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Correlation coefficient significance test


The Correlation coefficient significance test can be used to evaluate whether the value of an observed correlation coefficient is 'close to 0' or 'significantly different from 0'. The P-value is the probability to find the observed correlation coefficient (or larger) in the sample, under the hypothesis that the population correlation coefficient is 0.

Required input

The values are entered in the following dialog box:

Correlation coefficient significance test

  • The observed correlation coefficient and sample size (the number of paired observations). The sample size must be more than 3.

When all data have been entered click Test.


MedCalc calculates:

  • Significance level (P-value). If the P-value is lower than the conventional 5% (P<0.05) the correlation coefficient is called statistically significant.
  • The 95% confidence interval for the correlation coefficient. This is the range of values that contains with a 95% confidence the 'true' correlation coefficient.

In the Comment input field you can enter a comment or conclusion that will be included on the printed report.


  • Bland M (2000) An introduction to medical statistics, 3rd ed. Oxford: Oxford University Press.
  • Altman DG (1991) Practical statistics for medical research. London: Chapman and Hall.