Which statement describes the Anderson-Rubin method?

Which statement describes the Anderson-Rubin method?

• A. It calculates factor scores that are uncorrelated and standardized
• B. It computes correlation coefficients
• C. It tests for equal variances
• D. It plots means across categories

Answer: (A)

Factor scores in factor analysis: the Anderson–Rubin method creates estimates of the latent factors that are uncorrelated with one another and standardized to have unit variance. In other words, the factor scores are orthogonal and each has a variance of one, which makes them easy to use in further analyses and interpretation because they behave like independent, on-the-same-scale measurements of the underlying constructs. This is achieved by constructing linear combinations of the observed variables under constraints that enforce both zero correlations among the scores and standardized scaling. Other statements describe different statistical tasks: calculating correlation coefficients, testing for equal variances, or plotting means across categories are not about the properties of factor score estimates. The defining feature of the Anderson–Rubin approach is producing factor scores that are uncorrelated and standardized.

Factor scores in factor analysis: the Anderson–Rubin method creates estimates of the latent factors that are uncorrelated with one another and standardized to have unit variance. In other words, the factor scores are orthogonal and each has a variance of one, which makes them easy to use in further analyses and interpretation because they behave like independent, on-the-same-scale measurements of the underlying constructs. This is achieved by constructing linear combinations of the observed variables under constraints that enforce both zero correlations among the scores and standardized scaling.

Other statements describe different statistical tasks: calculating correlation coefficients, testing for equal variances, or plotting means across categories are not about the properties of factor score estimates. The defining feature of the Anderson–Rubin approach is producing factor scores that are uncorrelated and standardized.