I have N p values (N is around 200) one for each of N independent experiments in my study. These p values range from 0.03 to 0.7 (mean is 0.3), where only 5% of p values are less than 0.05. If I look at the fraction of experiments where the null hypothesis is rejected I get this 5%, meaning that for the majority of the study (95%) the null hypothesis was not rejected.
If I combine p values using different methods (Fisher's, Stouffer's ect.) the resulting p value is lower than 0.05, suggesting that the null hypotheses are not true for every experiment, but that is what I see from the p values when I obtained them... I would like to get a measure that will reflect a general trend in the study. Do you think that "rejection rate" is a valid way to report it? Or maybe you have any idea what is the appropriate measure for this?