Statistical Analysis for Education and Psychology Researchers

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Chapter 7


Inferences Involving Rank Data


One-sample Tests (two measures)^


7.1 Correlation an overview 207


7.2 Spearman’s rho (rank order correlation coefficient) 210


One-sample test for correlation with nonparametric ranked data.


7.3 Runs test 217


One-sample test for randomness in an observed sequence (order) of events when

eachevent can be coded as binary.^


Two-sample Tests^


7.4 Wilcoxon Mann-Whitney Test 221


A non-parametric equivalent to the independent t-test and should be considered

when data can be ranked.^


7.5 Wilcoxon Signed Ranks test (for related data) 230


An alternative nonparametric test to the sign test or related t-test when data can

be ranked.^


Multiple-sample Tests^


One independent variable


7.6 Kruskal-Wallis One-way ANOVA 236


A nonparametric equivalent to a one-way ANOVA for independent samples, and

is used when data is ranked.^


7.7 Friedman’s ANOVA by ranks (for related data) 243


A nonparametric equivalent to a related ANOVA and is used when data is

ranked.^

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