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A Comparison Of The Effects Of Non-Normal Distributions On Tests Of Equivalence, Linda Ellington

Wayne State University Dissertations

Statistical theory and its application provide the foundation to modern systematic inquiry in the behavioral, physical and social sciences disciplines (Fisher, 1958; Wilcox, 1996). It provides the tools for scholars and researchers to operationalize constructs, describe populations, and measure and interpret the relations between populations and variables (Weinbach & Grinnell, 1997; Wilcox, 1996). Given that the majority of real data analysis in the behavioral and social sciences is comprised of non-normally distributed data, it is important that researchers be aware of the effects of non-normal distributions on the probability of detecting equivalence between populations.

The present study examined the effects …

Reliability Generalization: Lapsus Linguae, Julie Marilyn Smith

Wayne State University Dissertations

This study examines the proposed Reliability Generalization (RG) method for studying reliability. RG employs the application of meta-analytic techniques similar to those used in validity generalization studies to examine reliability coefficients. This study explains why RG does not provide a proper research method for the study of reliability, including describing how reliability is not a singular metric but a family of coefficients that are not interchangeable, along with other issues, such as sample and test administration. This research used Monte Carlo simulations designed to illustrate how the same instrument, administered repeatedly, can result in different reliability coefficients and to show …

Cultural Enrichment: Connecting African American Elementary Children To Academic Achievement, Deborah L. Winston

Wayne State University Dissertations

A large, growing number of mis-educated American citizens are being produced by America's public schools. Many of these students are being funneled into the penal system shortly after dropping out of high school. This phenomenon is especially prevalent among African American male students, many of whom have withdrawn academically years prior to permanently dropping out of school. Additionally, to further underscore the importance of successfully educating African American students are the debilitating effects brought about after incarceration. About 4 million people in the United States, including 1.4 million Black men (13 percent of the adult male Black population) have currently …

Approximate Vs. Monte Carlo Critical Values For The Winsorized T-Test, Michael Lance

Wayne State University Dissertations

Historically, it has been accepted practice for critical values for the Winsorized t test for independent samples to be based on adjusted degrees of freedom depending on the number of total non-Winsorized (approximate) values. Recently, a new such table of Winsorized critical values has been developed via approximate randomization by Monte Carlo simulation.

Based on eight common data distributions estimated from Psychology and Education along with the normal and five Mathematical distributions, these two tables of values were compared with respect to robustness to types I and II errors through Monte Carlo simulations for one and 10% Winsorized values per …