I am looking for some literature about linear regression and students t-test to cite them in my discussion within my paper. In a nutshell: I would like to argue that I prefer using the results of a regression compared to t-tests of my individual variables. Is this an acceptable argument? Does someone know some paper about this?
My (simplyfied) Problem: I have two groups (group A and group B) solving an assessment to achieve points. Now, I would like to run a linear regression with the achieved points as dependent variable (actually there are more independet variables e.g. gender, age) and group classification as independent variable, instead of using a t-test to compare the means of both groups.
My regression indicates that the membership to be either in group A or B have significant effects on the achieved points. However, the means of groups A and B do not significantly differ from each other...That`s why I am looking for an argument to use the regression.
Continuation from here: Superiority of linear regression compared to students t-test