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- W3208798112 abstract "The generalized [Formula: see text]–test is a test of item fit for items with polytomous responses format. The test is based on a comparison of the observed and expected number of responses in strata defined by the test score. In this article, we make four contributions. We demonstrate that the performance of the generalized [Formula: see text]–test depends on how sparse cells are pooled. We propose alternative implementations of the test within the framework of limited information testing. We derive the distribution of the [Formula: see text]–residuals that can be used for post hoc analyses. We suggest a diagnostic plot that visualizes the form of the misfit. The performance of the alternative implementations is investigated in a simulation study. The simulation study suggests that the alternative implementations are capable of controlling the Type-I error rate well and have high power. An empirical application concludes this article." @default.
- W3208798112 created "2021-11-08" @default.
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- W3208798112 date "2021-10-25" @default.
- W3208798112 modified "2023-09-27" @default.
- W3208798112 title "On the Generalized S−X2–Test of Item Fit: Some Variants, Residuals, and a Graphical Visualization" @default.
- W3208798112 doi "https://doi.org/10.3102/10769986211050304" @default.
- W3208798112 hasPublicationYear "2021" @default.
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