مقایسهٔ روش‌ها

	نابهنجاری سنجش چندوجهی	آزمون پایایی سنجش
حوزه	روان‌سنجی	روان‌سنجی
خانواده	Latent structure	Latent structure
سال پیدایش	2000–2004	2000
پدیدآور	Roger E. Millsap, Robert J. Vandenberg	Vandenberg & Lance
نوع	Multi-group confirmatory test	Multi-group confirmatory factor analysis procedure
منبع بنیادین	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.	Vandenberg, R. J., & Lance, C. E. (2000). A review and synthesis of the measurement invariance literature. Organizational Research Methods, 3(1), 4–70.
نام‌های دیگر	PMI, ordinal measurement invariance, polytomous factorial invariance, polytomous multi-group measurement invariance	Factorial Invariance, Measurement Equivalence, Configural-Metric-Scalar Testing, Ölçüm Değişmezliği
مرتبط	5	3
خلاصه	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.	Measurement invariance testing is a sequence of nested confirmatory factor analysis (CFA) models that examines whether a psychological scale measures the same latent construct in the same way across distinct groups or time points. Systematized and popularized by Vandenberg and Lance (2000), the procedure tests a hierarchy of constraints — from identical factor patterns to identical item intercepts — so that researchers can justify meaningful group comparisons on latent means.