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I have calculated the difference between two independent groups in their quartiles and calculated the 95% confidence interval of that difference. These calculations have been performed twice (in the summer/ in the winter). Now, I would like to know whether there is a statistically significant difference between the summer/ winter estimated group differences at each quartile. How should I do that?

So far, what I did was to inspect whether each "winter difference" falls within the boundaries of the 95%CI of the corresponding "summer difference" (considering that if not, there is a statistically significant difference between them). Would that be correct?

If so, how one should interpret cases at which one "winter difference" falls within the boundaries of the 95%CI of the corresponding "summer difference", but the "summer difference" does not fall in the boundaries of the 95%CI of the same "winter difference"?

Thanks in advance for any possible answer.

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