Average effect size between factors and within an experimental condition

Dear all,

I am interested in an average effect size between heart rate and anxiety. Anxiety is separated in 2 factors (F1 and F2), and I would like to combine the correlations of those factors into one correlation. In addition, I also have the correlations between heart rate and anxiety during 4 stages(H1-H4) of an experiment for each of the factors. Now my question is, would it be possible to obtain one average effect size (r) which summarizes all this information?

Factor 1 H1=-.12 H2=-.18 H3=-.32 H4=-.24 Factor 2 H1=-.12 H2=-.03 H3=-.12 H4=-.12

Sample size =76. Now, I know I can calculate the average correlation from two studies by transforming them with a Fisher’s Z transformation, average the z, and then calculate the r. However, I don’t know if this would be a valid approach within the experimental conditions. Any help is much appreciated.