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On the Estimation of Polychoric Correlations and their Asymptotic Covariance Matrix
Abstract
A general theory for parametric inference in contingency tables is outlined. Estimation of polychoric correlations is seen as a special case of this theory. The asymptotic covariance matrix of the estimated polychoric correlations is derived for the case when the thresholds are estimated from the univariate marginals and the polychoric correlations are estimated from the bivariate marginals for given thresholds. Computational aspects are also discussed.
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Citations
Cites
Maximum Likelihood Estimation of the Polychoric Correlation Coefficient
Olsson, U. (1979) · Psychometrika · doi:10.1007/bf02296207 · Cited by 1,127
Cited by
Rhemtulla, M., Brosseau-Liard, P. É., & Savalei, V. (2012) · Psychological Methods · doi:10.1037/a0029315 · Cited by 2,816
Item factor analysis: Current approaches and future directions.
Wirth, R. J., & Edwards, M. C. (2007) · Psychological Methods · doi:10.1037/1082-989x.12.1.58 · Cited by 910
Factor Analysis with Ordinal Indicators: A Monte Carlo Study Comparing DWLS and ULS Estimation
Forero, C. G., Maydeu-Olivares, A., & Gallardo-Pujol, D. (2009) · Structural Equation Modeling: A Multidisciplinary Journal · doi:10.1080/10705510903203573 · Cited by 685
Structural Equation Modeling in Practice: Testing a Theory for Research Use
Johnson, K. W. (1999) · Journal of Social Service Research · doi:10.1300/j079v24n03_06 · Cited by 592
THE DYNAMICS OF DELINQUENT PEERS AND DELINQUENT BEHAVIOR*
MATSUEDA, R. L., & ANDERSON, K. (1998) · Criminology · doi:10.1111/j.1745-9125.1998.tb01249.x · Cited by 543
Metadata
- Authors
- Jöreskog, K. G.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1994-09
- Volume
- 59
- Issue
- 3
- Pages
- 381-389
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2019837960
- Cited by
- 370
- References
- 1
- FWCI
- 5.20
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
