Orthogonality

Introduction

In factorial analysis, "orthogonality" refers to variables that are independent and uncorrelated. When two factors are orthogonal, you can study their effects as if they are happening at a right angle to each other, rather than overlapping. This leads to a clearer understanding of each factor's contribution to the outcome. The opposite of orthogonal factors are oblique factors.

The idea of orthogonality in personality factors came from the studies on the Five Factors Model, and factors that may be extracted as orthogonal or oblique.

Map Analogy

Consider the world map on the right. You may want to locate an individual on the map with the longitude and latitude. Those two dimensions are orthogonal.

You may want to locate the individual by two oblique factors as well, like with this other map on the right. The orthogonal factors may seem more practical for locating some people in some spaces of the map, rather than in other places where there are fewer people.

The first orthogonal system is simply more practical than the second one to navigate, communicate about, and remember.

The same goes for behavioral dimensions that can be located by two, three, or four factors. Orthogonal factors allow for the location and description of behaviors when the factors are as distant from each other as possible.

GRI Factors

With GRI we have four factors that were devised to be as distant to each other as possible, thus covering the "map' of behavior in a way that can be more practical to analyze and use for locating and describing behaviors. The four factors are represented in the adaptive profiles