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      <title>What the Nurses Ate</title>
      <link>https://statistical.systems/essays/what_the_nurses_ate/</link>
      <pubDate>Tue, 01 Sep 2026 00:01:00 -0400</pubDate>
      
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      <description>In 1914, a federal doctor walked an asylum in Mississippi where the patients caught a deadly disease and the nurses never did. Part four of four: my four questions about what a house, a clinic and a bill can do for a body, each answered by finding its nurses, the comparison group its method needs.</description>
      <content:encoded><![CDATA[<p>In 1914, Joseph Goldberger walked through an asylum where patients died and nurses did not. The asylum stood in Jackson, Mississippi, and many of its nurses slept on the wards. The patients had pellagra, which started as a rash, red and rough like a bad sunburn, on the backs of the hands and neck. Then came diarrhea, confusion, and for many, death. In under four years, pellagra had killed 98 patients there and not touched one nurse.</p>
<p>Goldberger was a federal doctor, and the South offered him three suspects. The first was a germ. A commission studying the disease in South Carolina judged it most likely an infection, spreading fastest where the sewage was handled worst. The second was spoiled corn. The third was a biting insect, the favorite of an expert in London. Each suspect would have struck anyone who shared the asylum&rsquo;s wards.</p>
<p><img loading="lazy" src="/images/011%20-%20fig1%20pellagra%20babcock.jpg" type="" alt="A black-and-white photograph of a bearded man in a dark coat, his arms folded across his chest so that the backs of both hands face the camera. The skin on his hands and forearms is thickened, cracked and scaled from the knuckles to above the wrist"  /></p>
<p><em>Figure 1.</em> A man with pellagra, photographed by Dr. James W. Babcock, who ran South Carolina&rsquo;s state asylum. The rash on the backs of the hands is what the Jackson patients had and the nurses did not. National Institutes of Health History Office, courtesy of the Waring Historical Library, Medical University of South Carolina, via <a href="https://commons.wikimedia.org/wiki/File:Pellagra_NIH.jpg">Wikimedia Commons</a>; public domain.</p>
<p>The asylum&rsquo;s own doctor told Goldberger of one patient who fell ill after 15 years inside and another after 20. Whatever caused pellagra was working within the walls. Yet the asylum had hired 126 nurses and attendants since 1909. Of them, Goldberger wrote, &ldquo;No case, so far as I was able to learn, has developed.&rdquo; &ldquo;If pellagra be a communicable disease,&rdquo; he asked, &ldquo;why should there be this exemption of the nurses and attendants?&rdquo;</p>
<p>The difference was on the plate. The nurses ate from the same kitchen, but they took the best and the widest variety first, and they could buy more outside. The patients had no such choice. The next year, on a prison farm near Jackson, eleven healthy prisoners were promised pardons. In return, they ate a diet built on grits, cornbread and syrup for months. By November, six of them had the rash. In the spring of 1916, Goldberger and a few volunteers swallowed pills made from patients&rsquo; scabs and stool, and took injections of their blood. &ldquo;We just feasted on filth,&rdquo; he said. None of them caught pellagra.</p>
<p>The cause was in the kitchen, and the kitchen was set by the pay. Mill and sharecropper families in the South lived on cornmeal, fat pork and molasses, often bought on credit. No one isolated the missing vitamin, niacin, until 1937, eight years after Goldberger died. By the late 1940s, laws in Southern states required niacin in bread, flour and cornmeal, and pellagra had nearly vanished. The germ hunters had searched the patients&rsquo; bodies, and the answer sat on the plate across the table.</p>
<p>On a visit home you watch a parent carry the laundry basket down the basement stairs, one hand on the wall, nothing to hold. Whoever lives with them has stopped seeing the bare wall. More than one older person in four falls each year. The basket raises a question, and it is not whether a fall is coming. It is what comparison would show whether a rail, a class or a check would keep them on their feet. Without one, the fall arrives as the first reading anyone took, and the couch downstairs becomes the bed.</p>
<p>The woman this series has followed since twenty-five is sixty-six now. At fifty-five a scan read her hip at -1.8: thin, yet not thin enough for the word osteoporosis, so no one treated it. One February evening, in socks, she misses the third stair from the bottom, the one with nothing to hold, and lands on that hip. It breaks anyway. Medicare pays for the surgery the next morning. Nothing ever paid for a rail. A year after a broken hip, only 40 to 60 percent of people walk the way they did before.</p>
<p>The third part gave the body&rsquo;s side its methods. This part asks what a house, a clinic and a bill can do for a body, the tree&rsquo;s other half, and whether a method answers each question directly. Four questions hang there. Which cheap signals warn of decline before a first fall, and does finding decline sooner change anything? After a first fall, how do we break the loop of fear, moving less and weaker legs? Which changes to a home keep people on their own longest per dollar? And how do we pay for function kept rather than procedures done? Goldberger solved his case with two groups under one roof, alike in everything but the plate. Each of my four questions needs two groups like those. Who, in her story, are the nurses?</p>
<h2 id="before-the-first-fall">Before the First Fall</h2>
<p>In the spring of 1927, the Mississippi River broke through its levees and flooded farms across the South. Families waited out the water in Red Cross camps, on rations heavy in cornmeal. Goldberger toured the flooded states and found pellagra spreading. On his advice, the Red Cross added brewer&rsquo;s yeast, which supplies what cornmeal lacks. Within weeks, the sick were recovering and new cases stopped. The rations changed while the outbreak was still running.</p>
<p>A body gives warnings too, if someone takes the reading. A stopwatch and a few meters of floor can predict who will still be alive in ten years. Stephanie Studenski and colleagues pooled nine studies, about 34,000 older adults in all, whose usual walking speed had been timed. Take men of 75. About one in five of the slowest walkers was predicted to reach 85. Of the fastest, nearly nine in ten.</p>
<p>The walk is timed over 5 to 10 meters. Grip is measured by squeezing a handheld gauge, and a review of the measure calls it &ldquo;a good simple measure of muscle strength&rdquo; when the conditions are standard. Low grip predicts longer hospital stays, more trouble with daily tasks, and death. Both take a minute. Which cheap signals warn of decline in time to act, and how could they be checked as routinely as blood pressure? My questions on the tree&rsquo;s other half start there (Q211, Figure 2).</p>
<div style="max-width:760px;margin:2.4rem auto;padding:1.6rem 1.5rem 1.4rem;background:#14161b;border:1px solid #2b303a;border-radius:14px;color:#e7eaef;font-family:-apple-system,system-ui,sans-serif;line-height:1.5">
<p style="font-family:ui-monospace,'SF Mono',Menlo,monospace;font-size:.66rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:0 0 .35rem">Part two</p>
<div style="background:rgba(246,141,49,.10);border:1px solid rgba(246,141,49,.55);border-radius:10px;padding:.75rem .85rem;font-family:Georgia,'Times New Roman',serif;font-style:italic;font-size:.9rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 3;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;"><span style="display:inline-block;align-self:center;font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f68d31;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q21</span><span style="display:block;justify-self:stretch">How do we detect subclinical functional decline early enough to intervene before cascading losses begin?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:400;font-size:.72rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> the surrogate endpoint</span></div>
<p style="font-family:ui-monospace,'SF Mono',Menlo,monospace;font-size:.66rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:.9rem 0 .35rem">Answerable questions</p>
<div style="display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:10px;align-items:stretch"><div style="background:rgba(246,141,49,.10);border:1px solid rgba(246,141,49,.55);border-radius:10px;padding:.75rem .85rem;font-family:Georgia,'Times New Roman',serif;font-style:italic;font-size:.9rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 4;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;box-shadow:0 0 0 2px #e04d2a;background:rgba(224,77,42,.16);color:#fff;"><span style="display:inline-block;align-self:center;font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f68d31;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q211</span><span style="display:block;justify-self:stretch">Which low-cost functional biomarkers (gait speed, grip strength, sensory loss, social withdrawal) best predict transitions to frailty, and how do we embed them in routine primary care?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:400;font-size:.72rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> lead-time bias; stepped-wedge cluster trial</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.2rem;font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:400;font-size:.72rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">Method:</b> risk prediction model, checked for discrimination and calibration</span></div><div style="background:rgba(246,141,49,.10);border:1px solid rgba(246,141,49,.55);border-radius:10px;padding:.75rem .85rem;font-family:Georgia,'Times New Roman',serif;font-style:italic;font-size:.9rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 4;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;box-shadow:0 0 0 2px #e04d2a;background:rgba(224,77,42,.16);color:#fff;"><span style="display:inline-block;align-self:center;font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f68d31;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q212</span><span style="display:block;justify-self:stretch">What interventions most effectively interrupt the post-fall cascade of fear of falling, activity restriction and deconditioning?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:400;font-size:.72rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> recurrent events</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.2rem;font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:400;font-size:.72rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">Method:</b> multistate model</span></div></div>
<div style="margin-top:1.6rem;padding-top:1rem;border-top:1px solid #2b303a;color:#9aa2ae;font-size:.84rem;line-height:1.55;max-width:68ch"><i>Figure 2.</i> Part of the tree that breaks the healthspan gap down until one study can take each piece: the third way in (Q21), split in two: the early signals before a first fall (Q211), and the loop after it (Q212). Frailty is the state in which three or more of five signs are present: unintended weight loss, exhaustion, a weak grip, a slow walk and low activity. Deconditioning is the strength a body loses to disuse. Drawn for this piece.</div>
</div>
<p>A walk needs a heart, lungs, nerves, muscles, joints and balance all at once, so a slow one cannot say which of them failed. In 2009, two physical therapists called walking speed &ldquo;the sixth vital sign,&rdquo; a number read, like <a href="/essays/a_second_hand_on_the_dial/#who-set-normal">any vital sign, against a person&rsquo;s own normal</a>. Like a smoke alarm, it says something is wrong in the house, not which room is burning. That makes it a good alarm and a poor diagnosis, and an alarm is checked two ways. A risk prediction model combines several readings, each with its own weight, into one probability of falling in the next year. Gait and grip at her checkups from fifty-five on would have been its inputs. At fifty-five the checkup read her blood, and nobody timed her walk.</p>
<figure class="definition" id="def-discrimination-and-calibration" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">discrimination and calibration, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;Algorithms (or risk prediction models) should give higher risk estimates for patients with the event than for patients without the event (&lsquo;discrimination&rsquo;). The accuracy of risk estimates, relating to the agreement between the estimated and observed number of events, is called &lsquo;calibration&rsquo;.&rdquo;</p>
      <figcaption class="definition-by">Ben Van Calster and colleagues, for the STRATOS initiative, <a href="https://doi.org/10.1186/s12916-019-1466-7"><em>BMC Medicine</em></a> 17, 2019</figcaption>
    </div>
  </div>
</figure>

<p>Discrimination asks whether the model ranks her above a neighbor who never falls. Calibration asks whether, of women it scores at 30 percent, about 30 in 100 fall. Both are checked <a href="/essays/the_handle_came_off_late/#same-number-different-roads">the way the third part checked its levels</a>, on people the model never saw. A model can rank well and still be miscalibrated for one group. The second part planted the case: in diabetes, a bone scan looks better than the bone. At any given scan reading, people with diabetes break more hips than a fracture model predicts. The scan that read -1.8 at fifty-five was reading her hip through her diabetes. In a fracture model, she is in the group for which the predicted breaks come out too few. A model wrong for her group is wrong in the direction that left her hip untreated.</p>
<p>The second part used a cheap signal at the end of a study, <a href="/essays/broad_street_pneumonia/#clues-outside-the-building">as a surrogate</a>: a reading that substitutes for an outcome years away. A screen uses that signal at the start, and the start hides a trap. Suppose a timed walk flags her at 58 instead of 66, and nothing done in between changes the day she falls. Counted from the flag, she seems to live eight years longer with frailty, and not one of those years is new.</p>
<figure class="definition" id="def-lead-time-bias" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">lead-time bias, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;A distortion overestimating the apparent time surviving with a disease caused by bringing forward the time of its diagnosis&rdquo;</p>
      <figcaption class="definition-by">Catalogue of Bias Collaboration (Oke, Fanshawe and Nunan), <a href="https://catalogofbias.org/biases/lead-time-bias/"><em>Catalogue of Bias</em></a>, 2021</figcaption>
    </div>
  </div>
</figure>

<p>A fair count starts everyone at the same line, a birthday or the day a study began. Whether checking the walk routinely keeps people on their feet is a question for a trial, and one kind of trial is built for clinics. In a stepped-wedge cluster trial, clinics are assigned at random to the order in which they switch the check on. Every clinic ends up checking, and the early ones are the comparison for the late ones. Her clinic was scheduled to switch on in the spring after her fall. The clinics that switched on before hers were her nurses: a checkup like hers, with a stopwatch added.</p>
<p>A parent&rsquo;s yearly checkup leaves a question for the drive home: was the walk timed, or only the blood read? Walking speed over a few meters is the number to ask for, and the cue is the visit itself. No one took a reading in her house, so the first one was the fall on the third stair. Would anyone count the second fall?</p>
<h2 id="the-spring-it-came-back">The Spring It Came Back</h2>
<p>Pellagra came back in the spring, much as one fall invites the next. Someone who survived one attack often had another the next year. So when Goldberger changed the meals at two orphanages in Jackson in 1914, adding milk, eggs, beans and peas, he counted the second attack. At one, none of the 67 children past the anniversary of their last attack fell ill again. At the other, one of 105 did.</p>
<p>Her loop starts after the hospital. Six weeks after the surgery she is home, and the stairs frighten her, so she sleeps on the couch downstairs. Fear of falling, in the field&rsquo;s words, is low confidence in avoiding a fall during the ordinary tasks of a day. It sets <a href="/essays/twenty_three_cats/#how-a-system-moves">a reinforcing loop</a> running. A fall leads to fear, and fear to moving less. Moving less leads to deconditioning, the strength a body loses to disuse, and weaker legs lead to the next fall. Breaking that loop after a first fall is my second question (Q212).</p>
<p>A count that stopped at the first attack would have missed Goldberger&rsquo;s test. A loop needs a method that counts more than once, and many studies stop the clock at the first fall. A fall that happens again to the same person is a recurrent event, and every one has to be counted, over time, the way Goldberger counted the second spring. The difference shows in a review of 108 exercise trials in people over sixty living at home. Exercise cut the rate of falls by 23 percent, but the number of people who fell at all by only 15 percent. The 23 percent rests on the 59 trials that counted every fall. Fewer falls and fewer fallers are two answers, and the gap between them lies in the second and third falls, the ones a count of fallers never sees.</p>
<figure class="definition" id="def-multistate-model" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">multistate model, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;Multistate models offer a versatile framework for studying such processes through the analysis of transition rates between different health states.&rdquo;</p>
      <figcaption class="definition-by">Malka Gorfine, Richard Cook, Per Kragh Andersen and colleagues, for the STRATOS initiative, <a href="https://doi.org/10.1002/sim.70493"><em>Statistics in Medicine</em></a> 45, 2026</figcaption>
    </div>
  </div>
</figure>

<p>A multistate model follows people as they move between steady, fallen, afraid and housebound, and sometimes back, and asks which move is easiest to block. <a href="/essays/the_handle_came_off_late/#how-much-is-enough">The third part&rsquo;s competing risk</a> is a small multistate model: one starting state and two exits, with death as one of them. Here the moves multiply. In the spring after her fall she comes down the stairs for the mail, in shoes this time, and falls on the second step. That second fall is her recurrent event, and the model asks whether the move from afraid to housebound made that fall more likely. Her nurses would be people sent to an exercise class after a first fall, and the model would show which move the class slowed. Few fall trials report every move between states, so which move to target first is still open.</p>
<p>Whoever drives a parent home after a fall can ask two questions before leaving the emergency room. Which program does the hospital send people to, and who will call in two weeks? The two weeks after discharge is the window, and the discharge sheet is the cue. Without those answers, the couch downstairs is already the next state. A rail would have changed the stair, and the stair is the next question.</p>
<h2 id="one-rail-one-dollar">One Rail, One Dollar</h2>
<p>A rail for her stairs takes a handyman an afternoon, two brackets per stretch of wall and a length of wood. In Chicago in 1995, the surroundings&rsquo; side of the healthspan question was a machine in a window, an air conditioner lowering what the heat asked of a body. At sixty-six it is a rail on a stair.</p>
<p>The second part put <a href="/essays/broad_street_pneumonia/#questions-no-lab-can-grow">a grab bar from a program called CAPABLE</a> beside the money it saved Medicare. CAPABLE is a complex intervention, its handyman, nurse and therapist sent as one bundle. Its result cannot say what the rail alone was worth. My third question asks which changes to a home keep people independent longest per dollar (Q221, Figure 3).</p>
<div style="max-width:760px;margin:2.4rem auto;padding:1.6rem 1.5rem 1.4rem;background:#14161b;border:1px solid #2b303a;border-radius:14px;color:#e7eaef;font-family:-apple-system,system-ui,sans-serif;line-height:1.5">
<p style="font-family:ui-monospace,'SF Mono',Menlo,monospace;font-size:.66rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:0 0 .35rem">Part two</p>
<div style="background:rgba(246,141,49,.10);border:1px solid rgba(246,141,49,.55);border-radius:10px;padding:.75rem .85rem;font-family:Georgia,'Times New Roman',serif;font-style:italic;font-size:.9rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 3;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;"><span style="display:inline-block;align-self:center;font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f68d31;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q22</span><span style="display:block;justify-self:stretch">How do we lower environmental press in homes, communities, and care, so that reduced capacity still yields full functional ability?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:400;font-size:.72rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> the complex intervention</span></div>
<p style="font-family:ui-monospace,'SF Mono',Menlo,monospace;font-size:.66rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:.9rem 0 .35rem">Answerable questions</p>
<div style="display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:10px;align-items:stretch"><div style="background:rgba(246,141,49,.10);border:1px solid rgba(246,141,49,.55);border-radius:10px;padding:.75rem .85rem;font-family:Georgia,'Times New Roman',serif;font-style:italic;font-size:.9rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 4;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;box-shadow:0 0 0 2px #e04d2a;background:rgba(224,77,42,.16);color:#fff;"><span style="display:inline-block;align-self:center;font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f68d31;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q221</span><span style="display:block;justify-self:stretch">Which home and neighborhood modifications yield the greatest gains in disability-free life years per dollar?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:400;font-size:.72rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> the factorial randomized trial</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.2rem;font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:400;font-size:.72rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">Method:</b> cost-effectiveness analysis</span></div><div style="background:rgba(246,141,49,.10);border:1px solid rgba(246,141,49,.55);border-radius:10px;padding:.75rem .85rem;font-family:Georgia,'Times New Roman',serif;font-style:italic;font-size:.9rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 4;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;box-shadow:0 0 0 2px #e04d2a;background:rgba(224,77,42,.16);color:#fff;"><span style="display:inline-block;align-self:center;font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f68d31;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q222</span><span style="display:block;justify-self:stretch">How do we move from fee-for-service to value-based payment that rewards function preserved?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:400;font-size:.72rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> parallel trends</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.2rem;font-family:ui-monospace,'SF Mono',Menlo,monospace;font-style:normal;font-weight:400;font-size:.72rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">Method:</b> difference-in-differences</span></div></div>
<div style="margin-top:1.6rem;padding-top:1rem;border-top:1px solid #2b303a;color:#9aa2ae;font-size:.84rem;line-height:1.55;max-width:68ch"><i>Figure 3.</i> The fourth way in (Q22), split in two: which changes to a home buy the most independence (Q221), and how payment could reward function kept (Q222). Environmental press is the load a home or street puts on a body, such as a stair with nothing to hold. Fee-for-service pays for each service performed; value-based payment pays for the quality of care. Drawn for this piece.</div>
</div>
<p>Pulling CAPABLE&rsquo;s three parts apart is a design question, and the design is older than the program.</p>
<figure class="definition" id="def-factorial-randomized-trial" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">factorial randomized trial, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;An alternative may be a factorial trial, where for two interventions participants are allocated to receive neither intervention, one or the other, or both.&rdquo;</p>
      <figcaption class="definition-by">Alan Montgomery, Tim Peters and Paul Little, <a href="https://doi.org/10.1186/1471-2288-3-26"><em>BMC Medical Research Methodology</em></a> 3, 2003 (abstract)</figcaption>
    </div>
  </div>
</figure>

<p>Four arms: the rail alone, the therapist alone, both, neither. The arm with the rail alone would be her nurses, the one result CAPABLE could never show, and the arm with neither is her, on the February evening. Then the &ldquo;per dollar&rdquo; needs its fraction. A cost-effectiveness analysis divides the extra cost of a change by the extra benefit it buys. The benefit is counted in health rather than money, so options can be set side by side as cost per outcome. For a rail, the top of the fraction is the afternoon&rsquo;s work. The bottom is the second part&rsquo;s disability-free life years, counted as years lived without needing help to bathe, dress or climb the stairs. Count the bottom as years alive instead, and the rail looks almost worthless, because most falls do not kill.</p>
<p>The steps in a parent&rsquo;s home with nothing to hold are the count to take on the next visit. A rail&rsquo;s price against a fall&rsquo;s is the fraction in one line. The fraction still leaves out who pays. The rail is bought from one budget, and the surgery it saves comes off another. Whose budget pays is a question about the bill, not the house.</p>
<h2 id="paid-for-the-plate">Paid for the Plate</h2>
<p>A family that paid for enriched flour in 1945 got the vitamin without deciding to. The flour laws decided for them, and better wages put more on the plate. Pay had set the kitchen, and pay reset it. A system that paid for her surgery and never paid for her rail is set the same way.</p>
<p>Most American care is fee-for-service, a fee for each service performed, and keeping someone on her feet earns no fee. Paying for the quality of care instead, which the field calls value-based payment, would reward the rail. My fourth question is how to get there (Q222).</p>
<p>No trial can assign half a country to a new way of paying. But in 2019 a rule let Medicare Advantage plans, the private plans many people on Medicare choose, cover home safety changes such as stair rails. Some plans began to cover them, and others did not. That split is a natural experiment, the kind <a href="/essays/the_handle_came_off_late/#older-than-its-owner">the third part found in Snow&rsquo;s two water companies</a>: the world, not a researcher, sorted people into two groups.</p>
<figure class="definition" id="def-difference-in-differences" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">difference-in-differences, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;To reduce confounding and support causal inference, DiD compares changes in outcomes over time between a &ldquo;treated&rdquo; group exposed to a policy change and a &ldquo;comparator&rdquo; group not exposed to the change. A fundamental underlying assumption, known as the parallel trends assumption, is that the treated and comparison groups would have had parallel outcome trends in the absence of the policy change.&rdquo;</p>
      <figcaption class="definition-by">Guangyi Wang, Rita Hamad and Justin White, <a href="https://doi.org/10.1097/ede.0000000000001755"><em>Epidemiology</em></a> 35, 2024</figcaption>
    </div>
  </div>
</figure>

<p>Count hip fractures among members of plans that started paying for rails, before 2019 and after. Do the same for plans that did not. The change in the first group, minus the change in the second, estimates what the rule did. Members of the paying plans would be her nurses: the same kind of stairs, a different plan card. The trap is that plans chose for themselves, and the ones that chose may have had healthier members. The years before 2019 are the check. If both groups were moving in step before the rule, a gap that opens after it is more likely the rule&rsquo;s work. I have not found a study that has run this comparison yet. <a href="/essays/twenty_three_cats/#why-ask-before-the-fix">The cost of a fix shows up somewhere else</a>, and here it shows up as a rail no budget owns.</p>
<p>The plan&rsquo;s benefits booklet, when the enrollment mail comes in October, is where the question lands: does the plan pay for a rail or a grab bar? Between October 15 and December 7, people on Medicare can switch plans, and a daughter helping her mother choose can ask that one question before the premium. A plan chosen on its premium alone goes on paying for falls.</p>
<p>Each of the four questions now has its nurses. Each faces the same test as the body&rsquo;s questions: what data to gather, which method, and whether that method gives a direct answer once the data are in. None of the data has to exist yet.</p>
<table>
  <thead>
      <tr>
          <th></th>
          <th>Data to collect</th>
          <th>Method</th>
          <th>Answers directly?</th>
      </tr>
  </thead>
  <tbody>
      <tr>
          <td>Q211</td>
          <td>Partly collected. Gait and grip at routine checkups, then falls and frailty over the next years, with diabetes recorded; clinics that switch the check on in turn</td>
          <td>risk prediction model, checked for discrimination and calibration (design: stepped-wedge cluster trial)</td>
          <td>Yes, in two steps: the model says who will fall; the trial says whether checking keeps people on their feet. Every outcome counted from the same age</td>
      </tr>
      <tr>
          <td>Q212</td>
          <td>Partly collected. After a first fall, each state and the date of each move: fallen, afraid, moving less, housebound, a second fall, death</td>
          <td>multistate model</td>
          <td>Yes, if every state is recorded with its date</td>
      </tr>
      <tr>
          <td>Q221</td>
          <td>Not yet. Costs and disability-free years in four arms: rail alone, therapist alone, both, neither</td>
          <td>cost-effectiveness analysis (design: factorial randomized trial)</td>
          <td>Yes, once the factorial trial exists; with bundle data only, the question splits again</td>
      </tr>
      <tr>
          <td>Q222</td>
          <td>Partly collected. Which plans paid for rails before and after the 2019 rule, and their members&rsquo; function over the same years</td>
          <td>difference-in-differences</td>
          <td>Yes, if paying and non-paying plans&rsquo; members moved in step before 2019</td>
      </tr>
  </tbody>
</table>
<p><em>Figure 4.</em> The four surroundings questions, traced back to the data each one needs. &ldquo;Partly collected&rdquo;: some studies hold it, though no clinic gathers it routinely. Drawn for this piece.</p>
<p>Three versions of her close the question, and they are the first part&rsquo;s figure drawn through one life. In the first, she fell on the third stair at sixty-six, and the couch downstairs was the beginning of her sick years. In the second, the fall came at seventy-two instead, and she spent the same years on the couch, only later. In the third, a timed walk flagged her at fifty-eight, she kept training, and a rail went in that spring. When the fall came it was one fall, and the years that followed were her own. The second version is delay. The third is compression.</p>
<p>The third version is exactly the comparison lead-time bias corrupts: counted from the flag at fifty-eight, she looks as if she lived longest with frailty. So count every version from the same birthday, as years without disability from fifty-eight on, the way the first part&rsquo;s figure counts, by age and not by diagnosis. On that count the third version wins, and the count is one a statistician would sign.</p>
<blockquote>
<p><strong>A Closing Invitation</strong>. <em>What the nurses ate stood for a cause, and a fix, outside the body: a stair, a missing check, a bill. In the versions of her, the gap closes when the sick years shrink, not when they move later.</em></p>
<ol>
<li><em>Right now, picture the stairs in your home or a parent&rsquo;s, and count the steps with nothing to hold. Which step would you miss in socks? Would the plan card in your wallet pay for a rail beside it?</em></li>
<li><em>If someone you love fell in the last year, ask them two things: which program the hospital sent them to, and who called two weeks later. Which of the two did no one mention?</em></li>
<li><em>At this month&rsquo;s checkup, yours or a parent&rsquo;s past seventy, ask out loud: &ldquo;Has anyone timed my walk? When will they do it again?&rdquo; Which answer would change what happens before the next fall?</em></li>
</ol>
<p><em>Her third stair has a rail now, and the years counted from fifty-eight are hers. <a href="/essays/every_candle_still_burns/">The next piece</a> counts years like hers for a whole country. In Jackson the fix sat on the nurses&rsquo; plate; in Chicago, beyond a shut window.</em></p></blockquote>
<h2 id="where-this-came-from">Where This Came From</h2>
<p>Goldberger is remembered for the filth parties. His partner went on to something quieter. From 1921 to 1924, Edgar Sydenstricker&rsquo;s team visited about 1,800 families in Hagerstown, Maryland, and wrote down every illness, not only every death. The Hagerstown study was one of the first American surveys to count how often a town was sick, and it grew into the National Health Survey. The healthspan gap rests on that idea: count the years spent unwell, not only the years alive.</p>
<p><strong>Intellectual Honesty Note.</strong> The woman at sixty-six is invented. The February evening, the socks, the third stair, the couch downstairs, the second fall, the rail, her clinic&rsquo;s place in the stepped wedge and the three versions of her are illustrations. The parent on the basement stairs and the closing&rsquo;s scenes are too. The three versions are counted from the same birthday, as years without disability from fifty-eight on, which is this piece&rsquo;s own device. Her miscalibration rests on a study of older adults with diabetes, which fits her at sixty-six better than at fifty-five. The list of three suspects is this piece&rsquo;s device. Goldberger&rsquo;s 1914 reading of the nurses&rsquo; plates was an inference from reports and visits. The prison farm and the orphanage diets came after, and &ldquo;We just feasted on filth&rdquo; is quoted from a secondary account. Reading the gap between fewer falls and fewer fallers as the second and third falls is my reading, not a claim the review&rsquo;s authors make. The stepped-wedge trial, the factorial trial of the rail and the difference-in-differences study of the 2019 rule are designs drawn up here; none has been run. Walking speed and grip strength appear in plain words, not as definition boxes, from two reviews: Middleton, Fritz and Lusardi on walking speed, and Roberts and colleagues on grip. The answerability table names data to collect, not studies that exist.</p>
<h2 id="references">References</h2>
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<p>Centers for Disease Control and Prevention. (2026). <em>Facts about older adult falls</em>. Retrieved October 8, 2026, from <a href="https://www.cdc.gov/falls/data-research/facts-stats/index.html">https://www.cdc.gov/falls/data-research/facts-stats/index.html</a></p>
<p>Centers for Medicare &amp; Medicaid Services. (n.d.). <em>Value-based programs</em>. Retrieved October 8, 2026, from <a href="https://www.cms.gov/medicare/quality/value-based-programs">https://www.cms.gov/medicare/quality/value-based-programs</a></p>
<p>Centers for Medicare &amp; Medicaid Services. (2018, April 27). <em>Reinterpretation of &ldquo;primarily health related&rdquo; for supplemental benefits</em> [HPMS memorandum].</p>
<p>Clay, K., Schmick, E., &amp; Troesken, W. (2017). <em>The rise and fall of pellagra in the American South</em> (NBER Working Paper No. 23730). National Bureau of Economic Research.</p>
<p>Collins, G. S., Reitsma, J. B., Altman, D. G., &amp; Moons, K. G. M. (2015). Transparent reporting of a multivariable prediction model for individual prognosis or diagnosis (TRIPOD): The TRIPOD statement. <em>BMC Medicine, 13</em>, 1. <a href="https://doi.org/10.1186/s12916-014-0241-z">https://doi.org/10.1186/s12916-014-0241-z</a></p>
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<p>Fried, L. P., Tangen, C. M., Walston, J., Newman, A. B., Hirsch, C., Gottdiener, J., et al. (2001). Frailty in older adults: Evidence for a phenotype. <em>Journals of Gerontology: Series A, 56</em>(3), M146–M156. <a href="https://doi.org/10.1093/gerona/56.3.m146">https://doi.org/10.1093/gerona/56.3.m146</a></p>
<p>Fritz, S., &amp; Lusardi, M. (2009). White paper: &ldquo;Walking speed: The sixth vital sign.&rdquo; <em>Journal of Geriatric Physical Therapy, 32</em>(2), 2–5.</p>
<p>Goldberger, J. (1914). The etiology of pellagra: The significance of certain epidemiological observations with respect thereto. <em>Public Health Reports, 29</em>(26), 1683–1686.</p>
<p>Goldberger, J., Waring, C. H., &amp; Willets, D. G. (1915). The prevention of pellagra: A test of diet among institutional inmates. <em>Public Health Reports, 30</em>(43), 3117–3131.</p>
<p>Goldberger, J., &amp; Wheeler, G. A. (1915). Experimental pellagra in the human subject brought about by a restricted diet. <em>Public Health Reports, 30</em>(46), 3336–3339.</p>
<p>Goldberger, J., Wheeler, G. A., &amp; Sydenstricker, E. (1920). A study of the relation of family income and other economic factors to pellagra incidence in seven cotton-mill villages of South Carolina in 1916. <em>Public Health Reports, 35</em>(46), 2673–2714.</p>
<p>Gorfine, M., Cook, R. J., Kragh Andersen, P., Therneau, T. M., Joly, P., Putter, H., et al. (2026). An overview and recent developments in the analysis of multistate processes. <em>Statistics in Medicine, 45</em>(10–12), e70493. <a href="https://doi.org/10.1002/sim.70493">https://doi.org/10.1002/sim.70493</a></p>
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<p>Hemming, K., Taljaard, M., McKenzie, J. E., Hooper, R., Copas, A., Thompson, J. A., et al. (2018). Reporting of stepped wedge cluster randomised trials: Extension of the CONSORT 2010 statement with explanation and elaboration. <em>BMJ, 363</em>, k1614. <a href="https://doi.org/10.1136/bmj.k1614">https://doi.org/10.1136/bmj.k1614</a></p>
<p>Kwok, C. S., Hinton, A. V., Lip, G. Y. H., Qureshi, A. I., &amp; Borovac, J. A. (2026). Deconditioning in cardiovascular disease. <em>Coronary Artery Disease</em>. <a href="https://doi.org/10.1097/mca.0000000000001667">https://doi.org/10.1097/mca.0000000000001667</a></p>
<p>Medicare.gov. (n.d.). <em>Joining a plan</em>. Retrieved October 9, 2026, from <a href="https://www.medicare.gov/basics/get-started-with-medicare/get-more-coverage/joining-a-plan">https://www.medicare.gov/basics/get-started-with-medicare/get-more-coverage/joining-a-plan</a></p>
<p>Middleton, A., Fritz, S. L., &amp; Lusardi, M. (2015). Walking speed: The functional vital sign. <em>Journal of Aging and Physical Activity, 23</em>(2), 314–322. <a href="https://doi.org/10.1123/japa.2013-0236">https://doi.org/10.1123/japa.2013-0236</a></p>
<p>Montgomery, A. A., Peters, T. J., &amp; Little, P. (2003). Design, analysis and presentation of factorial randomised controlled trials. <em>BMC Medical Research Methodology, 3</em>, 26. <a href="https://doi.org/10.1186/1471-2288-3-26">https://doi.org/10.1186/1471-2288-3-26</a></p>
<p>National Institute for Health and Care Excellence. (n.d.). Cost-effectiveness analysis. In <em>NICE glossary</em>. Retrieved October 8, 2026, from <a href="https://www.nice.org.uk/glossary?letter=c">https://www.nice.org.uk/glossary?letter=c</a></p>
<p>Oke, J., Fanshawe, T., &amp; Nunan, D. (2021). Lead time bias. In <em>Catalogue of Bias</em>. <a href="https://catalogofbias.org/biases/lead-time-bias/">https://catalogofbias.org/biases/lead-time-bias/</a></p>
<p>Roberts, H. C., Denison, H. J., Martin, H. J., Patel, H. P., Syddall, H., Cooper, C., &amp; Sayer, A. A. (2011). A review of the measurement of grip strength in clinical and epidemiological studies: Towards a standardised approach. <em>Age and Ageing, 40</em>(4), 423–429. <a href="https://doi.org/10.1093/ageing/afr051">https://doi.org/10.1093/ageing/afr051</a></p>
<p>Schwartz, A. V., Vittinghoff, E., Bauer, D. C., et al. (2011). Association of BMD and FRAX score with risk of fracture in older adults with type 2 diabetes. <em>JAMA, 305</em>(21), 2184–2192. <a href="https://pmc.ncbi.nlm.nih.gov/articles/PMC3287389/">https://pmc.ncbi.nlm.nih.gov/articles/PMC3287389/</a></p>
<p>Science History Institute. (n.d.). <em>Joseph Goldberger&rsquo;s filth parties.</em> Distillations. <a href="https://www.sciencehistory.org/stories/magazine/joseph-goldbergers-filth-parties/">https://www.sciencehistory.org/stories/magazine/joseph-goldbergers-filth-parties/</a></p>
<p>Sherrington, C., Fairhall, N. J., Wallbank, G. K., et al. (2019). Exercise for preventing falls in older people living in the community. <em>Cochrane Database of Systematic Reviews</em>, CD012424.</p>
<p>Studenski, S., Perera, S., Patel, K., et al. (2011). Gait speed and survival in older adults. <em>JAMA, 305</em>(1), 50–58.</p>
<p>Sydenstricker, E. (1925). The incidence of illness in a general population group: General results of a morbidity study from December 1, 1921, through March 31, 1924, in Hagerstown, Md. <em>Public Health Reports, 40</em>(7), 279–291.</p>
<p>Szanton, S. L., Xue, Q.-L., Leff, B., et al. (2019). Effect of a biobehavioral environmental approach on disability among low-income older adults: A randomized clinical trial. <em>JAMA Internal Medicine, 179</em>(2), 204–211.</p>
<p>Thompson-McFadden Pellagra Commission. (1914). <em>First progress report of the Thompson-McFadden Pellagra Commission of the New York Post-Graduate Medical School and Hospital.</em> Republican Publishing Company.</p>
<p>Tinetti, M. E., Richman, D., &amp; Powell, L. (1990). Falls efficacy as a measure of fear of falling. <em>Journal of Gerontology, 45</em>(6), P239–P243. <a href="https://doi.org/10.1093/geronj/45.6.p239">https://doi.org/10.1093/geronj/45.6.p239</a></p>
<p>Van Calster, B., McLernon, D. J., van Smeden, M., Wynants, L., &amp; Steyerberg, E. W. (2019). Calibration: The Achilles heel of predictive analytics. <em>BMC Medicine, 17</em>, 230. <a href="https://doi.org/10.1186/s12916-019-1466-7">https://doi.org/10.1186/s12916-019-1466-7</a></p>
<p>Wang, G., Hamad, R., &amp; White, J. S. (2024). Advances in difference-in-differences methods for policy evaluation research. <em>Epidemiology, 35</em>(5), 628–637. <a href="https://doi.org/10.1097/EDE.0000000000001755">https://doi.org/10.1097/EDE.0000000000001755</a></p>
<p>Watson, V., Tudur Smith, C., &amp; Bonnett, L. J. (2024). Systematic review of methods used in prediction models with recurrent event data. <em>Diagnostic and Prognostic Research, 8</em>, 13. <a href="https://doi.org/10.1186/s41512-024-00173-5">https://doi.org/10.1186/s41512-024-00173-5</a></p>
<p>Wilcox, L. S. (2005). Old black water. <em>Preventing Chronic Disease, 2</em>(Special issue). <a href="https://www.cdc.gov/pcd/issues/2005/nov/05_0191.htm">https://www.cdc.gov/pcd/issues/2005/nov/05_0191.htm</a></p>
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    <item>
      <title>The Handle Came Off Late</title>
      <link>https://statistical.systems/essays/the_handle_came_off_late/</link>
      <pubDate>Tue, 25 Aug 2026 00:01:00 -0400</pubDate>
      
      <guid>https://statistical.systems/essays/the_handle_came_off_late/</guid>
      <description>In 1854, two water companies ran their pipes down the same London streets, and the houses on one company&amp;#39;s water died of cholera at eight times the rate of their neighbors. Part three of four: my three questions about the body each get a method that answers them directly, and an answer counts only if it arrives in time to change something.</description>
      <content:encoded><![CDATA[<p>In the summer of 1854, two water companies ran their pipes down the same streets south of the Thames in London. Households drank from one or the other, and one company drew its water from the river downstream of the city&rsquo;s sewage. The other had moved its intake upstream. The pipes ran side by side, and neighbors often could not say which company filled their taps. That summer, cholera came back.</p>
<p>A doctor named John Snow went house to house to find out which company served each house. Where people could not say, he carried a little of their water home in a small bottle. A drop of silver nitrate, a chemical that clouds in salty water, turned the downstream company&rsquo;s water cloudy white and left the upstream supply nearly clear. Through that epidemic, the downstream company&rsquo;s houses lost 315 people to cholera for every 10,000 houses. The upstream company&rsquo;s lost 37. That is more than eight times the deaths, among people who shared streets, air and weather.</p>
<p><img loading="lazy" src="/images/010%20-%20fig1%20snow%20map2%201855%20water%20companies.jpg" type="" alt="A hand-colored map of the districts of London south of the Thames, from Snow&rsquo;s 1855 book: one water company&rsquo;s area shaded blue, the other&rsquo;s red, and a band of purple where the two companies&rsquo; pipes run down the same streets"  /></p>
<p><em>Figure 1.</em> The water supply of the districts south of the Thames, from John Snow&rsquo;s <em>On the Mode of Communication of Cholera</em> (second edition, 1855). Blue is the Southwark and Vauxhall company&rsquo;s area, red the Lambeth company&rsquo;s, and purple the streets where &ldquo;the pipes of both Companies are intermingled.&rdquo; The color is the data, so this map is not shown in grayscale. Public domain, via Project Gutenberg ebook 72894.</p>
<p>&ldquo;What causes cholera?&rdquo; was a debate. Most doctors held that disease rose from filth as a foul smell, a miasma. A government committee wrote of Snow&rsquo;s idea, &ldquo;we see no reason to adopt this belief.&rdquo; The debate could not be settled as asked. A smaller question could. Do houses on the downstream company&rsquo;s water die more than their neighbors on the upstream company&rsquo;s? Nobody chose which houses got which pipe; a landlord had, years before, for reasons that had nothing to do with cholera. The world had sorted the groups, and counting answered the question directly.</p>
<p>The patient portal pings after a blood test, and this year&rsquo;s blood sugar sits beside last year&rsquo;s, a little higher, still marked in range. More than two in five American adults have prediabetes, blood sugar above normal but not yet diabetes. Eight in ten people with prediabetes do not know they have it. You read the number on a phone in the kitchen you grew up in, a parent with diabetes at the table. Do you act on a number still marked in range, or wait a year for the next test? The portal cannot say whether a number read now arrives in time to change anything.</p>
<p>The woman of <a href="/essays/the_window_stayed_shut/">the Chicago heat-wave piece</a>, who wrote out her four-part question at forty-seven, is fifty-five now. One checkup adds a second name to her polycystic ovary syndrome (PCOS), a hormone disorder that often makes the body respond poorly to insulin. Her HbA1c reads 6.6 percent. HbA1c is a blood test that reads the average blood sugar over about three months, and at 6.5, a doctor calls it diabetes. Women with PCOS carry about three and a half times the risk of type 2 diabetes. A review of 23 studies found that excess only in women whose weight was also high. Hers has been high since the chart read a body mass index of 27 at twenty-five. Thirty years of metformin, a pill that helps the body use insulin, delayed the diagnosis and did not prevent it.</p>
<p>The same checkup reads her hip: a T-score of -1.8, a measure of how far bone density falls below a young adult&rsquo;s average. That is low, but short of the -2.5 that defines osteoporosis. Two chronic conditions in one woman, PCOS and diabetes, make the multimorbidity the second part&rsquo;s trial was built for. The checkup reads her blood and her bone, and nobody times her walk. She leaves with two leaflets and the same breakfast waiting at home.</p>
<p>Before any data, the second part said, each of my questions has to set its comparison, its measure, and its rule for whatever happens partway through. This part asks the next thing of the three questions on the body&rsquo;s side: once the data exist, is there a method that answers each one directly? Snow&rsquo;s count is the standard. The handle on the Broad Street pump, the better-known half of his story, came off after the dying had slowed. First, her training, which she has kept up since forty-seven: how much of it is enough?</p>
<h2 id="how-much-is-enough">How Much Is Enough</h2>
<p>Two strength days and three walks a week, for eight years. Her question at fifty-five is whether that is the least that keeps her walking on her own at eighty, or more than she needs. The second part&rsquo;s computer model of bone said a higher start buys more than a slower fall. Most of the bone a body will ever have is laid down by about thirty. The hip that reads -1.8 is still spending what she banked in her twenties. What is the smallest dose of strength and aerobic training in midlife that keeps the most function at eighty? That is my first question (Q111, Figure 2).</p>
<div style="max-width:760px;margin:2.4rem auto;padding:1.6rem 1.5rem 1.4rem;background:#14161b;border:1px solid #2b303a;border-radius:14px;color:#e7eaef;font-family:'Source Serif 4',Georgia,serif;line-height:1.5">
<p style="font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-size:.6rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:0 0 .35rem">Part two</p>
<div style="background:rgba(245,196,81,.10);border:1px solid rgba(245,196,81,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.95rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 3;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;"><span style="display:inline-block;justify-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f5c451;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q11</span><span style="display:block;justify-self:stretch">How do we maximize peak physiological and cognitive reserve in early and mid adulthood to raise the threshold at which decline becomes clinically meaningful?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> the estimand; the intercurrent event</span></div>
<p style="font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-size:.6rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:.9rem 0 .35rem">Answerable question</p>
<div style="background:rgba(245,196,81,.10);border:1px solid rgba(245,196,81,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.86rem;line-height:1.45;text-align:center;display:grid;grid-row:span 4;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;box-shadow:0 0 0 2px #e04d2a;background:rgba(224,77,42,.16);color:#fff;"><span style="display:inline-block;justify-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f5c451;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q111</span><span style="display:block;justify-self:stretch">What is the minimum effective dose of midlife resistance and aerobic training for preserving physical function at 80?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> dose-response; competing risk</span><span style="display:block;justify-self:stretch;text-align:left;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae;margin-top:.15rem"><b style="font-weight:600;color:#c3c9d2">Method:</b> dose-response modeling (restricted cubic splines); Fine-Gray competing-risks regression</span></div>
<div style="margin-top:1.6rem;padding-top:1rem;border-top:1px solid #2b303a;color:#9aa2ae;font-size:.84rem;line-height:1.55;max-width:68ch"><i>Figure 2.</i> One branch of the question tree that splits the healthspan gap into questions a single study could answer: the first way in (Q11), narrowed to one such question. Resistance training is strength training: the muscles push against a load. Drawn for this piece.</div>
</div>
<p>In exercise science, a minimal dose is the smallest amount of training, below the usual guideline, that still produces the benefit. Finding it starts with a curve. Hannah Arem and colleagues pooled six studies of about 661,000 adults and counted deaths at each level of weekly leisure exercise. The standard recipe is 150 minutes of moderate activity a week. Those who exercised but fell short of it had about a 20 percent lower risk of dying than those who did nothing. Meeting it brought the drop to 31 percent. Most of the drop came with the first steps up from doing nothing, and less with each step after. A curve that bends near zero means the first ten minutes buy more than the last ten.</p>
<p>A trial that sets the full recipe against nothing can say whether exercise helps. It cannot say where the bend sits, because it measures only two points on the curve. Finding the smallest dose that works takes several doses, and a model that lets the curve bend where the data bend.</p>
<figure class="definition" id="def-dose-response-model" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">dose-response model, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;Dose-response models are regression models where the independent variable is usually referred to as the dose or concentration whilst the dependent variable is usually referred to as response or effect.&rdquo;</p>
      <figcaption class="definition-by">Christian Ritz, Florent Baty, Jens Streibig and Daniel Gerhard, <a href="https://doi.org/10.1371/journal.pone.0146021"><em>PLoS ONE</em></a> 10, 2015</figcaption>
    </div>
  </div>
</figure>

<p>The bend is drawn with restricted cubic splines: short curved pieces joined smoothly into one line. The line is held straight at the two ends, where the data thin out, so it can bend in the middle without flapping at the tails. Her dose, two strength days and three walks, is one point on that curve. What matters is whether the curve has flattened by the time it reaches her.</p>
<p>Then comes the heart attack at seventy that the second part wrote into her question as an event the study has to plan for. Her diabetes makes it likelier: people with diabetes die of any cause at about 1.8 times the rate of people without. Someone who dies at seventy never gets measured walking at eighty. Drop that person from the count, and the study assumes, without saying so, that she would have walked like the women who lived. The first part found that deaths make poor witnesses, since each is tallied under a single cause. Here death is not a cause to be sorted but an exit that rules out the outcome. My field calls such an exit a competing risk.</p>
<figure class="definition" id="def-competing-risk" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">competing risk, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;A competing risk is an event whose occurrence precludes the occurrence of the primary event of interest.&rdquo;</p>
      <figcaption class="definition-by">Peter Austin, Douglas Lee and Jason Fine, <a href="https://doi.org/10.1161/CIRCULATIONAHA.115.017719"><em>Circulation</em></a>, 2016</figcaption>
    </div>
  </div>
</figure>

<p>For the method to fit, the outcome has to be a time, not a snapshot. It is the age at which she can no longer walk on her own, with death before that as the competing event. Function measured once at eighty is a different problem, because the women who died first have no reading at all. Jason Fine and Robert Gray gave the time version its model in 1999. Their regression keeps the women who died in the denominator instead of treating them as if they had simply left the study. Fine-Gray regression, run on a curve of doses, gives the chance of losing independent walking by eighty at each dose, with death counted as its own answer. The training is chosen, not assigned, so the curve is an association; a causal &ldquo;enough&rdquo; needs a trial that assigns doses, which is another split.</p>
<p>Sunday&rsquo;s plan for the week, written on the fridge, is one week of the dose. The guideline pairs the 150 minutes with strength work on two or more days, and the strength days are what to look for on the plan. Counting them takes a pen and a minute. The dose is one question. Which level of the body the answer lives at is another.</p>
<h2 id="same-number-different-roads">Same Number, Different Roads</h2>
<p>Two people can leave the same clinic with the same 6.6 percent and different futures. In 2018, a Swedish team sorted about 9,000 adults newly diagnosed with diabetes. Six measurements split them into five groups. In one group, the cells that make insulin were failing. Another group made plenty of insulin that the body could not use, and that group had the highest risk of kidney disease. All of them came from one region of southern Sweden. One number on the lab sheet, and at least five roads behind it.</p>
<p>Which road a person is on depends on the level at which the disease is modeled. A body is built in levels, each made of the one below: molecules, cells, tissues, organs, organ systems, the whole organism. A disease can be modeled at a gene, at a pathway that many genes feed, at a network of pathways, or at the whole person. Which level is the right one, and can the data say? That is my second question (Q121, Figure 3).</p>
<div style="max-width:980px;margin:2.4rem auto;padding:1.6rem 1.5rem 1.4rem;background:#14161b;border:1px solid #2b303a;border-radius:14px;color:#e7eaef;font-family:'Source Serif 4',Georgia,serif;line-height:1.5">
<p style="font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-size:.6rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:0 0 .35rem">Part two</p>
<div style="background:rgba(245,196,81,.10);border:1px solid rgba(245,196,81,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.95rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 3;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;"><span style="display:inline-block;justify-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f5c451;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q12</span><span style="display:block;justify-self:stretch">Can targeting the shared hallmarks of aging, per the geroscience hypothesis, delay multimorbidity more effectively than single-disease models?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> the composite outcome</span></div>
<p style="font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-size:.6rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:.9rem 0 .35rem">Answerable questions</p>
<div style="display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:10px;align-items:stretch"><div style="background:rgba(245,196,81,.10);border:1px solid rgba(245,196,81,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.86rem;line-height:1.45;text-align:center;display:grid;grid-row:span 4;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;box-shadow:0 0 0 2px #e04d2a;background:rgba(224,77,42,.16);color:#fff;"><span style="display:inline-block;justify-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f5c451;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q121</span><span style="display:block;justify-self:stretch">At what level of biological organization should disease mechanism be modeled: gene, pathway, gene network, or whole organism?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> the genome-wide association study</span><span style="display:block;justify-self:stretch;text-align:left;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae;margin-top:.15rem"><b style="font-weight:600;color:#c3c9d2">Method:</b> multilevel model comparison by nested cross-validation</span></div><div style="background:rgba(245,196,81,.10);border:1px solid rgba(245,196,81,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.86rem;line-height:1.45;text-align:center;display:grid;grid-row:span 4;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;box-shadow:0 0 0 2px #e04d2a;background:rgba(224,77,42,.16);color:#fff;"><span style="display:inline-block;justify-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f5c451;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q122</span><span style="display:block;justify-self:stretch">Which modifiable exposures slow biological aging, and does the biological age gap predict disease beyond chronological age?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> natural experiment</span><span style="display:block;justify-self:stretch;text-align:left;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae;margin-top:.15rem"><b style="font-weight:600;color:#c3c9d2">Method:</b> Mendelian randomization; Cox regression adjusted for chronological age</span></div></div>
<div style="margin-top:1.6rem;padding-top:1rem;border-top:1px solid #2b303a;color:#9aa2ae;font-size:.84rem;line-height:1.55;max-width:68ch"><i>Figure 3.</i> The second way in (Q12), split into two questions a single study could take on. The biological age gap is how far a body or brain reads older or younger than its birthday. Drawn for this piece.</div>
</div>
<p>The gene level has its own design. A 2024 study pooled more than two and a half million people. It found 611 places in the genome linked to type 2 diabetes. The strongest, in a gene called TCF7L2, raises the risk by about 45 percent in people who carry one copy. Most of the rest raise it by a few percent each.</p>
<figure class="definition" id="def-genome-wide-association-study" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">genome-wide association study, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;Genome-wide association studies (GWAS) test hundreds of thousands of genetic variants across many genomes to find those statistically associated with a specific trait or disease.&rdquo;</p>
      <figcaption class="definition-by">Emil Uffelmann, Qin Qin Huang, Nchangwi Syntia Munung and colleagues, <a href="https://doi.org/10.1038/s43586-021-00056-9"><em>Nature Reviews Methods Primers</em></a> 1, 59, 2021 (abstract)</figcaption>
    </div>
  </div>
</figure>

<p>A genome has millions of places that could line up with diabetes by chance, and <a href="/essays/capped_not_deleted/#where-the-caps-came-off">so does the layer of marks on top of it</a>. So my field believes a single signal only when chance alone would give a result that strong less than about 5 times in 100 million. That line is called genome-wide significance. Then the study sorted its 611 signals into eight groups by what they seem to act on: the insulin-making cells, the way the body stores fat, the liver. Her own condition was searched the same way in 2018. A study of about 10,000 women with PCOS found 14 places in the genome past that line. Its genetic signal as a whole runs with obesity, fasting insulin and type 2 diabetes. At the gene level, her PCOS and her diabetes share ground. At the pathway level, that ground has a name, insulin resistance, and at the level of the whole person it is one woman at breakfast.</p>
<p>A GWAS answers only at the gene level. To choose between levels, the data have to be asked which one predicts best, and my field has a way to ask without fooling itself. Build a model at each level, gene, pathway, network, whole person, and test each one on people it never saw. The trap is that choosing a model&rsquo;s settings on the same people it is then scored on makes every model look better than it is. Nested cross-validation closes the trap with two loops. An inner loop picks the settings on training data only, and an outer loop scores the chosen model on data held entirely apart. It is work I have done on genetic data, and it answers &ldquo;which level predicts best&rdquo; directly. It does not say which level causes the disease.</p>
<p>The family-history box on an intake form, ticked for a parent&rsquo;s diabetes, is the same question in a kitchen. The thing to find out is the age the parent was diagnosed. The question to ask is whether the risk is shared through the genes or through the kitchen. A level that predicts is not yet a level that explains, and the third question asks what the body&rsquo;s own clock has to say.</p>
<h2 id="older-than-its-owner">Older Than Its Owner</h2>
<p>A model trained on thousands of brain scans learns what a healthy brain looks like from 40 to 70. Then it reads a new scan and returns a number: this brain looks 58, and its owner is 52. The number is a brain age, the age a model predicts from a scan, and the gap between it and the birthday is the thing to watch. A group of 669 Scottish adults, all born in 1936, had brain scans in their early seventies. Over the following years, those whose brains looked older than their age were more likely to die. In a 2013 study, older adults with type 2 diabetes had brains that looked about four and a half years older than their age. That study caught both at one moment, so it cannot say which came first.</p>
<p>Which exposures speed a body&rsquo;s clock, and does the gap between a body&rsquo;s age and its birthday predict the next disease? That is my third question (Q122). The first half is a question about cause, and cause is where Snow&rsquo;s water companies come back.</p>
<figure class="definition" id="def-natural-experiment" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">natural experiment, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;The common thread in most definitions is that exposure to the event or intervention of interest has not been manipulated by the researcher.&rdquo;</p>
      <figcaption class="definition-by">Peter Craig and colleagues, <a href="https://doi.org/10.1136/jech-2011-200375"><em>Journal of Epidemiology and Community Health</em></a>, 2012</figcaption>
    </div>
  </div>
</figure>

<p>Snow found two groups alike in almost everything but the water, so the water stood out, the way <a href="/essays/capped_not_deleted/#where-the-caps-came-off">migration sorted two groups who share an ancestry</a>. Nobody assigned the pipes at random, and Snow could only count. But a gap that large, between next-door neighbors, was hard to explain any other way.</p>
<p>Her weight raises the same kind of question. Did her weight bring on the PCOS, or did the PCOS bring the weight? No trial can assign weight at birth. Genes can. The variants that raise body weight are handed out at conception, by the shuffle of a parent&rsquo;s genes into a child, and no researcher chose who got them. In 2003, George Davey Smith and Shah Ebrahim named the design.</p>
<figure class="definition" id="def-mendelian-randomization" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">Mendelian randomization, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;Mendelian randomization—the random assortment of genes from parents to offspring that occurs during gamete formation and conception—provides one method for assessing the causal nature of some environmental exposures.&rdquo;</p>
      <figcaption class="definition-by">George Davey Smith and Shah Ebrahim, <a href="https://academic.oup.com/ije/article/32/1/1/642797"><em>International Journal of Epidemiology</em></a> 32, 2003 (abstract)</figcaption>
    </div>
  </div>
</figure>

<p>It is Snow&rsquo;s experiment, run at conception. In 1854 the landlord picked the water company, not the household. Here the shuffle of genes picks the exposure, not the person. Same design, a century and a half apart: the world sorted the groups, so counting can answer a question about cause. The 2018 PCOS study ran it, and its results suggested that variants for body mass index and fasting insulin &ldquo;play a causal role in PCOS.&rdquo; By that reading, her weight came first, not the other way round. Both designs hold only on one condition. Whatever sorted the groups has to reach the outcome through the exposure alone. For Snow, that means the water and not the landlord; here, the gene and not some other path the gene also takes. That condition can fail, and a study has to say what it did to check.</p>
<p>The second half of the question is prediction, and its method is older. Does a body that reads older than fifty-five get its next diagnosis sooner than a body that reads its age? Cox regression, from 1972, models the rate at which an event arrives from the measurements a person carries. Adjusted for the birthday, it asks whether the gap predicts anything beyond age alone. Fine-Gray, from the first section, is Cox&rsquo;s model adapted for a competing exit. Brain-age models pull their guesses toward the middle, so young brains read older and old brains read younger. The correction takes out the part of the gap that age alone predicts. What remains belongs to the person. The second part showed a bone scan earning standing as a stand-in for the outcome that counts; no reading of body or brain age has earned it yet.</p>
<p>Back on the patient portal, this year&rsquo;s blood sugar beside last year&rsquo;s asks the same question. Prediabetes runs from an HbA1c of 5.7 to 6.4 percent, and the thing to ask is what the trend predicts beyond the birthday. The decision it leads to is when to retest, and the step is to ask for the date before leaving the clinic.</p>
<p>Each of the three questions now has a method. Each also faces one check: name the data to collect, name the method, and ask whether the method answers the question directly once the data exists. The data does not have to exist yet.</p>
<table>
  <thead>
      <tr>
          <th></th>
          <th>Data to collect</th>
          <th>Method</th>
          <th>Answers directly?</th>
      </tr>
  </thead>
  <tbody>
      <tr>
          <td>Q111</td>
          <td>Partly collected. Strength days and walking minutes a week, measured more than once from 45 to 60; then the age each person can no longer walk on their own, and the date of any death before that</td>
          <td>dose-response modeling (restricted cubic splines); Fine-Gray competing-risks regression</td>
          <td>Yes, for the curve: the chance of losing independent walking at each dose, with death as its own exit. A causal &ldquo;enough&rdquo; needs a trial that assigns doses</td>
      </tr>
      <tr>
          <td>Q121</td>
          <td>Collected, at biobank scale. Genotypes, blood markers of insulin resistance and diagnoses, in the same people</td>
          <td>multilevel model comparison by nested cross-validation (design: genome-wide association study)</td>
          <td>Yes, for prediction: which level predicts best on people the models never saw. It does not say which level causes the disease</td>
      </tr>
      <tr>
          <td>Q122</td>
          <td>Partly collected. Genetic results for body mass index and for the disease; a brain or body age read once, then years of new diagnoses</td>
          <td>Mendelian randomization; Cox regression adjusted for chronological age</td>
          <td>Yes, both, with one condition: the variants must reach the disease through weight alone. Cox says whether the gap predicts beyond the birthday</td>
      </tr>
  </tbody>
</table>
<p><em>Figure 4.</em> From each question back to its data. &ldquo;Partly collected&rdquo; means some studies hold it, but not routinely. Drawn for this piece.</p>
<p>A count can answer cause and still arrive late. In September 1854, on Broad Street in Soho, Snow counted the dead. He found &ldquo;upwards of five hundred fatal attacks of cholera in ten days.&rdquo; They clustered within 250 yards of one pump. On the evening of 7 September, he put his case to the parish Board of Guardians. They were &ldquo;quite incredulous,&rdquo; but they ordered the handle taken off the next morning. The famous version ends there. Snow himself said otherwise. Many families had already fled, and the attacks had &ldquo;so far diminished&rdquo; before the pump was shut that it was &ldquo;impossible to decide&rdquo; whether removing the handle saved anyone.</p>
<p>The cause turned up in April 1855, at No. 40 Broad Street, the house nearest the pump. It was the one case a curate named Henry Whitehead had skipped, &ldquo;because it was the case of an infant.&rdquo; The baby had fallen ill on 28 August, three days before the street did. Its mother had soaked its diapers in pails and poured the water into the cesspool at the front of the house. The cesspool leaked, and the house drain ran 2 feet 8 inches from the well. The baby&rsquo;s father, a policeman, fell ill the day the handle came off, and his waste found its way into the same cesspool. This time no one could pump the water up, and the street had no second wave.</p>
<p>The second part found its comparison on a Broad Street in Philadelphia. This one is in London, more than a century earlier. On both, the people a count left out were the answer. The handle came off too late for the first wave and just in time for the second. The count was right, and it changed who drank only once the dying had done most of its work.</p>
<blockquote>
<p><strong>A Closing Invitation</strong>. <em>The handle on Broad Street stood for an answer that arrives right and late. When the world sorts the groups, by water company or by genes, counting can name a cause, but only an answer in time changes anything.</em></p>
<ol>
<li><em>Open the last lab result in your inbox and find one number with last year&rsquo;s beside it: blood sugar, blood pressure. Which way did it move, and did anything at breakfast move with it?</em></li>
<li><em>On Sunday, write the week&rsquo;s training on the fridge with the strength days circled: a set of squats, a bag carried up the stairs. Are there two, and which one would a busy week take first?</em></li>
<li><em>At your next checkup, when the doctor names a condition, such as prediabetes or low bone density, say aloud: &ldquo;Which kind, and what should I watch for next?&rdquo; What would the answer change this month?</em></li>
</ol>
<p><em>In 1999 the heat came back to Chicago, and the city knocked on doors in time; far fewer people died than in 1995. The next handle can come off early: a breakfast changed, a walk timed in the clinic room.</em></p></blockquote>
<h2 id="where-this-came-from">Where This Came From</h2>
<p>I first heard the physician Peter Attia during the pandemic, in a 2018 interview with Tom Bilyeu. Until then, staying healthy had meant one thing to me: not catching covid. Attia was training for what he called a hundred-year-old Olympics: squatting, carrying groceries, and playing with grandchildren at a hundred. He later wrote it up as the Centenarian Decathlon, a plan that starts from the end and trains backward. I was not married then, and I had no daughters. Now I have both, and the goal has faces. My dad takes our girls on bike rides and to the park. My mother-in-law, a stand-up comedian with a master&rsquo;s degree in early childhood education, plays with the babies as if they were her best audience. I want to play with my grandchildren the way they play with ours. Research can start from the end too, and that is the test all three questions here have to pass. My <a href="/research/#research-statement">research statement</a> asks the same of a causal claim: that it be solid enough to act on.</p>
<p><strong>Intellectual Honesty Note.</strong> The woman at fifty-five is invented; her hip at -1.8, her HbA1c of 6.6, her walks and strength days, and her weight are illustrations, and so is the 58-year-old brain on a 52-year-old. The 2018 PCOS genetics study covered women of European ancestry only. The father&rsquo;s waste reaching the cesspool, and &ldquo;no second wave,&rdquo; are Whitehead&rsquo;s own later reading, as Chave reports it. The Chicago 1999 count is from the city&rsquo;s own study of that heat wave. Nested cross-validation is summarized from my own paper, listed below, without further citations. Figure 4&rsquo;s &ldquo;collected&rdquo; and &ldquo;partly collected&rdquo; are my own reading of what large studies hold; the table names no study.</p>
<h2 id="references">References</h2>
<p>Ahlqvist, E., Storm, P., Käräjämäki, A., Martinell, M., Dorkhan, M., Carlsson, A., et al. (2018). Novel subgroups of adult-onset diabetes and their association with outcomes: A data-driven cluster analysis of six variables. <em>The Lancet Diabetes &amp; Endocrinology, 6</em>(5), 361–369.</p>
<p>American Diabetes Association Professional Practice Committee. (2024). Diagnosis and classification of diabetes: Standards of Care in Diabetes, 2024. <em>Diabetes Care, 47</em>(Suppl. 1), S20–S42.</p>
<p>Anagnostis, P., Paparodis, R. D., Bosdou, J. K., Bothou, C., Macut, D., Goulis, D. G., &amp; Livadas, S. (2021). Risk of type 2 diabetes mellitus in polycystic ovary syndrome is associated with obesity: A meta-analysis of observational studies. <em>Endocrine, 74</em>(2), 245–253. <a href="https://doi.org/10.1007/s12020-021-02801-2">https://doi.org/10.1007/s12020-021-02801-2</a></p>
<p>Arem, H., Moore, S. C., Patel, A., et al. (2015). Leisure time physical activity and mortality: A detailed pooled analysis of the dose-response relationship. <em>JAMA Internal Medicine, 175</em>(6), 959–967.</p>
<p>Attia, P., with Gifford, B. (2023). <em>Outlive: The Science and Art of Longevity.</em> Harmony.</p>
<p>Austin, P. C., Lee, D. S., &amp; Fine, J. P. (2016). Introduction to the analysis of survival data in the presence of competing risks. <em>Circulation, 133</em>(6), 601–609. <a href="https://doi.org/10.1161/CIRCULATIONAHA.115.017719">https://doi.org/10.1161/CIRCULATIONAHA.115.017719</a></p>
<p>Bilyeu, T. (2018, November 8). <em>Why you need to protect your joints if you want to live to be 100 | Peter Attia on Health Theory</em> [Video]. YouTube. <a href="https://www.youtube.com/watch?v=YY-_ux4ZXp4">https://www.youtube.com/watch?v=YY-_ux4ZXp4</a></p>
<p>Centers for Disease Control and Prevention. (2026). <em>A U.S. report card: Diabetes statistics</em>. Retrieved October 8, 2026, from <a href="https://www.cdc.gov/diabetes/communication-resources/diabetes-statistics.html">https://www.cdc.gov/diabetes/communication-resources/diabetes-statistics.html</a></p>
<p>Chave, S. P. W. (1958). Henry Whitehead and cholera in Broad Street. <em>Medical History, 2</em>(2), 92–108.</p>
<p>Chen, Z., Boehnke, M., Wen, X., &amp; Mukherjee, B. (2021). Revisiting the genome-wide significance threshold for common variant GWAS. <em>G3: Genes, Genomes, Genetics, 11</em>(2), jkaa056. <a href="https://doi.org/10.1093/g3journal/jkaa056">https://doi.org/10.1093/g3journal/jkaa056</a></p>
<p>Cholera Inquiry Committee. (1855). <em>Report on the cholera outbreak in the parish of St. James, Westminster, during the autumn of 1854.</em> J. Churchill.</p>
<p>Clark, M. A., Douglas, M., &amp; Choi, J. (2018). <em>Biology 2e</em> (Section 1.2, Themes and concepts of biology). OpenStax. <a href="https://openstax.org/books/biology-2e/pages/1-2-themes-and-concepts-of-biology">https://openstax.org/books/biology-2e/pages/1-2-themes-and-concepts-of-biology</a></p>
<p>Cole, J. H., &amp; Franke, K. (2017). Predicting age using neuroimaging: Innovative brain ageing biomarkers. <em>Trends in Neurosciences, 40</em>(12), 681–690. <a href="https://doi.org/10.1016/j.tins.2017.10.001">https://doi.org/10.1016/j.tins.2017.10.001</a></p>
<p>Cole, J. H., Ritchie, S. J., Bastin, M. E., Valdés Hernández, M. C., Muñoz Maniega, S., Royle, N., et al. (2018). Brain age predicts mortality. <em>Molecular Psychiatry, 23</em>, 1385–1392.</p>
<p>Cox, D. R. (1972). Regression models and life-tables. <em>Journal of the Royal Statistical Society: Series B, 34</em>(2), 187–202. <a href="https://doi.org/10.1111/j.2517-6161.1972.tb00899.x">https://doi.org/10.1111/j.2517-6161.1972.tb00899.x</a></p>
<p>Craig, P., Cooper, C., Gunnell, D., Haw, S., Lawson, K., Macintyre, S., et al. (2012). Using natural experiments to evaluate population health interventions: New MRC guidance. <em>Journal of Epidemiology and Community Health, 66</em>(12), 1182–1186.</p>
<p>Davey Smith, G., &amp; Ebrahim, S. (2003). &lsquo;Mendelian randomization&rsquo;: Can genetic epidemiology contribute to understanding environmental determinants of disease? <em>International Journal of Epidemiology, 32</em>(1), 1–22. <a href="https://academic.oup.com/ije/article/32/1/1/642797">https://academic.oup.com/ije/article/32/1/1/642797</a></p>
<p>Day, F., Karaderi, T., Jones, M. R., et al. (2018). Large-scale genome-wide meta-analysis of polycystic ovary syndrome suggests shared genetic architecture for different diagnosis criteria. <em>PLoS Genetics, 14</em>(12), e1007813. <a href="https://doi.org/10.1371/journal.pgen.1007813">https://doi.org/10.1371/journal.pgen.1007813</a></p>
<p>Emerging Risk Factors Collaboration. (2011). Diabetes mellitus, fasting glucose, and risk of cause-specific death. <em>New England Journal of Medicine, 364</em>(9), 829–841. <a href="https://doi.org/10.1056/NEJMoa1008862">https://doi.org/10.1056/NEJMoa1008862</a></p>
<p>Fine, J. P., &amp; Gray, R. J. (1999). A proportional hazards model for the subdistribution of a competing risk. <em>Journal of the American Statistical Association, 94</em>(446), 496–509. <a href="https://doi.org/10.1080/01621459.1999.10474144">https://doi.org/10.1080/01621459.1999.10474144</a></p>
<p>Franke, K., Gaser, C., Manor, B., &amp; Novak, V. (2013). Advanced BrainAGE in older adults with type 2 diabetes mellitus. <em>Frontiers in Aging Neuroscience, 5</em>, 90.</p>
<p>Gauran, I. I., Ombao, H., &amp; Yu, Z. (2025). <em>Predictive performance test based on the exhaustive nested cross-validation for high-dimensional data</em> (arXiv:2408.03138v2). <a href="https://arxiv.org/abs/2408.03138">https://arxiv.org/abs/2408.03138</a></p>
<p>General Board of Health, Committee for Scientific Inquiries. (1855). <em>Report on the cholera epidemic of 1854.</em> HMSO.</p>
<p>Grant, S. F. A., Thorleifsson, G., Reynisdottir, I., Benediktsson, R., Manolescu, A., Sainz, J., et al. (2006). Variant of transcription factor 7-like 2 (TCF7L2) gene confers risk of type 2 diabetes. <em>Nature Genetics, 38</em>(3), 320–323.</p>
<p>Harrell, F. E. (n.d.). <em>Regression modeling strategies</em> (Section 2.4.5, Restricted cubic splines) [Course notes]. Retrieved October 8, 2026, from <a href="https://hbiostat.org/rmsc/genreg">https://hbiostat.org/rmsc/genreg</a></p>
<p>Hernandez, C. J., Beaupré, G. S., &amp; Carter, D. R. (2003). A theoretical analysis of the relative influences of peak BMD, age-related bone loss and menopause on the development of osteoporosis. <em>Osteoporosis International, 14</em>(10), 843–847.</p>
<p>Kanis, J. A., McCloskey, E. V., Johansson, H., Oden, A., Melton, L. J., &amp; Khaltaev, N. (2008). A reference standard for the description of osteoporosis. <em>Bone, 42</em>(3), 467–475. <a href="https://doi.org/10.1016/j.bone.2007.11.001">https://doi.org/10.1016/j.bone.2007.11.001</a></p>
<p>Lu, J., Shin, Y., Yen, M.-S., &amp; Sun, S. S. (2016). Peak bone mass and patterns of change in total bone mineral density and bone mineral contents from childhood into young adulthood. <em>Journal of Clinical Densitometry, 19</em>(2), 180–191.</p>
<p>National Institute of Diabetes and Digestive and Kidney Diseases. (2018). <em>The A1C test &amp; diabetes.</em> <a href="https://www.niddk.nih.gov/health-information/diagnostic-tests/a1c-test">https://www.niddk.nih.gov/health-information/diagnostic-tests/a1c-test</a></p>
<p>Naughton, M. P., Henderson, A., Mirabelli, M. C., Kaiser, R., Wilhelm, J. L., Kieszak, S. M., et al. (2002). Heat-related mortality during a 1999 heat wave in Chicago. <em>American Journal of Preventive Medicine, 22</em>(4), 221–227.</p>
<p>Nuzzo, J. L., Pinto, M. D., Kirk, B. J. C., &amp; Nosaka, K. (2024). Resistance exercise minimal dose strategies for increasing muscle strength in the general population: An overview. <em>Sports Medicine, 54</em>(5), 1139–1162. <a href="https://doi.org/10.1007/s40279-024-02009-0">https://doi.org/10.1007/s40279-024-02009-0</a></p>
<p>Ritz, C., Baty, F., Streibig, J. C., &amp; Gerhard, D. (2015). Dose-response analysis using R. <em>PLoS ONE, 10</em>(12), e0146021. <a href="https://doi.org/10.1371/journal.pone.0146021">https://doi.org/10.1371/journal.pone.0146021</a></p>
<p>Snow, J. (1855). <em>On the Mode of Communication of Cholera</em> (2nd ed.). John Churchill. Project Gutenberg ebook 72894. <a href="https://www.gutenberg.org/ebooks/72894">https://www.gutenberg.org/ebooks/72894</a></p>
<p>Suzuki, K., Hatzikotoulas, K., Southam, L., Taylor, H. J., Yin, X., Lorenz, K. M., et al. (2024). Genetic drivers of heterogeneity in type 2 diabetes pathophysiology. <em>Nature, 627</em>, 347–357.</p>
<p>Uffelmann, E., Huang, Q. Q., Munung, N. S., de Vries, J., Okada, Y., Martin, A. R., et al. (2021). Genome-wide association studies. <em>Nature Reviews Methods Primers, 1</em>, 59. <a href="https://doi.org/10.1038/s43586-021-00056-9">https://doi.org/10.1038/s43586-021-00056-9</a></p>
<p>U.S. Department of Health and Human Services. (2018). <em>Physical activity guidelines for Americans</em> (2nd ed.). <a href="https://health.gov/our-work/nutrition-physical-activity/physical-activity-guidelines">https://health.gov/our-work/nutrition-physical-activity/physical-activity-guidelines</a></p>
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    <item>
      <title>Broad Street Pneumonia</title>
      <link>https://statistical.systems/essays/broad_street_pneumonia/</link>
      <pubDate>Tue, 18 Aug 2026 00:01:00 -0400</pubDate>
      
      <guid>https://statistical.systems/essays/broad_street_pneumonia/</guid>
      <description>Thirty-nine people who never set foot in a Philadelphia hotel in 1976 caught the illness spreading through a veterans&amp;#39; convention inside, and pointed investigators to the air. Part two of four: before any data, I decide who is compared and what is measured for each of my four questions about the healthspan gap, the way the investigators did on the sidewalk.</description>
      <content:encoded><![CDATA[<p>In July 1976, military veterans gathered at a hotel in Philadelphia for a convention. An illness spread among them. Thirty-nine of the people who caught it had never set foot inside. They had only been on Broad Street, within a block of the Bellevue-Stratford. Days later came aching muscles, a dry cough, and a fever that climbed fast. Five of them died. Whatever was making the veterans inside the hotel sick had reached the street.</p>
<p>The veterans belonged to the American Legion, and its members call themselves Legionnaires. Of the people tied to the convention, 182 fell ill, and 29 of them died. Counting the street, that made 221 sick and 34 dead. The suspects came one after another. Swine flu came first. Then a toxic metal compound, nickel carbonyl, that a person can breathe in. Then the hotel&rsquo;s own pesticides and cleaning products. Through the fall, the labs tested for poisons, bacteria, fungi and viruses, and found nothing to blame.</p>
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<p><em>Figure 1.</em> Two design choices. Left: the Bellevue-Stratford Hotel, with the Broad Street Line subway sign at the bottom of the frame; inside it or outside it was the population the investigators compared. Right: Joseph McDade (left) and Charles Shepard at a microscope at the CDC in 1977; the culture under it was the measure that first hid the answer. CDC Public Health Image Library (IDs 15278 and 8232), public domain.</p>
<p>&ldquo;What is making the Legionnaires sick?&rdquo; could not be answered as asked. The people on Broad Street made a simpler one possible: was the cause inside the hotel, or in the air around it? They had never eaten the food or drunk the water inside, so nothing served at the tables could have reached them. They had shared only the air near one building. Set beside the veterans, they pointed away from the kitchen. The investigators concluded that the exposure may have happened in the lobby or on the street just outside. The street cases went into the record under a name of their own: &ldquo;Broad Street Pneumonia.&rdquo;</p>
<p>The germ itself turned up in a narrower question still. Over Christmas, a CDC scientist named Joseph McDade went back to samples from the dead. The standard recipe for growing the kind of germ he was hunting added two antibiotics, to keep stray bacteria out. He left the antibiotics out, and a bacterium grew that no one had seen before. The recipe built to keep out the wrong germs had been killing the right one. The CDC announced the find on January 18, 1977. The bacterium was named for the people it first killed: <em>Legionella pneumophila</em>, the &ldquo;lung-loving&rdquo; one. Where it came from was never proven. The hotel&rsquo;s cooling tower, part of its air conditioning, later became the main suspect.</p>
<p>Two choices solved the case, and both were made before anyone knew the answer. The first was who to compare: the people on the sidewalk against the people inside. The second was what to measure: a culture grown one way hid the germ, and grown another way showed it. Made first, those two choices turned a mystery into a question someone could check.</p>
<p>You sign up for a strength class, two sessions a week, on a mat that smells of rubber. Three months in, a doctor adds a new prescription. By month six the stairs feel easier, and the question is whether the class did that, or the pill, or the summer. The cost is not the two sessions a week. It is six months of not knowing whether to keep paying for them, or whether to tell your sister to join. Compared with whom, and what counts if something changed partway? Decided afterwards, any answer fits.</p>
<p><a href="/essays/the_window_stayed_shut/">The first part of this series</a> set out the question in biostatistics I return to most: how to narrow the gap between lifespan and healthspan. Healthspan is the stretch of life spent in good health. By the end of that part, I had split the question in two: the body&rsquo;s own capacity, and the demands of the place a person lives in. Split once, each half is still more than a single study can take on, the way &ldquo;What is making the Legionnaires sick?&rdquo; was. Each splits again, into four ways in (Figure 2). Each way in needs what the sidewalk settled: who is compared, and what is measured. In my field, that pair written out in full, before any data exists, has a name: an estimand.</p>
<p>The woman of twenty-five from the first part is forty-seven now. Her PCOS, polycystic ovary syndrome, is a hormone condition that often comes with trouble using insulin. Three doctors saw her before anyone named it. She has started lifting weights, two mornings a week, to keep her hips strong. Whether that works is the first way in, and the first question that needs its comparison chosen in advance.</p>
<h2 id="start-higher">Start Higher</h2>
<p>Ten percent more bone at the start can put off osteoporosis by about thirteen years. Osteoporosis is bone thin enough to break easily. The number comes from a 2003 computer model of a woman&rsquo;s bones, built by Christopher Hernandez and colleagues. In the same model, slowing the loss by the same 10 percent bought about two years.</p>
<p>That starting supply is called reserve: what a body can draw on to withstand a stressor, beyond what daily life asks of it. The first way in builds a higher peak of reserve before decline begins (Q11). Then <a href="/essays/the_window_stayed_shut/#what-the-body-can-do">what a body can do on its own</a> still declines, but it crosses the line where the loss matters later. Reserve works like savings before retirement. Two people can spend at the same rate, and the one with the bigger balance runs out years later. Muscle, fitness and bone are three accounts. Unlike a bank balance, they shrink when left untouched.</p>
<div style="max-width:980px;margin:2.4rem auto;padding:1.6rem 1.5rem 1.4rem;background:#14161b;border:1px solid #2b303a;border-radius:14px;color:#e7eaef;font-family:'Source Serif 4',Georgia,serif;line-height:1.5">
<div style="overflow-x:auto"><div style="min-width:620px"><p style="font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-size:.6rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:.9rem 0 .35rem">The question</p>
<div style="display:grid;grid-template-columns:repeat(4,1fr);gap:10px;align-items:stretch"><div style="grid-column:1/5;background:linear-gradient(90deg,rgba(245,196,81,.16),rgba(246,141,49,.16));border:1px solid rgba(242,115,44,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:1rem;line-height:1.45;font-weight:600;text-align:center;display:flex;align-items:center;justify-content:flex-start;flex-direction:column;"><span style="display:inline-block;align-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.25rem;line-height:1;letter-spacing:.04em;color:#14161b;background:linear-gradient(90deg,#f5c451,#f68d31);padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q0</span>How do we compress morbidity so that the healthspan-lifespan gap narrows rather than simply shifting later?</div></div>
<p style="font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-size:.6rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:.9rem 0 .35rem">Functional ability: capacity and environment</p>
<div style="display:grid;grid-template-columns:repeat(4,1fr);gap:10px;align-items:stretch"><div style="grid-column:1/3;background:rgba(245,196,81,.10);border:1px solid rgba(245,196,81,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.9rem;line-height:1.45;font-weight:600;text-align:center;display:flex;align-items:center;justify-content:flex-start;flex-direction:column;"><span style="display:inline-block;align-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f5c451;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q1</span>How do we attenuate the age-related decline in intrinsic capacity across its trajectory?</div><div style="grid-column:3/5;background:rgba(246,141,49,.10);border:1px solid rgba(246,141,49,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.9rem;line-height:1.45;font-weight:600;text-align:center;display:flex;align-items:center;justify-content:flex-start;flex-direction:column;"><span style="display:inline-block;align-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f68d31;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q2</span>How do we restore person-environment fit, bringing environmental press back in line with competence?</div></div>
<p style="font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-size:.6rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:.9rem 0 .35rem">Four ways in</p>
<div style="display:grid;grid-template-columns:repeat(4,1fr);gap:10px;align-items:stretch"><div style="background:rgba(245,196,81,.10);border:1px solid rgba(245,196,81,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.86rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 3;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;"><span style="display:inline-block;justify-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f5c451;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q11</span><span style="display:block;justify-self:stretch">How do we maximize peak physiological and cognitive reserve in early and mid adulthood to raise the threshold at which decline becomes clinically meaningful?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> the estimand; the intercurrent event</span></div><div style="background:rgba(245,196,81,.10);border:1px solid rgba(245,196,81,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.86rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 3;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;"><span style="display:inline-block;justify-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f5c451;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q12</span><span style="display:block;justify-self:stretch">Can targeting the shared hallmarks of aging, per the geroscience hypothesis, delay multimorbidity more effectively than single-disease models?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> the composite outcome</span></div><div style="background:rgba(246,141,49,.10);border:1px solid rgba(246,141,49,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.86rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 3;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;"><span style="display:inline-block;justify-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f68d31;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q21</span><span style="display:block;justify-self:stretch">How do we detect subclinical functional decline early enough to intervene before cascading losses begin?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> the surrogate endpoint</span></div><div style="background:rgba(246,141,49,.10);border:1px solid rgba(246,141,49,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.86rem;line-height:1.45;font-weight:600;text-align:center;display:grid;grid-row:span 3;grid-template-rows:subgrid;row-gap:0;justify-items:center;align-content:start;"><span style="display:inline-block;justify-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f68d31;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q22</span><span style="display:block;justify-self:stretch">How do we lower environmental press in homes, communities, and care, so that reduced capacity still yields full functional ability?</span><span style="display:block;justify-self:stretch;text-align:left;margin-top:.55rem;padding-top:.45rem;border-top:1px dashed rgba(154,162,174,.35);font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:400;font-size:.66rem;line-height:1.45;color:#9aa2ae"><b style="font-weight:600;color:#c3c9d2">To define:</b> the complex intervention</span></div></div></div></div>
<div style="margin-top:1.6rem;padding-top:1rem;border-top:1px solid #2b303a;color:#9aa2ae;font-size:.84rem;line-height:1.55;max-width:68ch"><i>Figure 2.</i> The healthspan question (Q0), split twice: two branches (Q1, Q2), each into two ways in (Q11 to Q22), in the field's own terms. Each way in names what has to be defined before a study can answer it. Drawn for this piece.</div>
</div>
<p>The brain keeps one too, called cognitive reserve: the ability to use its networks more efficiently, or to call up other networks when one fails.</p>
<p>Fitness may be the largest account, and one that builds on itself. <a href="/essays/what_the_jelly_changed/#how-the-layers-loop">One hard ride on an exercise bike strips marks off the genes that build a muscle&rsquo;s energy supply</a>. Months of rides add capacity for the next. Her weights pay into two of the accounts, bone and muscle: resistance training, muscles working against a load, to raise the peak before the decline.</p>
<p>Whether her training raises the peak needs its question written out first. Thirty-nine sick people on one street gave the Philadelphia investigators a question with four parts. Who: people who had been within a block of the hotel but never went in. Exposed to what: the air around one building. What outcome: the illness. Compared with whom: the veterans inside, who had shared the food and water as well. Leave one part out, and almost any answer fits. <a href="/essays/what_the_spit_told_the_milk/#who-shares-more">Bacteria shared by a mother&rsquo;s milk and her baby&rsquo;s gut</a> mean little until someone asks whether a stranger&rsquo;s baby would share them too.</p>
<p>A question written out this way is an estimand. In 2019, the international council that sets rules for drug trials told trials to state theirs before they start.</p>
<figure class="definition" id="def-estimand" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">estimand, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;A precise description of the treatment effect reflecting the clinical question posed by the trial objective. It summarises at a population-level what the outcomes would be in the same patients under different treatment conditions being compared.&rdquo;</p>
      <figcaption class="definition-by">International Council for Harmonisation, <a href="https://database.ich.org/sites/default/files/E9-R1_Step4_Guideline_2019_1203.pdf"><em>E9(R1) Addendum on Estimands and Sensitivity Analysis in Clinical Trials</em></a>, 2019, p. 20</figcaption>
    </div>
  </div>
</figure>

<p>The woman&rsquo;s estimand reads this way. Who: women between 45 and 60 who do not train yet. Exposed to what: two short strength sessions and a few brisk walks a week. What outcome: physical function, which here means walking on her own at eighty. Compared with whom: women like her carrying on as before. The estimand is about the population, not about her alone. It asks how many more of those women are walking at eighty, and she is one of them.</p>
<p>Life gets in the way of a question that long. In November 2025, the FDA announced it would remove its strongest warning label, the boxed warning, from menopausal hormone therapy. More women may now start hormones during the transition. If she starts them halfway through, the hormones change her bone too. Some women quit the sessions. And some die before eighty. Her PCOS makes diabetes more likely, and a 50-year-old with diabetes dies, on average, six years earlier than one without. A heart attack at seventy is the death the question has to plan for. The guideline calls each of these an intercurrent event, and the estimand must say how they count before anyone enrolls.</p>
<figure class="definition" id="def-intercurrent-event" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">intercurrent event, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;Events occurring after treatment initiation that affect either the interpretation or the existence of the measurements associated with the clinical question of interest.&rdquo;</p>
      <figcaption class="definition-by">International Council for Harmonisation, <a href="https://database.ich.org/sites/default/files/E9-R1_Step4_Guideline_2019_1203.pdf"><em>E9(R1) Addendum on Estimands and Sensitivity Analysis in Clinical Trials</em></a>, 2019, p. 20</figcaption>
    </div>
  </div>
</figure>

<p>One trial, two true answers. If she starts hormones halfway through, one analysis counts her as trained, hormones and all, and asks what happened to women who were handed the sessions and lived their lives. Another asks whether she would still walk on her own at eighty had she never started hormones. Both are correct on the same data, because they answer different questions. The first part of this series found one death with four true answers. Here the estimand picks which true answer a study will give, before the data exist. A death that comes first is the hardest of the events, because it ends the outcome instead of changing it. The third part gives it a method of its own.</p>
<p>Someone starting a strength class this month can write the four parts on the back of the receipt. Compared with whom: a friend who did not sign up. What counts as working: the stairs at month six, timed. What happens if a new prescription starts partway: it goes on the receipt, with the date. Two sessions a week for six months is the cost. A receipt with four lines on it turns the cost into an answer. A body built higher still ages, and the second way in asks whether one pill could slow what drains it.</p>
<h2 id="what-the-diseases-share">What the Diseases Share</h2>
<p>For twenty-two years the woman has swallowed one pill with breakfast: metformin. It is a diabetes drug, prescribed for her periods at twenty-five. A trial called TAME was designed to test that cheap pill against aging itself. The second way in slows <a href="/essays/the_window_stayed_shut/#delay-done-whole">what the diseases share at the root</a>: the drivers that drain every reserve at once (Q12).</p>
<p>The field&rsquo;s name for those drivers is the hallmarks of aging, a short list of processes, such as chronic inflammation and worn-out cells that refuse to die. Each one shows with age, speeds aging when pushed, and slows it when treated. The field calls the premise the geroscience hypothesis: treating what aging does to a body should hold off many diseases at once, not one at a time.</p>
<p>TAME&rsquo;s design says how. Its authors chose not to study metformin&rsquo;s effect &ldquo;on each separate condition.&rdquo; Instead, they wrote, &ldquo;we will measure time to a new occurrence of a composite outcome that includes cardiovascular events, cancer, dementia, and mortality.&rdquo; The design works like a single stopwatch for four outcomes: whichever arrives first stops it, and that time is what the trial compares. That is the outcome part of an estimand, answered for a whole way in at once.</p>
<figure class="definition" id="def-composite-outcome" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">composite outcome, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;An intercurrent event is considered in itself to be informative about the patient&rsquo;s outcome and is therefore incorporated into the definition of the variable.&rdquo;</p>
      <figcaption class="definition-by">International Council for Harmonisation, <a href="https://database.ich.org/sites/default/files/E9-R1_Step4_Guideline_2019_1203.pdf"><em>E9(R1) Addendum on Estimands and Sensitivity Analysis in Clinical Trials</em></a>, 2019, section A.3.2 (composite variable strategies)</figcaption>
    </div>
  </div>
</figure>

<p>Death is on that stopwatch on purpose. A trial that counted only dementia would lose the people who died first, and the guideline names death as the plainest case for folding the event into the outcome. That is one way to handle the heart attack at seventy from the first way in: count it, instead of planning around it.</p>
<p>Attia&rsquo;s Four Horsemen, the first part&rsquo;s list of the four diseases most people die of, are heart disease, cancer, dementia and type 2 diabetes. TAME&rsquo;s composite counts three of the four as one outcome and leaves the fourth out. It leaves her out too. The trial would assign 3,000 people to metformin or a placebo at random. All would be 65 to 79, without diabetes. At forty-seven she is too young, and by fifty-five, as the third part tells, she will have diabetes. Her twenty-two years on the pill make her the trial&rsquo;s most interesting case and its excluded one.</p>
<p>Two or more chronic conditions in one person is what the field calls multimorbidity, and holding off that pile-up is the second way in. TAME&rsquo;s intercurrent event can already be named: someone given the placebo is diagnosed with diabetes and starts metformin outside the trial. The estimand has to say how that person counts. TAME has not enrolled anyone. Metformin is generic, so no drug company stands to make money from proving it works. In 2025 the trial&rsquo;s lead investigator, Nir Barzilai, said it was on hold while talks with the FDA went on.</p>
<p>The leaflet in a pharmacy bag says a drug lowers a risk by some percent. The questions to ask at the next refill: a risk of which outcome, in whom, compared with whom? A percent with no population under it fits anyone, and so fits no one. Whether a treatment slows the drivers can only be read on a stopwatch that runs for years. The third way in asks what a scan can read sooner.</p>
<h2 id="clues-outside-the-building">Clues Outside the Building</h2>
<p>At forty-seven, a technician scans the woman&rsquo;s hip for the first time. A break, if it comes, may be twenty years off, and no study of her training can wait for it. So the study reads her hip on a bone scan instead: a number that stands in for the fracture, the way McDade&rsquo;s culture stood in for the germ. The third way in catches decline early, before one loss cascades into others (Q21). Its first choice is what to measure in place of the thing itself.</p>
<p>In December 2025, the FDA accepted two years of change in hip bone density as a stand-in for fractures in drug trials. The rule covers women past menopause with osteoporosis. The stand-in has a name.</p>
<figure class="definition" id="def-surrogate-endpoint" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">surrogate endpoint, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;A surrogate endpoint is a clinical trial endpoint used as a substitute for a direct measure of how a patient feels, functions, or survives.&rdquo;</p>
      <figcaption class="definition-by">U.S. Food and Drug Administration, <a href="https://www.fda.gov/drugs/development-resources/surrogate-endpoint-resources-drug-and-biologic-development"><em>Surrogate Endpoint Resources for Drug and Biologic Development</em></a>, content current as of 2018-07-24</figcaption>
    </div>
  </div>
</figure>

<p>An endpoint is a variable defined precisely enough to be analyzed, chosen to reflect the outcome a study cares about. A surrogate is one that arrives sooner. It is only as good as its link to the real outcome, and the link can hold for most people and fail for a few. In type 2 diabetes, the bone scan reads better than the bone is. A 2011 study of older adults found that, for the same scan result and age, those with diabetes broke more bones than those without. Her own scan at forty-seven reads normal, and at fifty-five the third part reads it again.</p>
<p>The scan is one clue outside the building. There are cheaper ones. Long before a woman reports any difficulty climbing stairs, she may have changed how she climbs them, one hand on the rail, or how often. Linda Fried and colleagues named that stage preclinical disability: a task modified in method or frequency without any reported difficulty. It is the early, hidden decline of Figure 2&rsquo;s third way in, read from a question instead of a scan. The last part of this series asks which such clues are worth checking at every visit.</p>
<p>The number on a scan report, a bone-density score or a cholesterol reading, is a stand-in for something later. The question to ask when the report comes is what the number stands in for, and whether the link holds for someone like the person holding it. A reading that stands in well for the average patient and badly for this one is a number, not an answer. Where a fall happens, on a stair or beside a bathtub, is the last way in.</p>
<h2 id="questions-no-lab-can-grow">Questions No Lab Can Grow</h2>
<p>A handyman in Baltimore bolts a grab bar beside a bathtub, and the drill whines against the tile. The bar works the day it goes in. The last way in designs homes, communities and care so that a body with less can still live a full, independent life (Q22). About three in four Americans over fifty want to stay in their homes as they age.</p>
<p>The bar is part of a program called CAPABLE, which sends a nurse, an occupational therapist and a handyman into the homes of low-income older adults. CAPABLE was tested on 300 people, assigned at random. Five months in, those in the program had about 30 percent fewer problems with daily tasks like bathing and dressing. A later comparison estimated that Medicare saved about $22,000 per person over two years. The program cost near $3,000.</p>
<p>Written out like the Broad Street question, CAPABLE&rsquo;s reads this way. Who: 300 low-income adults in Baltimore with difficulty in daily tasks. Exposed to what: CAPABLE. What outcome: problems with daily tasks at five months. Compared with whom: adults given about ten home visits from a research assistant. The exposure is not a pill. It is a nurse, a therapist and a handyman working together in about ten visits. My field has a name for a treatment with that many parts.</p>
<figure class="definition" id="def-complex-intervention" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">complex intervention, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;An intervention might be considered complex because of properties of the intervention itself, such as the number of components involved; the range of behaviours targeted; expertise and skills required by those delivering and receiving the intervention; the number of groups, settings, or levels targeted; or the permitted level of flexibility of the intervention or its components.&rdquo;</p>
      <figcaption class="definition-by">Skivington and colleagues, for the Medical Research Council, <a href="https://pmc.ncbi.nlm.nih.gov/articles/PMC8482308/"><em>A new framework for developing and evaluating complex interventions</em></a>, <em>BMJ</em> 374, 2021</figcaption>
    </div>
  </div>
</figure>

<p>A trial of a complex intervention can say whether the bundle worked. It cannot say what the grab bar alone was worth, and that is a question for the last part. Its outcome can also run longer than five months. Over a whole life, limits on daily tasks add up to disability-free life years: the years a person can expect to live with no limit on what they can do. A country&rsquo;s healthy life expectancy is built the same way. CAPABLE counted five months.</p>
<p>The woman&rsquo;s own care has many parts and no bundle. At forty-seven she has three clinics. One treats the PCOS, one the blood sugar her metformin has held down for two decades, and one the hormones of the transition. Three clinics keep three files, and no file holds her bones, her blood sugar and her hormones together. The three doctors who each treated one part of her at twenty-five have become three buildings. A better trial does not fix that.</p>
<p><a href="/essays/the_window_stayed_shut/#opening-the-window">Chicago&rsquo;s knock on the door</a> set solving a problem beside dissolving it. The missing file is a problem to dissolve: a clinic built to follow one woman through every stage. That clinic would be a complex intervention, not a drug. Who would pay for it is a question no lab can grow, and the last part takes it up with the bill.</p>
<p>A parent with three clinics has three patient portals, and three passwords on a sticky note. The question to ask, at the next referral letter, is which clinic holds the whole list. The decision after that question is small: ask one of the three clinics to coordinate the others, and write its name at the top of the list.</p>
<blockquote>
<p><strong>A Closing Invitation</strong>. <em>The thirty-nine people on Broad Street stood for the estimand, the comparison chosen before anyone knew the answer. A question becomes checkable once you settle who is compared, what is measured, and what counts if life gets in the way.</em></p>
<ol>
<li><em><strong>Find the comparison.</strong> Now, or before the next checkup this month, write one count in your phone&rsquo;s notes and what to compare it with. Try the seconds to climb the stairs at home against last spring&rsquo;s, or this year&rsquo;s bone-scan number against the last one. Which has moved, and would anyone have noticed without the comparison?</em></li>
<li><em><strong>Name what you are building.</strong> This week, at the gym or on the walk, say out loud what reserve you, or someone you love, are putting away (bone, muscle, wind) and one thing that could change it partway (a new prescription, a surgery, a move). Would you count the months after it, or start the count again?</em></li>
<li><em><strong>Count the files.</strong> At the kitchen table, with a parent&rsquo;s appointment letters in a pile, or your own, count the clinics. Three clinics, three files: which one would you ask to hold the whole list, and what is the first thing you would want on it?</em></li>
</ol>
<p><em>Her hip scan is the measure, read at forty-seven and again at fifty-five, when it reads low. Which of the four ways in could have changed that? On Broad Street, the sick on the sidewalk were the comparison.</em></p></blockquote>
<h2 id="where-this-came-from">Where This Came From</h2>
<p>Russell Ackoff, in a talk on systems thinking, called a problem an abstraction pulled out of a mess. Trial statisticians reached the same worry from the other side. The 2019 estimand guideline grew from trials that reported an answer to a different question from the one they set out to ask, and the guideline is the origin of this piece&rsquo;s main term. The mess this series pulls its problems from is the one my <a href="/research/#research-statement">research statement</a> names: the years a body survives against the years it survives well.</p>
<p><strong>Intellectual Honesty Note.</strong> The woman at forty-seven is invented, and her weights, her hormones, her metformin, her hip scan and her three clinics are illustrations; so are the strength class, the receipt and the scenes in the closing. The hallmarks of aging, multimorbidity and the geroscience premise are given in plain words from their sources; Brian Kennedy and colleagues state the premise without using the term &ldquo;geroscience hypothesis,&rdquo; which is the field&rsquo;s name for it. The four-part estimand for her training, the scan as a stand-in, and the CAPABLE question in four parts are designs sketched here, not studies that were run. &ldquo;They had shared only the air near one building&rdquo; is this piece&rsquo;s reading. The four-part reading of the Broad Street question is this piece&rsquo;s, not the investigators&rsquo;. The guideline lists five attributes of an estimand; this piece folds them into four parts plus intercurrent events. The six years earlier is an average across 97 studies, adjusted for age, sex, smoking and body mass, and the scan-reads-better-than-the-bone finding comes from older adults, not women of forty-seven. The CAPABLE trial ran in one city.</p>
<h2 id="references">References</h2>
<p>Ackoff, R. L. (2015, November 2). <em>Systems thinking speech by Dr. Russell Ackoff</em> [Video]. YouTube. <a href="https://www.youtube.com/watch?v=EbLh7rZ3rhU">https://www.youtube.com/watch?v=EbLh7rZ3rhU</a></p>
<p>Attia, P., with Gifford, B. (2023). <em>Outlive: The Science and Art of Longevity.</em> Harmony.</p>
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<p>Sriprasert, I., Hodis, H. N., Mack, W. J., Rosser, M., Evans, M. L., Xu, X., &amp; Wright, J. D. (2026). Elimination of the black box warning on menopausal hormone therapy. <em>Obstetrics &amp; Gynecology</em>, 147, 642–646. <a href="https://doi.org/10.1097/AOG.0000000000006226">https://doi.org/10.1097/AOG.0000000000006226</a></p>
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    <item>
      <title>The Window Stayed Shut</title>
      <link>https://statistical.systems/essays/the_window_stayed_shut/</link>
      <pubDate>Tue, 11 Aug 2026 00:01:00 -0400</pubDate>
      
      <guid>https://statistical.systems/essays/the_window_stayed_shut/</guid>
      <description>In July 1995, Chicago&amp;#39;s medical examiner ran out of room for the dead, and three experts named three different killers. Part one of four: the biostatistics question I keep coming back to has four true answers at once, and it still splits cleanly into what a body can do and what its surroundings ask of it.</description>
      <content:encoded><![CDATA[<p>On July 14, 1995, Chicago&rsquo;s medical examiner ran out of room for the dead. The day before, the thermometer at Midway Airport had read 106 degrees. On an ordinary night, his office took in about 17 bodies. That day it took in 87, and the office asked the state for refrigerated trucks to hold the rest. Many of the dead were found in rooms where the windows had been shut and locked all week.</p>
<p>Most of them were old, and many lived alone on the upper floors of apartment buildings. They were more afraid of a stranger breaking the glass than of the air they were breathing. By the end of the week, about 739 more people had died in Chicago than in a normal July week.</p>
<p><img loading="lazy" src="/images/008%20-%20fig1%20cdc%20mmwr%201995%20deaths%20by%20day.gif" type="" alt="A bar chart of heat-related deaths in Chicago by day from July 11 to July 27, 1995, with the daily heat index drawn as a line above the bars. The bars are near zero until July 13, jump to a tall stack on July 14 and 15, then fall away over the following week"  /></p>
<p><em>Figure 1.</em> Deaths the Cook County medical examiner certified as heat-related, by day, Chicago, July 11 to 27, 1995, with the heat index above them. The count rose from 49 on July 14 to 162 on July 15, two days after the heat peaked. Centers for Disease Control and Prevention, <em>Morbidity and Mortality Weekly Report</em> 44(31), 1995. A United States government work, public domain.</p>
<p>Then the arguing started, and each person who looked at the dead saw a different killer.</p>
<p>The medical examiner, Edmund Donoghue, saw heat. His office certified 485 deaths that week as heat-related. It counted anyone found with a body temperature of at least 105 degrees, or in a home hot enough to explain the death. Epidemiologists from the Centers for Disease Control saw sickness. They interviewed the families and neighbors of 339 of the dead, then did the same for 339 living people matched by age and neighborhood. The people who died were more often already ill, living alone, and rarely out of the house. People with a working air conditioner had about a third of the odds of dying.</p>
<p>A sociologist named Eric Klinenberg saw the street. He spent years walking the West Side and found two neighborhoods, side by side, equally poor, with very different summers. North Lawndale lost 19 people. Little Village, next door, lost 3. Little Village had busy sidewalks and open shops, and its people had reasons to be out and to notice who was missing.</p>
<p>So which one killed them? Each answer is true, and each matches the job of the person giving it. The fourth killer was in every report and in no one&rsquo;s job title: the locked window. The killer was the four of them together: a sick body, in a hot room, behind a locked window, above a street where no one walked by. &ldquo;What killed them?&rdquo; has four true answers, so it cannot be answered as asked.</p>
<p>Sit for a moment in the chair at your next checkup, this month or the one after. The clipboard is on your knee, the pen is on its chain, and whoever drove you there waits by the door. The intake form gives each condition its own line, and each line has its own doctor. Nobody adds the lines up. When I reran the World Health Organization&rsquo;s numbers, the years a person spends unwell at the end of life came to about 9.3 in the median country in 2021. In the United States, they came to about twelve and a half. Those are the years waiting at the end of yours. Can those nine or twelve years shrink, or can they only move later? The form will not say. The lines stay apart, and so do the doctors.</p>
<p>Researchers call those years the healthspan-lifespan gap: life expectancy minus the years lived in good health. The dead in Chicago were already ill, living alone and rarely out of the house: they were living their gap years when the heat came. <em><strong>Of all the questions in biostatistics, how to narrow that gap is the one I keep coming back to.</strong></em> I want to answer it with my training as a statistician, and to teach myself the biology and medicine it takes. My rerun gave a country&rsquo;s number, not a person&rsquo;s. No one can be followed from birth to death with their health measured all along. So each country builds the gap from a table of this year&rsquo;s death rates by age and this year&rsquo;s share of each age group in poor health. The table applies those rates to a made-up group of newborns, as if the rates held for a whole life. The gap is real, and no one lives that average life. My question starts where the table stops, inside one life.</p>
<p>A question is answerable when it is stated precisely enough to name what it is asking for. A study that could actually be run can be designed for it. The data can be collected and analyzed. And the result is the thing the question asked about, not a stand-in for it. &ldquo;How do we narrow the gap?&rdquo; is none of these. Like the question about the dead in Chicago, it has to be split before any study can touch it. The dead show where to split it. The sick body is one side. The hot room, the locked window and the empty street are the other, and a working air conditioner was the clearest help on that side. A life could have been saved on either side. One woman, met at twenty-five in the first section, carries that split through all four parts of this series. The first thing to settle is why the usual plan for the gap barely moves it.</p>
<h2 id="delay-done-whole">Delay, Done Whole</h2>
<p>In 1990, three researchers asked what would happen to American life expectancy if cancer disappeared overnight. S. Jay Olshansky and his colleagues did the arithmetic. Life expectancy at birth would rise by a little over three years.</p>
<p>Three years sounds small for a cure that has never existed. The reason is that every person faces several causes of death at once, and only one of them can come first. A person spared cancer dies of heart failure or a stroke, a little later, sometimes after the same slow years of decline.</p>
<p>Causes that compete work like a roof with four leaks. Patch the biggest one, and the rain still comes in through the other three. The floor still rots, only a little later. The comparison stops at one point: leaks are separate holes, and diseases are not. They share causes.</p>
<p>Olshansky&rsquo;s arithmetic leans on the opposite assumption: that the causes of death are independent, so removing one leaves the others as they were. In 1975, the statistician Anastasios Tsiatis showed that this assumption cannot be checked from deaths alone. For any set of causes that share roots, a set of independent causes exists that leaves an identical record of who died of what, and when. Deaths make poor witnesses: each one is counted under a single cause and keeps quiet about the rest. A table of causes of death cannot tell four separate holes from one rotting beam.</p>
<p>That point is where the gap becomes my problem as a statistician. For a classically trained statistician, one of the quintessential questions is how to model dependence: among variables, in networks, across processes over time. Books like Martin Crowder&rsquo;s <em>Multivariate Survival Analysis and Competing Risks</em> teach the analysis side. What I want to know is what data could do what deaths cannot. Which measures, taken while people are still well, would show the shared causes before any single disease gets its name? So the question has to move from how people die to what can be measured while they are still living.</p>
<p>An earlier essay gave <a href="/essays/twenty_three_cats/#what-a-system-is">five definitions of a system</a>. Russell Ackoff&rsquo;s fits a body best: &ldquo;a system is a whole that cannot be divided into independent parts.&rdquo; In grade school, the body arrived as a list of systems, and the tests asked about the parts: the four chambers of the heart, the road from mouth to colon. The immune system turns out to be <a href="/essays/a_second_hand_on_the_dial/#what-keeps-the-door-shut">a system in the full sense</a>. The gut does its work with <a href="/essays/nothing_grows_alone/#what-the-body-keeps-in-check">help from bacteria</a> that appear on no chart of the organs. A body is a system of systems, each one changing the others.</p>
<p>Medicine gets better at the parts every year. About two in three people on Medicare, the US health plan that covers most people over 65, live with more than one chronic condition. Each condition comes with its own specialist and its own best drug. Doctors have a name for what can happen next. A side effect of one drug gets mistaken for a new disease, and a second drug is prescribed to treat it. They call it a prescribing cascade. Every prescription is correct for the organ in front of the doctor who wrote it. The person filling the weekly pill organizer, seven little plastic doors snapping shut, is worse off. Making each part better does not have to make the whole better.</p>
<p>Whoever fills a parent&rsquo;s pill organizer can look for a prescribing cascade. The cue is the intake form at the next checkup, one condition to a line. Does anyone in the room add the lines up? The thing to count is the doctors&rsquo; names seen in a year. The question for the pharmacist: could this new pill be treating a side effect of that one? An earlier essay quoted <a href="/essays/twenty_three_cats/#what-a-system-is">the first of Peter Senge&rsquo;s laws</a>: &ldquo;Today&rsquo;s problems come from yesterday&rsquo;s &lsquo;solutions.&rsquo;&rdquo; Not every problem starts as a fix, but a cascade does. So did the locked windows in Chicago: a fix against burglars that kept the heat in.</p>
<p>Picture a woman of twenty-five. Her periods come every two or three months, then not at all, along with acne and hair where she does not want it. A gynecologist puts her on the pill. A dermatologist treats her skin. A third doctor weighs her, reads 27 on the body mass index chart, and tells her to lose weight. Each does the job well, the way each expert in Chicago did, and none of them names the one condition behind all three complaints: polycystic ovary syndrome, PCOS. Nearly half of women with PCOS see three or more health professionals before anyone names it. A third wait more than two years. Up to seven in ten have never been diagnosed. The name a problem gets says more about who is looking than about the problem.</p>
<p>The years before the name count as morbidity: having a disease or a symptom of one, before anyone has written the disease down. The gap is widest for her: women spend about a quarter more of their lives in poor health than men do. On podcasts, I have heard women with PCOS talk about what that wait did to their mental health. When the name comes, it comes with a prescription for metformin, a diabetes drug, because PCOS makes the body resist its own insulin. At twenty-five she takes the metformin for her periods.</p>
<p>Much of what makes the late years hard never becomes a diagnosis at all: the slow loss of muscle, the tiredness, the hearing that fades at a loud dinner table. A list of diseases has nowhere to put them. They belong to what the organs share. The physician Peter Attia puts four diseases on one list because of what they share. He calls them the Four Horsemen: heart disease, cancer, Alzheimer&rsquo;s and its relatives, and type 2 diabetes. He writes that &ldquo;the odds are overwhelming&rdquo; that one of the four is what a person dies of, and he builds his case for a longer life on delaying them.</p>
<p>The delay has to beat death to count. Push a first heart attack back five years while death moves back just as far, and a person gains five healthy years. The sick stretch at the end stays just as long. In 1980, the physician James Fries named the better outcome the compression of morbidity. It squeezes the sick years into a short stretch at the very end, the way a spring gets pressed into a smaller space (Figure 2).</p>
<figure class="definition" id="def-healthspan" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">healthspan, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;healthspan is the period of life spent in good health, free from the chronic diseases and disabilities of aging&rdquo;</p>
      <figcaption class="definition-by">Matt Kaeberlein, <a href="https://pmc.ncbi.nlm.nih.gov/articles/PMC6136295/"><em>GeroScience</em></a>, 2018</figcaption>
    </div>
  </div>
</figure>

<figure class="definition" id="def-compression-of-morbidity" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">compression of morbidity, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;The Compression of Morbidity hypothesis—positing that the age of onset of chronic illness may be postponed more than the age at death and squeezing most of the morbidity in life into a shorter period with less lifetime disability—was introduced by our group in 1980.&rdquo;</p>
      <figcaption class="definition-by">James Fries, Bonnie Bruce and Eliza Chakravarty (the 1980 idea is Fries&#39;s), <a href="https://doi.org/10.4061/2011/261702"><em>Journal of Aging Research</em></a>, 2011</figcaption>
    </div>
  </div>
</figure>

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  <div class="hse-wrap">
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      <span><span class="hse-swatch" style="background:var(--hse-extended)"></span>Extended Healthspan</span>
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        <p class="hse-stat-value" id="hse-stat-typical"></p>
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<p><em>Figure 2.</em> Delay against compression, on two made-up lives. Drag either curve: a decline squeezed into a short stretch at the end adds healthy years, while a curve that only slides later carries the same sick stretch with it. The curves are hand-drawn, not fit to data. Drawn for this site.</p>
<p>Healthspan is a person&rsquo;s. The gap in my rerun is a country&rsquo;s, built from healthy life expectancy. That is the years a newborn could expect to live in full health if today&rsquo;s death rates and rates of poor health held for its whole life. The World Health Organization builds it by Sullivan&rsquo;s method, the made-up group above. Lifespan, at that level, is plain life expectancy, that table without the health column. A country&rsquo;s gap can narrow by compression or by delay, and the table cannot tell which.</p>
<p>Delay aimed at one disease at a time runs into the leaking roof. Attia argues that metabolic trouble feeds the other three. In his account, insulin that stops working well, fat packed around the organs, and the low, steady inflammation they bring all raise the risk of more than one Horseman. The four diseases work like four branches of one tree. Prune one branch, and the other three keep growing. Starve the root, and all four thin at once. The comparison stops here too: a tree has one root, and the four diseases share several, some still unnamed.</p>
<p>No trial has shown, in people, that a treatment aimed at what the four share squeezes the sick years shorter, rather than only sliding them later. Part of the reason is what trials count. A trial that stops at a first heart attack or a death never sees the sick stretch at all. Telling compression from delay means following people for years and counting the healthy years and the sick ones separately. The two counts can move apart: more life with the same sick years, or the same life with fewer. I want to know how to design a study that can tell compression from delay well before its subjects die. Deaths will not say. Only the living can show which.</p>
<h2 id="what-the-body-can-do">What the Body Can Do</h2>
<p>Two bags of groceries, carried up one flight in a single trip. A chair stood up from without a hand on the armrest. A name found in the crowd at a loud dinner. These are what a body does on its own, and in 2015 the World Health Organization gave the sum of them a name: intrinsic capacity. The WHO splits it five ways: moving, energy, thinking, mood, and the senses.</p>
<figure class="definition" id="def-intrinsic-capacity" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">intrinsic capacity, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;The composite of all the physical and mental capacities that an individual can draw on.&rdquo;</p>
      <figcaption class="definition-by">World Health Organization, <a href="https://www.who.int/publications/i/item/9789241565042"><em>World Report on Ageing and Health</em></a>, 2015</figcaption>
    </div>
  </div>
</figure>

<p>Capacity is what a body could do. What a person actually does on an ordinary Tuesday, the WHO calls functional ability, &ldquo;the capabilities that enable all people to be and do what they have reason to value.&rdquo; It comes from capacity meeting surroundings. At twenty-five, the woman from the first section can draw on her full capacity: the stairs, the chair, the dinner table. The insulin resistance behind her diagnosis does not yet show in anything she does.</p>
<p>That gives the healthspan question its first branch. One way to gain a healthy year is to slow the decline of what a body and mind can do alone (Q1, Figure 3). The other way starts outside the body, and the figure shows both.</p>
<div style="max-width:980px;margin:2.4rem auto;padding:1.6rem 1.5rem 1.4rem;background:#14161b;border:1px solid #2b303a;border-radius:14px;color:#e7eaef;font-family:'Source Serif 4',Georgia,serif;line-height:1.5">
<p style="font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-size:.6rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:.9rem 0 .35rem">The question</p>
<div style="display:grid;grid-template-columns:repeat(2,1fr);gap:10px;align-items:stretch"><div style="grid-column:1/3;background:linear-gradient(90deg,rgba(245,196,81,.16),rgba(246,141,49,.16));border:1px solid rgba(242,115,44,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:1.02rem;line-height:1.45;font-weight:600;text-align:center;display:flex;align-items:center;justify-content:flex-start;flex-direction:column;"><span style="display:inline-block;align-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.25rem;line-height:1;letter-spacing:.04em;color:#14161b;background:linear-gradient(90deg,#f5c451,#f68d31);padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q0</span>How do we compress morbidity so that the healthspan-lifespan gap narrows rather than simply shifting later?</div></div>
<p style="font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-size:.6rem;letter-spacing:.14em;text-transform:uppercase;color:#727a86;margin:.9rem 0 .35rem">Functional ability: capacity and environment</p>
<div style="display:grid;grid-template-columns:repeat(2,1fr);gap:10px;align-items:stretch"><div style="grid-column:1/2;background:rgba(245,196,81,.10);border:1px solid rgba(245,196,81,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.95rem;line-height:1.45;font-weight:600;text-align:center;display:flex;align-items:center;justify-content:flex-start;flex-direction:column;"><span style="display:inline-block;align-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f5c451;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q1</span>How do we attenuate the age-related decline in intrinsic capacity across its trajectory?</div><div style="grid-column:2/3;background:rgba(246,141,49,.10);border:1px solid rgba(246,141,49,.55);border-radius:10px;padding:.7rem .85rem;font-family:'Source Serif 4',Georgia,serif;font-style:italic;font-size:.95rem;line-height:1.45;font-weight:600;text-align:center;display:flex;align-items:center;justify-content:flex-start;flex-direction:column;"><span style="display:inline-block;align-self:center;font-family:'IBM Plex Mono',ui-monospace,Menlo,monospace;font-style:normal;font-weight:800;font-size:1.1rem;line-height:1;letter-spacing:.04em;color:#14161b;background:#f68d31;padding:.32rem .62rem;border-radius:7px;margin-bottom:.55rem">Q2</span>How do we restore person-environment fit, bringing environmental press back in line with competence?</div></div>
<div style="margin-top:1.6rem;padding-top:1rem;border-top:1px solid #2b303a;color:#9aa2ae;font-size:.84rem;line-height:1.55;max-width:68ch"><i>Figure 3.</i> The healthspan question (Q0), split once into two branches (Q1, Q2), in the field's own terms. Environmental press is what the surroundings demand, and competence is what a person can do. Drawn for this piece; the two branches follow the World Health Organization (2015) and Lawton and Nahemow (1973).</div>
</div>
<p>The body&rsquo;s side is the one medicine already works on, and the one the tree&rsquo;s root belongs to. Strong legs at eighty are part of the root. The thing to look for, in a parent or in oneself, is the task that now takes two tries. The shopping that used to come up in one trip now comes up in two. The chair needs a hand. The cue is the weekly shop, something the reader may be carrying up the stairs right now. Counting the trips is a first measure of capacity, taken years before any diagnosis. Four flights up with no elevator, though, even strong legs may not carry a person to the street.</p>
<h2 id="opening-the-window">Opening the Window</h2>
<p>Two women have equally weak legs. One lives in a ground-floor flat next to a bus stop and runs her own errands. The other lives four flights up with no elevator and has not been outside in a month.</p>
<p>The two women have the same capacity and very different Tuesdays. No test of their cells could tell them apart: <a href="/essays/what_the_jelly_changed/#how-far-the-map-reaches">even a map of every layer inside a body stops at its edge</a>, where the organism meets the world around it. The psychologists M. Powell Lawton and Lucille Nahemow drew that edge in 1973. They called what the surroundings demand of a person environmental press. What the person brings to meet it, they called competence: health, functioning, and the people and means they can call on. When the two match, a person lives comfortably and does what they set out to do. They called the match person-environment fit.</p>
<figure class="definition" id="def-environmental-press" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">environmental press, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;The environment around an individual creates demands or strains, also referred to as environmental press.&rdquo;</p>
      <figcaption class="definition-by">Thomas Buckley, describing Lawton and Nahemow (1973), <a href="https://doi.org/10.3390/ijerph19148395"><em>International Journal of Environmental Research and Public Health</em></a> 19, 2022</figcaption>
    </div>
  </div>
</figure>

<figure class="definition" id="def-person-environment-fit" style="--g0: var(--s0); --g1: var(--s1);">
  <div class="definition-head">
    <span class="definition-term">person-environment fit, <em>n.</em></span>
  </div>
  <div class="definition-body">
    <div>
      <p class="definition-text">&ldquo;According to Lawton and Nahemow&rsquo;s ecological theory of aging (ETA), the performance of and comfort with daily necessary and desired activities is possible when an appropriate match between a person and his/her environment is achieved. This match, or zone of maximum performance and comfort, is known as person-environment (P-E) fit.&rdquo;</p>
      <figcaption class="definition-by">Laura Lien, Carmen Steggell and Susanne Iwarsson, describing Lawton and Nahemow (1973), <a href="https://doi.org/10.3390/ijerph120911954"><em>International Journal of Environmental Research and Public Health</em></a> 12, 2015</figcaption>
    </div>
  </div>
</figure>

<p>The fit works like a window. Glass separates two sides, and the light that gets through depends on both. So the other way to gain a healthy year is to shrink the mismatch between what a person can do and what their surroundings demand (Q2). That means lowering the press until it meets the competence a person still has. Four flights of stairs is press. A bus stop moved two blocks away is press. An air conditioner in a window in July is press lowered by a machine.</p>
<p>Chicago had both sides at once. The CDC study found that the dead were more often ill, the body&rsquo;s side. It also found they were more often alone and rarely went out, and that a working air conditioner went with lower odds of dying, the surroundings&rsquo; side. Families and neighbors answered for the dead, so those answers are secondhand. Klinenberg&rsquo;s two neighborhoods point the same way, though a comparison of two places cannot prove the street saved anyone.</p>
<p>An earlier essay gave the statistician&rsquo;s name for an effect of one variable that depends on the level of another: <a href="/essays/twenty_three_cats/#where-they-meet">an interaction effect</a>. The two sides of the glass interact. Weak legs cost one woman nothing and cost the other her whole street. In Chicago, the heat did its worst to people who were already ill and alone. Interactions are the part of this question I care about most, and the hardest to study. A study built to find one effect at a time can miss them. In the simplest design, pinning down an interaction as precisely as a single effect of the same size takes about four times as many people. So the two branches of the question cannot be answered one at a time either.</p>
<p>The surroundings&rsquo; side is easy to miss on a visit to a parent&rsquo;s home, because it looks like furniture. The cue is the front door. Standing there, a visitor can count the steps between bed and bathroom and the flights between the door and the street. Then the question: which errand stopped this year, and did the body stop it or the building? A heavy door, a dark stairwell, a window painted shut: each one raises the press without touching a single organ. The decision at the end of that count is a plain one, to move the bed downstairs or to change the stairs.</p>
<p>Both sides of the glass can change. In 1995, Chicago met the heat with a plan on paper and five cooling centers. Few of the people who needed them came, and the warning went out late. After the dead were counted, the city rebuilt the plan around the surroundings&rsquo; side: more cooling centers, and daily contact with older residents who lived alone. City workers and volunteers called and knocked on doors. The heat came back four years later, and <a href="/essays/the_handle_came_off_late/">the third part of this series</a> tells how the new plan did.</p>
<p>Ackoff drew a line between solving a problem and dissolving it. Solving finds the best answer to the problem as it was asked: a drug that pushes back a first heart attack. Dissolving changes the system around the problem until the problem has less room to happen. A knock on the door cures no one&rsquo;s heart. It makes a locked window less likely to stay locked unnoticed.</p>
<p>&ldquo;Nobody owns a problem,&rdquo; Ackoff said. Closing the gap looks like a job for medicine. Half of that job belongs as much to architects, city planners, landlords, neighbors and the people who write insurance rules. Each side is still too big for one study. The next step is deciding who to compare and what to measure. <a href="/essays/broad_street_pneumonia/">The second part of this series</a> takes it in Philadelphia in 1976, where one choice of comparison solved the case and another had hidden it. The woman of twenty-five goes with it, carrying her metformin: the same cheap pill a trial was designed to test against aging itself.</p>
<blockquote>
<p><strong>A Closing Invitation</strong>. <em>The locked window in Chicago stood for the sick years themselves: made where a body meets its surroundings, and owned by no one. The gap closes when those years shrink, not when they move later and not one disease at a time: a healthy year is gained by raising what the body can do or lowering what the world asks, and only the living can show which.</em></p>
<ol>
<li><em>Before you get up, picture the windows where someone older you love lives. Does one open with one hand, or is it painted shut? Is it locked at night, and for what fear? Which answers would you have to go and look for?</em></li>
<li><em>This week, write two numbers on one line, for yourself or someone you love: the years lived, and the years since the first symptom that lasted, such as a knee that never healed or blood pressure that stayed high. What share of the first is the second, and has any doctor ever written both?</em></li>
<li><em>This Saturday, carry the groceries in from the car or the bus stop in one trip, the way you would want to at eighty. Which bag went down first on the stairs, which muscle gave out, and could a parent or an older friend you love make the same trip?</em></li>
</ol>
<p><em>In July 1995, the windows stayed shut, and no one outside knew it was their job to knock. A window opens from either side: a hand on the latch, or a knuckle on the door.</em></p></blockquote>
<h2 id="where-this-came-from">Where This Came From</h2>
<p>The piece started from a question my GapYears rerun left open: if the gap is real, who is supposed to close it? It is the gap my <a href="/research/#research-statement">research statement</a> is aimed at narrowing. Klinenberg called his book on the heat wave a &ldquo;social autopsy,&rdquo; an autopsy done on a city instead of a body, and the phrase is the seed of this series.</p>
<p><strong>Intellectual Honesty Note.</strong> The woman of twenty-five and the two women with equally weak legs are hypotheticals; she is invented, and she carries the reader&rsquo;s stakes through all four parts. &ldquo;The killer was the four of them together&rdquo; is this piece&rsquo;s reading, not any one study&rsquo;s finding. &ldquo;Answerable&rdquo; is the series&rsquo; own premise, not a sourced definition. The 9.3 and twelve and a half years are my GapYears rerun of WHO data for 2021.</p>
<p>The PCOS wait and the three professionals come from a survey of 1,385 women recruited through support-group websites, so the sample is self-selected. &ldquo;Up to seven in ten&rdquo; is a WHO fact-sheet figure, and the quarter more of life in poor health is a World Economic Forum and McKinsey report, not a peer-reviewed study. The podcasts are my own listening, not a study. The medical examiner&rsquo;s final count was 485; the CDC&rsquo;s figure shows the 465 certified by July 27. Klinenberg&rsquo;s 19 and 3 are counts, not rates. The air-conditioner odds come from a model that adjusts for the other risk factors. Other accounts give the 1995 cooling centers as eleven, not five. The roof and the tree are simplifications.</p>
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