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Advanced Statistics Session: Which tool do I use?Advanced Statistics Session: Which tool do I use?
Institute on Teaching and MentoringInstitute on Teaching and Mentoring
Lewis VanBrackle, Ph.D.Lewis VanBrackle, Ph.D.
Professor of StatisticsProfessor of Statistics
October 30, 2009October 30, 2009
Which Tool Do I Use?Which Tool Do I Use?
In this session, we will be discussing In this session, we will be discussing the core tools in the statistical toolbox the core tools in the statistical toolbox that you will need to defend your that you will need to defend your hypotheses. hypotheses.
Prior to thinking about your statistical Prior to thinking about your statistical toolbox, you should have completed toolbox, you should have completed the following:the following:
1.1.Identified your research question(s)Identified your research question(s)
2.2.Developed a theoretical Developed a theoretical representation of your modelrepresentation of your model
3.3.Identified the data to be collected…Identified the data to be collected…
Which Tool Do I Use?Which Tool Do I Use?
Independent T-testIndependent T-test
Mann-Whitney TestMann-Whitney Test
Paired T-testPaired T-test
Wilcoxon Matched PairsWilcoxon Matched Pairs
One Way ANOVAOne Way ANOVA
Kruskall Wallis TestKruskall Wallis Test
Repeated Measures ANOVARepeated Measures ANOVA
Friedman’s ANOVAFriedman’s ANOVA
Pearson Correlation or RegressionPearson Correlation or Regression
Spearman Correlation or Kendall’s TauSpearman Correlation or Kendall’s Tau
Ind. Factorial ANOVA or RegressionInd. Factorial ANOVA or Regression
Factorial Repeated Measures ANOVAFactorial Repeated Measures ANOVA
Factorial Mixed ANOVAFactorial Mixed ANOVA
Multiple RegressionMultiple Regression
Multiple Regression/ANCOVAMultiple Regression/ANCOVA
Pearson Chi-Square or Likelihood RatioPearson Chi-Square or Likelihood Ratio
Logistic RegressionLogistic Regression
Loglinear AnalysisLoglinear Analysis
MANOVAMANOVA
Factorial MANOVAFactorial MANOVA
MANCOVAMANCOVA
YesYes
NoNo
NoNo
YesYes
NoNo
YesYes
YesYes
YesYes
YesYes
YesYes
YesYes
YesYes
NoNo
YesYes
NoNo
YesYes
NoNo
YesYes
DifferentDifferent
SameSame
SameSame
BothBoth
DifferentDifferent
DifferentDifferent
DifferentDifferent
SameSame
DifferentDifferent
YesYes
DifferentDifferent
TwoTwo
Three +Three +
CategoricalCategorical
ContinuousContinuous
BothBoth
CategoricalCategorical
CategoricalCategorical
BothBoth
BothBoth
ContinuousContinuous
CategoricalCategorical
ContinuousContinuous
CategoricalCategorical
CategoricalCategorical
ContinuousContinuous
OneOne
Two +Two +
OneOne
Two +Two +
OneOne
Two +Two +
ContinuousContinuous
CategoricalCategorical
ContinuousContinuousTwo +Two +
How Many How Many DependentDependentVariables?Variables?
OneOne
What TypeWhat TypeOf DependentOf DependentOutcome?Outcome?
How ManyHow ManyPredictors?Predictors?
What type What type Of predictors? Of predictors?
If Categorical If Categorical Predictor,Predictor,How many How many Categories? Categories?
If Categorical If Categorical Predictor,Predictor,Same Participants Same Participants or Different in each or Different in each category? category?
Does Data Does Data MeetMeetParametric Parametric Assumptions? Assumptions?
ANALYSIS TOOL ANALYSIS TOOL
Logistic Regression/DiscriminantLogistic Regression/Discriminant