ArticlePsychometrika2012
The Heteroscedastic Graded Response Model with a Skewed Latent Trait: Testing Statistical and Substantive Hypotheses Related to Skewed Item Category Functions.
Article in Psychometrika, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- Joint modeling with generalized item response theory model family and response time model: Enhancing model structural flexibility and data-fitting adequacy.Behavior research methods · 2025Article
- A Definition of a Heywood Case in Item Response Theory Based on Fisher Information.Entropy (Basel, Switzerland) · 2024Article
- Exploring the Multiverse of Analytical Decisions in Scaling Educational Large-Scale Assessment Data: A Specification Curve Analysis for PISA 2018 Mathematics Data.European journal of investigation in health, psychology and education · 2022Article
- On the Choice of the Item Response Model for Scaling PISA Data: Model Selection Based on Information Criteria and Quantifying Model Uncertainty.Entropy (Basel, Switzerland) · 2022Article
- A stochastic approximation expectation maximization algorithm for estimating Ramsay-curve three-parameter normal ogive model with non-normal latent trait distributions.Frontiers in psychology · 2022Article
- Matching IRT Models to Patient-Reported Outcomes Constructs: The Graded Response and Log-Logistic Models for Scaling Depression.Psychometrika · 2021Review
- Optimal Examination Sites for Periodontal Disease Evaluation: Applying the Item Response Theory Graded Response Model.Journal of clinical medicine · 2020Article
- The Monotonic Polynomial Graded Response Model: Implementation and a Comparative Study.Applied psychological measurement · 2020Article
- A study of alternative approaches to non-normal latent trait distributions in item response theory models used for health outcome measurement.Statistical methods in medical research · 2020Article
- Developing a Computerized Adaptive Test to Assess Stress in Chinese College Students.Frontiers in psychology · 2020Article
- Psychometric Properties of the SAS, BAI, and S-AI in Chinese University Students.Frontiers in psychology · 2019Article
- Development of a Computerized Adaptive Testing for Internet Addiction.Frontiers in psychology · 2019Article
- A Zero-Inflated Box-Cox Normal Unipolar Item Response Model for Measuring Constructs of Psychopathology.Applied psychological measurement · 2018Article
- Asymmetric Item Characteristic Curves and Item Complexity: Insights from Simulation and Real Data Analyses.Psychometrika · 2018Article
- A more general model for testing measurement invariance and differential item functioning.Psychological methods · 2017Article
- A heteroscedastic generalized linear model with a non-normal speed factor for responses and response times.The British journal of mathematical and statistical psychology · 2017Article
- Asymptotic Robustness Study of the Polychoric Correlation Estimation.Psychometrika · 2017Article
- Heteroscedastic Latent Trait Models for Dichotomous Data.Psychometrika · 2015Article
- Alternative Approaches to Addressing Non-Normal Distributions in the Application of IRT Models to Personality Measures.Journal of personality assessmentArticle
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3 authors.
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Abstract
The Graded Response Model (GRM; Samejima, Estimation of ability using a response pattern of graded scores, Psychometric Monograph No. 17, Richmond, VA: The Psychometric Society, 1969) can be derived by assuming a linear regression of a continuous variable, Z, on the trait, θ, to underlie the ordinal item scores (Takane & de Leeuw in Psychometrika, 52:393-408, 1987). Traditionally, a normal distribution is specified for Z implying homoscedastic error variances and a normally distributed θ. In this paper, we present the Heteroscedastic GRM with Skewed Latent Trait, which extends the traditional GRM by incorporation of heteroscedastic error variances and a skew-normal latent trait. An appealing property of the extended GRM is that it includes the traditional GRM as a special case. This enables specific tests on the normality assumption of Z. We show how violations of normality in Z can lead to asymmetrical category response functions. The ability to test this normality assumption is beneficial from both a statistical and substantive perspective. In a simulation study, we show the viability of the model and investigate the specificity of the effects. We apply the model to a dataset on affect and a dataset on alexithymia.
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