Given
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r, the Pearson product-moment correlation coefficient for a sample of paired XY values randomly drawn from a certain population; and |
| • |
N, the number of XY pairs
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If the true correlation between X and Y within the population is zero, and if N ≥ 6, then the quantity
is distributed approximately as the sampling distribution of
Student’s t with
df = N−2. Application of this formula to any particular observed sample value of r will accordingly test the null hypothesis that the observed value comes from a population in which the true correlation of
X and Y is zero.
To proceed, enter the values of N and r into the designated cells below, then click the «Calculate» button.