I've got 2 identical experiments, each are however under-powered to detect the effects of interests.

I would like to combine the two datasets and re-run an analysis on the combined dataset.

Not surprisingly I got clearer results on the combined dataset.

However since this latter analysis consists in a second peek into my data, doing so increases the risk of false positives (or rate of type I error).

I would like to correct for this inflated risk but I could not find any correction method specific to the analysis of combined experimemnts/datasets.

In my design, I test two hypotheses, which consists in 2 planned t-test contrasts for each of 4 DVs.

What I am looking for is a (not too complicated) way to correct the p-values obtained from the contrasts or the critical p-value threshold.

Do you any suggestions?

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