Date of Award
12-2006
Degree Name
Doctor of Philosophy
Department
Statistics
First Advisor
Dr. Magdalena Niewiadomska-Bugaj
Abstract
Gini mean difference (GMD) was proposed as a measure of income inequality by Corrado Gini in 1912. Since then it has been widely applied - mostly in theeconomics, but also in statistical and social science research.
Four statistical tests of univariate symmetry are being proposed---all based on the comparison of variation below and above the median (known or estimated) measured by the GMD. These tests are applicable to the data from populations with median known and unknown, and each of them has its rank-basedcounterpart, so they can also be used for ordinal data.
A Monte Carlo simulation study was performed to study the properties of new tests and compare them with existing ones. It has been found that the proposedtests favorably compare with other procedures.
Access Setting
Dissertation-Open Access
Recommended Citation
Ouda, Hend, "New Tests of Univariate Symmetry Based on the Gini Mean Difference" (2006). Dissertations. 974.
https://scholarworks.wmich.edu/dissertations/974