Abstract
Many authors have demonstrated for idealized item configurations that equal item weights are often virtually as good for a particular predictive purpose as the item weights that are theoretically optimal. What has not been heretofore clear, however, is what happens to the similarity between weighted and unweighted composites of the same items when the item configuration's variance structure is complex.
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Rozeboom, W.W. Sensitivity of a linear composite of predictor items to differential item weighting. Psychometrika 44, 289–296 (1979). https://doi.org/10.1007/BF02294694
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DOI: https://doi.org/10.1007/BF02294694