Author(s)

Ahmed Mohamed Mohamed El-Sayed

Department of Management Information Systems, High Institute for Specific Studies, Nazlet Al-Batran, Giza, Egypt.

This paper presents a new approach to identify and estimate the dispersion parameters for bivariate, trivariate and multivariate correlated binary data, not only with scalar value but also with matrix values. For this direction, we present some recent studies indicating the impact of over-dispersion on the univariate data analysis and comparing a new approach with these studies. Following the property of McCullagh and Nelder [1] for identifying dispersion parameter in univariate case, we extended this property to analyze the correlated binary data in higher cases. Finally, we used these estimates to modify the correlated binary data, to decrease its over-dispersion, using the Hunua Ranges data as an ecology problem.

Measures of Association, Correlated Binary Data, Dispersion Parameters, Scaled Deviance, Scalar Value, Scalar Matrix

Mohamed El-Sayed, A. (2016) A New Approach for Dispersion Parameters. Journal of Applied Mathematics and Physics, 4, 1554-1566. doi: 10.4236/jamp.2016.48165.