On the Use of Nonparametric Item Characteristic Curve Estimation Techniques for Checking Parametric Model Fit

被引:12
|
作者
Lee, Young-Sun [1 ]
Wollack, James A. [2 ]
Douglas, Jeffrey [3 ]
机构
[1] Columbia Univ, Dept Human Dev, Teachers Coll, New York, NY 10027 USA
[2] Univ Wisconsin, Madison, WI 53706 USA
[3] Univ Illinois, Urbana, IL 61801 USA
关键词
nonparametric item response theory; model fit; kernel smoothing; isotonic regression; item characteristic curve estimation; REGRESSION; ABILITY; CONSISTENCY;
D O I
10.1177/0013164408322026
中图分类号
G44 [教育心理学];
学科分类号
0402 ; 040202 ;
摘要
The purpose of this study was to assess the model fit of a 2PL through comparison with the nonparametric item characteristic curve (ICC) estimation procedures. Results indicate that three nonparametric procedures implemented produced ICCs that are similar to that of the 2PL for items simulated to fit the 2PL. However for misfitting items, especially nonmonotone items, the greatest difference is between the 2PL and kernel smoothing procedures. In general, the differences between ICCs from the nonparametric procedures and the 2PL are reduced as both sample size and test length increase. The false positive rate of the test for model fit is promising for nonparametric ICC estimation methods. Power to detect misfitting items simulated with 4PL is low. Power to detect nonmonotone items is generally much higher. Power is best for kernel smoothing but also good for isotonic regression in the medium to large sample sizes and longer test length conditions. Power for the smoothed isotonic regression is uniformly low.
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页码:181 / 197
页数:17
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