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In the study I am conducting, (Group A) the correlation coefficient between black & white imagery and retention is given by R1 and is significant. And (Group B) the correlation coefficient between colorful imagery and retention is given by R2 and is significant.

When I compare R1 and R2, I get R2>R1. Using the Fisher Z-Transform, I found that Zobs did not fall within the range -1.96 < Zobs < 1.96, and therefore they are not statistically significant.

Can we deduce retention was equivalent for both groups A and B. I am not sure how to best interpret this analysis. Kindly advise.

Fisher Z-Transform

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  • $\begingroup$ What is Zobs..? $\endgroup$ – Matthew Drury Jul 31 '17 at 3:35
  • $\begingroup$ When it does not fall within that range, it means it is statistically significant. $\endgroup$ – Peter Flom Jul 31 '17 at 10:53
  • $\begingroup$ Thanks for the correction.What does that imply if the difference of two correlation coefficients is significant to our results? What information does it provide? Can I deduce that strength between colorful imagery- retention and between B/W - retention in the sample was not equivalent (since I reject the null hypothesis) $\endgroup$ – Vyas Jul 31 '17 at 13:45
  • $\begingroup$ It has the same meaning as for any statistical significance test. What is your specific doubt here? $\endgroup$ – mdewey Aug 1 '17 at 12:55
  • $\begingroup$ Can I deduce that strength between colorful imagery- retention and between B/W - retention in the sample was not equivalent (since I reject the null hypothesis). Also probably I am not clear why do we need to compare the correlations of two different populations? What additional info do we gain? Thanks in advance, looking forward for an elaboration so that I can apply the same into my own research paper. $\endgroup$ – Vyas Aug 1 '17 at 13:29

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