Applications of the Calculus for Factorial Arrangements II: Unequal Numbers in the Analysis of Variance

摘要

This paper develops a new theory for the analysis of disproportionate numbers of observations in multi-factor classifications. The principal theoretical result enables a generalized sum of squares in the analysis of variance to be written explicitly. Use of this result leads to minimum calculations compared to other methods now in general use. A numerical example is presented illustrating the calculations. (Author)