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Magis, David – Applied Psychological Measurement, 2013
This article focuses on four-parameter logistic (4PL) model as an extension of the usual three-parameter logistic (3PL) model with an upper asymptote possibly different from 1. For a given item with fixed item parameters, Lord derived the value of the latent ability level that maximizes the item information function under the 3PL model. The…
Descriptors: Item Response Theory, Models, Statistical Analysis, Algebra
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Moses, Tim; von Davier, Alina – Applied Psychological Measurement, 2011
Polynomial loglinear models for one-, two-, and higher-way contingency tables have important applications to measurement and assessment. They are essentially regarded as a smoothing technique, which is commonly referred to as loglinear smoothing. A SAS IML (SAS Institute, 2002a) macro was created to implement loglinear smoothing according to…
Descriptors: Statistical Analysis, Computer Software, Algebra, Mathematical Formulas