FACTOR ANALYZE Meaning and
Definition
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Factor analysis is a statistical technique used to analyze and understand the underlying structure or patterns in a set of observed variables. It is a multivariate statistical method employed to identify and describe latent variables (also known as factors) that explain the correlation among observed variables.
In factor analysis, a large number of observed variables are initially reduced into a smaller set of unobservable variables (factors). These factors are hypothetical constructs that remain unmeasured directly but are derived from the observed variables based on their interrelations. The aim is to determine the number of factors that explain the most significant proportion of variance in the observed variables.
Factor analysis helps uncover the underlying dimensions or dimensions that influence the observed variables. By extracting common variance and removing unique variance, factor analysis aids in interpreting the data more efficiently and discovering the latent constructs that drive variability in the observed variables.
The process of factor analysis involves calculating factor loadings, which indicate the degree of association between each observed variable and the underlying factor(s). These factor loadings assist in determining which variables strongly contribute to each factor. Furthermore, factor analysis can also include factor rotation, which simplifies the structure of the factors and enhances interpretability.
Overall, factor analysis is a valuable statistical method that provides insights into the hidden structure or latent variables that can help researchers understand the relationships among numerous observed variables.
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Etymology of FACTOR ANALYZE
The word "factor analyze" is a combination of two terms: "factor" and "analyze".
The term "factor" originates from the Latin word "factor" which means "doer" or "maker". In mathematics, a factor refers to a number or quantity that divides another number or quantity evenly. In the context of factor analysis, a factor represents a latent variable that underlies the observed variables.
The term "analyze" comes from the Greek word "analyein" which means "to break up" or "to loosen". In English, it refers to the process of examining something in detail or unraveling its components.
When combined, "factor analyze" thus refers to the statistical technique of factor analysis, which involves breaking down observed variables into latent factors for analysis and interpretation.
Similar spelling words for FACTOR ANALYZE
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