Access Type
Open Access Dissertation
Date of Award
1-1-2010
Degree Type
Dissertation
Degree Name
Ph.D.
Department
Education Evaluation and Research
First Advisor
Shlomo Sawilowsky
Abstract
ABSTRACT
CRITICAL VALUES FOR THE TWO INDEPENDENT SAMPLES WINSORIZED T TEST
by
PIPER A. FARRELL-SINGLETON
AUGUST 2010
Advisor: Dr. Shlomo Sawilowsky
Major: (Education, Evaluation and Research)
Degree: Doctor of Philosophy
Through Monte Carlo Simulation, this study explores the approximate behavior of the two sample winsorized t test. Samples are drawn from the normal population and symetrically winsorized up to 20%. The two independent samples winsorized t test is then calculated on each sample using Monte Carlo methods using 1,000,000 iterations. The t values are then sorted from low to high and the critical values for both one and two tailed tests identified at the 95th, 97.5th, 99th and 99.5th percentiles. A table of critical values is then created, which represents the approximate distribution of the winsorized t statistic.
Recommended Citation
Farrell-Singleton, Piper Alycee, "Critical Values For The Two Independent Samples Winsorized T Test" (2010). Wayne State University Dissertations. 86.
https://digitalcommons.wayne.edu/oa_dissertations/86