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A Dynamic Ordered Logit Model with Fixed Effects

Author

Listed:
  • Chris Muris

    (McMaster University)

  • Pedro Raposo

    (Universidade Católica Portuguesa, Católica Lisbon School of Business & Economics)

  • Sotiris Vandoros

    (University College London (UCL) and Harvard University)

Abstract

We study a fixed-T panel data logit model for ordered outcomes that accommodates fixed effects and state dependence. We provide identification results for the autoregressive parameter, regression coefficients, and the threshold parameters in this model. Our results require only four observations on the outcome variable. We provide conditions under which a composite conditional maximum likelihood estimator is consistent and asymptotically normal. We use our estimator to explore the determinants of self-reported health in a panel of European countries over the period 2003–2016, and we find evidence for state dependence in self-reported health.

Suggested Citation

  • Chris Muris & Pedro Raposo & Sotiris Vandoros, 2025. "A Dynamic Ordered Logit Model with Fixed Effects," The Review of Economics and Statistics, MIT Press, vol. 107(4), pages 1104-1114, July.
  • Handle: RePEc:tpr:restat:v:107:y:2025:i:4:p:1104-1114
    DOI: 10.1162/rest_a_01336
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    Cited by:

    1. Bo E. Honoré & Chris Muris & Martin Weidner, 2025. "Dynamic ordered panel logit models," Quantitative Economics, Econometric Society, vol. 16(3), pages 899-945, July.
    2. Abbas Khan & Li Shuangjie & Ai Xiaoqing & Muhammad Farrukh Shahzad & Abdul Razzaq, 2026. "Navigating financial and governance barriers to renewable energy in LMICs: insights from machine learning and econometrics," Letters in Spatial and Resource Sciences, Springer, vol. 19(1), pages 1-22, December.
    3. Kevin Dano, 2023. "Transition Probabilities and Moment Restrictions in Dynamic Fixed Effects Logit Models," Papers 2303.00083, arXiv.org, revised Dec 2023.
    4. Bartolucci, Francesco & Pigini, Claudia & Valentini, Francesco, 2023. "Testing for state dependence in the fixed-effects ordered logit model," Economics Letters, Elsevier, vol. 222(C).

    More about this item

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • I14 - Health, Education, and Welfare - - Health - - - Health and Inequality

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