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Assessing replicability with the sceptical p$$ p $$‐value: Type‐I error control and sample size planning

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  • Charlotte Micheloud
  • Fadoua Balabdaoui
  • Leonhard Held

Abstract

We study a statistical framework for replicability based on a recently proposed quantitative measure of replication success, the sceptical p$$ p $$‐value. A recalibration is proposed to obtain exact overall Type‐I error control if the effect is null in both studies and additional bounds on the partial and conditional Type‐I error rate, which represent the case where only one study has a null effect. The approach avoids the double dichotomization for significance of the two‐trials rule and has larger project power to detect existing effects over both studies in combination. It can also be used for power calculations and requires a smaller replication sample size than the two‐trials rule for already convincing original studies. We illustrate the performance of the proposed methodology in an application to data from the Experimental Economics Replication Project.

Suggested Citation

  • Charlotte Micheloud & Fadoua Balabdaoui & Leonhard Held, 2023. "Assessing replicability with the sceptical p$$ p $$‐value: Type‐I error control and sample size planning," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 77(4), pages 573-591, November.
    • Handle: RePEc:bla:stanee:v:77:y:2023:i:4:p:573-591
    DOI: 10.1111/stan.12312
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    1. Attila Ambrus & Ben Greiner, 2012. "Imperfect Public Monitoring with Costly Punishment: An Experimental Study," American Economic Review, American Economic Association, vol. 102(7), pages 3317-3332, December.
    2. Leonhard Held, 2020. "A new standard for the analysis and design of replication studies," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 183(2), pages 431-448, February.
    3. Samuel Pawel & Leonhard Held, 2022. "The sceptical Bayes factor for the assessment of replication success," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 84(3), pages 879-911, July.
    4. Samuel Pawel & Leonhard Held, 2020. "Probabilistic forecasting of replication studies," PLOS ONE, Public Library of Science, vol. 15(4), pages 1-23, April.
    5. Keith M. Marzilli Ericson & Andreas Fuster, 2011. "Expectations as Endowments: Evidence on Reference-Dependent Preferences from Exchange and Valuation Experiments," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(4), pages 1879-1907.
    6. Alexander Shapiro & Jos Berge, 2002. "Statistical inference of minimum rank factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 79-94, March.
    7. Camerer, Colin & Dreber, Anna & Forsell, Eskil & Ho, Teck-Hua & Huber, Jurgen & Johannesson, Magnus & Kirchler, Michael & Almenberg, Johan & Altmejd, Adam & Chan, Taizan & Heikensten, Emma & Holzmeist, 2016. "Evaluating replicability of laboratory experiments in Economics," MPRA Paper 75461, University Library of Munich, Germany.
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    1. Heyard, Rachel & Pawel, Samuel & Frese, Joris & Voelkl, Bernhard & Würbel, Hanno & McCann, Sarah & Held, Leonhard & Wever, Kimberley E. PhD & Hartmann, Helena & Townsin, Louise, 2024. "A scoping review on metrics to quantify reproducibility: a multitude of questions leads to a multitude of metrics," MetaArXiv apdxk_v1, Center for Open Science.

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