手法を比較

	多カテゴリ項目測定不変性	順序多値確認的因子分析
分野	心理測定学	心理測定学
系統	Latent structure	Latent structure
提唱年	2000–2004	1984
提唱者	Roger E. Millsap, Robert J. Vandenberg	Bengt Muthen
種類	Multi-group confirmatory test	Latent variable / confirmatory measurement model
原典	Millsap, R. E. & Kwok, O.-M. (2004). Evaluating the impact of partial factor loading and intercept invariance on selection utility. Psychological Methods, 9(2), 200–215.	Flora, D. B. & Curran, P. J. (2004). An empirical evaluation of alternative methods of estimation for confirmatory factor analysis with ordinal data. Psychological Methods, 9(4), 466–491.
別名	PMI, ordinal measurement invariance, polytomous factorial invariance, polytomous multi-group measurement invariance	CFA for ordered categories, ordinal CFA, categorical CFA, WLSMV-CFA
関連	5	5
概要	Polytomous measurement invariance testing evaluates whether a scale with ordered categorical (polytomous) response options — such as Likert-type items — measures the same latent construct in the same way across two or more groups. It extends classical multi-group CFA invariance testing to properly account for the ordinal nature of item responses, ensuring that group comparisons of latent means or factor structures are substantively valid.	Polytomous confirmatory factor analysis (CFA) tests a pre-specified factor structure when items have three or more ordered response categories (e.g., Likert scales). By working with polychoric correlations and robust estimators such as WLSMV, it avoids the distortions that arise when ordered categorical data are treated as continuous.