SAGE Journal Articles
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Article 1: Franke, T. M., Ho, T., & Christie, C. A. (2012). The chi-square test: Often used and more often misinterpreted. American Journal of Evaluation, 33, 448–458. doi:10.1177/1098214011426594
Summary: This article attempts to clarify any confusion about the uses and interpretations of the family of chi-square tests developed by Pearson, focusing primarily on the chi-square tests of independence and homogeneity of variance (identity of distributions).
Article 2: Suh, Y., & Cho, S. (2014). Chi-square difference tests for detecting differential functioning in a multidimensional IRT model: A Monte Carlo study. Applied Psychological Measurement, 38, 359–375. doi:10.1177/0146621614523116
Summary: The present study demonstrated systematic test procedures for detecting different types of GDIF and DIF in multidimensional tests.
Article 3: Johnston, J. E., Berry, K. J., & Mielke, P. W. (2006). Measures of effect size for chi-squared and likelihood-ratio goodness-of-fit tests. Perceptual and Motor Skills, 103, 412–414. doi:10.2466/pms.103.2.412-414
Summary: This article presents measures of effect size for the chi-squared and the likelihood-ratio goodness-of-fit statistic tests.