Research Article

A Two-Sample Parametric Test for Partly Interva-Censored Data with Nonproportional Hazard

Table 1

Estimated power and size of test with exact observations based on simulated data with 10 multiple imputations and 1000 replications at the significance level 0.05 (0.01).


Early difference
Power ST
0.3330.3050.2540.6780.6100.5590.9440.9160.893
(0.133)(0.121)(0.086)(0.431)(0.382)(0.328)(0.835)(0.805)(0.742)
Power LRT
0.2440.2390.2080.5690.53400.4900.8630.8450.817
(0.077)(0.091)(0.070)(0.358)(0.333)(0.305)(0.781)(0.766)(0.727)
Size ST
0.0410.0390.0380.0380.0340.0420.0540.0560.053
(0.012)(0.009)(0.013)(0.005)(0.003)(0.005)(0.009)(0.010)(0.013)
Size LRT
0.0410.0470.0530.0470.0570.0660.0620.0720.080
(0.006)(0.009)(0.014)(0.007)(0.006)(0.008)(0.013)(0.017)(0.025)

Late difference
Power ST
0.1860.1910.2010.4550.4580.4560.8140.8070.777
(0.042)(0.049)(0.056)(0.211)(0.212)(0.214)(0.588)(0.556)(0.526)
Power LRT
0.2030.2180.2380.4890.5020.5270.8420.8350.827
(0.067)(0.079)(0.094)(0.240)(0.248)(0.268)(0.627)(0.618)(0.610)
Size ST
0.0260.0340.0400.0370.0430.0520.0470.0530.048
(0.004)(0.005)(0.005)(0.009)(0.007)(0.009)(0.013)(0.011)(0.016)
Size LRT
0.0380.0490.0620.0450.0580.0710.0530.0630.067
(0.007)(0.010)(0.011)(0.010)(0.010)(0.019)(0.016)(0.017)(0.027)

Cross difference
Power ST
0.5340.5310.4840.8920.8760.8420.9960.9920.977
(0.355)(0.355)(0.314)(0.775)(0.735)(0.682)(0.976)(0.961)(0.917)
Power LRT
0.3710.4320.4550.8550.8880.8830.9980.9990.993
(0.187)(0.242)(0.277)(0.757)(0.787)(0.762)(0.984)(0.982)(0.966)
Size ST
0.1060.0850.0760.0780.0780.1030.0560.0600.063
(0.044)(0.029)(0.023)(0.024)(0.029)(0.029)(0.019)(0.017)(0.023)
Size LRT
0.1080.1240.1460.1130.1360.1780.0870.1100.128
(0.027)(0.033)(0.041)(0.038)(0.048)(0.068)(0.028)(0.034)(0.050)