The word "varimax" is commonly used in statistics when referring to a type of factor analysis. It consists of the prefix "vari-" meaning diverse or differing, and the suffix "-max" meaning maximum or highest. The correct pronunciation of "varimax" follows the IPA phonetic transcription system as /ˈværɪmæks/. The first syllable is stressed, and the "a" in the second syllable sounds like the "a" in "cat". The "ks" at the end of the word is pronounced like "ks" in "kicks".
Varimax is a statistical technique used in factor analysis to achieve simpler and more interpretable factor structures. It is a method of orthogonal rotation that optimally rotates the axes in a factor analysis to maximize the variance of squared loadings on each factor. Varimax rotation is designed to yield highly distinctive factor loadings, with each factor having a relatively small number of variables with high loadings, while minimizing the cross-loadings of variables on multiple factors.
The goal of varimax rotation is to obtain a clear separation of variables on the factor axes, leading to more easily understandable and meaningful factors. It does this by maximizing the variance of the squared loadings on each factor, which results in loadings that are close to either 0 or 1. By doing so, varimax rotation aids in the interpretation and identification of factors, as it reduces the complexity of factor structures and makes it easier to understand the relationships between variables and factors.
In practice, varimax rotation involves iteratively adjusting the factor axes to find the optimal position that maximizes the variance of squared loadings. This rotation process continues until a stable solution is reached, where the loadings are optimized and the factors become more distinct.
Overall, varimax is a popular and widely used technique in factor analysis that aims to simplify and clarify factor structures, making them more understandable and interpretable.
The word "varimax" is derived from "variance maximization". The term was coined by Harman in 1976 to refer to a statistical technique used in factor analysis. The concept behind varimax rotation is to maximize the variation of the squared loadings within each factor, allowing for clearer interpretation of the factors. Hence, the name "varimax" represents the objective of maximizing the variance in factor loadings.