Relationships between Linear Statistical Models
Vladimir G. Panov, Anatoly N. Varaksin
Journal of Advances in Mathematics and Computer Science · pp. 1–18 · Published 15 Sep 2015
10.9734/BJMCS/2015/20493Abstract
To study the relationship between the linear statistical models we used methods of linear algebra, Hilbert spaces and statistics. It was found that there is a linear relationship between linear statistical models which is expressed by a matrix equality. Several corollaries are derived and discussed, and a new interpretation is proposed for the parameters of linear statistical model. The given relation between the linear statistical models may be useful for both theoretical analysis of statistical models and interpretation of applied statistical models, in particular, to analyze the impact of confounders.
Cited by 2
A. P. Rylova, A. N. Varaksin · AIP Conference Proceedings · 2019
Vladimir Grigorievich Panov · Themed collection of papers from Foreign International Scientific Conference «Trends in the development of science and Global challenges» Ьу НNRI «National development» in cooperation with AFP. April 2023. - Managua (Nicaragua) · 2023
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