I'm trying to figure out which statistical test to run on my data, but it has been processed so that now I have gathered the mean and standard deviation values to be used instead of the raw data.
I thought that any statistical test (like t tests and ANOVAs for instance) would calculate the mean values and then compare them to give you the test statistic. So my question is, if I don't have the raw data but only the mean and SD values, can I still run these tests or would I need to run other types? (Seems strange thinking that the above mentioned tests would be calculating the mean of the mean, that's all!).
Best Answer
The t-test can be performed with only means, standard deviations and sample sizes. Formula and procedure are given in the wikipedia.
https://en.m.wikipedia.org/wiki/Student%27s_t-test#Calculations