Detection of differential item functioning under the graded response model with the likelihood ratio test

Detection of differential item functioning under the graded response model with the likelihood ratio test
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DOI:
10.1177/014662169802200403
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发表时间:
1998-12-01
影响因子:
1.2
通讯作者:
Cohen, AS
Cohen, AS
中科院分区:
心理学4区
文献类型:
--
作者:
Kim, SH;Cohen, AS

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使用蒙特卡罗模拟研究了用于检测差异项目功能(DIF)的似然比检验的I型错误率。使用具有五个有序类别的分级反应模型来生成300和1,000个模拟受试者样本的30项测试的数据集。所有的DIF比较都是通过随机配对两组受试者来模拟的。在两种能力匹配条件下,模拟了参考组和焦点组的三种不同样本量组合。对于通过能力匹配条件的样本量的六种组合中的每一种,模拟100次重复的DIF检测比较。项目参数估计值和似然值获得边际最大似然估计使用计算机程序MULTIBERY。在考虑的每个标称α水平下,所有6种样本量和能力匹配条件组合的似然比检验统计量的I型错误率均在理论预期值范围内。
Type I error rates of the likelihood ratio test for the detection of differential item functioning (DIF) were investigated using monte carlo simulations. The graded response model with five ordered categories was used to generate datasets of a 30-item test for samples of 300 and 1,000 simulated examinees. All DIF comparisons were simulated by randomly pairing two groups of examinees. Three different sample size combinations of reference and focal groups were simulated under two ability matching conditions. For each of the six combinations of sample sizes by ability matching conditions, 100 replications of DIF detection comparisons were simulated. Item parameter estimates and likelihood values were obtained by marginal maximum likelihood estimation using the computer program MULTILOG. Type I error rates of the likelihood ratio test statistics for all six combinations of sample sizes and ability matching conditions were within theoretically expected values at each of the nominal alpha levels considered.