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