Linganisha mbinu

	Uthabiti wa Kipimo wa Fomu Fupi	Uchanganuzi wa Kimfumo wa Uhakiki (CFA)
Nyanja	Saikometriki	Saikometriki
Familia	Latent structure	Latent structure
Mwaka wa asili	2000s	1969
Mwanzilishi	Adapted from Vandenberg & Lance (2000) and Millsap & Kwok (2004) invariance framework applied to short-form scales	Karl Gustav Jöreskog
Aina	Measurement equivalence testing	Hypothesis-testing latent variable model
Chanzo asilia	Millsap, R. E., & Kwok, O. M. (2004). Evaluating the impact of partial factor loading and intercept invariance on selection in two populations. Psychological Methods, 9(1), 93–115.	Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34(2), 183–202.
Majina mbadala	SF-MI, abbreviated scale invariance, short-form factorial invariance, brief measure invariance	CFA, confirmatory FA, measurement model, restricted factor analysis
Zinazohusiana	6	4
Muhtasari	Short form measurement invariance testing evaluates whether an abbreviated version of a psychological scale measures the same latent construct equivalently across groups or conditions. It applies the hierarchical multigroup confirmatory factor analysis invariance sequence — configural, metric, scalar, and strict — specifically to short-form instruments, ensuring that brevity does not introduce measurement bias when comparing subgroups.	Confirmatory factor analysis tests a researcher-specified factor structure against observed data. Unlike exploratory approaches, the researcher decides in advance which indicators load on which latent factor, and the model is evaluated by how closely the implied covariance matrix reproduces the sample covariance matrix. CFA is central to scale validation, construct validity assessment, and measurement invariance testing.