Is there a native way to produce SE of correlation in  R's cor() functions
and p-value from T-test?

As explained in this web
http://www.sjsu.edu/faculty/gerstman/StatPrimer/correlation.pdf
(page 14.6)

The standard error is sqrt((1-r^2)/(n-2)), where n- is the number of sample.

- G.V.

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