Chapter 14 Nonparametric Statistics Chapter Organization
Chapter 14 Nonparametric Statistics
Chapter Organization
Nonparametric Statistical Tests Used when assumptions for parametric statistical tests can’t be met: • At least interval measurement • Normality • Homoscedasticity
Typically somewhat less powerful than parametric counterparts but still extremely useful in certain situations.
Organization Parametric Test
Nonparametric Equivalent Level of Measurement Nominal
Tests of Association Pearson’s r
Tests of Significant Differences One-sample case Two-sample case Independent t-test
Phi coefficient and kappa coefficient of agreement
Repeated-measures ANOVA
Spearman rank order correlation coefficient and Kendall coefficient of concordance
Binomial test and chi-squared test of goodness of fit Chi-squared for two independent samples
Median test and Mann-Whitney U test Sign test and Wilcoxon signed ranks test
Chi-squared for n-independent samples Cochran’s Q test
Kruskal-Wallis test for independent samples Friedman two-way ANOVA by ranks test
Dependent t-test N-sample case Independent-groups ANOVA
Ordinal
Organization Parametric Test
Nonparametric Equivalent Level of Measurement Nominal
Tests of Association Pearson’s r
Tests of Significant Differences One-sample case Two-sample case Independent t-test
Phi coefficient and kappa coefficient of agreement
Repeated-measures ANOVA
Spearman rank order correlation coefficient and Kendall coefficient of concordance
Binomial test and chi-squared test of goodness of fit Chi-squared for two independent samples
Median test and Mann-Whitney U test Sign test and Wilcoxon signed ranks test
Chi-squared for n-independent samples Cochran’s Q test
Kruskal-Wallis test for independent samples Friedman two-way ANOVA by ranks test
Dependent t-test N-sample case Independent-groups ANOVA
Ordinal
Organization Parametric Test
Nonparametric Equivalent Level of Measurement Nominal
Tests of Association Pearson’s r
Tests of Significant Differences One-sample case Two-sample case Independent t-test
Phi coefficient and kappa coefficient of agreement
Repeated-measures ANOVA
Spearman rank order correlation coefficient and Kendall coefficient of concordance
Binomial test and chi-squared test of goodness of fit Chi-squared for two independent samples
Median test and Mann-Whitney U test Sign test and Wilcoxon signed ranks test
Chi-squared for n-independent samples Cochran’s Q test
Kruskal-Wallis test for independent samples Friedman two-way ANOVA by ranks test
Dependent t-test N-sample case Independent-groups ANOVA
Ordinal
Chapter Organization
Nonparametric Statistical Tests Used when assumptions for parametric statistical tests can’t be met: • At least interval measurement • Normality • Homoscedasticity
Typically somewhat less powerful than parametric counterparts but still extremely useful in certain situations.
Organization Parametric Test
Nonparametric Equivalent Level of Measurement Nominal
Tests of Association Pearson’s r
Tests of Significant Differences One-sample case Two-sample case Independent t-test
Phi coefficient and kappa coefficient of agreement
Repeated-measures ANOVA
Spearman rank order correlation coefficient and Kendall coefficient of concordance
Binomial test and chi-squared test of goodness of fit Chi-squared for two independent samples
Median test and Mann-Whitney U test Sign test and Wilcoxon signed ranks test
Chi-squared for n-independent samples Cochran’s Q test
Kruskal-Wallis test for independent samples Friedman two-way ANOVA by ranks test
Dependent t-test N-sample case Independent-groups ANOVA
Ordinal
Organization Parametric Test
Nonparametric Equivalent Level of Measurement Nominal
Tests of Association Pearson’s r
Tests of Significant Differences One-sample case Two-sample case Independent t-test
Phi coefficient and kappa coefficient of agreement
Repeated-measures ANOVA
Spearman rank order correlation coefficient and Kendall coefficient of concordance
Binomial test and chi-squared test of goodness of fit Chi-squared for two independent samples
Median test and Mann-Whitney U test Sign test and Wilcoxon signed ranks test
Chi-squared for n-independent samples Cochran’s Q test
Kruskal-Wallis test for independent samples Friedman two-way ANOVA by ranks test
Dependent t-test N-sample case Independent-groups ANOVA
Ordinal
Organization Parametric Test
Nonparametric Equivalent Level of Measurement Nominal
Tests of Association Pearson’s r
Tests of Significant Differences One-sample case Two-sample case Independent t-test
Phi coefficient and kappa coefficient of agreement
Repeated-measures ANOVA
Spearman rank order correlation coefficient and Kendall coefficient of concordance
Binomial test and chi-squared test of goodness of fit Chi-squared for two independent samples
Median test and Mann-Whitney U test Sign test and Wilcoxon signed ranks test
Chi-squared for n-independent samples Cochran’s Q test
Kruskal-Wallis test for independent samples Friedman two-way ANOVA by ranks test
Dependent t-test N-sample case Independent-groups ANOVA
Ordinal
