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Research Paper | Statistics | Saudi Arabia | Volume 12 Issue 8, August 2023

Analyzing the Impact of Sample Size and Population Distribution on Statistical Test Power

Ashraf Hassan Idris Brama | Monastir Abbas Ahmed

Abstract: This study investigates the influence of sample size and population distribution on the statistical power of tests, aiming to determine the optimal size that yields significant results. Utilizing a descriptive analytical approach, the researcher generated 10, 000 random units using the Pass12 program. Findings reveal that statistically normal distributions exhibit higher power, particularly for small sample sizes, compared to non-normal distributions. Regularly distributed data require larger samples for adequate power, while logistic distributions demonstrate increased statistical test power with larger sample sizes. The study underscores the significance of tailoring sample sizes to population distribution types to enhance test power, along with employing estimates to minimize standard deviation and mitigate skewness for improved statistical outcomes.

Keywords: statistical power, sample size, population distribution, normal distribution, logistic distribution

Edition: Volume 12 Issue 8, August 2023,

Pages: 2383 - 2390