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Critical Values of r
When conducting a test of the correlation coefficient by hand, researchers can use a statistical table to find the critical values of for various sample sizes at a predetermined alpha level, such as . If the calculated sample correlation coefficient is more extreme than the critical value retrieved from the table, the result is statistically significant, meaning there is sufficient evidence to reject the null hypothesis and conclude a relationship exists in the population.
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Research Methods in Psychology - 4th American Edition @ KPU
Related
Null and Alternative Hypotheses for the Correlation Coefficient
Degrees of Freedom (Correlation Coefficient)
Critical Values of r
Example Test of a Correlation Coefficient
Evaluating p-Values in a Correlation Test
When evaluating statistical relationships between quantitative variables, how can the correlation coefficient (Pearson's r) be utilized to determine the p-value in a null hypothesis test?
A researcher calculating Pearson's r to evaluate the relationship between two quantitative variables can use the correlation coefficient directly as its own test statistic to find the p-value, without needing to convert it into a t-score first.