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How to calculate the sample size to ensure the statistical power of the research?

October 30, 2025
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Calculating an appropriate sample size is essential to ensure a study has sufficient statistical power to detect a meaningful effect if it truly exists. It involves determining the minimum number of participants needed to achieve adequate sensitivity against Type II errors (failing to reject a false null hypothesis). The required sample size depends fundamentally on several parameters: the desired level of statistical power (commonly 0.80 or 80%), the chosen significance level (alpha, typically 0.05), the expected effect size (the magnitude of the difference or relationship to be detected), and sometimes the inherent variability within the population(s). Smaller effect sizes, lower significance levels, or higher power requirements necessitate larger samples. Appropriate formulas (e.g., z-test, t-test) or dedicated statistical software (e.g., G*Power) are used based on the specific research design and analysis plan. Assumptions regarding these parameters must be justified based on prior literature, pilot studies, or meaningful clinical/scientific relevance. For implementation, clearly define the primary outcome, its measurement scale, and the intended analysis. Specify target alpha, desired power (e.g., 0.80), and the minimally important effect size. Consult standard statistical formulas relevant to the study design (e.g., comparing means, proportions) or use validated software, inputting the required parameters. Finally, account for potential attrition rates by inflating the calculated size appropriately. A correctly estimated sample size enhances result credibility and research efficiency.
How to calculate the sample size to ensure the statistical power of the research?
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