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Optimal Pre-Analysis Plans: Statistical Decisions Subject to Implementability

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  • Maximilian Kasy
  • Jann Spiess

Abstract

What is the purpose of pre-analysis plans, and how should they be designed? We propose a principal-agent model where a decision-maker relies on selective but truthful reports by an analyst. The analyst has data access, and non-aligned objectives. In this model, the implementation of statistical decision rules (tests, estimators) requires an incentive-compatible mechanism. We first characterize which decision rules can be implemented. We then characterize optimal statistical decision rules subject to implementability. We show that implementation requires pre-analysis plans. Focussing specifically on hypothesis tests, we show that optimal rejection rules pre-register a valid test for the case when all data is reported, and make worst-case assumptions about unreported data. Optimal tests can be found as a solution to a linear-programming problem.

Suggested Citation

  • Maximilian Kasy & Jann Spiess, 2022. "Optimal Pre-Analysis Plans: Statistical Decisions Subject to Implementability," Papers 2208.09638, arXiv.org, revised Oct 2023.
    • Handle: RePEc:arx:papers:2208.09638
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    References listed on IDEAS

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