A relationship between harris factors and guttman's sixth lower bound to reliability |
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Authors: | W. Alan Nicewander |
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Affiliation: | 1. University of Oklahoma, USA
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Abstract: | Using an approach nearly identical to one adopted by Guttman, it is established that within the framework of classical test theory the squared multiple correlation for predicting an element of a composite measure from then — 1 remaining elements is a lower-bound to the reliability of the element. The relationship existing between the reliabilities of the elements of a composite measure and their squared-multiple correlations with remaining elements is used to derive Guttman's sixth lower bound (λ 6) to the reliability of a composite measure. It is shown that Harris factors of a correlation matrixR are associated with a set of (observable) uncorrelated latent variables having maximum coefficientsλ 6. |
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