rank correlation वाक्य
उदाहरण वाक्य
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- If there is only one variable, the identity of a college football program, but it is subject to two different poll rankings ( say, one by coaches and one by sportswriters ), then the similarity of the two different polls'rankings can be measured with a rank correlation coefficient.
- In the same way if " y " always " decreases " when " x " " increases ", the rank correlation coefficients will be " 1, while the Pearson product-moment correlation coefficient may or may not be close to " 1, depending on how close the points are to a straight line.
- As another example, in a contingency table with " low income ", " medium income ", and " high income " in the row variable and educational level " no high school ", " high school ", " university " in the column variable ), a rank correlation measures the relationship between income and educational level.
- For example, a test based on Spearman's rank correlation coefficient would be called non-parametric since the statistic is computed from the rank-order of the data disregarding their actual values ( and thus regardless of the distribution they were sampled from ), whereas those based on the Pearson product-moment correlation coefficient are parametric tests since it is computed directly from the data values and thus estimates the parameter known as the population correlation.
- Thus the society's preferences show cycling : A is preferred over B which is preferred over C which is preferred over A . A paradoxical feature of relations between the voters preferences described above is that although the majority of voters agree that A is preferable to B, B to C, and C to A, all three coefficients of rank correlations between the voters preferences are negative ( namely,-. 5 ), as calculated with Spearman's rank correlation coefficient formula designed by Charles Spearman much later.
- Thus the society's preferences show cycling : A is preferred over B which is preferred over C which is preferred over A . A paradoxical feature of relations between the voters preferences described above is that although the majority of voters agree that A is preferable to B, B to C, and C to A, all three coefficients of rank correlations between the voters preferences are negative ( namely,-. 5 ), as calculated with Spearman's rank correlation coefficient formula designed by Charles Spearman much later.
- Aside from the existence of the reference values, the data aren't expected to follow any given distribution, or necessarily match the variance or mean of the reference values . ( Theoretically there should be a simple transformation function from the data values to the reference values, but we can't specify " a priori " what the function should be-the only constraint that we have at the moment is that the transformation function would be monotonic and non-decreasing . ) As I understand it, the way to handle such a situation is with non-parametric statistics, and the way to tell " how well " the data match the reference values ( rank-order-wise ) is probably by using the Kendall tau rank correlation coefficient ( though I'm still a little unclear on the difference between it and the Kendall tau distance or Kendall's W, and where one is used in preference to the others ).
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