Hypothesis Testing and Statistical Power of a Test

Hun Myoung Park
Spring 2008
Revised Summer 2010

For the latest revision, see the pdf format.

Table of Contents

  • 1. Hypothesis Testing
  • 2. Type II Error and Statistical Power of a Test
  • 3. Components of the Statistical Power Analysis
  • 4. An Example of Statistical Power
  • 5. Software Issues
  • 6. Applications: Comparing Means and Proportions
    • 6.1 Statistical Power of a one-sample T-test
    • 6.2 Minimum Sample Size for a One-sample T-test
    • 6.3 Statistical Power and Sample Size of a Paired-sample T-test
    • 6.4 Statistical Power and Sample Size of an Independent Sample T-test
    • 6.5 Advanced Features of SAS POWER and GLMPOWERM
    • 6.6 Statistical Power and Sample Size of Comparing a Proportion
    • 6.7 Statistical Power and Sample Size of Comparing Two Proportions
  • 7. Applications: ANOVA and Linear Regression
    • 7.1 Statistical Power and Sample Size of a One-way ANOVA
    • 7.2 Statistical Power and Sample Size of a Two-way ANOVA
  • 8. Conclusion
  • References

This document is designed to help beginners conceptually understand the statistical power of a test using SAS, G*Power, and Stata.

The citation of this document should read: "Park, Hun Myoung. 2008. Hypothesis Testing and Statistical Power of a Test. Technical Working Paper. The University Information Technology Services (UITS) Center for Statistical and Mathematical Computing, Indiana University."