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A two‐stage estimation of structural equation models with continuous and polytomous variables
Abstract
This paper develops a computationally efficient procedure for analysis of structural equation models with continuous and polytomous variables. A partition maximum likelihood approach is used to obtain the first stage estimates of the thresholds and the polyserial and polychoric correlations in the underlying correlation matrix. Then, based on the joint asymptotic distribution of the first stage estimator and an appropriate weight matrix, a generalized least squares approach is employed to estimate the structural parameters in the correlation structure. Asymptotic properties of the estimators are derived. Some simulation studies are conducted to study the empirical behaviours and robustness of the procedure, and compare it with some existing methods.
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Cited by
Löwe, B., Decker, O., Müller, S., Brähler, E., Schellberg, D., Herzog, W., & Herzberg, P. Y. (2008) · Medical Care · doi:10.1097/mlr.0b013e318160d093 · Cited by 4,527
Rhemtulla, M., Brosseau-Liard, P. É., & Savalei, V. (2012) · Psychological Methods · doi:10.1037/a0029315 · Cited by 2,816
Löwe, B., Wahl, I., Rose, M., Spitzer, C., Glaesmer, H., Wingenfeld, K., Schneider, A., & Brähler, E. (2010) · Journal of Affective Disorders · doi:10.1016/j.jad.2009.06.019 · Cited by 2,473
Bartholomew, K. J., Ntoumanis, N., Ryan, R. M., Bosch, J. A., & Thøgersen-Ntoumani, C. (2011) · Personality and Social Psychology Bulletin · doi:10.1177/0146167211413125 · Cited by 1,064
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
Metadata
- Authors
- Lee, S., Poon, W., & Bentler, P. M.
- Venue
- British Journal of Mathematical and Statistical Psychology
- Publisher
- Wiley
- Published
- 1995-11
- Volume
- 48
- Issue
- 2
- Pages
- 339-358
- ISSN
- 0007-1102 (ISSN-L)
- 2044-8317
- OpenAlex
- W1974874432
- Cited by
- 247
- References
- 0
- FWCI
- 6.78
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lee, S., Poon, W., & Bentler, P. M. (1995). A two‐stage estimation of structural equation models with continuous and polytomous variables. British Journal of Mathematical and Statistical Psychology. https://doi.org/10.1111/j.2044-8317.1995.tb01067.x
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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.
