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Table 2 Empirical 5%-level tests by varying θB,m1A, and m1B with θA=0.5 when censoring fraction is 0.3, and there are some missed visits with a probability of 0.1 for the first year and then of 0.2 thereafter

From: Comparing survival functions with interval-censored data in the presence of an intermediate clinical event

(θA,θB)

(m0A,m0B)

(m1A,m1B)

I

II

III-(1)

III-(2)

IV-(1)

IV-(2)

n=50

 (0.5, 0.5)

(1, 1)

(2, 2)

0.050

0.056

0.049

0.055

0.045

0.055

 (0.5, 0.5)

(1, 1)

(1, 1)

0.065

0.060

0.044

0.058

0.043

0.055

 (0.5, 0.4)

(1, 1)

(2, 2)

0.058

0.100

0.051

0.060

0.049

0.062

 (0.5, 0.4)

(1, 1)

(1, 1)

0.052

0.090

0.042

0.053

0.048

0.053

 (0.5, 0.3)

(1, 1)

(2, 2)

0.079

0.162

0.049

0.054

0.052

0.055

 (0.5, 0.3)

(1, 1)

(1, 1)

0.047

0.200

0.048

0.058

0.043

0.054

n=100

 (0.5, 0.5)

(1, 1)

(2, 2)

0.052

0.055

0.045

0.049

0.048

0.051

 (0.5, 0.5)

(1, 1)

(1, 1)

0.044

0.052

0.044

0.054

0.044

0.054

 (0.5, 0.4)

(1, 1)

(2, 2)

0.075

0.105

0.052

0.056

0.053

0.057

 (0.5, 0.4)

(1, 1)

(1, 1)

0.052

0.133

0.045

0.060

0.049

0.060

 (0.5, 0.3)

(1, 1)

(2, 2)

0.110

0.258

0.046

0.058

0.046

0.054

 (0.5, 0.3)

(1, 1)

(1, 1)

0.052

0.336

0.041

0.052

0.042

0.051

n=200

 (0.5, 0.5)

(1, 1)

(2, 2)

0.059

0.059

0.042

0.047

0.045

0.048

 (0.5, 0.5)

(1, 1)

(1, 1)

0.050

0.054

0.052

0.059

0.050

0.056

 (0.5, 0.4)

(1, 1)

(2, 2)

0.078

0.180

0.048

0.054

0.050

0.053

 (0.5, 0.4)

(1, 1)

(1, 1)

0.057

0.219

0.044

0.050

0.043

0.051

 (0.5, 0.3)

(1, 1)

(2, 2)

0.168

0.485

0.047

0.051

0.050

0.052

 (0.5, 0.3)

(1, 1)

(1, 1)

0.060

0.582

0.040

0.049

0.043

0.050

  1. I = log-rank, II = Stratified log-rank, III = Uniform weight method, IV = Weighted weight method (1) added within and between variance, (2) subtracted within and between variance