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Applied Psychological Measurement
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A Comparison of Methods for Nonparametric Estimation of Item Characteristic Curves for Binary Items

Young-Sun Lee

Teachers College, Columbia University

This study compares the performance of three nonparametric item characteristic curve (ICC) estimation procedures: isotonic regression, smoothed isotonic regression, and kernel smoothing. Smoothed isotonic regression, employed along with an appropriate kernel function, provides better estimates and also satisfies the assumption of strict monotonicity. As the number of items and the sample size increase, the kernel smoothing and smoothed isotonic regression ICC estimation procedures yield similar results across all conditions.

Key Words: isotonic regression • kernel smoothing • nonparametric item response model • item response theory

Applied Psychological Measurement, Vol. 31, No. 2, 121-134 (2007)
DOI: 10.1177/0146621606290248
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 Educational and Psychological MeasurementHome page
Y.-S. Lee, J. A. Wollack, and J. Douglas
On the Use of Nonparametric Item Characteristic Curve Estimation Techniques for Checking Parametric Model Fit
Educational and Psychological Measurement, April 1, 2009; 69(2): 181 - 197.
[Abstract] [PDF]