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Coefficients alpha for components.

H F Kaiser1, W T Norman

  • 1Educational Testing Service, Berkeley, California.

Psychological Reports
|August 1, 1991
PubMed
Summary
This summary is machine-generated.

A new formula for coefficient alpha for components is developed. It is conjectured that the sum of coefficients alpha is invariant under orthogonal rotation, supported by a numerical example.

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Area of Science:

  • Psychometrics
  • Multivariate Statistics

Background:

  • Coefficient alpha is a widely used measure of internal consistency reliability.
  • Determining the appropriate number of components in factor analysis is crucial for valid interpretation.

Purpose of the Study:

  • To develop a formula for coefficient alpha applicable to individual components in factor analysis.
  • To investigate the invariance of the sum of coefficient alphas under orthogonal rotation.

Main Methods:

  • Derivation of a novel formula for component-wise coefficient alpha.
  • Application of Kaiser's special formula for principal components.
  • Utilization of the Kaiser-Guttman Rule for component selection.

Main Results:

Related Experiment Videos

  • A formula for calculating coefficient alpha for a component was successfully developed.
  • A numerical example demonstrated the application of the derived formula.
  • The study presents a conjecture regarding the invariance of the sum of coefficient alphas under orthogonal rotation.

    • Conclusions:

    • The developed formula provides a method for assessing the reliability of individual components.
    • Further research is needed to formally prove the conjecture on the invariance of the sum of coefficient alphas.