For the construction of tests and questionnaires that require multiple raters (e.g., a child behaviour checklist completed by both parents) a novel ordinal scaling technique is currently being further developed, called two‐level Mokken scale analysis. The technique uses within‐rater and between‐rater coefficients to assess the scalability of the test. These coefficients are generalizations of Mokken's scalability coefficients. In this paper we derived standard errors for the two‐level coefficients and for their ratios. The coefficients, the estimates, the estimated standard errors and the software implementation are discussed and illustrated using a real‐data example, and a small‐scale simulation study demonstrates the accuracy of the estimates.

中文翻译：

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两级可伸缩系数的标准误差。

为了构建需要多个评估者的测试和问卷（例如，由父母双方完成的儿童行为清单），目前正在进一步开发一种新颖的有序缩放技术，称为两级Mokken规模分析。该技术使用评估者内部和评估者之间的系数来评估测试的可扩展性。这些系数是Mokken可伸缩性系数的概括。在本文中，我们导出了两级系数及其比率的标准误差。使用一个实际数据示例讨论并说明了系数，估计值，估计的标准误差和软件实现，并且小规模的仿真研究证明了估计的准确性。