R：如何从cor.test函数中提取置信区间

Question

Im trying to extract 95 percent confidence interval from the result of pearson correlation.

My output looks like this:

Pearson's product-moment correlation

data:  newX[, i] and newY
t = 2.1253, df = 6810, p-value = 0.0336
alternative hypothesis: true correlation is not equal to 0
95 percent confidence interval:
 0.001998576 0.049462864
sample estimates:
       cor 
0.02574523 

I get it with the following code

t <- apply(FNR[, -1], 2, cor.test, FNR$HDL, method="pearson")

I would appreciate any help. Thanks.

Answer 1

cor.test returns a list with various elements, including the confidence interval. You can see the structure of the object returned by cor.test as follows (using the built-in mtcars data frame for illustration):

ct = cor.test(mtcars$mpg, mtcars$wt, method="pearson")

str(ct)

 List of 9 $ statistic : Named num -9.56 ..- attr(*, "names")= chr "t" $ parameter : Named int 30 ..- attr(*, "names")= chr "df" $ p.value : num 1.29e-10 $ estimate : Named num -0.868 ..- attr(*, "names")= chr "cor" $ null.value : Named num 0 ..- attr(*, "names")= chr "correlation" $ alternative: chr "two.sided" $ method : chr "Pearson's product-moment correlation" $ data.name : chr "mtcars$mpg and mtcars$wt" $ conf.int : atomic [1:2] -0.934 -0.744 ..- attr(*, "conf.level")= num 0.95 - attr(*, "class")= chr "htest" 

Now extract the confidence interval:

ct$conf.int[1:2]   

[1] -0.9338264 -0.7440872

Answer 2

Let's look at the ?cor.test page and then modify the last example so it resembles your code:

t <- apply(USJudgeRatings[, -1], 2, cor.test, USJudgeRatings$CONT, method="pearson")

This is the first sublist of the returned value:

> str(t[1])
List of 1
 $ INTG:List of 9
  ..$ statistic  : Named num -0.861
  .. ..- attr(*, "names")= chr "t"
  ..$ parameter  : Named int 41
  .. ..- attr(*, "names")= chr "df"
  ..$ p.value    : num 0.395
  ..$ estimate   : Named num -0.133
  .. ..- attr(*, "names")= chr "cor"
  ..$ null.value : Named num 0
  .. ..- attr(*, "names")= chr "correlation"
  ..$ alternative: chr "two.sided"
  ..$ method     : chr "Pearson's product-moment correlation"
  ..$ data.name  : chr "newX[, i] and USJudgeRatings$CONT"
  ..$ conf.int   : atomic [1:2] -0.417 0.174
  .. ..- attr(*, "conf.level")= num 0.95
  ..- attr(*, "class")= chr "htest"

To get all the conf.int nodes from that list with 11 items, use sapply with the "[[" function and given the character-valued name, "conf.int":

> sapply(t, "[[", "conf.int")
           INTG       DMNR       DILG       CFMG       DECI       PREP
[1,] -0.4168591 -0.4339992 -0.2890276 -0.1704402 -0.2195110 -0.2898732
[2,]  0.1741182  0.1537524  0.3115762  0.4199860  0.3770813  0.3107427
           FAMI       ORAL       WRIT       PHYS       RTEN
[1,] -0.3234896 -0.3112193 -0.3396845 -0.2501717 -0.3306462
[2,]  0.2768389  0.2893898  0.2599541  0.3489073  0.2694228

The sapply function returns a column-oriented matrix result (at least with the default of simplify=TRUE) when given a set of arguments that return equal length values as is the case here.