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CONDITIONAL COVARIANCE THEORY AND DETECT FOR POLYTOMOUS ITEMS

ETS Research Report Series, 2004
ABSTRACTThis paper extends the theory of conditional covariances to polytomous items. It has been mathematically proven that under some mild conditions, commonly assumed in the analysis of response data, the conditional covariance of two items, dichotomously or polytomously scored, is positive if the two items are dimensionally homogeneous and negative
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MIMIC Methods for Assessing Differential Item Functioning in Polytomous Items

Applied Psychological Measurement, 2010
Three multiple indicators—multiple causes (MIMIC) methods, namely, the standard MIMIC method (M-ST), the MIMIC method with scale purification (M-SP), and the MIMIC method with a pure anchor (M-PA), were developed to assess differential item functioning (DIF) in polytomous items.
Wen-Chung Wang, Ching-Lin Shih
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Optimal test designs for polytomously scored items

British Journal of Mathematical and Statistical Psychology, 1997
As achievement testing gained currency in educational and psychological measurement, and item response theory (IRT) models were used more frequently to analyse such test data, the need for more efficient test designs became urgent. The results from the statistical theory on optimal design can be applied to the assembly of achievement tests by means of ...
Berger, Martijn P. F., Mathijssen, Eric
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Polytomous item scores and Guttman dependence

British Journal of Mathematical and Statistical Psychology, 1999
Some theoretical relations are established between the score on a polytomous item and the total score on a set of Guttman dependent binary items. Conditions are derived under which these two scores are identically distributed. Application of the theoretical results to three well‐known models for polytomous data yields, among others, the result that the
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DIF Identification Using HGLM for Polytomous Items

Applied Psychological Measurement, 2006
The relationship between the hierarchical generalized linear model (HGLM) and item response theory (IRT) models has been demonstrated for dichotomous items. The current study demonstrated the use of the HGLM for polytomous items (termed PHGLM) for identification of differential item functioning (DIF).
Natasha J. Williams, S. Natasha Beretvas
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Cognitive Diagnostic Computerized Adaptive Testing for Polytomously Scored Items

Journal of Classification, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Xuliang   +3 more
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Detecting DIF in polytomous item responses.

2009
Use of polytomously scored items in educational tests is becoming increasingly common with new types of assessments such as performance assessment It is believed that performance assessment provides more equitable approaches to testing than traditional multiple-choice tests.
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Loglinear Multidimensional Item Response Models for Polytomously Scored Items

1997
Over the last decade, there has been increasing interest in analyzing mental test data with loglinear models. Several authors have shown that the Rasch model for dichotomously scored items can be formulated as a loglinear model (Cressie and Holland, 1983; de Leeuw and Verhelst, 1986; Kelderman, 1984; Thissen and Mooney, 1989; Tjur, 1982). Because there
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Relationships and Properties of Polytomous Item Response Theory Models

Applied Psychological Measurement, 2001
Relationships among twenty polytomous item response theory (IRT) models (parametric and nonparametric) and eight measurement properties relevant to polytomous IRT are described. Three tables are provided to assist in choice of an appropriate model, and examples demonstrate the use of the models in test construction.
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Handbook of Polytomous Item Response Theory Models

2011
Focuses on the most used polytomous item response theory (IRT) models. This book reviews the major models and includes discussions about how and where the models originated, conceptually and in practical terms.
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