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Sample Size Estimation in Clinical Research
Abstract
Sample size determination is an essential step in planning a clinical study. It is critical to understand that different study designs need different methods of sample size estimation. Although there is a vast literature discussing sample size estimation, incorrect or improper formulas continue to be applied. This article reviews basic statistical concepts in sample size estimation, discusses statistical considerations in the choice of a sample size for randomized controlled trials and observational studies, and provides strategies for reducing sample size when planning a study. To assist clinical researchers in performing sample size calculations, we have developed an online calculator for common clinical study designs. The calculator is available at http://riskcalc.org:3838/samplesize/. Finally, we offer our recommendations on reporting sample size determination in clinical studies.
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“This limits interpretation of the mixed findings reported across all of the trial outcomes (Wang & Ji, 2020).”
From A Systematic Review of Third-Wave Therapies to Reduce Distress and Improve Wellbeing and Quality of Life in People with Parkinson's Disease. (2025) · cites this paper as Wang & Ji, 2020
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“• Tax rates To accurately analyze and draw conclusions about the phenomenon under study, it was crucial to select a sample that could provide the necessary data (Hennink et al., 2019; Kitole et al., 2023; Theodory & kitole, 2024; Kothari, 2004; Wang & Ji, 2020).”
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MethodInfluentialFranchini, M., Mengoli, C., Casadevall, A., & Focosi, D. (2024) · Life · doi:10.3390/life14070792 · Cited by 2
“The ex ante determination of the minimum number of observations that have to be recorded is essential in order to detect a supposed treatment effect, and thus, it is closely related to the success or the failure of the trial [64].”
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“Sample size was calculated using the formula for cross-sectional studies: N = (Z α/2 σ/δ) 2 , where α = 0.05, thus Z α/2 = 1.96, σ = 2.56 points, and setting the tolerance error δ = 0.256 points (less than 20% of the estimated standard deviation) 38 .”
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“The sample size calculation is based on the primary endpoint, AUT of hypotension, and is conducted using the Sample Size Calculator of Cleveland Clinic [18].”
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“Sample size estimation approaches are dependent on study design and data type, calling for various methods fitting different scenarios (Wang and Ji 2020).”
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“44,45 With regard to patient-reported outcomes using the EpiTrack® and the QOLIE- 10-”
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“For AUC-ROC analysis, the Cleveland Clinic sample size calculator [13] was employed, assuming an AUC of 0.85 [9], α = 0.05, 95% power, and a 1:1 allocation ratio, requiring 20 children per group (total 40).”
InfluentialKhan, Z., Ali, G., Rumman, Ashraf, Naveed, A., Salam, S., Ullah, U., Ismail, A., & Altaf, A. (2025) · Cureus · doi:10.7759/cureus.86248 · Cited by 1
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“This can be due to a small sample size or a mediation effect [28].”
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“The z p is at 1.28 at 90% power [30].”
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“As per the suggestion in reference (Wang & Ji, 2020) a sample size of 116 is considered sufficient for data analysis when the following conditions are met: a population size of 120, a sample percentage of 10%, a margin of error of 5%, and a confidence level of 95%.”
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“For achieving an 80% power at the 5% level of significance with equal allocation and 10% dropout, the sample size is 26 patients in each group [27].”
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“The calculation was performed using the Sealed Envelope (Sealed Envelope Ltd) online sample size calculator based on standard formulas for comparing 2 independent means [27].”
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“Taking [14,15] into consideration the rate of non-participation and incompletely fi lled questionnaire as 10%, the calculated sample size was 596.”
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“…of relationship behaviors also exist (Weiss and Heyman 2004); however, one noticeable limitation to observational measures is that they are much more difficult to collect in large samples due to the significant time needed to individually schedule and conduct observations (Wang and Ji 2020).”
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“Nevertheless, these oral health indicators have demonstrated adequate validity and reliability, and the large sample size enhances the study’s statistical power [71,72].”
Sridharan, S., Png, N., Seah, A., Venkataraman, N., Sng, K. S. H., Lim, W.-K., Goh, H., Goh, Y.-X., Ta, A., Wong, K.-M., et al. (2026) · Journal of Medical Internet Research · doi:10.2196/92181
“On the basis of pilot data from 193 radiographs, a sample size was calculated to achieve 90% power with a 95% CI [22].”
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“The required sample size was calculated using the formula: with a type I error rate set at α = 5% (two-sided) and a type II error rate set at β = 10% (corresponding to 90% statistical power) [32].”
Min, K., Ma, R., Fu, L., Ziyan, M., Li, Q., & Juntao, Y. (2026) · Archives of Public Health · doi:10.1186/s13690-026-02032-9
“We used the sample size calculator developed by Wang et al. [28] to estimate the minimum required sample size.”
Marcos-Pérez, D., Cruces‐Salguero, S., Saeteros, M., Molina, R. G., Córcoles, R. A., Alonso‐Bouzón, C., Vergara, I., Sanabria, S. J., Rodríguez‐Mañas, L., Abizanda, P., et al. (2026) · Journal of Cachexia Sarcopenia and Muscle · doi:10.1002/jcsm.70362
“The sample size was calculated using RiskCalc (Moody's Analytics) [27].”
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“To draw more meaningful conclusions and enhance the generalisability of results, there is a pressing need to expand trials into full randomised controlled trials (RCTs) with larger sample sizes (90).”
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“Sample size calculation of this study referred to the methods of previous clinical studies (Serdar et al., 2021; Wang and Ji, 2020) .”
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“Using the sample size calculation formula and referring to Fundamentals of Sample Size Estimation in Clinical Research [37,38], with a significance level of a = 0.05 (2-tailed) and a statistical power of 1 - b = 0.8 ( b = 0.2), the required sample size per group was calculated to be 26 participants.”
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“A two-sided Pearson’s chi-squared test with α = 0.05 and 80% statistical power indicated that at least 130 participants were required in each group [18,19].”
Influential
Metadata
- Authors
- Wang, X., & Ji, X.
- Affiliations
- Cleveland Clinic (US)
- Corresponding author
- Wang, Xiaofeng
- ORCID
- Wang, Xiaofeng
- Venue
- Chest
- Publisher
- Elsevier BV
- Published
- 2020-07
- Volume
- 158
- Issue
- 1
- Pages
- S12-S20
- ISSN
- 0012-3692 (ISSN-L)
- OpenAlex
- W3039422431
- Cited by
- 452
- References
- 0
- Citations by year
- 2026: 87 · 2025: 105 · 2024: 121 · 2023: 76 · 2022: 36 · 2021: 22 · 2020: 4
- FWCI
- 24.19
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- CHEST Journal (publishedVersion)
- 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
- sample size determination, randomized controlled trials, observational studies, clinical research design, statistical power
- MeSH terms
- Humans, Research Design, Randomized Controlled Trials as Topic, Sample Size, Observational Studies as Topic
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