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Wang, Chun; Zhang, Xue – Grantee Submission, 2019
The relations among alternative parameterizations of the binary factor analysis (FA) model and two-parameter logistic (2PL) item response theory (IRT) model have been thoroughly discussed in literature (e.g., Lord & Novick, 1968; Takane & de Leeuw, 1987; McDonald, 1999; Wirth & Edwards, 2007; Kamata & Bauer, 2008). However, the…
Descriptors: Test Items, Error of Measurement, Item Response Theory, Factor Analysis
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Magnus, Brooke E.; Thissen, David – Journal of Educational and Behavioral Statistics, 2017
Questionnaires that include items eliciting count responses are becoming increasingly common in psychology. This study proposes methodological techniques to overcome some of the challenges associated with analyzing multivariate item response data that exhibit zero inflation, maximum inflation, and heaping at preferred digits. The modeling…
Descriptors: Item Response Theory, Models, Multivariate Analysis, Questionnaires
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Gonzalez-Roma, Vicente; Hernandez, Ana; Gomez-Benito, Juana – Multivariate Behavioral Research, 2006
In this simulation study, we investigate the power and Type I error rate of a procedure based on the mean and covariance structure analysis (MACS) model in detecting differential item functioning (DIF) of graded response items with five response categories. The following factors were manipulated: type of DIF (uniform and non-uniform), DIF…
Descriptors: Multivariate Analysis, Item Response Theory, Test Bias, Sample Size