Kendall's tau

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Noun1.Kendall's tau - a nonparametric measure of the agreement between two rankings
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
Kendall test - any of several nonparametric measures of correlation (used when the assumptions of standard correlational analysis are not met)
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The researchers observed a decrease in the overall rates of cervical cancer cases over time, with a Kendall's Tau B of −0.85 and −0.68 for patients aged 20 to 49 years and for those aged 75 years and older, respectively, using SEER-18 data.
Secondly, Kendall's tau rank correlation coefficient ([tau]) [34] is used to quantify the correctness of the ranking methods.
Test/Station Verghereto Bedonia Conselice Nord Kendall's tau 0.45 0.61 0.61 S 663.00 911.00 899.00 Var(S) 18975.00 18975.00 18975.00 p value (two-tailed) <0.0001 <0.0001 <0.0001 Alpha 0.05 0.05 0.05 Test/Station Reggio Emilia Vigoleno Abetone Kendall's tau 0.51 0.49 0.46 S 751.00 723.00 687.00 Var(S) 18975.00 18975.00 18975.00 p value (two-tailed) <0.0001 <0.0001 <0.0001 Alpha 0.05 0.05 0.05 Table 3: The Mann-Kendall trend test statistic applied for annual minimum temperature observations.
Therefore, correlation coefficient 'Kendall's tau b' was determined to explore any association between the respondents' e-journal's use, their e-literacy skills, education and academic designation.
"The curve of increasing needle fear correlated strongly with increasing vaccine number," they found (Kendall's tau b = 0.747; 95% CI, 0.513-0.982; P = .0003).
Kendall's tau analysis also provides rank on the strength of the variables constructing the factor which is represented by the correlation coefficient (Pallant, 2007).
Since the frequency distribution of data is positively skewed (skewnes = 2.53) and with high kurtosis (8.52), the normal distribution was ruled out and for correlation ranks Kendall's tau was introduced (Kowalski, 1972; Newson, 2002; Fredricks and Nelsen, 2004).
Statistic analysis with the help of Kendall's tau coefficient test has shown that there is weak directly proportional correlation between doctor's optimal distance and patient's satisfaction after the examination.
Keywords: concordance correlation; intraclass correlation; Kendall's tau; non-linear association; Pearson's correlation; Spearman's rho
Because some of the assumptions of least squares regression could not be met even after transformation, Theil regression (Hollander & Wolfe 1999) was used and Kendall's tau, a nonparametric correlation statistic (Hollander & Wolfe 1999), was calculated (Wessa 2008) for all sampling dates.