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Huang, Sijia; Luo, Jinwen; Cai, Li – Educational and Psychological Measurement, 2023
Random item effects item response theory (IRT) models, which treat both person and item effects as random, have received much attention for more than a decade. The random item effects approach has several advantages in many practical settings. The present study introduced an explanatory multidimensional random item effects rating scale model. The…
Descriptors: Rating Scales, Item Response Theory, Models, Test Items
Kao, Jenny C.; Rivera, Nichole M.; Clemens, Brettany; Cai, Li – National Center for Research on Evaluation, Standards, and Student Testing (CRESST), 2018
This report is the fourth in a series considering career-readiness factors within existing high school assessments. The primary goal of this study was to provide a preliminary validation of the career-readiness features identified in prior reports by exploring how different participant groups with different levels of experience in the…
Descriptors: Career Readiness, Test Validity, Student Evaluation, High School Students
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Paek, Insu; Cai, Li – Educational and Psychological Measurement, 2014
The present study was motivated by the recognition that standard errors (SEs) of item response theory (IRT) model parameters are often of immediate interest to practitioners and that there is currently a lack of comparative research on different SE (or error variance-covariance matrix) estimation procedures. The present study investigated item…
Descriptors: Item Response Theory, Comparative Analysis, Error of Measurement, Computation
Cai, Li – National Center for Research on Evaluation, Standards, and Student Testing (CRESST), 2013
Lord and Wingersky's (1984) recursive algorithm for creating summed score based likelihoods and posteriors has a proven track record in unidimensional item response theory (IRT) applications. Extending the recursive algorithm to handle multidimensionality is relatively simple, especially with fixed quadrature because the recursions can be defined…
Descriptors: Mathematics, Scores, Item Response Theory, Computation
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Paek, Insu; Park, Hyun-Jeong; Cai, Li; Chi, Eunlim – Educational and Psychological Measurement, 2014
Typically a longitudinal growth modeling based on item response theory (IRT) requires repeated measures data from a single group with the same test design. If operational or item exposure problems are present, the same test may not be employed to collect data for longitudinal analyses and tests at multiple time points are constructed with unique…
Descriptors: Item Response Theory, Comparative Analysis, Test Items, Equated Scores