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2014
DOI: 10.2466/11.it.3.1
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The Simple Difference Formula: An Approach to Teaching Nonparametric Correlation

Abstract: Although teaching effect sizes is important, many statistics texts omit the topic for the Mann-Whitney U test and the Wilcoxon signed-rank test. To address this omission, this paper introduces the simple difference formula. The formula states that the correlation equals the simple difference between the proportion of favorable and unfavorable evidence; in symbols this is r = f -u. For the Mann-Whitney U, the evidence consists of pairs. For the signed-rank test, the evidence consists of rank sums. Also, the for… Show more

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Cited by 383 publications
(314 citation statements)
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References 21 publications
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“…To allow for multiple comparisons, probability values less than 0.01 were regarded as significant. Effect size was calculated following Kerby [19] as a matched-pairs rank-biserial correlation. Thresholds for assessing effect size followed Cohen (2002), i.e.…”
Section: Methodsmentioning
confidence: 99%
“…To allow for multiple comparisons, probability values less than 0.01 were regarded as significant. Effect size was calculated following Kerby [19] as a matched-pairs rank-biserial correlation. Thresholds for assessing effect size followed Cohen (2002), i.e.…”
Section: Methodsmentioning
confidence: 99%
“…The association between the dichotomous and interval variables (Gender) can be tested by the rank-biserial correlation coefficient (Kerby, 2014). All the results on correlation or association are presented in Tab.…”
Section: Statistical Analysis and Resultsmentioning
confidence: 99%
“…Table 3 shows the average user scores for different methods together with the 95% confidence interval [43]. Besides, Table 4 shows the Wilcoxon signed-rank test results [42] by comparing the user scores of our approach with each of the compared method. Table 4 indicates the existence of significant user-score differences between our approach and the compared methods.…”
Section: Resultsmentioning
confidence: 99%