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Sengül Avsar, Asiye – Measurement: Interdisciplinary Research and Perspectives, 2020
In order to reach valid and reliable test scores, various test theories have been developed, and one of them is nonparametric item response theory (NIRT). Mokken Models are the most widely known NIRT models which are useful for small samples and short tests. Mokken Package is useful for Mokken Scale Analysis. An important issue about validity is…
Descriptors: Response Style (Tests), Nonparametric Statistics, Item Response Theory, Test Validity
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Powell, Marvin G.; Hull, Darrell M.; Beaujean, A. Alexander – Journal of Experimental Education, 2020
Randomized controlled trials are not always feasible in educational research, so researchers must use alternative methods to study treatment effects. Propensity score matching is one such method for observational studies that has shown considerable growth in popularity since it was first introduced in the early 1980s. This paper outlines the…
Descriptors: Probability, Scores, Observation, Educational Research
Ho, Andrew D.; Reardon, Sean F. – Grantee Submission, 2012
Test scores are commonly reported in a small number of ordered categories. Examples of such reporting include state accountability testing, Advanced Placement tests, and English proficiency tests. This paper introduces and evaluates methods for estimating achievement gaps on a familiar standard-deviation-unit metric using data from these ordered…
Descriptors: Achievement Gap, Scores, Computation, Classification
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Ho, Andrew D.; Reardon, Sean F. – Journal of Educational and Behavioral Statistics, 2012
Test scores are commonly reported in a small number of ordered categories. Examples of such reporting include state accountability testing, Advanced Placement tests, and English proficiency tests. This article introduces and evaluates methods for estimating achievement gaps on a familiar standard-deviation-unit metric using data from these ordered…
Descriptors: Achievement Gap, Scores, Computation, Classification
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van der Ark, L. Andries; Bergsma, Wicher P. – Psychometrika, 2010
In contrast to dichotomous item response theory (IRT) models, most well-known polytomous IRT models do not imply stochastic ordering of the latent trait by the total test score (SOL). This has been thought to make the ordering of respondents on the latent trait using the total test score questionable and throws doubt on the justifiability of using…
Descriptors: Scores, Nonparametric Statistics, Item Response Theory, Models
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Hessen, David J. – Psychometrika, 2005
In the present paper, a new family of item response theory (IRT) models for dichotomous item scores is proposed. Two basic assumptions define the most general model of this family. The first assumption is local independence of the item scores given a unidimensional latent trait. The second assumption is that the odds-ratios for all item-pairs are…
Descriptors: Item Response Theory, Scores, Test Items, Models