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Assume that the correlations of birth weight and current weight with blood pressure are r1 and r2 respectively, while the birth weight vs current weight correlation is r12 . In the z-score regression of blood pressure on birth weight, the unadjusted birth weight coefficient is equal to the correlation r1 , while adjusted for current weight the birth weight coefficient is 1  (r1  r2r12 ) / (1 r12 2 ) .

american journal of epidemiology

RE: “WHY EVIDENCE FOR THE FETAL ORIGINS OF ADULT DISEASE MIGHT BE A STATISTICAL ARTIFACT: THE ‘REVERSAL PARADOX’ FOR THE RELATION BETWEEN BIRTH WEIGHT AND BLOOD PRESSURE IN LATER LIFE”