In Top-Down Decisions, Weighting Variables does Not Matter: A Consequence of Wilks' Theorem

@article{Ree1998InTD,
  title={In Top-Down Decisions, Weighting Variables does Not Matter: A Consequence of Wilks' Theorem},
  author={Malcolm James Ree and Thomas R. Carretta and James A. Earles},
  journal={Organizational Research Methods},
  year={1998},
  volume={1},
  pages={407 - 420}
}
It is often appropriate to weight variables to form a composite for making decisions. Examples include selection systems, organizational performance criteria, test items, and decision modeling. Frequently, criterion-based regression-weighting is employed, but a sizable literature argues for unit or simple weighting. Wainer demonstrated small loss from equal weights compared to regression weights. Usually, weights are of little importance for rank ordering, echoing Wainer's "it don't make no… 
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