Naslov
Utjecaj procesa učenja na povezanost odabranih antropoloških varijabli linearnim, paraboličnim i kubičnim modelom
(Influence of learning process on the relation between chosen anthropometric dimensions via linear, parabolic and cubic relation model)

Autori
Jelaska, Igor ; Maleš, Boris ; Kuna, Danijela

Izvornik
Croatian Journal of Education = Hrvatski časopis za odgoj i obrazovanje (1848-5189) 13 (2011), 1; 76-98

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
antropometrija ; edukacija ; kubična regresija ; metodologija ; nelinearna regresija
(methodology ; anthropometry ; nonlinear regression ; cubic regression ; education)

Sažetak
The aim of this paper was to compare, analyze and explain the change in linear, parabolic and cubic models of the relation between two chosen anthropometric thin skinfold variables trough a learning process implemented as a kinesiological treatment. A homogenous sample which homogenised further as the learning process advanced was used for the purpose of this research. In accordance with this, the linear model, the parabolic model and the previously never used cubic model depicting the relation between the thigh skinfold criterion variable and the upper arm circumference predictor variable were observed in 4 points in time. The convergence of statistically insignificant nonlinear models to a statistically significant nonlinear model was observed and explained, providing us with a new methodological tool for the quantitative analysis of the success of the learning process. In so doing, it was shown that the cubic model is the most appropriate at the highest point of sample homogenization. A proposition which was also made was the introduction of a mathematical expression for an interval of numbers which encompasses those predictor variable values for which it makes sense to calculate the criterion variable value – the domain of the (non) linear regression model. Furthermore, the process of calculating the extreme points of the general nonlinear model was mathematically described and applied.

Izvorni jezik
Hrvatski, engleski

Znanstvena područja
Računarstvo, Pedagogija

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