One of my colleague is looking for a proper statistical test which is able to take correlational analysis from multiple scatter plots taken from multiple mice.

Each of his scatter plot shows significant correlation between stimulus and response within a mouse. He repeated this experiment with multiple animals.

As an overall conclusion, he wants to conclude that the response is significantly correlated with the stimulus. However, it does not seem to be right if we plot all the data from multiple animals in one scatter plot for Pearson correlational analysis.

If any of you know how to do "overall" correlational analysis including multiple data sets, please let me know.

I hope my explanation was enough, but please do let me know if you need more information to answer this question.

Thanks!