Table 4 The mles, frequencies, and goodness-of-fit values for the cytogenetic dosimetry lesions dataset.
From: Discrete Poisson Haq distribution with mathematical properties and count data modeling
X | Obs. Fr. | Exp. Fr. | |||||
|---|---|---|---|---|---|---|---|
PH | PRL | PXL | PME | PEWE | Poisson | ||
0 | 200 | 195.9764 | 40.267 | 194.5782 | 186.0004 | 74.266 | 174.8245 |
1 | 57 | 66.9847 | 44.300 | 68.5440 | 79.0868 | 79.276 | 94.4052 |
2 | 30 | 23.6390 | 41.910 | 24.0289 | 25.2206 | 58.397 | 25.4894 |
3 | 7 | 8.5153 | 36.708 | 8.3879 | 7.1491 | 37.515 | 4.5881 |
4+ | 6 | 4.8846 | 136.81 | 4.4611 | 2.5431 | 50.547 | 0.6928 |
Total | 300 | 300 | 300 | 300 | 300 | 300 | 300 |
MLE | \(\:\:\widehat{\varvec{\alpha\:}}\) | 2.2094 | 2.8186 | 2.0512 | 0.2700 | 1.1133 | 0.5400 |
GOF Measures | \(\:-\varvec{l}\) | 299.21 | 575.24 | 299.31 | 302.41 | 434.29 | 314.23 |
AIC | 600.42 | 1152.5 | 600.63 | 606.83 | 870.59 | 630.45 | |
BIC | 604.13 | 1156.2 | 604.33 | 610.53 | 874.29 | 634.16 | |
\(\:{\varvec{\chi\:}}^{2}\) | 3.2945 | 789.78 | 3.5809 | 9.2566 | 297.02 | 30.527 | |
df | 2.0 | 3.0 | 2.0 | 2.0 | 3.0 | 2.0 | |
P-value | 0.1925 | 0.000 | 0.1668 | 0.0097 | 0.0000 | 0.0000 | |