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The Kendall's tau b makes adjustments for ties in the data, in contrast to Kendall's tau a.
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A Kruskal-Wallis rank sum test with adjustments for tied ranks, was done to evaluate statistically significant differences in distribution of SD motifs.
Without adjustment for "ties", the same shape was the most effective stimulus at all retinal locations in 77.4% (65/84) of the cells, and the Spearman coefficient was 0.78.
An adjustment for ties is often made to the calculation.
Within each subset, correlations between predictors were evaluated (Kendall's τb with adjustment for ties for categorical variables, and Pearson's correlation coefficient (r) for continuous variables).
Kendall's tau beta rank correlations, with adjustment for ties, have been shown to provide better estimates compared to Pearson or Spearman correlation coefficients with substitution of arbitrary values (LOD/2 or LOD/√2) for censored data.
Instead, either maximum likelihood estimates or Kendall's tau rank correlations with adjustment for ties are more accurate, although, in general, Kendall's tau estimates tend to be lower than corresponding Pearson or Spearman correlations (12).
For the main comparison of hypothesis tests, we consider four hypothesis tests: the two-sample T test, the modified T test for unequal variances (the Welch U test), the Wilcoxon-Mann-Whitney (WMW) test with adjustment for ties, and the Brunner-Munzel generalized WMW test.
Location differences between subgroups were tested using Wilcoxon's ranksum test with adjustment for tied values.
Use a tie hanger for ties.
Allowance was made for ties.
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