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. Author manuscript; available in PMC: 2017 Jul 20.
Published in final edited form as: Stat Med. 2016 Feb 11;35(16):2815–2830. doi: 10.1002/sim.6888

Table 2.

Parameter Estimation under Different Models and Scenarios for Genotyping Family Members of Deceased Cases.

Model Odds Ratioa γb Estimates (S.D.)
Mixed Child + Spouse Child Only
Log-additive for association and co-dominant for survival log(1) = 0 1 −0.002 (0.120) −0.004 (0.120) −0.005 (0.162)
0.7 −0.002 (0.140) −0.004 (0.132) −0.002 (0.175)
0.5 −0.004 (0.163) −0.002 (0.146) −0.009 (0.192)

0(Naive) −0.051 (0.130)

log(1.4) = 0.336 1 0.336 (0.113) 0.334 (0.113) 0.340 (0.147)
0.7 0.335 (0.131) 0.339 (0.124) 0.335 (0.158)
0.5 0.333 (0.151) 0.336 (0.136) 0.337 (0.172)

0(Naive) 0.286 (0.123)

log(1.8) = 0.588 1 0.588 (0.109) 0.589 (0.109) 0.589 (0.139)
0.7 0.583 (0.126) 0.588 (0.119) 0.587 (0.149)
0.5 0.585 (0.144) 0.585 (0.131) 0.583 (0.162)

0(Naive) 0.539 (0.120)

Dominant for both association and survival log(1) = 0 1 0.000 (0.143) 0.001 (0.143) 0.001 (0.193)
0.7 0.004 (0.169) −0.004 (0.159) 0.002 (0.210)
0.5 −0.002 (0.197) −0.003 (0.176) −0.001 (0.231)

0(Naive) −0.046 (0.148)

log(1.4) = 0.336 1 0.340 (0.143) 0.337 (0.143) 0.336 (0.188)
0.7 0.336 (0.168) 0.336 (0.158) 0.337 (0.204)
0.5 0.338 (0.195) 0.337 (0.176) 0.338 (0.224)

0(Naive) 0.291 (0.144)

log(1.8) = 0.588 1 0.590 (0.145) 0.590 (0.145) 0.591 (0.187)
0.7 0.589 (0.170) 0.592 (0.161) 0.589 (0.204)
0.5 0.592 (0.197) 0.594 (0.179) 0.586 (0.224)

0(Naive) 0.546 (0.143)
a

The odds ratio of association.

b

Recruiting probability for family members.

*

Sample size is 500 for cases and 500 for controls; ρ = 0.3, α0 = −2, and eα1 = 1.4 (with survival probabilities 0.62, 0.59 and 0.55 for each genotype.