Spearman's rho and Kendall's tau

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In summary, the conversation is about where to find confidence tables for Spearman's rho and Kendall's tau for up to 50 data pairs. The values in these tables are derived from various distributions, including those of Owen, de Jonge & van Montford, Franklin, and Olds. References for further reading on this topic include Zar and Franklin's publications.
  • #1
choschech
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Hi,

does anyone know where to get confidence tables for Spearman's rho and Kendall's tau for up to 50 data pairs?
Which distributions are the values in these tables derived from?
 
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  • #2
Hi

Don't know about Kendall's tau, but citical values (is that what you meant) of Spearmans rho for up to n=100 are given in Zar, J.H. Biostatistical analysis. Various distributions are used, depending on n, e.g. those of Owen 1962; de Jonge & van Montford (1972); Franklin (1988a) and Olds (1938). A good discussion of this topic is given in Zar, J.H. (1972) J. Amer. Statist. Assoc. 67: 578-580 and in Franklin (1988a) J. Statist. Computa. Simula. 29:255-269 & Franklin (1988b) Communic. Statist.-Theor. Meth. 17: 55-59.
 
  • #3
Thanks,

these references have been a great help!
 

1. What are Spearman's rho and Kendall's tau?

Spearman's rho and Kendall's tau are two commonly used statistical measures of correlation between two variables. They are used to determine if there is a relationship between two sets of data and how strong that relationship is.

2. How are Spearman's rho and Kendall's tau different from Pearson's correlation coefficient?

Spearman's rho and Kendall's tau are non-parametric measures of correlation, meaning they do not rely on the assumption of normality in the data. They are also used for non-linear relationships, while Pearson's correlation coefficient is only used for linear relationships.

3. How do you interpret the results of Spearman's rho and Kendall's tau?

The results of Spearman's rho and Kendall's tau range from -1 to 1, with 0 indicating no correlation and values closer to -1 or 1 indicating a stronger correlation. The sign of the result also indicates the direction of the relationship (positive or negative).

4. When should I use Spearman's rho versus Kendall's tau?

Spearman's rho is typically used when both variables are measured on an ordinal scale, while Kendall's tau is used when both variables are measured on a nominal scale. However, both measures can be used interchangeably in most cases.

5. Can Spearman's rho and Kendall's tau be used for more than two variables?

No, Spearman's rho and Kendall's tau are only used to measure the correlation between two variables. For more than two variables, other methods such as regression analysis or factor analysis may be more appropriate.

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