A Weight-Free Index for the Purpose of Ranking or Selection with Respect to Several Traits at a Time. Elston, R. C. Biometrics, 19(1):85–97, 1963.
A Weight-Free Index for the Purpose of Ranking or Selection with Respect to Several Traits at a Time [link]Paper  doi  abstract   bibtex   
The problem is considered of how to rank individuals with respect to measures on several traits jointly when nothing is to be assumed about what economic weights are appropriate. A selection or ranking index is developed on intuitive grounds and then shown to be in a certain sense weight-free. The use of this index is illustrated for two traits measured on chickens. The case where there are errors of measurements is also discussed; in this case a modification of Smith's [1936] selection index may be appropriate.
@article{elston1963WeightFree,
	title = {A {Weight}-{Free} {Index} for the {Purpose} of {Ranking} or {Selection} with {Respect} to {Several} {Traits} at a {Time}},
	volume = {19},
	issn = {0006-341X},
	url = {https://www.jstor.org/stable/2527573},
	doi = {10.2307/2527573},
	abstract = {The problem is considered of how to rank individuals with respect to measures on several traits jointly when nothing is to be assumed about what economic weights are appropriate. A selection or ranking index is developed on intuitive grounds and then shown to be in a certain sense weight-free. The use of this index is illustrated for two traits measured on chickens. The case where there are errors of measurements is also discussed; in this case a modification of Smith's [1936] selection index may be appropriate.},
	number = {1},
	urldate = {2018-10-05},
	journal = {Biometrics},
	author = {Elston, R. C.},
	year = {1963},
	pages = {85--97}
}

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