Table 3 : Observed values and expected values under the poisson,
negative binomial, and zero-inflated negative binomial assumptions.


Number of Additional Attempts Observed Frequency Expected Frequency
Poisson
Expected Frequency
NB
Expected Frequency
ZINB

0 278 188.66 275.97 278
1 142 215.74 147.48 141.55
2 84 123.36 78.69 80.64
3 33 47.02 41.96 43.79
4 31 13.44 22.37 23.18
5 11 3.075 11.92 12.09
6 5 0.59 6.36 6.24
7 5 0.096 3.39 3.20
8 3 0.014 1.80 1.63
9+ 0 0.002 2.06 1.67

This table compares the actual observed frequency of successes by additional
attempts, along with the expected frequencies under the Poisson, Negative
Binomial, and Zero-Inflated Negative Binomial distributions.

Brinkley et al.Journal of Medical Statistics and Informatics  2014 2:6DOI : 10.7243/2053-7662-2-6