Застосування елементів кореляційного аналізу для дослідження зв’язку між змінами кількості калію і натрію в консервованій крові при зберіганні

Н. В. Арнаута, О. В. Арнаута, М. М. Михайлюк

Анотація


APPLICATION OF CORRELATION ANALYSIS ELEMENTS FOR A COMMUNICATION RESEARCH BETWEEN CHANGES OF POTASSIUM AND SODIUM AMOUNTS IN TINNED BLOOD AT STORAGE

N. V. Arnauta, O. V. Arnauta, M. M. Mykhailuk

We used an element of the correlation analysis for establishment of interrelation between changes of potassium and sodium amounts in tinned blood at storage. Correlation analysis is method of definition and calculation of quantitative sign of interdependence between statistical signs which characterize the separate natural phenomena and processes.

By means of the correlation analysis such takes are solved: existence and the choice of communication form of productive sign (amount of sodium) with factorial sign (amount of potassium) is reveled; change of dependence of size on a factor which influences her is quantitatively estimated; density of communication of a productive indicator with a factor is established.

In dependence of communicative form between factor and productive signs choose the type of mathematical equation. In this situation communicative form determine by straight line equation:

 

where:        y – meaning of productive sign,

x – meaning of factor sign, a and b- required parameters.

A and B are looked for on formulas:

 

The equation by means of which define statistical communication between the correlation sizes are called the regression equation. The regression equation allows to estimate a role of factorial sign in formation of productive sign.

Determination of interrelation density between result and put in factor model is an important task of the regression equation analysis. The coefficient of pair correlation which is calculated behind a formula is quantitative index of density of rectilinear communication of result with one factor

 

 

 

where:        r- linear correlation coefficient;

Qx – average quadratic deviation of factorial sign;

Qy – average quadratic deviation of productive sign.

 

The correlation coefficient to 1 is closer, the communication between y is denser and x and, on the contrary, the coefficient to 0 is closer, the communication between productive and factorial sign is weaker. The coefficient of correlation has the same sign, as regression coefficient in the communication equation.


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Reference

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