| Abstract: | 1. Some questions about the connection between statistical tests of significance for simple and multiple correlation coefficients and for differences between sample means (and between sample means and population means) of variables of one or several dimensions are treated in this paper. The distributions of the random variables that are considered in such tests are given, under certain conditions, by frequency functions of the following types 1 the recently published treatise “Mathematical Methods of Statistics” by Professor Harald Cramér (Uppsala 1945). :  where - ∞ < t < ∞, n≧1;  where  where 0 < t < ∞, k≧1, n≧k; and  where  | |
