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Evaluating the replicability of social science experiments in Nature and Science between 2010 and 2015

Abstract

Being able to replicate scientific findings is crucial for scientific progress1,2,3,4,5,6,7,8,9,10,11,12,13,14,15. We replicate 21 systematically selected experimental studies in the social sciences published in Nature and Science between 2010 and 201516,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36. The replications follow analysis plans reviewed by the original authors and pre-registered prior to the replications. The replications are high powered, with sample sizes on average about five times higher than in the original studies. We find a significant effect in the same direction as the original study for 13 (62%) studies, and the effect size of the replications is on average about 50% of the original effect size. Replicability varies between 12 (57%) and 14 (67%) studies for complementary replicability indicators. Consistent with these results, the estimated true-positive rate is 67% in a Bayesian analysis. The relative effect size of true positives is estimated to be 71%, suggesting that both false positives and inflated effect sizes of true positives contribute to imperfect reproducibility. Furthermore, we find that peer beliefs of replicability are strongly related to replicability, suggesting that the research community could predict which results would replicate and that failures to replicate were not the result of chance alone.

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Fig. 1: Replication results after stage 1 and stage 2.
Fig. 2: Replication results for two complementary replication indicators.
Fig. 3: Default Bayes factors (one sided) for the 21 replications.
Fig. 4: Prediction market and survey beliefs.

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Acknowledgements

Neither Nature Human Behaviour nor the publisher had any involvement with the conduct of this study prior to its submission to the journal. For financial support we thank: the Austrian Science Fund FWF (SFB F63, START-grant Y617-G11), the Austrian National Bank (grant OeNB 14953), the Behavioral and Neuroeconomics Discovery Fund (C.F.C.), the Jan Wallander and Tom Hedelius Foundation (P2015-0001:1 and P2013-0156:1), the Knut and Alice Wallenberg Foundation (Wallenberg Academy Fellows grant to A.D.), the Swedish Foundation for Humanities and Social Sciences (NHS14-1719:1), the Netherlands Organisation for Scientific Research (Vici grant 016.Vici.170.083 to E.-J.W.), the Sloan Foundation (G-2015-13929) and the Singapore National Research Foundation’s Returning Singaporean Scientists Scheme (grant NRF-RSS2014-001 to T.-H.H.). The funders had no role in study design, data collection and analysis, decision to publish or preparation of the manuscript. We thank the following people for assistance with the experiments and analyses: D. van den Bergh, P.-C. Bindra, J. van Doorn, C. Huber, A. Ly, M. Marsman and J. Zambre.

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Contributions

C.F.C., A.D., F.H., J.H., T.-H.H., M.J., M.K., G.N., B.A.N. and T.P. designed the research. C.F.C., A.D., F.H., T.-H.H., J.H., M.J., M.K., D.M., G.N., B.A.N., T.P. and E.-J.W. wrote the paper. T.C., A.D., E.F., F.H., T.-H.H., M.J., T.P. and Y.C. helped to design the prediction market part. F.H. and E.-J.W. analysed the data. A.A., N.B., A.G., E.H., F.H., L.H., T.I., S.I., D.M., J.R. and H.W. carried out the replications (including re-estimating the original estimate with the replication data). All authors approved the final manuscript.

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Correspondence to Brian A. Nosek.

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Supplementary Methods, Supplementary References, Supplementary Tables 1–7 and Supplementary Figures 1–9

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Camerer, C.F., Dreber, A., Holzmeister, F. et al. Evaluating the replicability of social science experiments in Nature and Science between 2010 and 2015. Nat Hum Behav 2, 637–644 (2018). https://doi.org/10.1038/s41562-018-0399-z

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