Analyses Types, Tests, and Concepts

1. Types of Power Analyses
   
   
   • A-Priori Power Analyses
   • Post-Hoc Power Analyses
   • Compromise Power Analyses
     
     
2. List of Tests
   
   
   • t-Test on Means
     
     Two group t-test, equal group sizes, equal sigma
     Two group t-test, unequal group sizes, equal sigma
     Two group t-test, equal group sizes, unequal sigma
     
   • t-Test on Correlations
     
   • Other t-Tests
     
     Matched-Pairs t-Test
     One-Sample t-Test
     z-Test
     Wilcoxon-Mann-Whitney U test (plus hints for other nonparametric tests)
     
   • F-Test (ANOVA)
     
     ANOVA, Fixed Effects: Single-Factor Designs
     ANOVA, Fixed Effects: Multi-Factor Designs
     ANOVA, Planned Comparisons
     Analysis of Covariance (ANCOVA)
     
   • F-Test (MCR)
     
     MCR, One Predictor Set
     MCR, Two Predictor Sets
     
   • Other F-Tests
     
     MANOVA
     Repeated Measures Designs, Univariate Approach
     Repeated Measures Designs, Multivariate Approach
     
   • Chi-Square Tests
     
     Chi-Square, Goodness-of-Fit-Tests
     Chi-Square, Contingency Tests
     
     
3. Theoretical Concepts
   
   
   • One-Tailed versus Two-Tailed Tests
   • The Alpha Error Probability
   • Power and the Beta Error Probability
   • Effect Size
   • Total Sample Size
   • The Ratio q:=b/a
   • The Noncentrality Parameter
   • Critical Value
   • A Relation among Sample Size, Effect Size and Noncentrality Parameters
     
     

Please report suggestions for improvements to Axel Buchner, Franz Faul, or Edgar Erdfelder.