Local independence is a central assumption of commonly used item response theory models. Violations of this assumption are usually tested using test statistics based on item pairs. This study presents two quasi-exact tests based on the Q 3 statistic for testing the hypothesis of local independence in the Rasch model. The proposed tests do not require the estimation of item parameters and can also be applied to small data sets. The authors evaluate the tests with three simulation studies. Their results indicate that the quasi-exact tests hold their alpha level under the Rasch model and have higher power against different forms of local dependence than several alternative parametric and nonparametric model tests for local independence.

中文翻译：

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使用基于Q 3的非参数模型检验来测试Rasch模型的局部独立性假设。

局部独立性是常用项目响应理论模型的中心假设。通常使用基于项目对的测试统计数据来测试是否违反此假设。这项研究提出了两个基于Q 3统计量的准精确检验，用于检验Rasch模型中局部独立性的假设。建议的测试不需要估计项目参数，也可以应用于小型数据集。作者通过三个仿真研究评估了测试。他们的结果表明，准精确检验在Rasch模型下保持其alpha等级，并且比针对局部独立性的几种替代参数和非参数模型检验对不同形式的局部依赖具有更高的功效。