Equipercentile equating is an alternative version of observed score equating that can accommodate non-normal response distributions. It corrects for differences in mean and standard deviation but also higher distribution moments, such as skewness and kurtosis. This helps harmonize instruments, where, for example, respondents mostly choose high (or low) response options.
New blog post: Dr. Ranjit K. Singh writes about the accommodation of non-normal response distributions
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