kaisercaffrey: Obtain Kaiser-Caffrey's alpha (principal component analysis...

In eunscho/unirel: Compute and Compare Unidimensional Reliability Coefficients

Description

Kaiser-Caffrey's (1965) alpha is the principal component analysis (PCA) reliability. They presented this formula in the context of factor analysis, but Bentler (1968) showed that it was in fact PCA reliability. Armor (1974), citing Bentler (1968), referred to this formula as theta, and some studies refer to it as Armor's theta. Kaiser and Caffrey (1965) labeled this formula alpha, and people may have mistaken it for coefficient alpha. See Vehkalahti (2000) and Cho(in press) for further explanation of this formula.

Usage

kaisercaffrey(data)

Arguments

data	a dataframe or a matrix (unidimensional)

Value

Kaiser-Caffrey's alpha

References

Armor, D. J. (1974). Theta reliability and factor scaling. In H. L. Costner (Ed.), Sociological methodology (pp. 17-50). Jossey-Bass.

Bentler, P. M. (1968). Alpha-maximized factor analysis (alphamax) : Its relation to alpha and canonical factor analysis. Psychometrika, 33(3), 335-345.

Cho, E. (in press). Neither Cronbach's alpha nor McDonald's omega: A comment on Sijtsma and Pfadt. Psychometrika.

Kaiser, H. F., & Caffrey, J. (1965). Alpha factor analysis. Psychometrika, 30(1), 1-14.

Vehkalahti, K. (2000). Reliability of measurement scales: Tarkkonen's general method supersedes Cronbach's alpha. University of Helsinki.

Examples

kaisercaffrey(Graham1)

eunscho/unirel documentation built on Dec. 20, 2021, 6:44 a.m.