Determining sample size to achieve an acceptable level of power with a Shiny app

Music City Center 

This study presents a Shiny app designed to compute statistical power and visualize the non-central F distribution in the context of ANOVA. The app allows users to explore power analysis by manipulating key parameters, including population means, a single population standard deviation, sample sizes, and significance levels. By providing an interactive tool, students can dynamically adjust these inputs and observe the effects on statistical power, reinforcing their understanding of experimental design. The app aligns with the GAISE guidelines, supporting student learning through hands-on exploration of power analysis in one-way completely randomized designs. Additionally, the connection between non-centrality parameters and test statistics is illustrated, demonstrating how the pooled variance t-test is a special case of the F-test when comparing two treatments. This interactive approach enables students to design experiments with appropriate power and gain deeper insights into hypothesis testing.

Statistical Power

Shiny App

Non-central F Distribution

Significance Level

Experimental Design 

Section on Statistics and Data Science Education