%0 Journal Article
%T Beta–Binomial and Overdispersion with Exchange of the Sample Size over the Probability Interval [0, 1] with Applications
%J Passer Journal of Basic and Applied Sciences
%I University of Garmian
%Z 27065944
%A Amin, Hanaw Ahmed
%A Qadir, Rando Rasul
%D 2020
%\ 09/01/2020
%V 2
%N 2
%P 63-68
%! Beta–Binomial and Overdispersion with Exchange of the Sample Size over the Probability Interval [0, 1] with Applications
%K Beta-Binomial
%K Overdispersion
%K maximum likelihood estimation
%K Binary Data
%K breast cancer
%K Tarone’Z Test
%R 10.24271/psr.13
%X The beta-binomial model that is generated by a simple mixture model has been commonly applied in the health, physical, and social sciences. In clinical and public health, overdispersion occurs due to biological variation between the subjects of interest. Both the binomial and beta-binomial models are applied to different problems occurring in rational test theory. In this study, we focused on modeling overdispersion for binomial distribution. The main aim was to show a complete and extensive understanding of the beta-binomial model and updated form by broaden its practical applications in the field of breast cancer with hormone medication. It is observed in different independent Bernoulli trials yes/no (xi=1, 0) experiments with success probabilities 0