TY - JOUR ID - 118214 TI - Beta–Binomial and Overdispersion with Exchange of the Sample Size over the Probability Interval [0, 1] with Applications JO - Passer Journal of Basic and Applied Sciences JA - PSR LA - en SN - 27065944 AU - Amin, Hanaw Ahmed AU - Qadir, Rando Rasul AD - Department of Mathematics, College of Science, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq AD - Department of Mathematics, College of Basic Education, University Of Sulaimani, P.O. Box: 46, Sulaimani, Kurdistan Region, Iraq Y1 - 2020 PY - 2020 VL - 2 IS - 2 SP - 63 EP - 68 KW - Beta-Binomial KW - Overdispersion KW - maximum likelihood estimation KW - Binary Data KW - breast cancer KW - Tarone’Z Test DO - 10.24271/psr.13 N2 - 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