Table 2.
n=200 | n=1000 | ||||||||
---|---|---|---|---|---|---|---|---|---|
ψ̂cmle,1 | ψ̂cmle,2 | ψ̂mle | ψ̂eff | ψ̂cmle,1 | ψ̂cmle,2 | ψ̂mle | ψ̂eff | ||
αtrue, ηtrue | bias* | 0.025 | 0.025 | 0.023 | 0.026 | 0.008 | 0.009 | 0.008 | 0.009 |
variance* | 0.140 | 0.124 | 0.120 | 0.143 | 0.030 | 0.027 | 0.027 | 0.030 | |
coverage# | 0.971 | 0.971 | 0.972 | 0.963 | 0.951 | 0.938 | 0.935 | 0.948 | |
αtrue, ηfalse | bias | 0.025 | −0.234 | −0.236 | 0.028 | 0.008 | −0.253 | −0.254 | 0.002 |
variance | 0.140 | 0.136 | 0.135 | 0.161 | 0.030 | 0.026 | 0.025 | 0.030 | |
coverage | 0.971 | 0.892 | 0.942 | 0.893 | 0.951 | 0.627 | 0.945 | 0.620 | |
αfalse, ηtrue | bias | −0.245 | 0.025 | −0.230 | 0.037 | −0.268 | 0.009 | −0.247 | 0.006 |
variance | 0.125 | 0.124 | 0.112 | 0.151 | 0.023 | 0.027 | 0.021 | 0.029 | |
coverage | 0.897 | 0.971 | 0.906 | 0.958 | 0.593 | 0.938 | 0.613 | 0.942 | |
αfalse, ηfalse | bias | −0.245 | −0.234 | −0.251 | −0.264 | −0.268 | −0.253 | −0.251 | −0.252 |
variance | 0.125 | 0.136 | 0.126 | 0.126 | 0.023 | 0.026 | 0.024 | 0.024 | |
coverage | 0.897 | 0.892 | 0.879 | 0.916 | 0.593 | 0.627 | 0.580 | 0.617 |
Coverage of Wald confidence intervals using the second derivative of the score equations to estimate the variance of cmles and of the mle, and Σ̂ to estimate the variance of ψ̂eff.