Sample Size Calculator
Determine the optimal number of participants for your research study.
Enter Study Parameters
Usually 95%. Use 99% for high precision.
Safety margin for lost participants (10-20%).
Required Sample Size:
0
Total Participants
Why Sample Size Matters?
Calculating the correct sample size is the most critical step in research methodology. If your sample is too small, you may miss a significant finding (Type II Error). If it is too large, you waste resources and time.
Choosing the Right Formula
This calculator automatically selects the correct formula based on your study design:
| Study Design | Typical Formula Used | Key Input Required |
|---|---|---|
| Descriptive / Prevalence | Cochran's Formula (n = Z2pq / d2) | Prevalence (p), Precision (d) |
| Descriptive / Mean | Estimation of Mean (n = Z2σ2 / d2) | Standard Deviation (σ), Precision (d) |
| RCT / Case Control | Difference of Proportions | P1 (Control), P2 (Intervention), Power |
Common Terms Explained
- Confidence Level (1-α): Usually set at 95%. It means you are 95% confident that the true population value lies within your interval.
- Power (1-β): Usually set at 80%. It is the probability of correctly rejecting the null hypothesis when it is false.
- Precision (d): Also called the margin of error. For prevalence studies, this is often set at 5% (0.05).
Application in Medical Research
Whether you are conducting a cross-sectional survey on diabetes prevalence or a randomized controlled trial (RCT) for a new drug, accurate sample size estimation ensures your study is scientifically valid and ethically sound.