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Mixture Distribution Rasch Models
1995This chapter deals with the generalization of the Rasch model to a discrete mixture distribution model. Its basic assumption is that the Rasch model holds within subpopulations of individuals, but with different parameter values in each subgroup. These subpopulations are not defined by manifest indicators, rather they have to be identified by applying ...
Jürgen Rost, Matthias von Davier
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Mixture-Distribution and HYBRID Rasch Models
2007This chapter provides an overview of mixture-distribution Rasch models (RMs) and HYBRID RMs and their extensions. Discrete mixture-distribution IRT models assume that the observed data were drawn from an unobservable mixture of populations. Within each of these populations, a different item response model may hold (HYBRID models), or models with ...
Matthias von Davier, Kentaro Yamamoto
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A Mixture Rasch Model With a Covariate
Applied Psychological Measurement, 2013Mixtures of item response theory (IRT) models have been proposed as a technique to explore response patterns in test data related to cognitive strategies, instructional sensitivity, and differential item functioning (DIF). Estimation proves challenging due to difficulties in identification and questions of effect size needed to recover underlying ...
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Loglinear Multivariate and Mixture Rasch Models
2007In this chapter, Rasch models (RMs) are derived from a stochastic subject model. Fixed-effects RMs are shown to be equivalent to loglinear models with raw-score variables; random-effects RMs are equivalent to loglinear models with latent class variables. Within the larger framework of loglinear models, various extensions of the RM can be formulated. We
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Testing the Rasch model by means of the mixture fit index
British Journal of Mathematical and Statistical Psychology, 2006proposed a new index of fit for contingency table analysis. Using the overparametrized two‐component mixture, where the first component with weight 1− w represents the model to be tested and the second component with weight w is unstructured, the ...
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The Impact of Multidimensionality on Extraction of Latent Classes in Mixture Rasch Models
Journal of Educational Measurement, 2018AbstractThis study investigates the effect of multidimensionality on extraction of latent classes in mixture Rasch models. In this study, two‐dimensional data were generated under varying conditions. The two‐dimensional data sets were analyzed with one‐ to five‐class mixture Rasch models. Results of the simulation study indicate the mixture Rasch model
Yoonsun Jang +2 more
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Survey analysis with mixture Rasch models.
Journal of applied measurement, 2014This research provides a demonstration of the utility of mixture Rasch models (MRMs) for the analysis of survey data. Specifically, a framework based on a mixture partial credit model (MPCM) will be presented. MRMs are able to provide information regarding latent classes (subpopulations without manifest grouping variables) and separate item parameter ...
Andrew D, Dallas, John T, Willse
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The Impact of Various Class-Distinction Features on Model Selection in the Mixture Rasch Model
The Journal of Experimental Education, 2016ABSTRACTThe purpose of the current study is to examine the performance of four information criteria (Akaike's information criterion [AIC], corrected AIC [AICC] Bayesian information criterion [BIC], sample-size adjusted BIC [SABIC]) for detecting the correct number of latent classes in the mixture Rasch model through simulations.
In-Hee Choi, Insu Paek, Sun-Joo Cho
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Measuring Middle Grades Teachers' Understanding of Rational Numbers with the Mixture Rasch Model
The Elementary School Journal, 2010Abstract We report the development of a multiple-choice instrument that measures the mathematical knowledge needed for teaching arithmetic with fractions, decimals, and proportions. In particular, the instrument emphasizes the knowledge needed to reason about such arithmetic when numbers are embedded in problem situations.
Andrew Izsák +3 more
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Analyzing Job Analysis Data Using Mixture Rasch Models
International Journal of Testing, 2018An important piece of validity evidence to support the use of credentialing exams comes from performing a job analysis of the profession.
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