Research Article

Discrete Extension of Poisson Distribution for Overdispersed Count Data: Theory and Applications

Table 14

The GOF measures for data set III.

XExpected frequencies
ObFrDPBDBDBHDRDPrDITLPoisson

0126112.6591.510198.2846.867184.81148.0674.940
18097.177113.8764.122106.2858.87488.349115.71
25963.14872.06830.775101.2228.62941.88689.338
34236.63438.30117.56961.19816.83222.55145.982
42420.00918.84711.06325.67811.04213.45217.750
5810.5368.90337.41797.73867.78318.65605.4816
655.41504.10755.19461.70345.77145.89721.4107
742.73711.86783.75490.27644.44464.19960.3112
832.69381.521612.8240.036532.80717.9470.0722
Total351351351351351351351351

595.77606.76644.90672.30664.41620.06636.05
AIC1193.51215.51291.81346.61330.81242.11274.1
BIC1197.41219.41295.71350.51334.71246.01278.0
Chi-square7.567930.006110.86174.61136.0346.65980.913
value0.2715<0.0001<0.0001<0.0001<0.0001<0.0001<0.0001