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The purpose of this study was to apply the bootstrap procedure to evaluate how the bootstrapped confidence intervals (CIs) for polytomous Rasch fit statistics might differ according to sample sizes and test lengths in comparison with the rule-of-thumb critical value of misfit. A total of 25 simulated data sets were generated to fit the Rasch measurement and… (More)
This study examined five Rasch-model-based item-fit indices: unweighted and weighted standardized indices (denoted UWz and Wz), standardized likelihood index (denoted Lz), and Extended Caution Indices (denoted ECI2z and ECI4z), in terms of their distributional properties and the power of detecting item bias or Differential Item Functioning (DIF). The… (More)