N =50   N =100   Parameter  Naive MLE  MME  Naive MLE  MME  β0 = 0.00    1.65 (1.69)  0.02 (0.15)  1.61 (1.62)  0.01 (0.08) βx = 2.00  -1.31 (1.32)  0.07 (0.72)  -1.32 (1.32)  0.03 (0.12) βz = 1.00  -0.10 (0.22)  -0.05 (0.49)  -0.11 (0.16)  0.01 (0.22) θ = 0.50  0.64 (1.06)  0.11 (1.09)  0.51 (0.65)  0.05 (0.13)

Table 2: Biases(RMSE) for the parameter estimates in the random intercept Logistic models.