The Standardized S-X ² Statistic for Assessing Item Fit.

IF 1 4区心理学 Q4 PSYCHOLOGY, MATHEMATICAL

Applied Psychological Measurement Pub Date : 2023-01-01 Epub Date: 2022-09-17 DOI:10.1177/01466216221108077

Zhuangzhuang Han, Sandip Sinharay, Matthew S Johnson, Xiang Liu

引用次数: 1

Abstract

The S-X ² statistic (Orlando & Thissen, 2000) is popular among researchers and practitioners who are interested in the assessment of item fit. However, the statistic suffers from the Chernoff-Lehmann problem (Chernoff & Lehmann, 1954) and hence does not have a known asymptotic null distribution. This paper suggests a modified version of the S-X ² statistic that is based on the modified Rao-Robson χ ² statistic (Rao & Robson, 1974). A simulation study and a real data analyses demonstrate that the use of the modified statistic instead of the S-X ² statistic would lead to fewer items being flagged for misfit.

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用于评估项目契合度的标准化 S-X 2 统计量。

S-X 2 统计量（Orlando & Thissen，2000 年）深受对项目拟合度评估感兴趣的研究人员和从业人员的欢迎。然而，该统计量存在 Chernoff-Lehmann 问题（Chernoff & Lehmann, 1954），因此没有已知的渐近零分布。本文提出了一种基于修正的 Rao-Robson χ 2 统计量（Rao & Robson，1974 年）的修正版 S-X 2 统计量。一项模拟研究和一项真实数据分析表明，使用修正统计量而不是 S-X 2 统计量将会导致更少的项目被标记为不匹配。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Psychological Measurement Multiple-

CiteScore

2.30

自引率

8.30%

发文量

期刊介绍： Applied Psychological Measurement publishes empirical research on the application of techniques of psychological measurement to substantive problems in all areas of psychology and related disciplines.

The Standardized S-X 2 Statistic for Assessing Item Fit.

Abstract

The Standardized S-X ² Statistic for Assessing Item Fit.