Question

The Fisher Z-transformation is commonly used for calculating confidence intervals of product-moment correlations and for averaging correlations. Consider the following scenarios:

(a) Two studies examine the correlation between job satisfaction and employee performance. The first study finds r1 = 0.10, and the second study finds r2 = 0.30. Assuming comparable samples and the same sample size, calculate the Fisher Z-values of these two correlations.

Answer 1

To calculate the Fisher Z-values for the given correlations, use the formula Z = 0.5 * ln((1+r) / (1-r)).

Step-by-step explanation:

The Fisher Z-transformation is used to calculate confidence intervals and average correlations. To calculate the Fisher Z-values for the given correlations, we can use the formula Z = 0.5 * ln((1+r) / (1-r)), where r is the correlation coefficient.

For the first study, r1 = 0.10. We can plug this value into the formula and calculate the Z-value:

Z1 = 0.5 * ln((1+0.10) / (1-0.10))

Similarly, for the second study, r2 = 0.30:

Z2 = 0.5 * ln((1+0.30) / (1-0.30))