Encyclopedia of Statistical Sciences 2004
DOI: 10.1002/0471667196.ess5050
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S pearman Correlation Coefficients, Differences between

Abstract: Testing the equality of two population correlation coefficients when the data are bivariate normal and Pearson correlation coefficients are used as estimates of the population parameters is a straightforward procedure covered in many introductory statistics courses. The coefficients are converted using Fisher's z ‐transformation with standard errors ( N  − 3) −1/2 . The two transformed values are then compared using a standard normal proce… Show more

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Cited by 253 publications
(123 citation statements)
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“…We observed a similar pattern when zygomaticus activity in reaction to true and false smiles was correlated with the outputs of the smile detector, respectively rs (18) = .57, p  = .009; rs (18) = .81, p <.001. Using the standard Fisher's z-transformation and subsequent comparison of Spearman coefficients [40] did not reveal significant differences in the degree of participant-target synchrony for genuine and false smiles ( z  = −0.75, p  = .23 for AU 12; z  = −1.38, p  = .084 for the smile detector).…”
Section: Resultsmentioning
confidence: 95%
“…We observed a similar pattern when zygomaticus activity in reaction to true and false smiles was correlated with the outputs of the smile detector, respectively rs (18) = .57, p  = .009; rs (18) = .81, p <.001. Using the standard Fisher's z-transformation and subsequent comparison of Spearman coefficients [40] did not reveal significant differences in the degree of participant-target synchrony for genuine and false smiles ( z  = −0.75, p  = .23 for AU 12; z  = −1.38, p  = .084 for the smile detector).…”
Section: Resultsmentioning
confidence: 95%
“…Comparisons were conducted using Fisher’s z-transformation, followed by standard normal comparison. The suitability of this test for Spearman’s correlations is discussed in Myers and Sirois (2006).* P < 0.05.** P < 0.01.*** P < 10 −6 .…”
Section: Resultsmentioning
confidence: 99%
“…If the mean correlations were higher for the experienced than the naïve group, one would infer that experience with art confers greater agreement in the assessment of attributes in these paintings. Second, Spearman rank correlations were treated as Pearson coefficients and Fisher transformations were applied to test for group correlation differences (Myers & Sirois, 2006).…”
Section: Discussionmentioning
confidence: 99%