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Bounds on the complier average causal effect in randomized trials with noncompliance

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  • Chiba, Yasutaka

Abstract

Noncompliance is a common concern in drawing causal inference in randomized trials. There is a large body of literature on methods for dealing with this issue. Specifically, it is well known that the average causal effect within the principal strata of compliance behavior (complier average causal effect, CACE) is equal to the instrumental variable estimator under the monotonicity assumption. However, there is only a small amount of published literature that discusses CACE without this assumption. Here, we present bounds on the CACE without the monotonicity assumption. To derive the bounds, we utilize the idea considered to derive bounds on the principal strata effects in the context of causal mediation analysis and those on the average causal effects among the whole population. The bounds presented here are illustrated using a classic randomized trial.

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  • Chiba, Yasutaka, 2012. "Bounds on the complier average causal effect in randomized trials with noncompliance," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1352-1357.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:7:p:1352-1357
    DOI: 10.1016/j.spl.2012.03.040
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    References listed on IDEAS

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    1. Charles F. Manski, 1997. "Monotone Treatment Response," Econometrica, Econometric Society, vol. 65(6), pages 1311-1334, November.
    2. Jing Cheng & Dylan S. Small, 2006. "Bounds on causal effects in three‐arm trials with non‐compliance," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(5), pages 815-836, November.
    3. Donald B. Rubin, 2004. "Direct and Indirect Causal Effects via Potential Outcomes," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 31(2), pages 161-170, June.
    4. Constantine E. Frangakis & Donald B. Rubin, 2002. "Principal Stratification in Causal Inference," Biometrics, The International Biometric Society, vol. 58(1), pages 21-29, March.
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    Cited by:

    1. Chiba, Yasutaka, 2012. "A note on bounds for the causal infectiousness effect in vaccine trials," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1422-1429.

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