AN UPPER ASYMPTOTE FOR THE THREE‐PARAMETER LOGISTIC ITEM‐RESPONSE MODEL*

Frederic M. Lord

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Psychometric Methodologies and Testing Educational Assessment and Pedagogy Educational Technology and Assessment

Abstract

ABSTRACT An upper‐asymptote parameter was added to the three‐parameter logistic item response model. This four‐parameter model was compared to the three‐parameter model on four data sets. The fourth parameter increased the likelihood in only two of the four sets. Ability estimates for the students were generally unchanged by the introduction of the fourth parameter.

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2012Applications of Item Response Theory To Practical Testing Problems

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2003How many IRT parameters does it take to model psychopathology items?2009Estimation of a four‐parameter item response theory model 2008I've Fallen and I Can't Get Up: Can High-Ability Students Recover From Early Mistakes in CAT?2015Revisiting the 4-Parameter Item Response Model: Bayesian Estimation and Application 2009On Interpreting the Model Parameters for the Three Parameter Logistic Model 2013A Note on the Item Information Function of the Four-Parameter Logistic Model 2010Measuring psychopathology with nonstandard item response theory models: Fitting the four-parameter model to the Minnesota Multiphasic Personality Inventory.2020Measuring economic competence of secondary school students in Germany

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