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Ridge structural equation modelling with correlation matrices for ordinal and continuous data.
- Source :
-
The British journal of mathematical and statistical psychology [Br J Math Stat Psychol] 2011 Feb; Vol. 64 (Pt 1), pp. 107-33. - Publication Year :
- 2011
-
Abstract
- This paper develops a ridge procedure for structural equation modelling (SEM) with ordinal and continuous data by modelling the polychoric/polyserial/product-moment correlation matrix R. Rather than directly fitting R, the procedure fits a structural model to R(a) =R+aI by minimizing the normal distribution-based discrepancy function, where a > 0. Statistical properties of the parameter estimates are obtained. Four statistics for overall model evaluation are proposed. Empirical results indicate that the ridge procedure for SEM with ordinal data has better convergence rate, smaller bias, smaller mean square error, and better overall model evaluation than the widely used maximum likelihood procedure.
- Subjects :
- Extraversion, Psychological
Humans
Introversion, Psychological
Likelihood Functions
Mathematical Computing
Neurotic Disorders diagnosis
Neurotic Disorders psychology
Personality Inventory statistics & numerical data
Psychotic Disorders diagnosis
Psychotic Disorders psychology
Software
Surveys and Questionnaires
Data Collection statistics & numerical data
Models, Statistical
Psychometrics statistics & numerical data
Social Sciences statistics & numerical data
Statistics as Topic
Subjects
Details
- Language :
- English
- ISSN :
- 0007-1102
- Volume :
- 64
- Issue :
- Pt 1
- Database :
- MEDLINE
- Journal :
- The British journal of mathematical and statistical psychology
- Publication Type :
- Academic Journal
- Accession number :
- 21506947
- Full Text :
- https://doi.org/10.1348/000711010X497442