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Raykov, Tenko – Measurement: Interdisciplinary Research and Perspectives, 2023
This software review discusses the capabilities of Stata to conduct item response theory modeling. The commands needed for fitting the popular one-, two-, and three-parameter logistic models are initially discussed. The procedure for testing the discrimination parameter equality in the one-parameter model is then outlined. The commands for fitting…
Descriptors: Item Response Theory, Models, Comparative Analysis, Item Analysis
Raykov, Tenko; Dimitrov, Dimiter M.; Marcoulides, George A.; Harrison, Michael – Educational and Psychological Measurement, 2019
Building on prior research on the relationships between key concepts in item response theory and classical test theory, this note contributes to highlighting their important and useful links. A readily and widely applicable latent variable modeling procedure is discussed that can be used for point and interval estimation of the individual person…
Descriptors: True Scores, Item Response Theory, Test Items, Test Theory
Raykov, Tenko; Marcoulides, George A.; Pusic, Martin – Measurement: Interdisciplinary Research and Perspectives, 2021
An interval estimation procedure is discussed that can be used to evaluate the probability of a particular response for a binary or binary scored item at a pre-specified point along an underlying latent continuum. The item is assumed to: (a) be part of a unidimensional multi-component measuring instrument that may contain also polytomous items,…
Descriptors: Item Response Theory, Computation, Probability, Test Items
Raykov, Tenko; Marcoulides, George A. – Educational and Psychological Measurement, 2020
This note raises caution that a finding of a marked pseudo-guessing parameter for an item within a three-parameter item response model could be spurious in a population with substantial unobserved heterogeneity. A numerical example is presented wherein each of two classes the two-parameter logistic model is used to generate the data on a…
Descriptors: Guessing (Tests), Item Response Theory, Test Items, Models
Raykov, Tenko; DiStefano, Christine – Educational and Psychological Measurement, 2021
The frequent practice of overall fit evaluation for latent variable models in educational and behavioral research is reconsidered. It is argued that since overall plausibility does not imply local plausibility and is only necessary for the latter, local misfit should be considered a sufficient condition for model rejection, even in the case of…
Descriptors: Goodness of Fit, Models, Educational Research, Behavioral Science Research
Raykov, Tenko; Pusic, Martin – Educational and Psychological Measurement, 2023
This note is concerned with evaluation of location parameters for polytomous items in multiple-component measuring instruments. A point and interval estimation procedure for these parameters is outlined that is developed within the framework of latent variable modeling. The method permits educational, behavioral, biomedical, and marketing…
Descriptors: Item Analysis, Measurement Techniques, Computer Software, Intervals
Raykov, Tenko; Dimitrov, Dimiter M.; Marcoulides, George A.; Harrison, Michael – Educational and Psychological Measurement, 2019
This note highlights and illustrates the links between item response theory and classical test theory in the context of polytomous items. An item response modeling procedure is discussed that can be used for point and interval estimation of the individual true score on any item in a measuring instrument or item set following the popular and widely…
Descriptors: Correlation, Item Response Theory, Test Items, Scores
Raykov, Tenko; Marcoulides, George A.; Huber, Chuck – Measurement: Interdisciplinary Research and Perspectives, 2020
It is demonstrated that the popular three-parameter logistic model can lead to markedly inaccurate individual ability level estimates for mixture populations. A theoretically and empirically important setting is initially considered where (a) in one of two subpopulations (latent classes) the two-parameter logistic model holds for each item in a…
Descriptors: Item Response Theory, Models, Measurement Techniques, Item Analysis
Raykov, Tenko; Dimitrov, Dimiter M.; Marcoulides, George A.; Li, Tatyana; Menold, Natalja – Educational and Psychological Measurement, 2018
A latent variable modeling method for studying measurement invariance when evaluating latent constructs with multiple binary or binary scored items with no guessing is outlined. The approach extends the continuous indicator procedure described by Raykov and colleagues, utilizes similarly the false discovery rate approach to multiple testing, and…
Descriptors: Models, Statistical Analysis, Error of Measurement, Test Bias
Raykov, Tenko; Marcoulides, George A. – Educational and Psychological Measurement, 2016
The frequently neglected and often misunderstood relationship between classical test theory and item response theory is discussed for the unidimensional case with binary measures and no guessing. It is pointed out that popular item response models can be directly obtained from classical test theory-based models by accounting for the discrete…
Descriptors: Test Theory, Item Response Theory, Models, Correlation
Raykov, Tenko; Marcoulides, George A. – Educational and Psychological Measurement, 2018
This article outlines a procedure for examining the degree to which a common factor may be dominating additional factors in a multicomponent measuring instrument consisting of binary items. The procedure rests on an application of the latent variable modeling methodology and accounts for the discrete nature of the manifest indicators. The method…
Descriptors: Measurement Techniques, Factor Analysis, Item Response Theory, Likert Scales