Novosibirsk, Russia, May, 30 – June, 4, 2011

International Conference
"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

Shchelkanov N.N.  

New mathematical model of linear regression between two physical parameters in view of their random errors

A generalized equation is presented for determination of the regression coefficients of the linear equation Y = K0 + K1 X in the general case, when the point spread in the correlation between X and Y is caused both by random measurement errors and by uncontrollable physical factors. All the known equations for the regression coefficients appeared to be particular cases of the equation obtained. Conditions of use of known expressions are determined.
The generalized equation make it possible to construct stable and physically correct estimations of regression coefficients. The obtained formula is of interesting for specialists in processing the experimental data and can be used for correct physical interpretation independent of the research field.

Abstracts file: Shchelkanov-2011-1.DOC
Full text file: Shchelkanov-1.DOC

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