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. Author manuscript; available in PMC: 2019 Jun 1.
Published in final edited form as: Environmetrics. 2018 May 29;29(4):e2505. doi: 10.1002/env.2505

Table 2.

Coverage and median 95% CI width for different degrees of censoring in X(1), X(2), and Y when the correlation between X(1) and X(2) is 0.00

Percent Censoring 95% Coverage Probabilities Median Posterior 95% CI Width
Regression Coefficients Variances Regression Coefficients
Y X(1) X(2) β0,(1) β0,(2) β1,(2) β0,(Y|X) β1,(Y|X) β2,(Y|X)
σ(1)2
σ(2|1)2
σ(Y|X)2
β0,(1) β0,(2) β1,(2) β0,(Y|X) β1,(Y|X) β2,(Y|X)
0 0 0 94.3 95.8 95.3 94.2 94.6 94.3 95.2 94.9 94.0 0.59 0.64 0.22 0.94 0.16 0.29

25 25 25 92.6 95.8 94.9 95.7 95.2 95.4 83.0 90.2 91.7 0.68 0.66 0.22 1.12 0.19 0.33
25 25 50 92.6 89.4 95.5 94.5 95.9 94.6 82.9 47.1 93.0 0.68 0.86 0.28 1.04 0.19 0.31
25 25 75 92.6 40.5 95.5 74.1 95.8 80.0 83.2   1.1 94.6 0.68 1.62 0.47 0.90 0.19 0.27
25 50 25 62.7 95.2 95.2 92.9 87.1 95.9 33.5 89.9 93.8 0.91 0.58 0.20 1.13 0.18 0.34
25 50 50 61.9 86.5 95.2 84.6 86.9 94.5 33.8 48.3 94.0 0.91 0.76 0.25 1.05 0.18 0.32
25 50 75 62.3 27.3 95.9 44.8 86.6 81.2 33.9   1.5 94.9 0.91 1.48 0.42 0.91 0.19 0.28
25 75 25   1.0 95.5 95.2 62.9 40.4 95.1   1.9 91.2 95.8 1.85 0.45 0.18 1.21 0.18 0.37
25 75 50   1.0 78.9 95.0 43.1 39.4 95.6   1.9 50.1 95.0 1.85 0.60 0.22 1.13 0.18 0.35
25 75 75   1.1   7.7 94.1   8.8 41.5 83.2   1.7   1.8 95.3 1.85 1.26 0.36 0.96 0.18 0.31

50 25 25 92.7 95.7 95.2 79.1 82.5 91.8 81.2 89.7 65.5 0.68 0.66 0.22 1.56 0.25 0.43
50 25 50 92.4 89.4 95.6 88.1 82.2 94.8 81.2 46.7 68.9 0.68 0.86 0.28 1.46 0.26 0.40
50 25 75 92.7 39.8 95.1 97.2 84.2 92.6 82.1   1.2 73.5 0.68 1.63 0.47 1.26 0.26 0.35
50 50 25 58.7 94.9 95.6 92.7 96.4 92.5 29.7 89.9 72.4 0.94 0.57 0.20 1.54 0.24 0.43
50 50 50 58.8 85.7 94.3 95.8 97.1 95.7 29.5 47.7 74.8 0.94 0.75 0.25 1.44 0.24 0.40
50 50 75 58.4 25.1 96.3 94.2 96.1 92.3 30.0   1.6 79.7 0.94 1.48 0.42 1.23 0.25 0.35
50 75 25   0.8 95.0 95.1 94.5 84.9 92.4   1.0 90.9 84.6 1.94 0.44 0.17 1.56 0.22 0.46
50 75 50   0.9 77.5 94.9 87.5 84.6 94.2   0.9 50.4 86.2 1.94 0.59 0.22 1.45 0.23 0.43
50 75 75   0.6   4.9 94.8 54.1 85.0 91.7   0.9   1.8 89.2 1.94 1.26 0.36 1.22 0.23 0.37

75 25 25 92.5 95.7 94.9 23.0 40.2 83.8 81.7 89.8 16.8 0.68 0.66 0.22 3.18 0.48 0.73
75 25 50 92.6 89.4 95.1 27.7 40.3 88.3 82.1 47.0 17.9 0.68 0.86 0.28 3.02 0.48 0.68
75 25 75 92.6 39.1 95.1 43.6 43.0 95.5 81.8   1.1 24.3 0.68 1.65 0.47 2.62 0.49 0.58
75 50 25 56.5 95.4 95.7 38.6 59.3 84.3 29.1 90.0 22.2 0.96 0.57 0.20 3.11 0.45 0.74
75 50 50 56.7 85.7 94.8 44.8 59.7 88.6 29.0 46.7 24.0 0.96 0.75 0.25 2.92 0.46 0.69
75 50 75 56.4 24.6 95.8 68.3 61.7 95.6 29.3   1.1 30.5 0.96 1.49 0.43 2.52 0.46 0.58
75 75 25   0.4 95.1 95.0 81.9 95.4 85.6   0.5 90.8 37.5 2.04 0.43 0.17 2.94 0.40 0.77
75 75 50   0.4 77.9 95.3 88.6 95.2 89.9   0.6 50.2 40.2 2.04 0.58 0.22 2.74 0.39 0.72
75 75 75   0.3   4.4 94.6 98.4 95.8 96.2   0.5   1.8 47.7 2.05 1.26 0.36 2.32 0.40 0.61