The power and pitfalls of underpowered studies
Open accessAbstract
This article reflects on the potential value and many pitfalls of underpowered studies to help authors and readers consider whether and how they contribute meaningfully to the published literature. A basic introduction to power and sample size calculations is provided. Several problems that can arise in analysis and publication of underpowered studies are described. In addition, features of underpowered studies that may provide value are proposed, including when the hypothesis test of interest is a limited part of the story, the data is rich enough to showcase interesting features of the population of interest, when the rarity or ubiquity of events is an important finding, and when the study is preregistered to reduce the impact of publication bias. Several reporting guidelines for underpowered studies are also suggested.
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Bias mostly occurs unintentionally; for example, when a scientist underpowers a study or is not aware of sexist assumptions that underpin their interpretive framework.
“Bias mostly occurs unintentionally (i.e., subconsciously); for example, when a scientist underpowers a study or is not aware of sexist assumptions that underpin their interpretive framework [48–52].”
From Autonomous artificial intelligence, scientific research, and human values (2026) · cites this paper as [52]
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von Elm, E., Altman, D. G., Egger, M., Pocock, S. J., Gøtzsche, P. C., & Vandenbroucke, J. P. (2007) · The Lancet · doi:10.1016/s0140-6736(07)61602-x · Cited by 21,320 · see citing works
von Elm, E., Altman, D. G., Egger, M., Pocock, S. J., Gøtzsche, P. C., Vandenbroucke, J. P., & Initiative, F. T. S. (2007) · Annals of Internal Medicine · doi:10.7326/0003-4819-147-8-200710160-00010 · Cited by 17,796 · see citing works
CONSORT 2010 Statement: updated guidelines for reporting parallel group randomised trials
Schulz, K. F., Altman, D. G., Moher, D., & for the CONSORT Group (2010) · BMJ · doi:10.1136/bmj.c332 · Cited by 9,329 · see citing works
SPIRIT 2013 Statement: Defining Standard Protocol Items for Clinical Trials
Chan, A.-W., Tetzlaff, J. M., Altman, D. G., Laupacis, A., Gøtzsche, P. C., Krleža-Jerić, K., Hróbjartsson, A., Mann, H., Dickersin, K., Berlin, J. A., et al. (2013) · Annals of Internal Medicine · doi:10.7326/0003-4819-158-3-201302050-00583 · Cited by 7,363 · see citing works
Collins, G. S., Moons, K. G. M., Dhiman, P., Riley, R. D., Beam, A. L., Van Calster, B., Ghassemi, M., Liu, X., Reitsma, J. B., van Smeden, M., et al. (2024) · BMJ · doi:10.1136/bmj-2023-078378 · Cited by 4,718 · see citing works
STARD 2015 guidelines for reporting diagnostic accuracy studies: explanation and elaboration
Cohen, J. F., Korevaar, D. A., Altman, D. G., Bruns, D. E., Gatsonis, C. A., Hooft, L., Irwig, L., Levine, D., Reitsma, J. B., de Vet, H. C. W., et al. (2016) · BMJ Open · doi:10.1136/bmjopen-2016-012799 · Cited by 2,570 · see citing works
Beyond Power Calculations: Assessing Type S (Sign) and Type M (Magnitude) Errors
Gelman, A., & Carlin, J. (2014) · Perspectives on Psychological Science · doi:10.1177/1745691614551642 · Cited by 1,343 · see citing works
The ARRIVE guidelines 2.0: Updated guidelines for reporting animal research
du Sert, N. P., Hurst, V., Ahluwalia, A., Alam, S., Avey, M. T., Baker, M., Browne, W. J., Clark, A., Cuthill, I. C., Dirnagl, U., et al. (2020) · British Journal of Pharmacology · doi:10.1111/bph.15193 · Cited by 1,121 · see citing works
. Caution regarding the use of pilot studies to guide power calculations for study proposals.
Kraemer, H. C., Mintz, J., Noda, A., Tinklenberg, J., & Yesavage, J. A. (2006) · Archives of General Psychiatry · doi:10.1001/archpsyc.63.5.484 · Cited by 702 · see citing works
Gelman, A., & Weakliem, D. L. (2009) · American Scientist · doi:10.1511/2009.79.310 · Cited by 137 · see citing works
Underpowering in randomized trials reporting a sample size calculation
Vickers, A. J. (2003) · Journal of Clinical Epidemiology · doi:10.1016/s0895-4356(03)00141-0 · Cited by 102 · see citing works
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Autonomous artificial intelligence, scientific research, and human values
Resnik, D. B., Hosseini, M., & Hauswald, R. (2026) · AI and Ethics · doi:10.1007/s43681-025-00908-0 · Cited by 15 · see citing works
Evangelista, L. S., Meraz, R., Wierenga, K. L., Nguyen, A. P.-U., Angosta, A. D., & Kawi, J. (2025) · Nutrients · doi:10.3390/nu17142361 · Cited by 6 · see citing works
The SWEDEGRAFT trial: when absence of evidence is not evidence of absence
Gaudino, M. F. L., & Sandner, S. E. (2025) · European Heart Journal · doi:10.1093/eurheartj/ehaf043 · Cited by 6 · see citing works
Donaldson, C., Hawkins, J. L., & Moore, G. F. (2025) · School Mental Health · doi:10.1007/s12310-025-09776-9 · Cited by 4 · see citing works
Piame, L. T., & Yako, Y. Y. (2026) · Applied Biosciences · doi:10.3390/applbiosci5010006 · Cited by 2 · see citing works
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Sankel, J. K. R., Cranø, N. B., Johansson, P. I., & Andersen, L. P. K. (2026) · Intensive Care Medicine Experimental · doi:10.1186/s40635-026-00894-5 · Cited by 2 · see citing works
Making Mindfulness Matter May Improve Quality of Life in Young Children With Epilepsy: Pilot RCT
Tassiopoulos, K. N., Puka, K., Bax, K., Secco, M., Andrade, A., DeVries-Rizzo, M., Franklin, M., Gangam, H., Levin, S., Nouri, M. N., et al. (2025) · Pediatrics Open Science · doi:10.1542/pedsos.2025-000585 · Cited by 1 · see citing works
Konrad, K. S., Betz, L., McBride, S. J., Shockley, K. R., Roberts, G., CUNNY, H. C., & Harry, G. J. (2025) · Neurotoxicology and Teratology · doi:10.1016/j.ntt.2025.107562 · Cited by 1 · see citing works
Fathimahhayati, L. D., Ardiyanto, A., Trapsilawati, F., Liu, X., Zolfagharian, A., & Herianto, H. (2025) · Jurnal Optimasi Sistem Industri · doi:10.25077/josi.v24.n2.p345-366.2025 · Cited by 1 · see citing works
Principles of statistics in clinical trials
Lytras, D., Bassfr, S. H. S., Almrzouqi, B. B., & Alsaywid, B. S. (2026) · Elsevier eBooks · doi:10.1016/b978-0-443-27743-6.00007-5 · Cited by 1 · see citing works
Hutchins, C., Poudel, S., Tambyraja, S. R., & Schmitt, M. B. (2025) · International Journal of Language & Communication Disorders · doi:10.1111/1460-6984.70142 · Cited by 1 · see citing works
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DeVane, C. L. (2024) · Pharmacotherapy The Journal of Human Pharmacology and Drug Therapy · doi:10.1002/phar.4606 · Cited by 1 · see citing works
Comment on “The power and pitfalls of underpowered studies”
Kow, C. S., Ramachandram, D. S., Hasan, S. S., & Thiruchelvam, K. (2024) · Pharmacotherapy The Journal of Human Pharmacology and Drug Therapy · doi:10.1002/phar.4624
Ryman-Rasmussen, J. P., & Becker, R. A. (2025) · Frontiers in Toxicology · doi:10.3389/ftox.2025.1657708
Mkhabela, K., Staden, M. V., & Chetty, Y. Y. (2025) · Frontiers in Medicine · doi:10.3389/fmed.2025.1636141
Quadros, F., Roque, J., & Crespo, C. (2026) · Contemporary Family Therapy · doi:10.1007/s10591-026-09774-2
Léonard, F., & Tirelli, E. (2026) · Journal of Trial and Error · doi:10.36850/34b0-42b1 · Cited by 1 · see citing works
Ocisková, M., Praško, J. P., Bělohradová, K., Visnovsky, J., Vaněk, J., Genzor, S., Sauer, P., & Látalová, K. (2026) · Neuropsychiatric Disease and Treatment · doi:10.2147/ndt.s593736
Whittle, B. J., Chen, C., Izuogu, O., Jackson, M. S., Santibanez‐Koref, M., & Hudson, G. (2026) · Research Square · doi:10.21203/rs.3.rs-9178344/v1
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Acevedo, D. C. A., & Valderrama-Molina, C. O. (2026) · Elsevier eBooks · doi:10.1016/b978-0-443-34264-6.00003-4
Luthfiyanti, N., & Ichsan, B. (2026) · Sciences of Pharmacy · doi:10.58920/sciphar0502555
Nickols, J., Deal, B., Gipson, C. S., & Elliott, B. (2026) · Journal of Professional Nursing · doi:10.1016/j.profnurs.2026.05.023
Olsavsky, A. L., Peek, M. R., Montgomery, K. E., & Skeens, M. A. (2026) · Quality of Life Research · doi:10.1007/s11136-026-04312-x
Morén, E., Gabre, P., Sjögren, P., Wårdh, I., & Skott, P. (2026) · Community Dental Health · doi:10.1177/0265539x261476626
Frazer, R., Askew, C. D., Bowler, A.-L. M., Burke, L. M., Condo, D., Cox, G. R., Halson, S. L., Montoye, A. H. K., Pelly, F. E., Weakley, J. J. S., et al. (2026) · International Journal of Sport Nutrition and Exercise Metabolism · doi:10.1123/ijsnem.2026-0112
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Premji, S., Obilor, H. N., Rae, G. M., & Forcheh, N. (2026) · Journal of Health Psychology · doi:10.1177/13591053261479994
Hansen, E. C., Christensen, S.-E., Damborg, F., Simony, A., & Andersen, S. (2026) · International Journal of Circumpolar Health · doi:10.1080/22423982.2026.2735570
- Authors
- Carnahan, R. M., & Brown, G. D.
- Affiliations
- University of Iowa (US)
- Corresponding author
- Carnahan, Ryan M.
- Venue
- Pharmacotherapy: The Journal of Human Pharmacology and Drug Therapy
- Publisher
- Wiley
- Published
- 2024-09
- Volume
- 44
- Issue
- 9
- Pages
- 698-700
- ISSN
- 0277-0008 (ISSN-L)
- 1875-9114
- OpenAlex
- W4402207341
- Cited by
- 27
- References
- 11
- Citations by year
- 2026: 16 · 2025: 9 · 2024: 2
- FWCI
- 9.30
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Pharmacotherapy The Journal of Human Pharmacology and Drug Therapy (publishedVersion, cc-by-nc-nd)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Keywords
- underpowered studies, statistical power, sample size determination, publication bias, preregistration, reporting guidelines, rare events, hypothesis testing
- MeSH terms
- Data Interpretation, Statistical, Humans, Research Design, Publication Bias, Sample Size
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