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. Author manuscript; available in PMC: 2012 Dec 1.
Published in final edited form as: Biometrics. 2011 Mar 18;67(4):1340–1351. doi: 10.1111/j.1541-0420.2011.01590.x

Table 1.

Results from the simulation study with normal frailty

n Cluster Size Parameter True value Est SE ESE CP
100 2 ~ 5 β1 0.5 0.506 0.631 0.613 0.94
β2 1.0 1.015 1.091 1.059 0.95
θ 1.0 1.043 1.096 1.424 0.97
Λ (t1) 0.473 0.477 0.103 0.103 0.95
Λ (t2) 1.076 1.094 0.213 0.215 0.94
Λ (t3) 1.958 2.000 0.377 0.397 0.96
200 2 ~ 5 β1 0.5 0.504 0.445 0.433 0.94
β2 1.0 1.018 0.769 0.747 0.94
θ 1.0 0.976 0.857 1.044 0.98
Λ (t1) 0.473 0.473 0.075 0.073 0.93
Λ (t2) 1.076 1.082 0.158 0.153 0.94
Λ (t3) 1.958 1.964 0.281 0.281 0.95
400 2 ~ 5 β1 0.5 0.490 0.310 0.306 0.95
β2 1.0 1.001 0.549 0.528 0.94
θ 1.0 0.921 0.655 0.761 0.98
Λ (t1) 0.473 0.474 0.054 0.052 0.94
Λ (t2) 1.076 1.079 0.111 0.108 0.94
Λ (t3) 1.958 1.959 0.200 0.200 0.94
20 25 β1 0.5 0.509 0.430 0.416 0.94
β2 1.0 1.015 0.757 0.714 0.92
θ 1.0 0.856 0.491 0.449 0.86
Λ (t1) 0.473 0.470 0.078 0.076 0.93
Λ (t2) 1.076 1.078 0.162 0.155 0.93
Λ (t3) 1.958 1.952 0.284 0.269 0.93
20 50 β1 0.5 0.502 0.314 0.292 0.93
β2 1.0 0.992 0.554 0.503 0.91
θ 1.0 0.817 0.404 0.328 0.79
Λ (t1) 0.473 0.476 0.064 0.058 0.91
Λ (t2) 1.076 1.080 0.128 0.117 0.92
Λ (t3) 1.958 1.953 0.220 0.204 0.92