On entropy optimality of orthogonal design

Ziming Zhang; Changyu Wang

Statistique et analyse des données (1983)

  • Volume: 8, Issue: 2, page 64-80
  • ISSN: 0750-7364

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Zhang, Ziming, and Wang, Changyu. "On entropy optimality of orthogonal design." Statistique et analyse des données 8.2 (1983): 64-80. <http://eudml.org/doc/108898>.

@article{Zhang1983,
author = {Zhang, Ziming, Wang, Changyu},
journal = {Statistique et analyse des données},
keywords = {orthogonal designs; entropy optimality; A-optimality; E-optimality; D- optimality; main effects},
language = {eng},
number = {2},
pages = {64-80},
publisher = {Association pour la statistique et ses illustrations},
title = {On entropy optimality of orthogonal design},
url = {http://eudml.org/doc/108898},
volume = {8},
year = {1983},
}

TY - JOUR
AU - Zhang, Ziming
AU - Wang, Changyu
TI - On entropy optimality of orthogonal design
JO - Statistique et analyse des données
PY - 1983
PB - Association pour la statistique et ses illustrations
VL - 8
IS - 2
SP - 64
EP - 80
LA - eng
KW - orthogonal designs; entropy optimality; A-optimality; E-optimality; D- optimality; main effects
UR - http://eudml.org/doc/108898
ER -

References

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  1. (1) H. Cramer, Mathematical Methods of statistics. Princeton 1946 Zbl0985.62001MR16588
  2. (2) Division of Probability, Department of Mathematics, Beijing University. "On optimality of orthogonal design (I), (II)". Acta Mathematicae Applicatae Sinica n°1, n°2 (1977). 
  3. (1) Raktoe B.L., Hedayat A., Federer W.T. (1981) Factorial Designs, Jonh Wiley & Sons, N.Y., 209 p. Zbl0593.62074MR633756
  4. (2) Rao C.R. (1973) Some combinatorial problems of arrays and applications to design of experiments. In A Survey of Combinatorial Theory (J.N. Srivastava Ed). p. 349-359 North Holland, Amsterdam. Zbl0274.05017MR376398
  5. (3) Seber G.A.F. (1964) Orthogonality in Analysis of Variance. Ann. Math. Statist., 35, p.705-710 Zbl0128.13103MR161438
  6. (4) Mukerjee R. (1980) Orthogonal fractional factorial plans. Calcutta Stat Ass. Bull., 29, p. 143-160. Zbl0482.62066MR614170
  7. (5) Cheng C.S. (1980) Orthogonal arrays with variable number of symbols. Annals. Statist., 8, p. 447-453. Zbl0431.62048MR560740
  8. (6) Mukerjee R. (1982) Universal optimality of fractional factorial plans derivable trough orthogonal arrays. Calcutta Stat. Ass. Bull., 31, p. 63-68 Zbl0503.62071MR691753
  9. (7) Stone M. (1959) Application of a measure of information to the design and comparison of regression experiments. Ann. Math. Statist. 30, p. 55-70. Zbl0094.13602MR106528
  10. (8) Pazman A. (1980) Some features of the optimal design theory - A survey. Math. Operations forsch. Statist., Ser Statistics, II, p. 415-446. Zbl0445.62084MR596522

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