References
- Bartholomew, D. J. (1996). The statistical approach to social measurement. New York: Academic Press.
- Bentler, P. M. (2006). EQS structural equation program manual. Encino, CA: Multivariate Software.
- Bollen, K. A. (1980). Issues in the comparative measurement of political democracy. American Sociological Review, 45, 370–390.
- Bollen, K. A. (1989). Structural equations with latent variables. New York: Wiley.
- Depaoli, S. (2021). Bayesian structural equation modeling. New York: Guilford Press.
- Geiser, C. (2013). Data analysis with Mplus. New York: Guilford Press.
- Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian data analysis (Third ed.). New York, NY: Taylor & Francis.
- Green, B. F. (1950). A note on the calculation of the weights for maximum battery reliability. Psychometrika, 15(1), 55–61. doi:10.1007/BF02289178
- Kelley, T. L. (1927). Interpretation of educational measurement. Yonkers, NY: World Book Company.
- Lee, S.-Y. (2007). Structural equation modeling. A bayesian approach. New York, NY: Wiley.
- Levy, R. (2022). Conceptual grounding for bayesian inference for latent variables in factor analysis. Measurement: Interdisciplinary Research and Perspectives, 20(4), 195–214. doi:10.1080/15366367.2021.1996819
- Li, H., Rosenthal, R., & Rubin, D. B. (1996). Reliability of measurement in psychology: From spearman-brown to maximal reliability. Psychological Methods, 1(1), 98–107. doi:10.1037/1082-989X.1.1.98
- Lynch, S. M. (2007). An introduction to applied bayesian statistics and estimation for social scientists. New York, NY: Springer.
- Marcoulides, K. M. (2018). Careful with those priors: A note on Bayesian estimation in two-parameter logistic item response theory models. Measurement: Interdisciplinary Research and Perspectives, 16(2), 92–99. doi:10.1080/15366367.2018.1437305
- McDonald, R. P. (1999). Test theory. A unified treatment. Mahwah, NJ: Earlbaum.
- Mulaik, S. A. (2009). Foundations of factor analysis. Boca Raton, FL: CRC Press.
- Muthén, L. K., & Muthén, B. (2024). Mplus User’s Guide. Los Angeles, CA: Muthén & Muthén.
- Muthén, B., Muthén, L. K., & Asparouhov, T. (2016). Regression and mediation analysis using mplus. Los Angeles, CA: Muthén & Muthén.
- Raykov, T. (in press). On the benefits of using maximal reliability in educational and psychological research. Educational and Psychological Measurement.
- Raykov, T., Doebler, P., & Marcoulides, G. A. (2022). Applications of Bayesian Confirmatory Factor Analysis in behavioral measurement: Strong convergence of a Bayesian parameter estimator. Measurement: Interdisciplinary Research and Perspectives, 20(4), 215–227. doi:10.1080/15366367.2021.2005959
- Raykov, T., Gabler, S., & Dimitrov, D. M. (2016). Maximal reliability and composite reliability: A latent variable modeling approach to their difference evaluation. Structural Equation Modeling, 23(3), 384–391. doi:10.1080/10705511.2014.966369
- Raykov, T., Marcoulides, G. A., & Schumacker, R. E. (in press). Bayesian scale reliability evaluation using latent variable modeling. Measurement.
- Raykov, T., Rodenberg, C. N., & Narayanan, A. (2015). Optimal shortening of psychometric scales. Structural Equation Modeling, 22(2), 227–235. doi:10.1080/10705511.2014.935927
- Thomson, G. H. (1940). Weighting for battery reliability and prediction. British Journal of Mathematical and Statistical Psychology, 30(4), 357–360. doi:10.1111/j.2044-8295.1940.tb00968.x