NUTS for Mixture IRT Models

The effects of three scale identification constraints in mixture IRT models were studied. A simulation study found no constraint effect on the mixture Rasch and mixture 2PL models, but the item anchoring constraint was the only one that worked well on selecting correct model with the mixture 3PL model.

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A Multilevel Mixture IRT Framework for Modeling Response Times as Predictors or Indicators of Response Engagement in IRT Models

Educational and Psychological Measurement ◽

10.1177/00131644211045351 ◽

2021 ◽

pp. 001316442110453

Author(s):

Gabriel Nagy ◽

Esther Ulitzsch

Keyword(s):

Large Scale ◽

Latent Class ◽

Response Times ◽

Marginal Maximum Likelihood ◽

Irt Model ◽

Large Scale Data ◽

Irt Models ◽

Mixture Irt ◽

Item Parameters ◽

Item Responses

Disengaged item responses pose a threat to the validity of the results provided by large-scale assessments. Several procedures for identifying disengaged responses on the basis of observed response times have been suggested, and item response theory (IRT) models for response engagement have been proposed. We outline that response time-based procedures for classifying response engagement and IRT models for response engagement are based on common ideas, and we propose the distinction between independent and dependent latent class IRT models. In all IRT models considered, response engagement is represented by an item-level latent class variable, but the models assume that response times either reflect or predict engagement. We summarize existing IRT models that belong to each group and extend them to increase their flexibility. Furthermore, we propose a flexible multilevel mixture IRT framework in which all IRT models can be estimated by means of marginal maximum likelihood. The framework is based on the widespread Mplus software, thereby making the procedure accessible to a broad audience. The procedures are illustrated on the basis of publicly available large-scale data. Our results show that the different IRT models for response engagement provided slightly different adjustments of item parameters of individuals’ proficiency estimates relative to a conventional IRT model.

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Robustness of Mixture IRT Models to Violations of Latent Normality

Quantitative Psychology Research - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-07503-7_3 ◽

2015 ◽

pp. 27-43 ◽

Cited By ~ 3

Author(s):

Sedat Sen ◽

Allan S. Cohen ◽

Seock-Ho Kim

Keyword(s):

Irt Models ◽

Mixture Irt

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New Evidence on the Construct Validity of the ASI-3 and the Dimensional Conceptualization of Trait Anxiety Sensitivity From IRT Modeling

European Journal of Psychological Assessment ◽

10.1027/1015-5759/a000284 ◽

2017 ◽

Vol 33 (3) ◽

pp. 181-189 ◽

Cited By ~ 2

Author(s):

Christoph J. Kemper ◽

Michael Hock

Keyword(s):

Construct Validity ◽

Anxiety Sensitivity ◽

Latent Class ◽

Dimensional Structure ◽

Sensitivity Index ◽

Response Scale ◽

Established Risk Factor ◽

Irt Models ◽

Level Data ◽

Extreme Response

Abstract. Anxiety Sensitivity (AS) denotes the tendency to fear anxiety-related sensations. Trait AS is an established risk factor for anxiety pathology. The Anxiety Sensitivity Index-3 (ASI-3) is a widely used measure of AS and its three most robust dimensions with well-established construct validity. At present, the dimensional conceptualization of AS, and thus, the construct validity of the ASI-3 is challenged. A latent class structure with two distinct and qualitatively different forms, an adaptive form (normative AS) and a maladaptive form (AS taxon, predisposing for anxiety pathology) was postulated. Item Response Theory (IRT) models were applied to item-level data of the ASI-3 in an attempt to replicate previous findings in a large nonclinical sample (N = 2,603) and to examine possible interpretations for the latent discontinuity observed. Two latent classes with a pattern of distinct responses to ASI-3 items were found. However, classes were indicative of participant’s differential use of the response scale (midpoint and extreme response style) rather than differing in AS content (adaptive and maladaptive AS forms). A dimensional structure of AS and the construct validity of the ASI-3 was supported.

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