On 3 Jun 2003, Serge wrote in part:

>     Thanks for all the help. Donald Burrill mentioned that I should
> show that r=0.6 is statistically significant vs r=0. I don't think I
> have ever seen that done so can anyone please elaborate on how I can
> go about doing that. How do I find the test statistic for such a
> significance test? Thanks for your help.

Short answer # 1:  consult your statistics textbook.  There should be a
chapter in it on correlation, and a section on testing the null
hypothesis that <rho = 0> (that is, that the true correlation
coefficient in the population is equal to zero).

Short answer # 2:  if you're using one of the standard statistical
packages (MINITAB, SPSS, SAS, R, S, ...), do a simple regression
analysis (predicting y from x -- that is, fitting the model
  y = a + bx + e).  The test (routinely reported in any regression
analysis) of <whether the regression coefficient estimated by <b> is
equal to 0> is formally equivalent to the test of whether the
corresponding correlation coefficient equals zero.

    <  snip, the rest  >

 -----------------------------------------------------------------------
 Donald F. Burrill                                         [EMAIL PROTECTED]
 56 Sebbins Pond Drive, Bedford, NH 03110                 (603) 626-0816

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