ISSN:
1860-0980
Keywords:
reliability bounds
;
coefficient alpha
;
non-homogeneous composites
Source:
Springer Online Journal Archives 1860-2000
Topics:
Psychology
Notes:
Abstract Let Σ x be the (population) dispersion matrix, assumed well-estimated, of a set of non-homogeneous item scores. Finding the greatest lower bound for the reliability of the total of these scores is shown to be equivalent to minimizing the trace of Σ x by reducing the diagonal elements while keeping the matrix non-negative definite. Using this approach, Guttman's bounds are reviewed, a method is established to determine whether his λ4 (maximum split-half coefficient alpha) is the greatest lower bound in any instance, and three new bounds are discussed. A geometric representation, which sheds light on many of the bounds, is described.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02295979
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