Linganisha mbinu

	Upimaji wa Uthabiti wa Kipimo	Uchanganuzi wa Kipengele cha Uhakika (CFA)	Uchambuzi wa Utendaji Tofauti wa Kipengee (DIF)
Nyanja	Saikometriki	Takwimu	Saikometriki
Familia	Latent structure	Latent structure	Latent structure
Mwaka wa asili	2000	1969	1988
Mwanzilishi	Vandenberg & Lance	Karl Jöreskog	Paul W. Holland & Dorothy T. Thayer (Mantel-Haenszel approach, 1988)
Aina	Multi-group confirmatory factor analysis procedure	Confirmatory latent variable model	Item-level fairness / measurement equivalence analysis
Chanzo asilia	Vandenberg, R. J., & Lance, C. E. (2000). A review and synthesis of the measurement invariance literature. Organizational Research Methods, 3(1), 4–70.	Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363	Holland, P. W. & Thayer, D. T. (1988). Differential Item Performance and the Mantel-Haenszel Procedure. ETS Research Report Series.
Majina mbadala	Factorial Invariance, Measurement Equivalence, Configural-Metric-Scalar Testing, Ölçüm Değişmezliği	Doğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement model	Madde Yanlılık Analizi (DIF — Differential Item Functioning), item bias analysis, Mantel-Haenszel DIF, Lord chi-square DIF
Zinazohusiana	3	4	4
Muhtasari	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.	Confirmatory factor analysis tests whether a researcher-specified factor structure fits the observed data. Formalised by Karl Jöreskog in 1969, it is the measurement-model step within structural equation modelling and is the standard tool for validating the factorial structure of scales and questionnaires before comparing groups or estimating latent relationships.	Differential Item Functioning analysis examines whether examinees from different groups — such as gender, ethnicity, or language background — who have the same underlying ability respond differently to a test item. First formalised by Holland and Thayer in 1988 via the Mantel-Haenszel procedure, it is the principal tool in modern test development for detecting and removing item bias.