Critical Values For The Two Independent Samples Winsorized T Test

<p>ABSTRACT</p> <p>CRITICAL VALUES FOR THE TWO INDEPENDENT SAMPLES WINSORIZED T TEST</p> <p>by</p> <p>PIPER A. FARRELL-SINGLETON</p> <p>AUGUST 2010</p> <p>Advisor: Dr. Shlomo Sawilowsky</p> <p>Major: (Education, Evaluation and Research)</p> <p>Degree: Doctor of Philosophy</p> <p>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.</p>

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Open Access Dissertation

Discipline thesis:degree_discipline

Education Evaluation and Research

Year dc:date.available

2010

Author dc:creator

• Farrell-Singleton, Piper Alycee

Contributors dc:contributor

• Shlomo Sawilowsky

• winsorization
• winsorize
• winsorized t test
• Statistics and Probability

Repository record dc:identifier

https://digitalcommons.wayne.edu/oa_dissertations/86

OAI identifier oai:identifier

oai:digitalcommons.wayne.edu:oa_dissertations-1085