Research Article
Discrete Extension of Poisson Distribution for Overdispersed Count Data: Theory and Applications
Table 14
The GOF measures for data set III.
| X | Expected frequencies | ObFr | DPB | DB | DBH | DR | DPr | DITL | Poisson |
| 0 | 126 | 112.65 | 91.510 | 198.28 | 46.867 | 184.81 | 148.06 | 74.940 | 1 | 80 | 97.177 | 113.87 | 64.122 | 106.28 | 58.874 | 88.349 | 115.71 | 2 | 59 | 63.148 | 72.068 | 30.775 | 101.22 | 28.629 | 41.886 | 89.338 | 3 | 42 | 36.634 | 38.301 | 17.569 | 61.198 | 16.832 | 22.551 | 45.982 | 4 | 24 | 20.009 | 18.847 | 11.063 | 25.678 | 11.042 | 13.452 | 17.750 | 5 | 8 | 10.536 | 8.9033 | 7.4179 | 7.7386 | 7.7831 | 8.6560 | 5.4816 | 6 | 5 | 5.4150 | 4.1075 | 5.1946 | 1.7034 | 5.7714 | 5.8972 | 1.4107 | 7 | 4 | 2.7371 | 1.8678 | 3.7549 | 0.2764 | 4.4446 | 4.1996 | 0.3112 | 8 | 3 | 2.6938 | 1.5216 | 12.824 | 0.0365 | 32.807 | 17.947 | 0.0722 | Total | 351 | 351 | 351 | 351 | 351 | 351 | 351 | 351 |
| | | 595.77 | 606.76 | 644.90 | 672.30 | 664.41 | 620.06 | 636.05 | AIC | | 1193.5 | 1215.5 | 1291.8 | 1346.6 | 1330.8 | 1242.1 | 1274.1 | BIC | | 1197.4 | 1219.4 | 1295.7 | 1350.5 | 1334.7 | 1246.0 | 1278.0 | Chi-square | | 7.5679 | 30.006 | 110.86 | 174.61 | 136.03 | 46.659 | 80.913 | value | | 0.2715 | <0.0001 | <0.0001 | <0.0001 | <0.0001 | <0.0001 | <0.0001 |
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