International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064

Downloads: 106 | Views: 116

Research Paper | Statistics | Kenya | Volume 4 Issue 11, November 2015

C(Alpha) Tests for Testing Homogeneity of Proportions in Presence of McDONALD Generalized Beta-Binomial Over-Dispersion

Bichanga Lawrence Areba | Ali Islam [2] | Orawo Luke

Abstract: An important problem in toxicology, teratology, consumers purchasing behavior, drinking behavior of alcohol, in studies of dental caries in children and other similar fields is to compare proportions of certain characteristic in several groups. A special case is to compare the proportions in a control group with that in a treatment group. However, these proportions often exhibit variation greater than predicted by a simple binomial model. Continuous distribution defined on the standard unit interval is used to test homogeneity of proportion as one way of handling over-dispersion of the binomial distribution. The Kumaraswamy-Binomial (KB) distribution, Beta-Binomial (BB) distribution and the new McDonald Generalized Beta-Binomial (McGBB) distributions are prominent members of Binomial mixture distribution. The new McDonald Generalized Beta-Binomial distribution model has shown to give better fit than the Kumaraswamy-Binomial distribution and Beta-Binomial distribution on both the simulation study and the real data set in handling binomial outcome data. In this paper we focus on testing homogeneity of proportions in presence the new McGBB distribution over-dispersion by deriving the C (alpha) tests using the Quasi-likelihood and the Extended Quasi-likelihood estimating functions. The performance of the derived C (alpha) tests are better when compared, through simulations, with the Likelihood ratio test.

Keywords: Common Over-dispersion, Likelihood Ratio statistic, Simulation, Quasi-likelihood

Edition: Volume 4 Issue 11, November 2015,

Pages: 2066 - 2074

How to Download this Article?

Type Your Email Address below to Download the Article PDF

How to Cite this Article?

Bichanga Lawrence Areba, Ali Islam, Orawo Luke, "C(Alpha) Tests for Testing Homogeneity of Proportions in Presence of McDONALD Generalized Beta-Binomial Over-Dispersion", International Journal of Science and Research (IJSR), Volume 4 Issue 11, November 2015, pp. 2066-2074,

Similar Articles with Keyword 'Simulation'

Downloads: 1 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1

Research Paper, Statistics, India, Volume 12 Issue 2, February 2023

Pages: 905 - 909

Designing a better Support Vector Machines Classification Model for Multi-Class Category

Muthukrishnan .R | Udaya Prakash .N

Share this Article

Downloads: 40

Research Paper, Statistics, Kenya, Volume 6 Issue 5, May 2017

Pages: 2337 - 2342

Logistic Regression with Correction for HIV Self Reporting

Dorothy Nyakerario Riang'a | Samuel Musili Mwalili | Humphreys Murray

Share this Article