Dear John,

Yes, that's great - thanks!

Andy


John Fox wrote:
Dear Andy,

Yes, the tetrachoric correlation is a special case of the polychoric
correlation when both factors are dichotomous.

The 95-percent confidence interval that you suggest might be adequate if the
sample size is sufficiently large and the correlation isn't too close to 0
or 1, but it is probably not in general terribly trustworthy.

I hope this helps,
John
--------------------------------

Original message:

Andy Fugard a.fugard at ed.ac.uk Mon Sep 1 19:25:54 CEST 2008
Hi there,

Am I correct to believe that tetrachoric correlation is a special case of polychoric correlation when there are only two levels to the ordered factor? Thus it should be okay to use hetcor from the polycor package to build a matrix of correlations for binary variables?

If this is true, how can one estimate 95% confidence intervals for the correlations? My guess would be

   mat = hetcor(dataframe)

   mat$correlation - (1.96 * mat$std.errors)
   mat$correlation + (1.96 * mat$std.errors)

Thanks,

Andy



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Andy Fugard, Postgraduate Research Student
Psychology (Room S6), The University of Edinburgh,
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