Tests of Pearson's Correlation (4 of 6)

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Other Null Hypotheses
For other null hypotheses, the significance test of r is done using Fisher's z' transformation. The formulas used in the fourth step of hypothesis testing are shown below:

where is the value of r converted to z', is the value of ρ converted to z', and is the standard error of z'. This standard error can be computed as:

Once z is computed, a z table is used to calculate the p value.
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