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. Author manuscript; available in PMC: 2011 Dec 1.
Published in final edited form as: Biometrics. 2010 Dec;66(4):1024–1033. doi: 10.1111/j.1541-0420.2010.01393.x

Table 2.

Relative efficiencies for estimates under a gene-environment interaction model, logit(Pr(D = 1∣G,E)) = β0 + β1G + β2E + β3G × E.

Design ORG = 1.5 ORE = 2 ORG×E = 3
p = 0.1, β0 = -3
CC-Family 0.521 0.484 0.706
AF-Family 0.462 0.469 0.525
HR-Family 0.670 0.788 1.076
Combined 0.686 0.614 0.905
p = 0.1, β0 = -2
CC-Family 0.832 0.810 0.884
AF-Family 0.711 0.623 0.780
HR-Family 0.934 1.070 1.090
Combined 1.000 0.917 1.011
ORG = 10 ORE = 2 ORG×E = 15
p = 0.01, β0 = -3
CC-Family 1.467 0.507 1.809
AF-Family 1.551 0.323 2.628
HR-Family 1.487 0.884 2.619
Combined 1.731 0.663 2.478