Latent structureMultivariate analysis

Здравата потвърдителна факторна анализа

Standard CFA assumes that the observed indicators follow a multivariate normal distribution. In practice, Likert scales, clinical ratings, and behavioural counts are rarely normal — they tend to be skewed or heavy-tailed. When normality fails, the maximum likelihood chi-square statistic inflates, standard errors shrink, and model fit indices become misleading. Robust CFA fixes this by computing a scaled test statistic and sandwich-type standard errors that remain valid even when the distributional assumption is violated. The factor structure being tested is still specified in advance — the confirmatory logic is unchanged — but the inferential machinery is made resistant to non-normality.

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Източници

  1. Satorra, A. & Bentler, P. M. (1994). Corrections to test statistics and standard errors in covariance structure analysis. In A. von Eye & C. C. Clogg (Eds.), Latent variables analysis: Applications for developmental research (pp. 399–419). Sage. link
  2. Browne, M. W. (1984). Asymptotically distribution-free methods for the analysis of covariance structures. British Journal of Mathematical and Statistical Psychology, 37(1), 62–83. DOI: 10.1111/j.2044-8317.1984.tb00789.x

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ScholarGate. (2026, June 3). Robust Confirmatory Factor Analysis. ScholarGate. https://scholargate.app/bg/statistics/robust-confirmatory-factor-analysis

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ScholarGateRobust Confirmatory Factor Analysis (Robust Confirmatory Factor Analysis). Извлечено на 2026-06-15 от https://scholargate.app/bg/statistics/robust-confirmatory-factor-analysis · Набор от данни: https://doi.org/10.5281/zenodo.20539026