Models for Polytomous Responses

2015 ◽  
pp. 323-348
Author(s):  
Michael Friendly ◽  
David Meyer ◽  
Achim Zeileis
Keyword(s):  
Polytomous Responses

Locally dependent latent trait model for polytomous responses with application to inventory of hostility

Psychometrika ◽  
2004 ◽  
Vol 69 (2) ◽  
pp. 191-216 ◽  
Author(s):  
Edward H. Ip ◽  
Yuchung J. Wang ◽  
Paul de Boeck ◽  
Michel Meulders
Keyword(s):  
Latent Trait ◽  
Latent Trait Model ◽  
Trait Model ◽  
Polytomous Responses

scholarly journals The Bipolarity of Attitudes: Unfolding the Implications of Ambivalence

2018 ◽  
Vol 43 (3) ◽  
pp. 211-225
Author(s):  
Joshua A. McGrane
Keyword(s):  
Item Response ◽  
Theory Model ◽  
Bivariate Model ◽  
Middle Point ◽  
Conventional View ◽  
Hyperbolic Cosine ◽  
Per Se ◽  
Polytomous Responses ◽  
Psychometric Evidence ◽  
Bivariate Approach

Recently, some attitude researchers have argued that the traditional bipolar model of attitudes should be replaced, claiming that a bivariate model is superior in several ways, foremost of which is its ability to account for ambivalent attitudes. This study argues that ambivalence is not at odds with bipolarity per se, but rather the conventional view of bipolarity, and that the psychometric evidence supporting a bivariate interpretation has been flawed. To demonstrate this, a scale developed out of the bivariate approach was examined using a unidimensional unfolding item response theory model: general hyperbolic cosine model for polytomous responses. The results were consistent with a bipolar interpretation, providing support for the argument that ambivalent evaluations are the correct middle-point of a bipolar evaluative dimension. Thus, it is argued that attitudinal ambivalence does not necessitate moving beyond bipolarity, but rather, moving beyond the conventional conceptualization and assessment of attitudes.

scholarly journals Estimation of an IRT Model by Mplus for Dichotomously Scored Responses Under Different Estimation Methods

2017 ◽  
Vol 78 (4) ◽  
pp. 569-588 ◽  
Author(s):  
Insu Paek ◽  
Mengyao Cui ◽  
Neşe Öztürk Gübeş ◽  
Yanyun Yang
Keyword(s):  
Practical Interest ◽  
Estimation Methods ◽  
Binary Response ◽  
Model Parameters ◽  
Irt Model ◽  
Accessible Information ◽  
Item Factor Analysis ◽  
Polytomous Responses ◽  
Response Modeling ◽  
Two Parameter

The purpose of this article is twofold. The first is to provide evaluative information on the recovery of model parameters and their standard errors for the two-parameter item response theory (IRT) model using different estimation methods by Mplus. The second is to provide easily accessible information for practitioners, instructors, and students about the relationships between IRT and item factor analysis (FA) parameterizations. Specifically, this is done using the “Theta” and “Delta” parameterizations in Mplus for unidimensional and multidimensional modeling with dichotomous and polytomous responses with and without the scaling constant D. The first objective aims at investigating differences that may occur when using different estimation methods in Mplus for binary response modeling. The second objective was motivated by practical interest observed among graduate students and applied researchers. The relations between IRT and Mplus FA “Theta” and “Delta” parameterizations are described using expressions without the use of matrices, which can be understood efficiently by applied researchers and students.

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