. Author manuscript; available in PMC: 2018 Dec 12.

Published in final edited form as: Commun Stat Simul Comput. 2018 Jul 5;47(6):1722–1738. doi: 10.1080/03610918.2017.1323223

Table 1.

Percent of simulations at varying levels of overdispersion in which the score test did in fact reject the null hypothesis and affirm the presence of overdispersion in the dataset.

σ_p	Outlier Dependent			Zero Inflation
σ_p	β₁ = 0.01	β₁ = 0.41	β₁ = 0.92	β₁ = 0.01	β₁ = 0.41	β₁ = 0.92
1.0	6.50	6.50	6.50	6.50	6.50	6.50
1.2	55.50	50.50	28.50	46.50	43.50	51.50
1.3	71.50	53.00	47.00	63.50	64.00	56.50
1.4	79.00	71.50	68.00	74.50	77.00	69.00
1.5	95.50	88.00	87.50	90.00	90.00	85.00
2.0	99.50	99.50	98.50	100.00	100.00	99.00
2.5	100.00	100.00	100.00	100.00	100.00	100.00
5.0	100.00	100.00	100.00	100.00	100.00	100.00
10.0	100.00	100.00	100.00	—	—	—

σ_p is defined as the ratio of the Pearson χ² to its degrees of freedom