Table 2.
Goodness-of-fit estimates for fixed and random effects fractional polynomial models for different powers p1 and p2.
| Power p1 | Power p2 | Dbar | Dhat | pD | DIC |
|---|---|---|---|---|---|
| Fixed effects models | |||||
| -2 | - | 904.5 | 884.6 | 19.9 | 924.4 |
| -1 | - | 916.2 | 896.3 | 19.8 | 936.0 |
| -0.5 | - | 925.5 | 905.6 | 19.9 | 945.3 |
| 0a | - | 934.6 | 915.2 | 19.3 | 953.9 |
| 0.5 | - | 942.8 | 923.5 | 19.4 | 962.2 |
| 1b | - | 948.7 | 929.2 | 19.4 | 968.1 |
| 2 | - | 957.3 | 937.5 | 19.9 | 977.2 |
| 3 | - | 964.5 | 944.3 | 20.2 | 984.7 |
| -2 | -2 | 865.5 | 835.8 | 29.8 | 895.3 |
| -2 | -1 | 857.2 | 827.0 | 30.2 | 887.4 |
| -2 | -0.5 | 850.9 | 821.2 | 29.7 | 880.6 |
| -2 | 0 | 844.4 | 815.2 | 29.1 | 873.5 |
| -2 | 0.5 | 840.2 | 810.6 | 29.7 | 869.9 |
| -2 | 1 | 837.1 | 807.1 | 30.1 | 867.2 |
| -2 | 2 | 837.3 | 807.2 | 30.1 | 867.4 |
| -2 | 3 | 837.8 | 808.2 | 29.6 | 867.4 |
| -1 | -1 | 848.4 | 819.8 | 28.6 | 877.0 |
| -1 | -0.5 | 849.0 | 820.1 | 28.9 | 877.9 |
| -1 | 0 | 840.9 | 812.6 | 28.3 | 869.2 |
| -1 | 0.5 | 840.2 | 811.4 | 28.8 | 869.0 |
| -1 | 1 | 839.8 | 809.8 | 30.0 | 869.8 |
| -1 | 2 | 844.3 | 814.0 | 30.2 | 874.5 |
| -1 | 3 | 850.4 | 820.4 | 30.0 | 880.5 |
| -0.5 | -0.5 | 840.5 | 811.6 | 28.9 | 869.4 |
| -0.5 | 0 | 842.2 | 813.6 | 28.6 | 870.8 |
| -0.5 | 0.5 | 842.4 | 812.3 | 30.1 | 872.5 |
| -0.5 | 1 | 843.6 | 813.9 | 29.7 | 873.3 |
| -0.5 | 2 | 851.9 | 822.9 | 29.1 | 881.0 |
| -0.5 | 3 | 861.4 | 831.4 | 30.0 | 891.5 |
| 0 | 0 | 845.8 | 817.2 | 28.6 | 874.4 |
| 0 | 0.5 | 849.8 | 821.6 | 28.2 | 878.0 |
| 0 | 1 | 854.6 | 823.4 | 31.2 | 885.8 |
| 0 | 2 | 862.5 | 833.3 | 29.1 | 891.6 |
| 0 | 3 | 874.2 | 844.6 | 29.6 | 903.9 |
| 0.5 | 0.5 | 854.3 | 830.6 | 23.8 | 878.1 |
| 0.5 | 1 | 860.0 | 831.8 | 28.2 | 888.1 |
| 0.5 | 2 | 876.4 | 846.7 | 29.7 | 906.1 |
| 0.5 | 3 | 888.3 | 858.8 | 29.4 | 917.7 |
| 1 | 1 | 871.4 | 842.0 | 29.4 | 900.8 |
| 1 | 2 | 887.2 | 858.3 | 28.9 | 916.2 |
| 1 | 3 | 902.3 | 871.7 | 30.6 | 932.9 |
| 2 | 2 | 907.8 | 880.0 | 27.9 | 935.7 |
| 2 | 3 | 921.2 | 892.2 | 29.0 | 950.2 |
| 3 | 3 | 934.6 | 906.9 | 27.7 | 962.4 |
| Random effects models | |||||
| -2 | - | 904.4 | 883.2 | 21.3 | 925.7 |
| 0a | - | 934.4 | 911.4 | 23.0 | 957.4 |
| -2c | 1 | 835.9 | 803.9 | 32.0 | 867.9 |
| -2d | 1 | 836.1 | 805.1 | 31.0 | 867.1 |
a Corresponding to Weibull distribution for hazard over time; b Corresponding to Gompertz distribution for hazard over time; c Random effects model with heterogeneity for all three effect parameters; d Random effects model with heterogeneity for d0