Table 2 Summary of posterior predictive checking based on the ten test statistics
Assumption | Â | Â | Â | Â | Â | Â |
|---|---|---|---|---|---|---|
Treatment | CCP | Control | ||||
Test quantity: % subjects | \(T(D^{original})\) | 95% int. for \(T(D^{rep})\) | Bayesian P value | \(T(D^{original})\) | 95% int. for \(T(D^{rep})\) | Bayesian P value |
| Â | a Proportional cumulative odds | |||||
WHO \(\le\) 0 | 5.32 | [2.91, 7.99] | 0.48 | 5.35 | [2.18, 6.80] | 0.14 |
WHO \(\le\) 1 | 14.19 | [8.96, 16.95] | 0.24 | 11.36 | [7.28, 14.56] | 0.34 |
WHO \(\le\) 2 | 21.06 | [14.53, 24.21] | 0.23 | 17.15 | [11.65, 20.63] | 0.32 |
WHO \(\le\) 3 | 27.94 | [21.07, 32.20] | 0.30 | 23.83 | [17.48, 27.91] | 0.29 |
WHO \(\le\) 4 | 35.25 | [29.06, 41.16] | 0.45 | 31.40 | [24.76, 36.17] | 0.34 |
WHO \(\le\) 5 | 46.12 | [40.19, 53.03] | 0.53 | 41.87 | [34.95, 47.57] | 0.42 |
WHO \(\le\) 6 | 58.31 | [53.27, 65.86] | 0.67 | 55.23 | [48.06, 60.68] | 0.40 |
WHO \(\le\) 7 | 66.74 | [60.77, 72.64] | 0.52 | 61.02 | [55.58, 67.96] | 0.61 |
WHO \(\le\) 8 | 82.04 | [75.30, 85.23] | 0.28 | 75.50 | [71.36, 82.04] | 0.68 |
WHO \(\le\) 9 | 92.90 | [88.86, 95.16] | 0.35 | 89.31 | [86.41, 93.69] | 0.74 |
| Â | b Non-proportional cumulative odds (Case I) | |||||
WHO \(\le\) 0 | 7.57 | [2.91, 8.50] | 0.07 | 0.67 | [0.24, 2.66] | 0.88 |
WHO \(\le\) 1 | 15.37 | [8.25, 16.50] | 0.07 | 1.55 | [1.45, 5.08] | 0.95 |
WHO \(\le\) 2 | 24.05 | [16.75, 27.43] | 0.21 | 5.99 | [3.63, 8.96] | 0.54 |
WHO \(\le\) 3 | 30.96 | [24.03, 36.17] | 0.37 | 9.31 | [5.81, 12.59] | 0.42 |
WHO \(\le\) 4 | 40.98 | [35.19, 48.06] | 0.55 | 15.30 | [10.17, 18.89] | 0.30 |
WHO \(\le\) 5 | 48.55 | [41.75, 54.85] | 0.44 | 16.85 | [13.32, 22.76] | 0.65 |
WHO \(\le\) 6 | 61.25 | [53.40, 66.02] | 0.32 | 21.51 | [20.10, 31.23] | 0.93 |
WHO \(\le\) 7 | 72.61 | [69.90, 80.58] | 0.84 | 43.02 | [35.35, 47.70] | 0.32 |
WHO \(\le\) 8 | 80.18 | [76.21, 85.92] | 0.65 | 48.56 | [43.34, 55.93] | 0.63 |
WHO \(\le\) 9 | 88.86 | [84.47, 92.23] | 0.42 | 61.86 | [56.90, 69.01] | 0.64 |
| Â | c Non-proportional cumulative odds (Case II) | |||||
WHO \(\le\) 0 | 9.11 | [0.49, 3.16] | 0.00 | 0.22 | [3.15, 9.20] | 1.00 |
WHO \(\le\) 1 | 15.33 | [2.43, 7.28] | 0.00 | 10.22 | [11.62, 21.07] | 1.00 |
WHO \(\le\) 2 | 23.78 | [9.95, 18.45] | 0.00 | 38.00 | [32.69, 45.04] | 0.61 |
WHO \(\le\) 3 | 33.11 | [24.03, 36.17] | 0.16 | 69.56 | [57.14, 69.25] | 0.02 |
WHO \(\le\) 4 | 38.22 | [33.01, 46.12] | 0.65 | 80.89 | [66.83, 77.97] | 0.00 |
WHO \(\le\) 5 | 48.89 | [46.84, 59.95] | 0.90 | 90.67 | [77.72, 87.17] | 0.00 |
WHO \(\le\) 6 | 60.44 | [58.50, 71.12] | 0.92 | 95.56 | [84.75, 92.25] | 0.00 |
WHO \(\le\) 7 | 75.78 | [74.03, 84.47] | 0.92 | 98.22 | [91.53, 96.85] | 0.00 |
WHO \(\le\) 8 | 82.89 | [81.80, 90.53] | 0.94 | 99.56 | [94.19, 98.31] | 0.00 |
WHO \(\le\) 9 | 92.22 | [91.26, 97.09] | 0.92 | 99.78 | [97.34, 99.76] | 0.01 |