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Why Sample Size Matters

Proper sample size determination is critical for medical device validation. Too few samples may fail to detect problems, while too many wastes resources. FDA and ISO standards require statistical justification for sample sizes in validation protocols.

Under-powered Study:

  • May miss true effects
  • Regulatory questions
  • Need to repeat study

Over-powered Study:

  • Wastes time and money
  • Delays product launch
  • Ethical concerns (human subjects)
Read Complete GuideDownload Tables (PDF)

Sample Size Calculator

Calculate required sample sizes for validation studies and statistical tests

Parameters

FDA typically requires 95% confidence for medical device validation

50%99%

Expected success rate or pass rate (e.g., 95% for most device validations)

±1%±10%

Acceptable precision (typical: ±5%)

For finite populations, enables finite population correction

Required Sample Size

n = 73

95% Confidence Interval:

90.0% to 100.0%

Interpretation:

With 73 samples, you can estimate the true success rate within ±5.0% with 95% confidence.

Medical Device Validation Examples

Electrical Safety Test

Requirement: 99% of devices pass leakage current test

Settings: p=0.99, margin=±2%, confidence=95%
Result: n ≈ 96 devices

Software Validation

Requirement: 95% test cases pass

Settings: p=0.95, margin=±5%, confidence=95%
Result: n ≈ 73 test cases

Note: Sample size calculations should be documented in your validation protocol. Consult with a statistician for complex study designs. FDA guidance documents (e.g., "Statistical Guidance on Reporting Results from Studies Evaluating Diagnostic Tests") provide additional requirements.

Choosing the Right Test Type

Proportion Test

Use when measuring binary outcomes (pass/fail, yes/no)

Examples:

  • Electrical safety test pass rate
  • Software validation test cases
  • Visual inspection acceptance
  • Patient treatment success rate
  • Device startup success rate

Typical: 95% confidence, ±5% margin

Mean Test

Use when measuring continuous variables (measurements with units)

Examples:

  • Blood pressure monitor accuracy
  • Temperature sensor calibration
  • Drug dosing accuracy
  • Component dimension tolerances
  • Response time measurements

Typical: 95% confidence, ±2σ margin

Validation Study

Use when comparing two groups or testing hypotheses

Examples:

  • Clinical efficacy vs. control
  • New design vs. predicate device
  • Treatment A vs. Treatment B
  • Usability task completion times
  • Before/after design changes

Typical: 80-90% power, 95% confidence

Regulatory Standards for Sample Sizes

FDA - Design Validation

FDA QMSR (ISO 13485 7.3.6) requires design validation with "actual or simulated use conditions" and demonstration that device meets user needs. Sample sizes must be "adequate" and statistically justified.

FDA guidance: "The number of samples tested should be sufficient to demonstrate that the device will consistently meet predetermined specifications under actual or simulated use conditions."

ISO 13485 - Statistical Techniques

Clause 8.1.2 requires documented rationale for sample sizes used in validation. Statistical methods must be appropriate for the data type and study objectives.

ISO guidance: "When sampling is used as a means of acceptance, sample size shall be based on recognized statistical principles and appropriate for the intended use of the product."

IEC 62366-1 - Usability Validation

Clause 7 recommends minimum 15 subjects per user group for usability validation, with higher numbers if use errors are observed or statistical analysis is required.

IEC guidance: "The sample size shall be sufficient to identify use errors and patterns of use errors."

ANSI/AAMI ST79 - Sterilization

Sterilization validation requires specific sample sizes based on sterility assurance level (SAL). Minimum 30 samples per cycle for initial qualification.

Standard requirement: "Three consecutive successful production runs with n≥30 per run for process validation."

Common Pitfalls to Avoid

❌ Using "30 samples" rule blindly

The "n=30" rule is a rough guideline, not a statistical requirement. Actual sample size depends on variability, confidence level, and margin of error.

❌ Ignoring statistical assumptions

Sample size formulas assume specific distributions (e.g., normal). If data is skewed, you may need larger samples or non-parametric methods.

❌ Not accounting for dropouts

In clinical studies, plan for 10-20% dropout rate. Calculate sample size, then increase by expected dropout percentage.

❌ Post-hoc sample size calculation

Sample size must be determined BEFORE conducting the study. Post-hoc calculations are statistically invalid and rejected by FDA.

❌ Confusing precision and power

Margin of error relates to precision of estimate. Statistical power relates to detecting true effects. These are different concepts.

❌ Not documenting assumptions

Document all assumptions (expected proportion, standard deviation, effect size) and their sources (pilot data, literature, engineering judgment).

✅ Best Practices

Document in Protocol

Include in validation protocol:

  • Sample size calculation method
  • All input parameters and assumptions
  • Source of estimates (pilot data, literature)
  • Statistical software used (if applicable)
  • Rationale for confidence level choice

Conduct Pilot Studies

Small preliminary studies help:

  • Estimate variability (standard deviation)
  • Refine test procedures
  • Identify potential issues early
  • Justify sample size calculations
  • Reduce risk of underpowered main study

Use Conservative Estimates

When uncertain:

  • Assume higher variability than expected
  • Use 95% confidence (not 90%) for safety-critical
  • Target 90% power (not 80%) for pivotal studies
  • Round up, not down
  • Plan for contingencies

Get Statistical Review

Have a statistician review:

  • Complex study designs (multi-arm, crossover)
  • Clinical trial protocols
  • Non-standard statistical methods
  • Regulatory submissions (510(k), PMA)
  • When in doubt - always consult an expert!

Related Tools

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Sample size affects control chart sensitivity (Coming Soon)