I am currently writing a thesis at my university about statistical methods and data mining and I am focussing on the student's t-test. I am new to statistics and do not really know much about distributions or the calculation of p-values, which is why I need help to understand how the t-test in rapidminer works.
I am using RapidMiner 5 to perform a t-test and I looked at the source code of the t-test operator and found out that the calculation of the p-value happens within the Operator "FDistribution.java".
This is where I need help. I understand that the squared t-value of a student's t-distribution with t(m,n) is equal to the F-value of an F-Distribution F(1,m+n-2)
but after that I cannot really follow the mathematical steps that are performed within the FDistribution operator.
could someone maybe take me through the operator step-by-step and explain why within the method "betaInverse" the inverse beta function is used?
what exaclty is the variable "beta" in there and why is it calculated using the logarithm?
I just have absolutely no idea what's happening here so I would really appreciate some sort of help or explanation. Or maybe some books or other references whre I can find the used mathematical relationships used here, then maybe I can read those books myself and begin to understand how all of this works...