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. Author manuscript; available in PMC: 2017 Sep 7.
Published in final edited form as: Biom J. 2016 Jan 29;58(5):1007–1020. doi: 10.1002/bimj.201500010

Table A.1.

Relative bias and RMSE of log-odds ratioa estimates evaluated from N = 400 individuals with exposures pooled in pairs, g = 2, matched on a primary outcome, O1, and pooled randomly on a secondary outcome, O2, at Q1 = 0.288 and Q3 = 1.39 of the healthy populationb.

a d α1 β1 Relative bias
RMSE
With O1c Without O1d With O1c Without O1d
0.7 0.7 1.5 0.5 logOR(Q1) = 1.249 0.026 0.018 0.352 0.306
logOR(Q3) = 0.772 0.013 0.047 0.156 0.156
0.9 0.9 1.5 0.5 logOR(Q1) = 1.249 0.024 0.024 0.304 0.294
logOR(Q3) = 0.772 0.015 0.040 0.132 0.135
0.2 0.9 1.5 0.5 logOR(Q1) = 1.249 0.080 0.077 0.521 0.473
logOR(Q3) = 0.772 0.043 0.036 0.189 0.140
a

logOR(x) is the log-odds ratio of O2 based on change in exposure, x.

b

Healthy population assumed gamma distribution with α0 = 1 and β0 = 1 for all simulations.

c

Estimators based on Eq. (5), ignoring O1 and using information on O2.

d

Estimators based on Eq. (A.3), which uses information on O1.