I have 50 p-values. I want to show the mean of these 50 and the standard deviation:
0.06 ± 0.19
The standard deviation is quite large, because although almost all of the time, the p-value is close to 0, occasionally, there is a large value, close to 1.
0.06 ± 0.19
doesn't seem quite right though, because it seems to imply that the p-value could drop below zero. Is there a better way to state the mean and standard deviation in this situation?
Example of p-values:
[0.00001,0.03,0.0007,0.1,0.00005,0.78 ...]
More info:
The p-values come from testing a correlation between 2 variables in a simulation I have written. There are a few elements of randomness and so even if the variables are actually correlated, the results can sometimes show no correlation and hence I get a p-value close to 1.
Due to this random nature, I run the simulation 50 times and then I know I am getting a more reliable p-value. I then want to say something about the spread, which is where this question came from.