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An Empirical Comparison Of The Effect Of Missing Data On Type I Error And Statistical Power Of The Likelihood Ratio Test For Differential Item Functioning: An Item Response Theory Approach Using The Graded Response Model, Patricia Rodriguez De Gil

USF Tampa Graduate Theses and Dissertations

In the context of educational research, missing data arise when examinees omit or do not reach an item, which generates an item nonresponse problem. Using a simulation approach, in addition to conducting complete data analyses, this study compared the performance of six methods for treating item nonresponse in the context of differential item functioning (DIF). The effect of missing data on the Type I error and statistical power of the Likelihood Ratio test for DIF detection in small scales was examined in the context of Item Response Theory (IRT-LR), using polytomous, Likert-type data and the graded response model. The effect …

What You Know Counts: Why We Should Elicit Prior Probabilities From Experts To Improve Quantitative Analysis With Qualitative Knowledge In Special Education Science, Tyler Aaron Hicks

USF Tampa Graduate Theses and Dissertations

Qualitative knowledge is about types of things, and their excellences. There are many ways we humans produce qualitative knowledge about the world, and much of it is derived from non-quantitative sources (e.g., narratives, clinical experiences, intuitions). The purpose of my dissertation was to investigate the possibility of using Bayesian inferences to improve quantitative analysis in special education research with qualitative knowledge.

It is impossible, however, to fully disentangle philosophy of inquiry, methodology, and methods. My evaluation of Bayesian estimators, thus, addresses each of these areas. Chapter Two offers a philosophical argument to substantiate the thesis that Bayesian inference is usually …