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Structural equation modeling with time dependence: an application comparing Brazilian energy distributors

Author

Listed:
  • Vinícius Diniz Mayrink

    (Universidade Federal de Minas Gerais)

  • Renato Valladares Panaro

    (Universidade Federal de Minas Gerais)

  • Marcelo Azevedo Costa

    (Universidade Federal de Minas Gerais)

Abstract

This study proposes a Bayesian structural equation model (SEM) to explore financial and economic sustainability indicators, considered by the Brazilian energy regulator (ANEEL), to evaluate the performance of energy distribution companies. The methodology applies confirmatory factor analysis for dimension reduction of the original multivariate data set into few representative latent variables (factors). In addition, a regression structure is defined to establish the impact of the factors over the response “indebtedness” of the companies; this is a central aspect regularly discussed within ANEEL to identify whether a distributor may have difficulty to manage the concession. Most of the variables in this study are collected for 8 different years (2011–2018); therefore, a time dependence is inserted in the analysis to correlate observations. The SEM approach has several advantages in this context: it avoids using criticized deterministic formulations to measure non-observable aspects of the distributors, it allows a broad statistical analysis exploring elements that cannot be investigated through the simple descriptive studies currently developed by the regulator, and finally, it provides tools to properly rank and compare distances between companies. The Bayesian view is a powerful option to handle the SEM fit here, since convergence issues, due to sample size and high dimensionality, may be experienced via classical alternatives based on maximization.

Suggested Citation

  • Vinícius Diniz Mayrink & Renato Valladares Panaro & Marcelo Azevedo Costa, 2021. "Structural equation modeling with time dependence: an application comparing Brazilian energy distributors," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 105(2), pages 353-383, June.
  • Handle: RePEc:spr:alstar:v:105:y:2021:i:2:d:10.1007_s10182-020-00377-2
    DOI: 10.1007/s10182-020-00377-2
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    References listed on IDEAS

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    1. Vinicius Mayrink & Dani Gamerman, 2009. "On computational aspects of Bayesian spatial models: influence of the neighboring structure in the efficiency of MCMC algorithms," Computational Statistics, Springer, vol. 24(4), pages 641-669, December.
    2. Barbieri, Antoine & Tami, Myriam & Bry, Xavier & Azria, David & Gourgou, Sophie & Bascoul-Mollevi, Caroline & Lavergne, Christian, 2018. "EM algorithm estimation of a structural equation model for the longitudinal study of the quality of life," LIDAM Reprints ISBA 2018006, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    3. Sik-Yum Lee & Xin-Yuan Song, 2003. "Model comparison of nonlinear structural equation models with fixed covariates," Psychometrika, Springer;The Psychometric Society, vol. 68(1), pages 27-47, March.
    4. Satoshi Usami & Ross Jacobucci & Timothy Hayes, 2019. "The performance of latent growth curve model-based structural equation model trees to uncover population heterogeneity in growth trajectories," Computational Statistics, Springer, vol. 34(1), pages 1-22, March.
    5. Lopes, Hedibert Freitas & Gamerman, Dani & Salazar, Esther, 2011. "Generalized spatial dynamic factor models," Computational Statistics & Data Analysis, Elsevier, vol. 55(3), pages 1319-1330, March.
    6. Julian Besag & Jeremy York & Annie Mollié, 1991. "Bayesian image restoration, with two applications in spatial statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 43(1), pages 1-20, March.
    7. Lee, Sik-Yum & Song, Xin-Yuan, 2003. "Maximum likelihood estimation and model comparison of nonlinear structural equation models with continuous and polytomous variables," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 125-142, October.
    8. Edgar C. Merkle, 2011. "A Comparison of Imputation Methods for Bayesian Factor Analysis Models," Journal of Educational and Behavioral Statistics, , vol. 36(2), pages 257-276, April.
    9. Sanchez, Brisa N. & Budtz-Jorgensen, Esben & Ryan, Louise M. & Hu, Howard, 2005. "Structural Equation Models: A Review With Applications to Environmental Epidemiology," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 1443-1455, December.
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    Cited by:

    1. Natália Caroline Costa Oliveira & Vinícius Diniz Mayrink, 2024. "Generalized mixed spatiotemporal modeling with a continuous response and random effect via factor analysis," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 33(3), pages 723-752, July.

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