Measuring the Effect of Public Relations on Scientific Journals Impact Factor?
First, a proxy for scientific communication may be seen in Altmetrics.
Second, Impact Factors are indicators based on citations.
Therefore, you could take a look at the numerous studies that have investigated correlations between Altmetrics and citations.
(By the way: It seems that one cannot find research on the direct correlations between Altmetrics and Impact Factors so easily; the reason behind that may be that Altmetric.com does not allow researchers to analyse Altmetrics on a journal-level, as far as I am aware.)