TITLE:
Decomposition of the Sum of Cubes, the Sum Raised to the Power of Four and Codeviance
AUTHORS:
Fabio Manca, Claudia Marin
KEYWORDS:
Decomposition Formulas, Deviation Cubes, Codeviance Decomposition
JOURNAL NAME:
Applied Mathematics,
Vol.11 No.10,
October
26,
2020
ABSTRACT: The purpose of this paper is to achieve decomposition formulas of sums regarding deviation cubes, the sum of deviation raised to the power of four and codeviance, because they allow to evaluate the contribution of different components of the above three absolute measures regarding asymmetry, disnormality and concordance. We have obtained more significant formulas that are valid only for two groups, in addition to the formulas valid for r groups, and we have prepared an example to emphasize how useful those formulas were.