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On the choice of optimality criteria in comparing statistical designs
Author(s) -
Shah K. R.,
Sinha B. K.
Publication year - 1989
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315530
Subject(s) - class (philosophy) , optimality criterion , mathematics , mathematical optimization , sense (electronics) , optimal design , computer science , rest (music) , statistics , artificial intelligence , medicine , electrical engineering , cardiology , engineering
We formulate in a reasonable sense a class of optimality functionals for comparing feasible statistical designs available in a given setup. It is desired that the optimality functionals reflect symmetric measures of the lack of information contained in the designs being compared. In view of this, Kiefer's (1975) universal optimality criterion is seen to rest on stringent conditions, some of which can be relaxed while preserving optimality (in an extended sense) of the so‐called balanced designs.