Table 4: Conditional Logistic Regression Simulation (see Fay, et al, 1998, Biometrics, 195-208 for details) Design A has K=20 clusters, reasonably balanced design Design D has K=40 clusters, unbalanced design Case 1 are fixed effects on the parameter Case 4 are random effects on the parameter a1=Design A Case 1 a4=Design A Case 4 d1=Design D Case 1 d4=Design D Case 4 Va= substitue Ui with Hi * Ui in sandwich estimator of variance where H[i,,]<- diag( 1/sqrt( 1- pmin(.75,diag( omegaivm )))) a1=Design A Case 1 > print.sim(out$pa1, out$cia1) [1] "P-Values" Vm,Chi2 Vs,Chi2 Vs,F,K-p Vs,F,d.tilde.no.H Vs,F,d.hat.no.H Va,Chi2 0.049 0.098 0.078 0.072 0.042 0.086 Va,F,d.tilde.with.H Va,F,d.hat.with.H 0.066 0.033 [1] "Mean ci" Vm,Chi2 Vs,Chi2 Vs,F,K-p Vs,F,d.tilde.no.H Vs,F,d.hat.no.H Va,Chi2 0.5767361 0.5340287 0.5724353 0.5904502 0.681359 0.5538813 Va,F,d.tilde.with.H Va,F,d.hat.with.H 0.6127722 0.7081108 a1=Design A Case 4 > print.sim(out$pa4, out$cia4) [1] "P-Values" Vm,Chi2 Vs,Chi2 Vs,F,K-p Vs,F,d.tilde.no.H Vs,F,d.hat.no.H Va,Chi2 0.43 0.09 0.073 0.065 0.045 0.083 Va,F,d.tilde.with.H Va,F,d.hat.with.H 0.056 0.038 [1] "Mean ci" Vm,Chi2 Vs,Chi2 Vs,F,K-p Vs,F,d.tilde.no.H Vs,F,d.hat.no.H Va,Chi2 0.6006903 1.357997 1.455662 1.508951 1.739581 1.412758 Va,F,d.tilde.with.H Va,F,d.hat.with.H 1.571297 1.816731 d1=Design D Case 1 > print.sim(out$pd1, out$cid1) [1] "P-Values" Vm,Chi2 Vs,Chi2 Vs,F,K-p Vs,F,d.tilde.no.H Vs,F,d.hat.no.H Va,Chi2 0.027 0.252 0.245 0.047 0.044 0.191 Va,F,d.tilde.with.H Va,F,d.hat.with.H 0.021 0.025 [1] "Mean ci" Vm,Chi2 Vs,Chi2 Vs,F,K-p Vs,F,d.tilde.no.H Vs,F,d.hat.no.H Va,Chi2 2.603684 1.85256 1.913459 4.452262 5.350831 2.297222 Va,F,d.tilde.with.H Va,F,d.hat.with.H 5.767964 6.915468 d4=Design D Case 4 > print.sim(out$pd4, out$cid4) [1] "P-Values" Vm,Chi2 Vs,Chi2 Vs,F,K-p Vs,F,d.tilde.no.H Vs,F,d.hat.no.H Va,Chi2 0.345 0.253 0.248 0.038 0.054 0.181 Va,F,d.tilde.with.H Va,F,d.hat.with.H 0.019 0.03 [1] "Mean ci" Vm,Chi2 Vs,Chi2 Vs,F,K-p Vs,F,d.tilde.no.H Vs,F,d.hat.no.H Va,Chi2 2.799696 4.019863 4.152008 10.19319 11.99907 5.065839 Va,F,d.tilde.with.H Va,F,d.hat.with.H 13.7864 16.32504