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A comprehensive guide to assist in selecting the appropriate statistical design based on data type and research objectives. Covers descriptive, correlational, experimental designs, and more methodologies.
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A SYSTEM FOR CHOOSING STATISTICS • What type of design do you have? • What do you want to find out? • What type of data do you have?
Type of Design: Descriptive • What is a typical score? • interval/ratio, no outliers: mean • ordinal or higher: median • nominal: mode • How spread out are the scores? • interval/ratio: standard deviation
Type of Design: Correlational • interval/ratio: Pearson r w/ test of sig. • ordinal: Spearman rho w/ test of sig. • dichotomous: Phi w/ test of sig. • interval/ratio & dichotomous: point biserial w/ test of sig.
Type of Design: Experimental, Between Subjects • Two Groups: • interval/ratio: Independent Samples t • ordinal: Wilcoxon Rank-Sum • nominal: Chi-Square Goodness of Fit
Type of Design: Experimental, Between Subjects • Three or More Groups: • interval/ratio: One-Way BS ANOVA • ordinal: Kruskal-Wallis ANOVA • nominal: Chi-Square Goodness of Fit
Type of Design: Experimental, Within Subjects or Matched Groups • Two Conditions: • interval/ratio: Dependent Samples t • ordinal: Wilcoxon T
Type of Design: Experimental, Within Subjects or Matched Groups • Three or More Conditions: • interval/ratio: RM ANOVA • ordinal: Friedman
Type of Design: Factorial, Two Independent Variables • Between Subjects: • interval/ratio: Two-Way BS ANOVA • ordinal: separate Kruskal-Wallis ANOVAs • nominal: Chi-Square Test of Independence
Type of Design: Factorial, Two Independent Variables • Within Subjects: • interval/ratio: Two-Way RM ANOVA • ordinal: separate Friedman tests
Type of Design: Factorial, Two Independent Variables • Mixed: • interval/ratio: Mixed ANOVA • ordinal: separate Kruskal-Wallis ANOVAs
Type of Design: Ex Post Facto or Non-Equivalent Control Group • Two Groups: • interval/ratio: Independent Samples t • ordinal: Wilcoxon Rank-Sum • nominal: Chi-Square Goodness of Fit
Type of Design: Ex Post Facto or Non-Equivalent Control Group • Three or More Groups: • interval/ratio: One-Way BS ANOVA • ordinal: Kruskal-Wallis ANOVA • nominal: Chi-Square Goodness of Fit
Type of Design: Interrupted Time Series • interval/ratio: One-Way RM ANOVA • ordinal: Friedman • nominal: Chi-Square Goodness of Fit
Type of Design: Multiple Time Series • interval/ratio: Mixed ANOVA • ordinal: separate Kruskal-Wallis ANOVAs • nominal: separate Chi-Square Goodness of Fit tests
Type of Design: Cross-Sectional • Two Age Groups: • interval/ratio: Independent Samples t • ordinal: Wilcoxon Rank-Sum • nominal: Chi-Square Goodness of Fit
Type of Design: Cross-Sectional • Three or More Age Groups: • interval/ratio: One-Way BS ANOVA • ordinal: Kruskal-Wallis ANOVA • nominal: Chi-Square Goodness of Fit
Type of Design: Longitudinal • Two Ages: • interval/ratio: Dependent Samples t • ordinal: Wilcoxon T
Type of Design: Longitudinal • Three or More Ages: • interval/ratio: RM ANOVA • ordinal: Friedman