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Table 2 Results from various setups and tests

From: Bayesian test for hazard ratio in survival analysis

Data size and model

Censoring rate

Proposed

Y&P

F&H (1/2)

Renyi (1/2)

Log rank

\(n = 50\)

 \(M_3\)

0.30

0.94

0.69

0.27/0.89

0.18/0.82

0.52

 \(M_3\)

0.50

0.59

0.34

0.10/0.63

0.06/0.53

0.26

 \(M_3\)

0.70

0.22

0.10

0.03/0.26

0.02/0.22

0.07

 \(M_4\)

0.30

0.98

0.88

0.72/0.93

0.62/0.90

0.85

 \(M_4\)

0.50

0.68

0.69

0.53/0.70

0.46/0.64

0.66

 \(M_4\)

0.70

0.50

0.36

0.29/0.41

0.23/0.36

0.34

\(n = 100\)

 \(M_3\)

0.30

1.00

0.96

0.51/1.00

0.43/0.98

0.80

 \(M_3\)

0.50

0.84

0.73

0.29/0.91

0.23/0.85

0.61

 \(M_3\)

0.70

0.22

0.24

0.10/0.50

0.10/0.44

0.19

 \(M_4\)

0.30

1.00

1.00

0.93/1.00

0.91/1.00

0.99

 \(M_4\)

0.50

0.96

0.94

0.82/0.96

0.80/0.96

0.93

 \(M_4\)

0.70

0.56

0.66

0.60/0.67

0.51/0.61

0.65

\(n = 200\)

 \(M_3\)

0.30

1.00

1.00

0.74/1.00

0.61/1.00

1.00

 \(M_3\)

0.50

0.95

0.98

0.37/1.00

0.29/1.00

0.88

 \(M_3\)

0.70

0.31

0.43

0.09/0.84

0.18/0.78

0.29

 \(M_4\)

0.30

1.00

1.00

1.00/1.00

1.00/1.00

1.00

 \(M_4\)

0.50

1.00

1.00

0.98/1.00

0.96/1.00

1.00

 \(M_4\)

0.70

0.79

0.98

0.88/0.94

0.83/0.93

0.95

  1. Y&P, Yang and Prentice test; F&H (1/2), Fleming and Harrington tests; Renyi (1/2), Renyi tests