| This calculator runs a one sample correlation test for a given sample data set and specified null and alternative hypotheses. Enter the data in the text area to the left. The data must be formatted with one pair of scores for each row. The data on each row must be separated by a space, tab, or comma. Alternatively, below the text area, you can enter the sample correlation and sample size values.
Enter a value for the null hypothesis. This value should indicate the absence of an effect in your data. It must be between the values \(-1\) and \(+1\). Indicate whether your alternative hypothesis involves one-tail or two-tails. If it is a one-tailed test, then you need to indicate whether it is a positive (right tail) test or a negative (left tail) test.
Enter an \(\alpha\) value for the hypothesis test. This is the Type I error rate for your hypothesis test. It also determines the confidence level \(100 \times (1-\alpha)\) for a confidence interval.
Press the Run Test button and a table summarizing the computations and conclusions will appear below.
If the \(H_0\) tests whether the population correlation is zero, then the calculator reports two summary tables. The first table is the general purpose table based on the Fisher \(z\) transform and a normal distribution. The second table is based on the \(t\) test, which only applies when the null correlation is set to zero. Regardless of the null hypothesis, the summary table also describes the confidence interval in both Fisher \(z\) units and in correlation units.
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