Сравнение методов

	Тестирование инвариантности порядковых измерений	Конфирматорный факторный анализ (КФА)
Область	Психометрия	Психометрия
Семейство	Latent structure	Latent structure
Год появления	1984–2011	1969
Автор метода	Roger Millsap; Bengt Muthén	Karl Gustav Jöreskog
Тип	Multi-group model comparison	Hypothesis-testing latent variable model
Основополагающий источник	Millsap, R. E. (2011). Statistical Approaches to Measurement Invariance. Routledge. ISBN: 978-1848728936	Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34(2), 183–202.
Другие названия	ordinal MI, measurement invariance for ordinal data, ordinal CFA invariance, categorical measurement invariance	CFA, confirmatory FA, measurement model, restricted factor analysis
Связанные	6	4
Сводка	Ordinal measurement invariance testing evaluates whether a multi-group confirmatory factor model holds equivalent measurement properties across groups when scale items are ordinal — such as Likert-type response scales. It uses polychoric correlations and categorical estimators (WLSMV/DWLS) rather than Pearson-based methods, correcting the systematic bias that arises when ordinal data are treated as continuous.	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.