t-test on percentage


New Member
Hi all,

Pretty simple question: I have two mean performance scores in percent, one is 70% +/- 3(SEM) and one is 95% +/- 1.

Someone said I shouldn't do a t-test to compare these since data can't be normally distributed. Is that true? How would I compare these means then?



Super Moderator
So you have two samples, each of which consist of a number of scores as percentages? How big are the samples?

It is true that the distribution of scores within each sample cannot be completely normally distributed given that percentages are bounded at 0 and 100%. But with a reasonably large sample, the sampling distribution of the means may be close enough to normal as to make no difference. It's the sampling distribution of statistics that we usually need to worry about the most, not the distribution of data points themselves.


New Member
thanks for the reply!

there were 40 values in the first group and 8 in the second. The second was close the one close to 100%. I transformed the data to radians and then carried out my t-test, hopefully that will do the trick?