MedCalc  # Free statistical calculators

## Correlation significance test

 Correlation coefficient: Sample size:

## Description

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

## Interpretation

The program calculates:

• P-value. If this 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.

## Literature

• 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.