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How to read this page

Everything here is an association between a body of literature and a population — counties, states, whole countries. None of it is a statement about any individual person's risk, and none of it should be read as advice to anyone about their own health. A country-level number that points the opposite way to the clinical literature is far more likely to be telling you something about how deaths get counted than about what happens inside a body.

The page sets out five findings in the order the analysis wrote them, then the three it would lead with, then the things it could not settle. Where the analysis hedged, the hedge is kept. Where it said a number was too small to trust on its own, that is said here too.

The source write-up states its own starting position: “All numbers below are recomputed independently from analysis/build/*.csv + scripts/pystats.py — not read off the report's own labels — using scripts in .scratch/ (gitignored, not part of the repo). Every claim states its n and control set.” The coefficients themselves, and how they were classified, are on What held up, and what did not.

The five claims this re-check tested

5 hypotheses

The re-check started from five standing claims about the correlation report and tried to break each one. All five survived as counts. Two did not survive as explanations: the count was right and the story attached to it was wrong.

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Verdict on the five standing hypotheses
# Hypothesis Verdict
1 29% (55/188) flip sign across control depths CONFIRMED exactly: 188 coefficients have two or more non-zero depths, 55 change sign somewhere in the sequence = 29.3%.
2 Diabetes has 4 different signs CONFIRMED but the mechanism is wrong as stated. There are two unrelated phenomena wearing the same label — see Finding 2 below.
3 3 risk factors “invert at country level AND survive controls” Directionally confirmed, “invert” is the wrong word. Diabetes, hypertension and air-pollution-% are negative at the raw, uncontrolled Pearson r already (-0.425, -0.319, -0.641). Controls don't invert them — they were never positive. See Finding 3.
4 5 coefficients have divergence_flag CONFIRMED exactly, and the report's own flags are correct: an independent |Pearson−Spearman|>0.25 scan returns the identical 5 records (KP‑20, KP‑21, KT‑1, KT‑2, LG‑1).
5 Strict controls (pct_checkup_annual, norc_ma_share_of_bene_2020) disproportionately kill prevalence CONFIRMED, with numbers — see Finding 1.

Finding 1 — Diagnosis intensity is not a caveat, it is the dominant force in the county data

Take the 86 county-level coefficients whose strict control set contains pct_checkup_annual and/or norc_ma_share_of_bene_2020, group them by outcome type, and measure how much of the raw correlation is left: 1 − |strict r| / |raw r|, using the median because a few near-zero raw-r denominators blow the mean up to absurd values.

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Median relative decay from raw to strict, by outcome type
Outcome n Median relative decay
prevalence (norc65_prevalence_rate_2020)5350%
“highly likely” prevalence tier1161%
pooled 2020-22 prevalence458%
incidence (norc65_incidence_rate_2020)1168%
dementia mortality among diagnosed (norc_dementia_mortality_rate_2020)721%

Every diagnosis-based outcome loses half or more of its raw signal once you control for who gets checked and who is on Medicare Advantage. The one outcome that is not itself a diagnosis rate — case mortality among the already-diagnosed — loses only a fifth.

The analysis states the limit on this itself: “Caveat I must state plainly: the death-rate bucket is n=7 — too small to trust the ratio on its own, but the direction is the same one the checkup/MA controls were built to test, and it's a >2x gap.”

Concretely, diabetes and hypertension county prevalence: raw +0.378 / +0.358, strict -0.011 / -0.011 (n=2,347, controls: pct_85plus, median_household_income, primary_care_physicians_per_100k, region_south, population_density_per_sqmi, pct_black, norc_ma_share_of_bene_2020, pct_checkup_annual). The registry is largely measuring who gets diagnosed, exactly as hypothesized — this is the strongest, most reproducible finding in the set.

Finding 2 — “Diabetes has 4 signs” is actually two unrelated stories

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The same exposure label, five coefficients, three mechanisms
Level / outcome n Raw r Strict r Mechanism
state prevalence (SP-7) 51+0.557 (p=3e-5)+0.174 decays but doesn't flip — diagnosis-intensity control set
county incidence (CI-5) 2,347+0.403+0.049 decays 88%, doesn't flip — same mechanism
county prevalence (CX-26) 2,347+0.378-0.011 flips — diagnosis-intensity control set
state death rate (SM-10) 50+0.235 (p=0.10, not significant)-0.069 flips at primary, driven by controlling for ts_dementia_deaths_pct_g30_2017 (the G30-vs-F03 coding share)
country death rate (KP-7) 190-0.425 (p=1e-9)-0.233 negative from the raw statistic itself, unrelated to diagnosis intensity

The county and state prevalence-and-incidence signs are all one mechanism (diagnosis-intensity contamination, Finding 1). The state death-rate flip is a different mechanism (the G30 coding-share control, matching the earlier finding that state Alzheimer's death rates are a coding artefact). The country death-rate negative is a third, independent phenomenon (Finding 3) — it is not induced by any control at all. “4 signs” is true as a count but implies one story; there are three.

Finding 3 — The three country-level contradictions are real, not outlier artefacts, and not equally strong

3 exposures

Three country-level results point the opposite way to the clinical literature: higher national diabetes, hypertension and air-pollution exposure go with lower dementia death rates after controls. The first question is whether a handful of unusual countries is doing the work. It is not.

The outlier test

Leave-one-country-out (n≈185-190, strict controls pct_65plus, gdp_per_capita_usd, life_expectancy): dropping the 5 most influential countries for each of diabetes, hypertension and air-pollution-% makes the coefficient stronger, not weaker.

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Dropping the five most influential countries per exposure
Exposure Full strict r r after dropping top-5 influential countries Reverses?
diabetes (KP-7)-0.233-0.251No
hypertension (KP-9)-0.361-0.423No
air pollution % exposed (KP-14)-0.429-0.511No

The most-influential countries were unremarkable — UK, Finland, Spain, US, Peru, Korea, Singapore, Estonia, Brunei — with no small-population extreme outliers doing the work. In the analysis's words, this “rules out the ‘3-5 countries’ escape hatch.” These reversals are structural, not leverage.

Weighed against the literature they contradict

Ruling out leverage does not make the three equally interesting. Joining each exposure to the prevention cards in the study library, and those to their citation records, gives a count of how much individual-level research each ecological result is standing against. RCR is the relative citation ratio of the studies featured — a citation-rate measure, not a quality score.

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Each contradiction against the literature it opposes
Exposure Ecological r (raw / strict) Individual-level studies in this library Mean RCR of featured studies Verdict
Diabetes -0.425 / -0.2331385.17 contradicts a large, well-established literature (e.g. “Type 2 Diabetes as a Risk Factor for Dementia... Pooled Analysis of 2.3 Million People,” RR 1.58-1.62; metformin meta-analysis, n=3.46M)
Hypertension -0.319 / -0.361113 9.69 (highest-cited of the three) contradicts an even more highly-cited literature (blood-pressure-lowering RCT meta-analyses in JAMA, European Heart Journal)
Air pollution % exposed -0.641 / -0.429 (largest ecological effect of the three) only 610.84 the biggest number, but the thinnest individual-level backing this library holds — flag as a weaker contradiction despite the bigger effect size

The ranking

Ranked by the literature weight it opposes: hypertension ≈ diabetes >> air pollution — even though air pollution has by far the largest raw and strict coefficients.

The analysis names this as the one cell it would lead with: “a country-level ecological correlation that robustly (outlier-tested) says higher hypertension and diabetes prevalence goes with lower age/GDP/life-expectancy-adjusted dementia death rates, standing against 113-138 individual-level studies including RCT meta-analyses.”

And it immediately names the competing explanation, which it cannot rule out: “The most likely alternative explanation, per the country level's own documented caveat, is that dementia_deaths_per_100k_age_std is crude, not age-standardized (its own metadata admits this) and death-certification completeness tracks GDP — so this is very plausibly ‘richer countries certify Alzheimer's deaths better and have higher metabolic-disease prevalence,’ a competing-cause/ certification artefact riding on the same GDP axis, not a real biological reversal. I cannot rule that out with what's in this data; the strict control on GDP + life expectancy narrows but does not eliminate it.”

Finding 4 — No single control is “the one that decides it”

For the 18 coefficients whose sign flips specifically between partial_primary and partial_strict — a stricter test than the 55/188 above — each strict-only control was added to the primary set on its own, and each strict control was removed from the full strict set on its own. The tally below counts how often removing that one control flips the sign back to the primary sign.

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Removal-trigger tally across 18 sign-flipping coefficients
Control Times it single-handedly restored the primary sign
region_south7
pct_black / pct_race_black5 + 1
median_household_income5
norc_ma_share_of_bene_20204
primary_care_physicians_per_100k2
pct_65plus2
everything else1 each

The analysis flags this result as contradicting its own premise: the diagnosis-intensity variables (pct_checkup_annual, norc_ma_share_of_bene_2020) were the a priori suspicion. “They matter, but region (South) and race composition (pct_black) are named more often as the single control whose removal alone restores the original sign.”

Concretely, for diabetes and hypertension county prevalence (CX-26, CX-28), removing median_household_income, region_south or pct_black individually each independently restores the raw positive sign — but no single addition to the primary set flips it alone. The flip is a joint effect of the whole strict bundle, not one control's doing. That names the two candidate confounds as load-bearing, and it also means there is no clean single culprit to control for and then stop worrying about the rest.

Finding 5 — Rank versus linear: the report's 5 flags are right, and each has a different shape

Recomputing |Pearson − Spearman| independently for all 233 records reproduces the report's exact 5 divergence_flag cases (KP-20, KP-21, KT-1, KT-2, LG-1) — no more, no fewer. Two are worth a closer look.

KT-2 — GDP per capita against the 2000-2021 change in country dementia death rates

n=142. Pearson r=0.067 (p=0.43, null) but Spearman rho=0.559 (p=5e-13, strong). Trimming the extreme 5% of GDP (Monaco $288k, Luxembourg $147k, Ireland $132k at one end; Burundi/Afghanistan/CAR under $600 at the other) only partially recovers it (r rises to 0.156, still far short of 0.559). This is not an outlier artefact — GDP per capita is intrinsically right-skewed, and the relationship is monotonic but log-shaped, which a linear Pearson genuinely cannot see. A rank statistic is the only reason this relationship is visible at all in this dataset.

LG-1 — allele frequency against effect size, genetics

log10_allele_frequency vs abs_log_or, n=90. Pearson -0.092 (null) vs Spearman -0.426 (p=3e-5, strong). Trimming the tails makes it worse (-0.023), so this is not tail-driven either — it is the well-known GWAS pattern where a few rare variants (TREM2, log10 freq ≈ -2.7) carry large effect sizes while many common variants (CD33, ADAM10) carry small ones. That is a real, biologically expected rank relationship that a straight line across allele frequencies was never going to capture.

A sixth case, below the flag threshold

Not one of the official 5, but real: hypertension at country level (KP-9) is significant by Pearson (p=7e-6) but not by Spearman (p=0.097) — a gap of 0.20, under the 0.25 flag threshold but still a case where the two tests disagree on whether there is anything there at all. Worth a footnote, not a headline.

The honest global picture

233 coefficients

Median |r| by control depth across all 233 coefficients. n shrinks as controls are added and rows drop to pairwise-complete.

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How much of the typical coefficient survives each depth
Depth n Median |r|
raw Pearson2330.260
partial (primary)1880.157
partial (extended)1640.126
partial (strict)1520.113

The typical ecological correlation in this dataset starts modest (median |r|=0.26) and loses more than half its magnitude by the strict tier. There is a signal left — it does not go to zero — but “typical” after strict controls is a coefficient of about 0.11, which is small by any convention.

The small set that is both strong (|strict r| at or above 0.30) and stable (moved least from raw to strict):

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Strong and stable: the coefficients that barely move under strict controls
ID Pair Raw r Strict r |Δ| n Controls
SP-20 Medicare FFS $/capita → state NORC65 prevalence 0.4270.3920.03651 income, 85+, South, race
KP-9 hypertension → country death rate -0.319-0.3610.043189 65+, GDP, life exp.
SP-21 nursing-home beds/1000 → state prevalence 0.4770.4130.06451 income, 85+, South, FFS $, race
SM-14 hearing loss → state death rate 0.4330.3470.08551 income, G30 share, South, race

Note that hypertension's country-level contradiction (Finding 3) is also one of the most stable coefficients in the entire dataset — it does not just survive strict controls, it barely moves and actually strengthens slightly. That is part of why it is ranked above air pollution despite air pollution's larger raw number: hypertension is both more heavily contradicted (113 studies) and more stable under controls.

The three findings to lead with

ranked by surprise × robustness
  1. Country-level hypertension and diabetes prevalence are negatively associated with (crude) dementia death rates after age/GDP/life-expectancy controls (r=-0.36 and -0.23, n=189), robust to dropping the 5 most influential countries, standing against 113-138 individual-level studies including RCT meta-analyses. Test: partial correlation + leave-one-country-out. Most likely alternative explanation: the outcome variable is a crude death rate, not age-standardized (confirmed from its own metadata) — richer/higher-life-expectancy countries both certify Alzheimer's deaths more completely and have higher metabolic-disease prevalence, so GDP-linked certification quality is a live confound that 3 country-level controls narrow but can't rule out.
  2. No single control drives the county/state sign flips — it is the combination. Test: leave-one-out addition/removal on the exact nested control lists in the report. Region-South and race composition are named more often (7 and 5-6 times respectively) than the diagnosis-intensity variables expected going in. Alternative explanation: this could reflect genuine regional health-system differences rather than confounding — the data cannot distinguish “South is a confound” from “South is itself a real, unmeasured causal pathway.”
  3. Diagnosis-based county outcomes lose 50-68% of their raw signal under strict controls; the one non-diagnosis outcome loses 21%. Test: relative decay grouped by outcome type. Alternative explanation and caveat: the death-rate comparison group is n=7, too small to be a stable ratio on its own — the direction is consistent with everything else in this dataset (including the earlier finding that counties with more 65+/85+ residents have lower diagnosed prevalence), but the analysis would not publish the specific 21% number without a larger death-rate n.

What this analysis could not determine

3 limits

This list is part of the result, not a disclaimer attached to it. Each item is a question this analysis cannot settle, for the reason given. It is reproduced word for word from the write-up, including its file and column names, because paraphrasing a limit is how a limit gets lost. Anyone quoting a number from the tables above should read this first.

  • Whether the country-level metabolic-risk reversals are a real biological/ecological effect or a certification-quality artefact riding on GDP — the data cannot distinguish these with the controls available (no direct measure of death-certification completeness by country exists in this dataset, per the report's own `cannot_answer` list).
  • A qualitative "shape" description (threshold vs. curved vs. outlier) for all 5 divergence cases beyond KT-2 and LG-1 — I checked those two in depth (trimming test); KP-20, KP-21 and KT-1 were not individually re-examined beyond the numbers, for time.
  • Whether region-South's dominance as a flip-trigger reflects a real causal pathway or an unmeasured confound (health-system financing, historical under-diagnosis, race-adjusted reporting practice) — the data names the variable but not the mechanism.

Places are not people, and neither are literatures

Every coefficient on this page is a correlation between places: counties, states or countries. The contradictions ranked above are contradictions between a place-level number and a body of published research on individuals. They are not evidence that high blood pressure or diabetes protects anyone from dementia, and nothing here should change what anyone does about their own health. The analysis's own reading is that the country-level result is very plausibly a death-certification artefact riding on national income, and that it cannot be told apart from a real effect with the data available.

Two further things limit what any of these numbers can mean. The county and state outcome is diagnosed dementia in Medicare claims, which is why diagnosis intensity dominates Finding 1: a place that diagnoses well and a place with more disease produce the same number. And the country outcome column is a crude rate despite its name, so country comparisons carry age structure inside them.

The coefficients themselves and how they were classified are on What held up, and what did not. If you want evidence about a person rather than a place, the individual-level study evidence is on What the research found, and the risk factors with the best individual-level support are ranked on Risk factors, ranked.

Provenance

Analysis
What's analytically interesting in the alzhub correlation data
Written
2026-09-28
Coefficients re-checked
233
Source file
data/deep_dive/deep_dive_findings_20260928.md (15 KB)

The figures on this page are transcribed from that file and from nowhere else; the “could not determine” list is read out of it when the page loads. Nothing here was re-rounded or reinterpreted.