1957
DOI: 10.1093/biomet/44.3-4.470
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Tests for Rank Correlation Coefficients. I

Abstract: Both r, and rK lie between + 1 and-1. We shall not be concerned liere with ties among the u's or v's. The followiiig is a third coefficient which has been computed for all the sampling data and which we hope to consider later: (c) The Fisher-Ya.tes coefficient. Let ((i / n) be a so-called normal order statistic, i.e. the

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Cited by 315 publications
(155 citation statements)
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“…The lowest mean GR (24.8%) was recorded in 2014 at Wenjiang, whereas the highest mean GR (60.8%) was recorded in 2012 at Ya’an (Supplementary Table S3). The GR was highly correlated across environments ( r = 0.54–0.80) based on the two-tailed Pearson product-moment correlation coefficient test (Fieller et al, 1957) ( Table 1 ). A total of 194 landraces exhibited a mean GR < 20.0%, of which 23 landraces displayed consistently dormant phenotypes across all six environments (Supplementary Table S2).…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The lowest mean GR (24.8%) was recorded in 2014 at Wenjiang, whereas the highest mean GR (60.8%) was recorded in 2012 at Ya’an (Supplementary Table S3). The GR was highly correlated across environments ( r = 0.54–0.80) based on the two-tailed Pearson product-moment correlation coefficient test (Fieller et al, 1957) ( Table 1 ). A total of 194 landraces exhibited a mean GR < 20.0%, of which 23 landraces displayed consistently dormant phenotypes across all six environments (Supplementary Table S2).…”
Section: Resultsmentioning
confidence: 99%
“…One-Way Analysis of variance (ANOVA) of GR for accessions derived from the 10 Chinese wheat-growing zones, which was performed by Duncan’s multiple test in each phenotyping tested environment. Two-tailed Pearson product-moment correlation coefficient tests were also carried out for GR obtained across the six environments (Fieller et al, 1957). …”
Section: Methodsmentioning
confidence: 99%
“…In this context, the Fisher z-transformation function serves as a normalizing transformation. The variance of the resulting z-scores depends on whether the sample correlation coefficient is the Pearson product-moment correlation coefficient (r p ) or the Spearman’s rank correlation coefficient (r s ) [24]. When the underlying distribution is assumed to be bivariate normally distributed, the variance can be calculated bywhere n is the sample size of the calculated correlation.…”
Section: Methodsmentioning
confidence: 99%
“…Notably, the variance of the correlation coefficients in a particular condition could differ due to a different number of samples or due to missing data in one or both of the genes’ expression measurements. These equations for the variance have been found to be valid over a wide range of sample sizes that are common in current biological data sets [24]. Due to the denominator, the equations require that there are at least 4 samples in each condition considered.…”
Section: Methodsmentioning
confidence: 99%
“…The non-parametric Mann-Whitney U test (31) as well as the Kruskal-Wallis test (32) were used to investigate significant differences between the patient groups. The Spearman's rank correlation coefficient test was performed for correlation analyses (33). Visualization of the qPCR data was performed using the GraphPad Prism 5.…”
Section: Methodsmentioning
confidence: 99%