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Do multiple outcome measures require p-value adjustment?
Open accessAbstract
BACKGROUND: Readers may question the interpretation of findings in clinical trials when multiple outcome measures are used without adjustment of the p-value. This question arises because of the increased risk of Type I errors (findings of false "significance") when multiple simultaneous hypotheses are tested at set p-values. The primary aim of this study was to estimate the need to make appropriate p-value adjustments in clinical trials to compensate for a possible increased risk in committing Type I errors when multiple outcome measures are used. DISCUSSION: The classicists believe that the chance of finding at least one test statistically significant due to chance and incorrectly declaring a difference increases as the number of comparisons increases. The rationalists have the following objections to that theory: 1) P-value adjustments are calculated based on how many tests are to be considered, and that number has been defined arbitrarily and variably; 2) P-value adjustments reduce the chance of making type I errors, but they increase the chance of making type II errors or needing to increase the sample size. SUMMARY: Readers should balance a study's statistical significance with the magnitude of effect, the quality of the study and with findings from other studies. Researchers facing multiple outcome measures might want to either select a primary outcome measure or use a global assessment measure, rather than adjusting the p-value.
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“Due to this statistical approach and to decrease the chances of making a Type 1 error, the criterion for significance was set at p ≤ 0.01 [32].”
From The Effects of an Eight over Cricket Bowling Spell upon Pace Bowling Biomechanics and Performance within Different Delivery Lengths (2019) · cites this paper as [32]
In the citing paper
“However, given that the approach here is of planned comparisons, where all analyses are pre-specified, it is not necessarily appropriate to apply these corrections (Feise, 2002; Schulz and Grimes, 2005).”
From Sleep duration and psychotic experiences in patients at risk of psychosis: a secondary analysis of the EDIE-2 trial (2019) · cites this paper as Feise, 2002
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“The overall α level was set at 0.05, using Bonferroni's criterion for the primary outcome but not for the secondary outcomes, to balance between type I and type II error (Feise, 2002).”
From Efficacy of 8- and 4-Session Mindfulness-Based Interventions in a Non-clinical Population: A Controlled Study (2017) · cites this paper as Feise, 2002
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Cites
A Simple Sequentially Rejective Multiple Test Procedure
(1979) · Scandinavian Journal of Statistics · doi:10.2307/4615733 · Cited by 21,526
No adjustments are needed for multiple comparisons.
Rothman, K. J. (1990) · Epidemiology · doi:10.1097/00001648-199001000-00010 · Cited by 5,965
What's wrong with Bonferroni adjustments
Perneger, T. V. (1998) · BMJ · doi:10.1136/bmj.316.7139.1236 · Cited by 5,900
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Rectangular Confidence Regions for the Means of Multivariate Normal Distributions
Šidák, Z. (1967) · Journal of the American Statistical Association · doi:10.1080/01621459.1967.10482935 · Cited by 2,904
An improved Bonferroni procedure for multiple tests of significance
SIMES, R. J. (1986) · Biometrika · doi:10.1093/biomet/73.3.751 · Cited by 2,396
Multiple Comparison Procedures
Hahs-Vaughn, D., & Lomax, R. (2013) · Routledge eBooks · doi:10.4324/9780203137819-17 · Cited by 2,132
A Stagewise Rejective Multiple Test Procedure Based on a Modified Bonferroni Test
Hommel, G. (1988) · Biometrika · doi:10.1093/biomet/75.2.383 · Cited by 1,367
Adjusting for multiple testing when reporting research results: the Bonferroni vs Holm methods.
Aickin, M., & Gensler, H. (1996) · American Journal of Public Health · doi:10.2105/ajph.86.5.726 · Cited by 1,346
ON THE USE AND INTERPRETATION OF CERTAIN TEST CRITERIA FOR PURPOSES OF STATISTICAL INFERENCE
Neyman, J., & Pearson, E. S. (1928) · Biometrika · doi:10.1093/biomet/20a.3-4.263 · Cited by 1,164
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Metadata
- Authors
- Feise, R. J.
- Corresponding author
- Feise, Ronald J
- ORCID
- Feise, Ronald J
- Venue
- BMC Medical Research Methodology
- Published
- 2002-06-17
- Volume
- 2
- Issue
- 1
- Pages
- 8-8
- ISSN
- 1471-2288 (ISSN-L)
- PMC
- PMC117123
- OpenAlex
- W2139498473
- Cited by
- 1,299
- References
- 42
- Citations by year
- 2026: 55 · 2025: 67 · 2024: 75 · 2023: 101 · 2022: 79 · 2021: 133 · 2020: 95 · 2019: 115 · 2018: 83 · 2017: 98 · 2016: 72 · 2015: 45 · 2014: 47 · 2013: 33 · 2012: 32
- FWCI
- 5.75
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- BMC Medical Research Methodology (publishedVersion)
- Europe PMC (PubMed Central) (publishedVersion, other-oa)
- PubMed Central (publishedVersion, other-oa)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Keywords
- p-value adjustment, type I error, multiple comparisons, clinical trials, primary outcomes, statistical significance, sample size
- MeSH terms
- Clinical Trials as Topic, Data Interpretation, Statistical, Humans, Confidence Intervals, Treatment Outcome
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