E-optimality of PBB designs with two associate classes

Henryk Brzeskwiniewicz

Mathematica Applicanda (1989)

  • Volume: 17, Issue: 31
  • ISSN: 1730-2668

Abstract

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In this paper, the sufficient condition for the E-optimality of PBB designs with two associate classes is given. This condition is expressed in terms of the parameters of design and their incidence matrix. In particular, the £-optimality criterion for equireplicated designs with binary incidence matrix is given. In this case, we can express the £-optimality criterion in terms of parameters of design only. Finally, we characterized the contrasts of treatment which determine the F-optimality of design.

How to cite

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Henryk Brzeskwiniewicz. "E-optimality of PBB designs with two associate classes." Mathematica Applicanda 17.31 (1989): null. <http://eudml.org/doc/292894>.

@article{HenrykBrzeskwiniewicz1989,
abstract = {In this paper, the sufficient condition for the E-optimality of PBB designs with two associate classes is given. This condition is expressed in terms of the parameters of design and their incidence matrix. In particular, the £-optimality criterion for equireplicated designs with binary incidence matrix is given. In this case, we can express the £-optimality criterion in terms of parameters of design only. Finally, we characterized the contrasts of treatment which determine the F-optimality of design.},
author = {Henryk Brzeskwiniewicz},
journal = {Mathematica Applicanda},
keywords = {Optimal designs},
language = {eng},
number = {31},
pages = {null},
title = {E-optimality of PBB designs with two associate classes},
url = {http://eudml.org/doc/292894},
volume = {17},
year = {1989},
}

TY - JOUR
AU - Henryk Brzeskwiniewicz
TI - E-optimality of PBB designs with two associate classes
JO - Mathematica Applicanda
PY - 1989
VL - 17
IS - 31
SP - null
AB - In this paper, the sufficient condition for the E-optimality of PBB designs with two associate classes is given. This condition is expressed in terms of the parameters of design and their incidence matrix. In particular, the £-optimality criterion for equireplicated designs with binary incidence matrix is given. In this case, we can express the £-optimality criterion in terms of parameters of design only. Finally, we characterized the contrasts of treatment which determine the F-optimality of design.
LA - eng
KW - Optimal designs
UR - http://eudml.org/doc/292894
ER -

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