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US Marriage Rate vs US Military Expenditure

US Marriage Rate and US Military Expenditure correlate at r = +0.57 over 62 years (1960–2022), p < 0.0001. With the time trend removed, r = -0.46. Direction flips without the trend.

Verdict: Direction flips without the trend. The raw correlation is 0.57, but once each series' time trend is removed it becomes -0.46. The year-to-year movements run the opposite way to the long-run trends, so the headline number is misleading.

Pearson r
+0.57
p-value
< 0.0001
Years compared (n)
62 (1960–2022)
95% confidence interval
0.37 to 0.72
Correlation with the time trend removed
-0.46

Sources

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Correlation does not imply causation. How the verdict is worked out.