Just stating the obvious that Peter left unsaid: The OP calculated a matrix, whose diagonal is the correlations between each variable and itself, with the off-diagonal entries being the ones of interest.

On 17-May-13, at 11:06 AM, Peter Ehlers wrote:

On 2013-05-17 08:37, Jose Iparraguirre wrote:
Dear Elaine,

One of the elements you obtain the P matrix, which is the matrix of asymptotic p-values. In your case, you get that the asymptotic p-value of the association between t_i and t_r is 0. That is, there would exist a perfect association (look also at the first result, the matrix of correlations: the correlation coefficient between these variables is 1).
Hope this helps,
José


Actually, the coefficient is -0.89.
Not surprisingly, with n = 4873, this indicates a significant
correlation.
For details of the t-test involved in the calculation, see any
intro stats text or look at the code of cor.test.default().

Peter Ehlers


Prof. José Iparraguirre
Chief Economist
Age UK

-----Original Message-----
From: r-help-boun...@r-project.org [mailto:r-help-bounces@r- project.org] On Behalf Of Elaine Kuo
Sent: 17 May 2013 10:40
To: r-help@r-project.org
Subject: [R] pearson correlation significant level

Hello

I am using package Hmisc to calculate the pearson correlation and the significant level for the matrix of t_i and t_r. (temperature minimum and temperature range)

However, I have difficulty interpreting the result, even after checking the manual.
Please kindly help to indicate if the p-value is zero.
Thank you in advance.
Elaine

The code
library(Hmisc)
rcorr(as.matrix(datat), type="pearson") # type can be pearson or
spearman


The result is
      t_i   t_r
t_i  1.00 -0.89
t_r -0.89  1.00

n= 4873


P
     t_i t_r
t_i      0
t_r  0



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