Explain kendall''s tau statistics, Advanced Statistics

Kendall's tau statistics: The measures of the correlation between the two sets of rankings. Kendall's tau itself (τ) is the rank correlation coefficient based on number of inversions in one ranking as compared with another, that is on S given by

603_kendall tau statistics.png

here P is the number of concordant pairs of the observations, which means pairs of observations such that their rankings on the two variables are in same direction, and Q is the number of discordant pairs for which rankings on the two variables are in reverse direction.

The coefficient τ is calculated as follows

477_kendall tau statistics1.png 
The number of other versions of τ have been developed which are appropriate for measuring the association in an r×c contingency table with row and column variables both having ordered categories. (Tau itself is not suitable since it supposes no tied observations.) One instance is the coefficient, τ C given by the following formula

2031_kendall tau statistics2.png 

where m min r; c.

Posted Date: 7/30/2012 1:25:22 AM | Location : United States







Related Discussions:- Explain kendall''s tau statistics, Assignment Help, Ask Question on Explain kendall''s tau statistics, Get Answer, Expert's Help, Explain kendall''s tau statistics Discussions

Write discussion on Explain kendall''s tau statistics
Your posts are moderated
Related Questions
Lancaster models : The means of representing the joint distribution of the set of variables in terms of the marginal distributions, supposing all the interactions higher than a par

1. The production manager of Koulder Refrigerators must decide how many refrigerators to produce in each of the next four months to meet demand at the lowest overall cost. There i

The variables appearing on the right-hand side of equations defining, for instance, multiple regressions or the logistic regression, and which seek to predict or 'explain' response

Behrens Fisher problem : The difficulty of testing for the equality of the means of the two normal distributions which do not have the equal variance. Various test statistics have

Baddeley'smetric : A manner of measuring the 'error' in the image processing technique or method. The metric is derived using the fundamental theory from the stochastic geometry an

Committees to monitor the accumulating data from the clinical trials. Such committees have chief responsibilities for ensuring the continuing safety of the trial participants, rele

Concordant mutations test : A statistical test used in the cancer studies to determine whether or not a diagnosed second primary tumour is biologically independent of the original

Linearity - Reasons for Screening Data Many of the technics of standard statistical analysis are based on the assumption that the relationship, if any, between variables is li

Computer-aided diagnosis : The computer programs which are designed to support clinical decision making. In common, such systems are based on the repeated application of the Bay

You have probably noticed by now that some of the statements of necessary and sufficient conditions sound more natural than others. For example it seems more natural to express "We