Asymptotic null distribution of person fit statistics with estimated person parameter

DOI10.1007/BF02294437zbMath1293.62257OpenAlexW2129695702MaRDI QIDQ2511841

Tom A. B. Snijders

Publication date: 6 August 2014

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294437

zbMATH Keywords

item response theoryasymptotic approximationsperson fit

Mathematics Subject Classification ID

Point estimation (62F10) Applications of statistics to psychology (62P15)

Related Items (8)

Asymptotically correct standardization of person-fit statistics beyond dichotomous items ⋮ Using item scores and response times in person‐fit assessment ⋮ The choice of the ability estimate with asymptotically correct standardized person‐fit statistics ⋮ Power divergence family of statistics for person parameters in IRT models ⋮ Geospatial distribution of alcohol-related violence in Northern Virginia ⋮ A person fit test for IRT models for polytomous items ⋮ Asymptotically corrected person fit statistics for multidimensional constructs with simple structure and mixed item types ⋮ Adjusting person fit index for skewness in cognitive diagnosis modeling

Cites Work

• Approximating the conditional distribution of person fit indexes for checking the Rasch model
• The asymptotic posterior normality of the latent trait in an IRT model
• Optimal appropriateness measurement
• Approximation Theorems of Mathematical Statistics
• Linear Statistical Inference and its Applications
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