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Modeling Nonlinear Effects of Person-by-Item Covariates in Explanatory Item Response Models: Exploratory Plots and Modeling Using Smooth Functions
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Sun-Joo Cho; Amanda Goodwin; Matthew Naveiras; Paul De Boeck – Grantee Submission, 2024
Explanatory item response models (EIRMs) have been applied to investigate the effects of person covariates, item covariates, and their interactions in the fields of reading education and psycholinguistics. In practice, it is often assumed that the relationships between the covariates and the logit transformation of item response probability are…
Descriptors: Item Response Theory, Test Items, Models, Maximum Likelihood Statistics
Modeling Nonlinear Effects of Person-by-Item Covariates in Explanatory Item Response Models: Exploratory Plots and Modeling Using Smooth Functions
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Sun-Joo Cho; Amanda Goodwin; Matthew Naveiras; Paul De Boeck – Journal of Educational Measurement, 2024
Explanatory item response models (EIRMs) have been applied to investigate the effects of person covariates, item covariates, and their interactions in the fields of reading education and psycholinguistics. In practice, it is often assumed that the relationships between the covariates and the logit transformation of item response probability are…
Descriptors: Item Response Theory, Test Items, Models, Maximum Likelihood Statistics
Efficient Standard Errors in Item Response Theory Models for Short Tests
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Ippel, Lianne; Magis, David – Educational and Psychological Measurement, 2020
In dichotomous item response theory (IRT) framework, the asymptotic standard error (ASE) is the most common statistic to evaluate the precision of various ability estimators. Easy-to-use ASE formulas are readily available; however, the accuracy of some of these formulas was recently questioned and new ASE formulas were derived from a general…
Descriptors: Item Response Theory, Error of Measurement, Accuracy, Standards
Modeling Raindrop Size
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Johnson, Roger W.; Kliche, Donna V.; Smith, Paul L. – Journal of Statistics Education, 2015
Being able to characterize the size of raindrops is useful in a number of fields including meteorology, hydrology, agriculture and telecommunications. Associated with this article are data sets containing surface (i.e. ground-level) measurements of raindrop size from two different instruments and two different geographical locations. Students may…
Descriptors: Data Analysis, Meteorology, Weather, Measurement Techniques
On the Latent Regression Model of Item Response Theory. Research Report. ETS RR-07-12
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Antal, Tamás – ETS Research Report Series, 2007
Full account of the latent regression model for the National Assessment of Educational Progress is given. The treatment includes derivation of the EM algorithm, Newton-Raphson method, and the asymptotic standard errors. The paper also features the use of the adaptive Gauss-Hermite numerical integration method as a basic tool to evaluate…
Descriptors: Regression (Statistics), Item Response Theory, National Competency Tests, Evaluation Methods
Relevance Data for Language Models Using Maximum Likelihood.
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Bodoff, David; Wu, Bin; Wong, K. Y. Michael – Journal of the American Society for Information Science and Technology, 2003
Presents a preliminary empirical test of a maximum likelihood approach to using relevance data for training information retrieval parameters. Discusses similarities to language models; the unification of document-oriented and query-oriented views; tests on data sets; algorithms and scalability; and the effectiveness of maximum likelihood…
Descriptors: Algorithms, Information Retrieval, Mathematical Formulas, Maximum Likelihood Statistics