Listy Biometryczne - Biometrical Letters Vol. 34(1997), No. 1, 27-34
|
RELATIONSHIPS BETWEEN SOME CLASSES OF OPTIMALITY CRITERIA
Barbara Bogacka and Stanislaw Mejza Department of Mathematical and Statistical Methods, Agricultural University of Poznan, Wojska Polskiego 28, 60-637 Poznan, Poland |
The paper deals with three wide classes of optimality criteria of experimental designs: Universal Optimality, involving the classical definition of convexity of a function, Ge¬neral Optimality, involving a combination of differentiable functions and B-Universal Optimality, where the Schur convexity is used. Two theorems on relationships be¬tween pairs of these classes are proved and some corollaries drawn. The applicability of the considered criteria to designs under fixed and also mixed linear models makes the results general.
optimality criteria, experimental designs, information matrix
