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A new standard is proposed for the evidential assessment of replication studies. The approach combines a specific reverse-Bayes technique with prior-predictive tail probabilities to define replication success. The method gives rise to a…

统计方法学 · 统计学 2022-11-08 Leonhard Held

Replication studies are increasingly conducted but there is no established statistical criterion for replication success. We propose a novel approach combining reverse-Bayes analysis with Bayesian hypothesis testing: a sceptical prior is…

统计方法学 · 统计学 2022-12-15 Samuel Pawel , Leonhard Held

Replication studies are essential for assessing the credibility of claims from original studies. A critical aspect of designing replication studies is determining their sample size; a too small sample size may lead to inconclusive studies…

统计方法学 · 统计学 2023-08-14 Samuel Pawel , Guido Consonni , Leonhard Held

Statistical significance of both the original and the replication study is a commonly used criterion to assess replication attempts, also known as the two-trials rule in drug development. However, replication studies are sometimes conducted…

应用统计 · 统计学 2024-05-31 Leonhard Held , Samuel Pawel , Charlotte Micheloud

There is a growing interest in the analysis of replication studies of original findings across many disciplines. When testing a hypothesis for an effect size, two Bayesian approaches stand out for their principled use of the Bayes factor…

统计方法学 · 统计学 2024-01-02 Guido Consonni , Leonardo Egidi

Replication of scientific studies is important for assessing the credibility of their results. However, there is no consensus on how to quantify the extent to which a replication study replicates an original result. We propose a novel…

统计方法学 · 统计学 2026-05-19 Roberto Macrì-Demartino , Leonardo Egidi , Leonhard Held , Samuel Pawel

Large-scale replication studies like the Reproducibility Project: Psychology (RP:P) provide invaluable systematic data on scientific replicability, but most analyses and interpretations of the data fail to agree on the definition of…

统计方法学 · 统计学 2022-03-08 Kenneth Hung , William Fithian

We study a statistical framework for replicability based on a recently proposed quantitative measure of replication success, the sceptical $p$-value. A recalibration is proposed to obtain exact overall Type-I error control if the effect is…

统计方法学 · 统计学 2023-11-10 Charlotte Micheloud , Fadoua Balabdaoui , Leonhard Held

In several large-scale replication projects, statistically non-significant results in both the original and the replication study have been interpreted as a "replication success". Here we discuss the logical problems with this approach:…

统计方法学 · 统计学 2023-12-19 Samuel Pawel , Rachel Heyard , Charlotte Micheloud , Leonhard Held

The reproducibility crisis has led to an increasing number of replication studies being conducted. Sample sizes for replication studies are often calculated using conditional power based on the effect estimate from the original study.…

统计方法学 · 统计学 2022-10-19 Charlotte Micheloud , Leonhard Held

The ongoing replication crisis in science has increased interest in the methodology of replication studies. We propose a novel Bayesian analysis approach using power priors: The likelihood of the original study's data is raised to the power…

统计方法学 · 统计学 2023-09-28 Samuel Pawel , Frederik Aust , Leonhard Held , Eric-Jan Wagenmakers

An ongoing "reproducibility crisis" calls into question scientific discoveries across a variety of disciplines ranging from life to social sciences. Replication studies aim to investigate the validity of findings in published research, and…

应用统计 · 统计学 2023-05-09 Konstantinos Bourazas , Guido Consonni , Laura Deldossi

Clinicians and scientists have traditionally focussed on whether their findings will be replicated and are very familiar with the concept. The probability that a replication study yields an effect with the same sign, or the same statistical…

应用统计 · 统计学 2025-12-17 Huw Llewelyn

This paper proposes iterative Bayesian method to estimate success probability based on unique sample. The procedure is replacing the distribution characteristic of prior with Bayes estimate on the every iteration until they coincide.…

统计理论 · 数学 2012-07-24 Sun Ping

Empirical science needs to be based on facts and claims that can be reproduced. This calls for replicating the studies that proclaim the claims, but practice in most fields still fails to implement this idea. When such studies emerged in…

其他统计学 · 统计学 2025-08-27 Werner A. Stahel

Replication is complicated in psychological research because studies of a given psychological phenomenon can never be direct or exact replications of one another, and thus effect sizes vary from one study of the phenomenon to the next--an…

统计方法学 · 统计学 2021-07-21 Blakeley B. McShane , Jennifer L. Tackett , Ulf Bockenholt , Andrew Gelman

Assessment of replicability is critical to ensure the quality and rigor of scientific research. In this paper, we discuss inference and modeling principles for replicability assessment. Targeting distinct application scenarios, we propose…

统计方法学 · 统计学 2021-05-11 Yi Zhao , Xiaoquan Wen

With an increasing number of replication studies performed in psychological science, the question of how to evaluate the outcome of a replication attempt deserves careful consideration. Bayesian approaches allow to incorporate uncertainty…

应用统计 · 统计学 2018-09-14 Christopher Harms

If the prior probability distributions of all possible hypothetical true means and all possible observed means of a continuous variable are conditional on the universal set of all numbers (i.e., before the nature of a study is known and a…

统计方法学 · 统计学 2025-06-05 Huw Llewelyn

Replication studies are increasingly conducted to assess the credibility of scientific findings. Most of these replication attempts target studies with a superiority design, but there is a lack of methodology regarding the analysis of…

统计方法学 · 统计学 2024-12-13 Charlotte Micheloud , Leonhard Held
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