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. Author manuscript; available in PMC: 2024 Jan 1.
Published in final edited form as: Biostat Epidemiol. 2018 Jul 26;7(1):1500089. doi: 10.1080/24709360.2018.1500089

Table 4.

Simulation results for the global odds model and proportional odds model

Simulation number
1 2 3 4 5 6 7 8
True parameters
    αG 0 1 2 0 1 2 0 1
    βG 0 0 0 1 1 1 2 2
    βY 2 2 2 2 2 2 2 2
    βZ 2 2 2 2 2 2 2 2
Bias
    GOM - βY 0.012 0.012 0.012 0.011 0.012 0.012 0.011 0.012
    GOM - βZ 0.009 0.005 0.003 0.01 0.003 0.004 0.008 0.005
    POM - βY 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012
    POM - βZ 0.009 0.005 0.002 0.009 0.003 0.004 0.008 0.005
    POMc - βY 0.012 −0.396 −0.702 −0.325 −0.62 −0.857 −0.559 −0.775
    POMc - βZ 0.01 −0.35 −0.603 −0.284 −0.534 −0.709 −0.479 −0.646
MSE
    GOM - βY 0.041 0.040 0.040 0.040 0.040 0.040 0.040 0.040
    GOM - βZ 0.036 0.036 0.037 0.035 0.036 0.036 0.035 0.035
    POM - βY 0.041 0.041 0.041 0.041 0.041 0.041 0.041 0.041
    POM - βZ 0.036 0.036 0.038 0.035 0.036 0.037 0.036 0.036
    POMc - βY 0.048 0.202 0.542 0.149 0.433 0.797 0.360 0.662
    POMc - βZ 0.041 0.164 0.410 0.120 0.331 0.556 0.273 0.471
Coverage (%)
    GOM - βY 95.4 94.6 94.4 95.8 95.0 95.6 95.4 95.6
    GOM - βZ 95.2 95.2 94.4 95.6 95.6 94.4 95.4 95.4
    POM - βY 95.2 95.2 95.2 95.2 95.2 95.2 95.2 95.2
    POM - βZ 94.8 93.6 94.6 95.4 93.8 93.2 95.4 94.8
    POMc - βY 95.0 53.0 13.2 64.8 22.2 6.2 28.0 10.4
    POMc - βZ 94.6 57.6 17.2 69.2 26.0 10.4 34.6 14.6

GOM = global odds model, POM = proportional odds model, POMc= Proportional odds model of Y controlling for Z or Z controlling for Y