. Author manuscript; available in PMC: 2010 Apr 26.

Published in final edited form as: Biometrics. 2008 May 23;65(1):125–134. doi: 10.1111/j.1541-0420.2008.01054.x

Table 2.

Simulation results for the modified weighted kappa estimator with discrete survival times simulated from the Discrete Clayton model based on 500 simulation runs, with comparison to sample kappa estimator based on complete observations

Proposed Kappa Estimator

Sample estimator of κ̂
with complete obs. only

κ_{g}^{w}

Sample
size

Censoring
%

κ̂
mean (SD)

Bootstrap SE
mean (SD)

Coverage
Prob.

sample estimator
mean(SD)

Bootstrap SE
SE (SD)

Coverage
Prob.

0.472

10%

0.455(0.120)

0.112(0.016)

91.6

0.461(0.120)

0.115(0.017)

92.0

30%

0.436(0.129)

0.116(0.016)

88.7

0.356(0.165)

0.137(0.022)

81.6

50%

0.373(0.200)

0.127(0.020)

80.3

0.309(0.248)

0.154(0.031)

69.5

100

10%

0.462(0.085)

0.082(0.011)

93.9

0.459(0.090)

0.086(0.011)

93.0

30%

0.457(0.092)

0.086(0.011)

91.2

0.373(0.121)

0.109(0.012)

83.4

50%

0.427(0.112)

0.103(0.014)

90.8

0.329(0.166)

0.133(0.022)

76.8

200

10%

0.472(0.060)

0.058(0.006)

94.0

0.461(0.062)

0.061(0.006)

94.3

30%

0.460(0.063)

0.062(0.007)

93.6

0.370(0.087)

0.082(0.009)

78.5

50%

0.456(0.081)

0.077(0.009)

93.8

0.336(0.119)

0.106(0.013)

76.6

0.651

10%

0.640 (0.092)

0.089(0.018)

92.0

0.628(0.095)

0.095(0.021)

91.8

30%

0.609(0.100)

0.100(0.019)

95.1

0.518(0.149

0.130(0.025)

82.6

50%

0.535(0.137)

0.123(0.022)

83.6

0.466(0.212)

0.154(0.034)

77.5

100

10%

0.646(0.062)

0.062(0.010)

93.9

0.631(0.067)

0.068(0.012)

96.1

30%

0.634(0.067)

0.068(0.011)

95.9

0.536(0.099)

0.097(0.017)

85.0

50%

0.600(0.092)

0.088(0.015)

91.2

0.505(0.139)

0.128(0.024)

81.3

200

10%

0.650(0.044)

0.044(0.006)

95.1

0.635(0.046)

0.047(0.006)

94.7

30%

0.640(0.047)

0.048(0.006)

94.9

0.543(0.070)

0.070(0.010)

71.9

50%

0.630(0.064)

0.062(0.009)

93.8

0.513(0.099)

0.097(0.015)

75.8

0.804

10%

0.790(0.059)

0.060(0.016)

93.6

0.784(0.066)

0.064(0.020)

94.9

30%

0.765(0.066)

0.072(0.017)

95.1

0.704(0.112)

0.101(0.030)

90.0

50%

0.688(0.130)

0.109(0.025)

86.7

0.663(0.159)

0.137(0.042)

86.7

100

10%

0.799(0.039)

0.041(0.008)

95.7

0.795(0.041)

0.044(0.010)

95.5

30%

0.780(0.044)

0.048(0.009)

95.7

0.720(0.069)

0.070(0.017)

87.3

50%

0.746(0.065)

0.070(0.014)

91.6

0.683(0.105)

0.102(0.029)

86.5

200

10%

0.802(0.027)

0.028(0.004)

96.1

0.794(0.031)

0.030(0.005)

93.6

30%

0.792(0.031)

0.032(0.005)

95.9

0.721(0.050)

0.049(0.008)

68.8

50%

0.767(0.046)

0.047(0.007)

92.6

0.698(0.070)

0.070(0.017)

76.2