Re: refrence for spearman partial correlation




Ray Koopman wrote:
Lee Sander wrote:
Hi,
using the same equation for partial correlation, i replace the
pearson correlation with spearman rank correlation.
What would be a correct reference to cite this.
thanks
les

Good question. Not sure what's a good reference to cite either.


Spearman correlations are Pearson correlations done on rank-
transformed data.

This much is correct and uncontroversial.


Since the Pearson computational formulas require
only that the variances be positive, and make no assumptions about
the form of the distributions, they are valid when applied to ranks.

This doesn't quite answer Lee's question, and is too much of a
simplification to the extent that it is misleading.

For the random variable r to have a useful interpretation for the
degree of linear relation, the distribution of r must be known or
at least approximated. There is much more to the question of
distribution of r, let alone Spearman and Spearman partial, than
it meets the eye.

In the Johnson, Kotz, Balakrishnan book, 2nd edition, on
"Continuous Univeriate Distributions", Volume 2, Chapter
32 is titled "Distribution of Correlation Coefficients", which
runs almost 100 pages, with 12 pages of references that
runs about 20 references per page.

If there is a good source for what you sought, I think you'll find
it there. :-)

-- Bob.

.



Relevant Pages

  • Re: generating data with specified spearman correlation
    ... > use a bivariate uniform distribution for which the correlation ... the correation here is both the population Spearman ... A bivariate distribution with uniform marginals is a bivariate copula. ...
    (sci.stat.math)
  • Re: Bayesian estimation of structured correlation/covariance
    ... correlation between a pair of paths. ... >> should formulate this as covariance matrix estimation with the ... > large step of using the Wishart/ inverse Wishart distribution for the ... > switch from viewing your problem as one of estimating the covarince ...
    (sci.stat.math)
  • Re: generating data with specified spearman correlation
    ... >> use a bivariate uniform distribution for which the correlation ... > marginals) for which the Spearman correlation can be specified by ...
    (sci.stat.math)
  • Re: How to ensure data correlation
    ... Based upon the goodness of fit tests, ... distribution for each variable seperately. ... was present in the original sample data. ... See the recent thread "Data Simulation from Correlation matrix" ...
    (sci.stat.math)
  • Re: distribution of sample correlation coefficient
    ... I am wanting to use the measured correlation ... coefficient rho is known and deterministic. ... distribution might be a reasonable model as it is ... A large-sample approximation for the sampling distribution of r can be obtained from Fisher's z. ...
    (sci.stat.math)