Advanced Statistics Session: Which tool do I use? Institute on Teaching and Mentoring Lewis VanBrackle, Ph.D. Professor of Statistics October 30, 2009

Which Tool Do I Use? In this session, we will be discussing the core tools in the statistical toolbox that you will need to defend your hypotheses.

Prior to thinking about your statistical toolbox, you should have completed the following: 1.Identified your research question(s) 2.Developed a theoretical representation of your model 3.Identified the data to be collected… Which Tool Do I Use?

Independent T-test Mann-Whitney Test Paired T-test Wilcoxon Matched Pairs One Way ANOVA Kruskall Wallis Test Repeated Measures ANOVA Friedman’s ANOVA Pearson Correlation or Regression Spearman Correlation or Kendall’s Tau Ind. Factorial ANOVA or Regression Factorial Repeated Measures ANOVA Factorial Mixed ANOVA Multiple Regression Multiple Regression/ANCOVA Pearson Chi-Square or Likelihood Ratio Logistic Regression Loglinear Analysis MANOVA Factorial MANOVA MANCOVA Yes No Yes No Yes No Yes No Yes No Yes Different Same Both Different Same Different Yes Different Two Three + Categorical Continuous Both Categorical Both Continuous Categorical Continuous Categorical Continuous One Two + One Two + One Two + Continuous Categorical Continuous Two + How Many DependentVariables? One What Type Of Dependent Outcome? How Many Predictors? What type Of predictors? If Categorical Predictor, How many Categories? If Categorical Predictor, Same Participants or Different in each category? Does Data Meet Parametric Assumptions? ANALYSIS TOOL Logistic Regression/Discriminant