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On the partial identification of a new causal measure for ordinal outcomes

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  • Lu, Jiannan

Abstract

In a recent paper, Chiba (2017) proposed a new causal measure for ordinal outcomes. We derive the sharp bounds of Chiba (2017)’s causal measure, assuming fixed marginal distributions of the potential outcomes. We illustrate our results via a numeric example.

Suggested Citation

  • Lu, Jiannan, 2018. "On the partial identification of a new causal measure for ordinal outcomes," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 1-7.
    • Handle: RePEc:eee:stapro:v:137:y:2018:i:c:p:1-7
    DOI: 10.1016/j.spl.2017.12.004
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    References listed on IDEAS

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    1. Victor Chernozhukov & Sokbae Lee & Adam M. Rosen, 2013. "Intersection Bounds: Estimation and Inference," Econometrica, Econometric Society, vol. 81(2), pages 667-737, March.
    2. Djebbari, Habiba & Smith, Jeffrey, 2008. "Heterogeneous impacts in PROGRESA," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 64-80, July.
    3. Lu, Jiannan & Ding, Peng & Dasgupta, Tirthankar, 2015. "Construction of alternative hypotheses for randomization tests with ordinal outcomes," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 348-355.
    4. Jing Cheng, 2009. "Estimation and Inference for the Causal Effect of Receiving Treatment on a Multinomial Outcome," Biometrics, The International Biometric Society, vol. 65(1), pages 96-103, March.
    5. Iván Díaz & Elizabeth Colantuoni & Michael Rosenblum, 2016. "Enhanced precision in the analysis of randomized trials with ordinal outcomes," Biometrics, The International Biometric Society, vol. 72(2), pages 422-431, June.
    6. Chuan Ju & Zhi Geng, 2010. "Criteria for surrogate end points based on causal distributions," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(1), pages 129-142, January.
    7. Alan Agresti & Maria Kateri, 2017. "Ordinal probability effect measures for group comparisons in multinomial cumulative link models," Biometrics, The International Biometric Society, vol. 73(1), pages 214-219, March.
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    Cited by:

    1. Soichiro Yamauchi, 2020. "Difference-in-Differences for Ordinal Outcomes: Application to the Effect of Mass Shootings on Attitudes toward Gun Control," Papers 2009.13404, arXiv.org.

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