Standard errors of two-level scalability coefficients |
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Authors: | Letty Koopman Bonne J H Zijlstra L Andries van der Ark |
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Institution: | Research Institute of Child Development and Education, University of Amsterdam, The Netherlands |
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Abstract: | 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. |
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Keywords: | delta method multilevel test data nonparametric item response theory standard errors two-level scalability coefficients |
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