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    Sample Size and Statistical Power

    Pre-trial calculation of the number of subjects needed to detect a specified treatment effect with acceptable Type I and Type II error rates.

    Reviewed by Christian Espinosa, Founder, Blue Goat CyberLast reviewed May 9, 2026

    Definition

    Sample size and power calculations determine how many subjects a clinical trial must enroll to detect a pre-specified effect size with acceptable false-positive (Type I error, alpha, typically 0.05 two-sided) and false-negative (Type II error, beta, typically 0.20, i.e., 80% power) rates. Inputs include the expected effect size, the variance of the outcome, the test statistic, allocation ratio, and any planned interim analyses. Under-powered trials are a leading cause of inconclusive pivotal studies.
    What the regulation says
    FDA Guidance: 'Statistical Guidance on Reporting Results from Studies Evaluating Diagnostic Tests' and ICH E9 'Statistical Principles for Clinical Trials' both require pre-specified sample-size justification in the protocol.

    What this means in practice

    MedTech pivotal trials commonly target 80-90% power for the primary endpoint. Adaptive designs and Bayesian designs allow for sample-size re-estimation under pre-specified rules.

    Examples

    • To evaluate a new surgical robot's ability to reduce recovery time, researchers calculated that 250 patients per arm were needed to detect a 1-day reduction with 80% power and a 5% Type I error rate.
    • A MedTech company developing a novel implantable sensor performs a sample size calculation to ensure its pivotal trial can detect a statistically significant improvement in a specific physiological marker compared to standard care.
    • During the design of a clinical trial for a new therapeutic device, an adaptive design allowed for sample size re-estimation after an interim analysis, adjusting the recruitment target while maintaining statistical power and controlling for Type I error.
    Common pitfalls
    • •Powering only the primary endpoint and finding the trial cannot answer key secondary endpoints used for label or HEOR.
    • •Optimistic effect-size assumptions that produce a too-small sample size.

    Frequently asked questions

    The calculation requires the expected effect size for the primary endpoint, the variance of that outcome measure, the chosen statistical test and allocation ratio between study arms, the acceptable Type I error rate (alpha, conventionally 0.05 two-sided), and the acceptable Type II error rate (beta, conventionally 0.20, corresponding to 80 percent power), all of which must be pre-specified in the protocol per ICH E9. Any planned interim analyses must also be accounted for in the calculation, since they affect the overall error rate spent across the trial.
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    Sources

    3 sources

    Sources support the definition or relevant regulatory context, not necessarily every claim on this page. Each is graded against our source-tier hierarchy so you can see what rests on binding law versus commentary.

    Tier 2Regulator guidance and consensus· 2Tier 3Peer-reviewed and registry evidence· 1
    Link health: 3 verified· last checked 2026-06-20
    ICH·1FDA·1NIH·1
    1. 1
      ICH E9 Statistical Principles
      Tier 2 Verified
      ICHich.org
    2. 2
      FDA Guidance, Adaptive Designs for Clinical Trials (2019)
      Tier 2 Verified
      FDAfda.gov
    3. 3
      ClinicalTrials.gov
      Tier 3 Verified
      NIHclinicaltrials.gov

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