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Minimax designs for causal effects in temporal experiments with treatment habituation

Author

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  • Guillaume W Basse
  • Yi Ding
  • Panos Toulis

Abstract

SummaryIn many modern settings, such as an online marketplace, randomized experiments need to be executed over multiple time periods. In such temporal experiments, it has been observed that the effects of an intervention on an experimental unit may be large when the unit is first exposed to it, but then it attenuates after repeated exposures. This is typically due to units’ habituation to the intervention, or some other form of learning, such as when users gradually start to ignore repeated mails sent by a promotional campaign. This paper proposes randomized designs for estimating causal effects in temporal experiments when habituation is present. We show that our designs are minimax optimal in a large class of practical designs. Our analysis is based on the randomization framework of causal inference, and imposes no parametric modelling assumptions on the outcomes.

Suggested Citation

  • Guillaume W Basse & Yi Ding & Panos Toulis, 2023. "Minimax designs for causal effects in temporal experiments with treatment habituation," Biometrika, Biometrika Trust, vol. 110(1), pages 155-168.
    • Handle: RePEc:oup:biomet:v:110:y:2023:i:1:p:155-168.
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    File URL: http://hdl.handle.net/10.1093/biomet/asac024
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    Cited by:

    1. Jinglong Zhao, 2023. "Adaptive Neyman Allocation," Papers 2309.08808, arXiv.org, revised Sep 2023.
    2. Jinglong Zhao, 2024. "Experimental Design For Causal Inference Through An Optimization Lens," Papers 2408.09607, arXiv.org, revised Aug 2024.
    3. Nian Si, 2023. "Tackling Interference Induced by Data Training Loops in A/B Tests: A Weighted Training Approach," Papers 2310.17496, arXiv.org, revised Apr 2024.

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