Transformation of equations in analysis of proportionality through referent models

TL;DR

This paper introduces a method to transform equations involving object variables into equations using Z scores, facilitating analysis of proportionality in objects, samples, or populations, especially in anthropometric studies.

Contribution

It develops a novel transformation technique for parametric equations into Z score equations, enhancing proportionality analysis methods.

Findings

Method successfully transforms equations into Z score form

Applicable to anthropometric and proportionality studies

Simplifies analysis by using referent models

Abstract

In proportionality of objects, samples or populations, usually we work with Z score of proportionality calculated through referent models, instead directly with the variables of the objects in itself. In these studies we have the necessity to transform, the equations that use the variables of the object, in equations that directly use like variables Z score. In the present work a method is developed to transform the parametric equations, in equations in variables Z using like example the studies of human proportionality from the Phantom stratagem of Ross and Wilson.