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Use this tag for any *on-topic* question that (a) involves `R` either as a critical part of the question or expected answer, & (b) is not *just* about how to use `R`.
7
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Exact central confidence interval for a correlation
= cor(cd4$base, cd4$oneyr)
> r
[1] 0.7231654
Fisher transform:
> se = 1/sqrt(17)
> se
[1] 0.2425356
> tanh(c(r-1.6448*se, r+1.6448*se))
[1] 0.3133382 0.8082940
T distribution:
> sr = sqrt((1-r^2) … /(20-2))
> sr
[1] 0.1627936
> tc = abs(qt(0.05/2, 18))
> c(r-tc*sr, r+tc*sr)
[1] 0.3811486 1.0651821 …