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Bayesian analysis of multivariate ordered probit model with individual heterogeneity

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  • Lei Shi

    (Hokkaido University)

Abstract

In recent years, models incorporating heterogeneity among individuals have become increasingly popular in the analyses on subjective ordered choice data. However, there are rare previous studies that include individual heterogeneity in the multivariate ordered probit model. In this article, we describe the Bayesian multivariate ordered probit model introduced by Chen and Dey (in: Dey, Ghosh, Mallick (eds) Generalized linear models: a Bayesian perspective. Marcel-Dekker, New York, pp 133–157, 2000) (Algorithm 1), and propose a new algorithm that includes individual heterogeneity in the cutpoint function (Algorithm 2). Further, we examine the two algorithms using real data from World Values Survey wave 5, collected between 2005 and 2009. The empirical results demonstrate that the model with individual heterogeneity outperforms that without heterogeneity.

Suggested Citation

  • Lei Shi, 2020. "Bayesian analysis of multivariate ordered probit model with individual heterogeneity," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(4), pages 649-665, December.
    • Handle: RePEc:spr:alstar:v:104:y:2020:i:4:d:10.1007_s10182-020-00369-2
    DOI: 10.1007/s10182-020-00369-2
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    References listed on IDEAS

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    1. Greene,William H. & Hensher,David A., 2010. "Modeling Ordered Choices," Cambridge Books, Cambridge University Press, number 9780521142373.
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    3. Layard, R. & Mayraz, G. & Nickell, S., 2008. "The marginal utility of income," Journal of Public Economics, Elsevier, vol. 92(8-9), pages 1846-1857, August.
    4. James H. Albert & Siddhartha Chib, 2001. "Sequential Ordinal Modeling with Applications to Survival Data," Biometrics, The International Biometric Society, vol. 57(3), pages 829-836, September.
    5. repec:cup:apsrev:v:98:y:2004:i:01:p:191-207_00 is not listed on IDEAS
    6. Greene,William H. & Hensher,David A., 2010. "Modeling Ordered Choices," Cambridge Books, Cambridge University Press, number 9780521194204.
    7. Hikaru Hasegawa & Kazuhiro Ueda, 2016. "Multidimensional inequality for current status of Japanese private companies’ employees," METRON, Springer;Sapienza Università di Roma, vol. 74(3), pages 357-373, December.
    8. Chib S. & Jeliazkov I., 2001. "Marginal Likelihood From the Metropolis-Hastings Output," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 270-281, March.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Bayesian analysis; Markov chain Monte Carlo (MCMC); Multivariate ordered probit model; Individual heterogeneity; World values survey;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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