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2004 | 24 | 1 | 127-145
Tytuł artykułu

A unified terminology in block designs

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Partially efficiency balanced (PEB) designs with m efficiency classes have been defined by Puri and Nigam [15] as block designs which have simple analysis and, if properly used, allow the important contrasts to be estimated with desired efficiency. Such designs can be made available in varying replications and/or unequal block sizes. However, any block design is a PEB design with m efficiency classes for some m < v, where v is the number of treatments in the design. So the term "PEB" itself is not much informative in a statistical sense. More information may be added to this term. In this paper, a unified terminology is suggested, aimed at giving more statistical meaning to the PEB designs, which may or may not be connected. The paper is essentially based on our recent books "BLOCK DESIGNS: A Randomization Approach", Springer Lecture Notes in Statistics, Vol. 150 (2000), Vol. 170 (2003), with some new additions.
Słowa kluczowe
Kategorie tematyczne
Rocznik
Tom
24
Numer
1
Strony
127-145
Opis fizyczny
Daty
wydano
2004
otrzymano
2003-12-23
Twórcy
  • Agricultural University of Poznań, 60-637 Poznań, Poland
  • Hiroshima University, Higashi-Hiroshima 739-8524, Japan
Bibliografia
  • [1] R.A. Bailey, H. Monod and J.P. Morgan, Construction and optimality of affine-resolvable designs, Biometrika 82 (1995), 187-200.
  • [2] T. Caliński, On some desirable patterns in block designs (with discussion), Biometrics 27 (1971), 275-292.
  • [3] T. Caliński and S. Kageyama, Block designs: Their combinatorial and statistical properties, S. Ghosh and C.R. Rao (eds.), Handbook of Statistics, Volume 13: Design and Analysis of Experiments, Elsevier Science, Amsterdam (1996), 809-873.
  • [4] T. Caliński and S. Kageyama, Block Designs: A Randomization Approach, Volume I: Analysis, Lecture Notes in Statistics, Volume 150, Springer, New York 2000.
  • [5] T. Caliński and S. Kageyama, Block Designs: A Randomization Approach, Volume II: Design, Lecture Notes in Statistics, Volume 170, Springer, New York 2003.
  • [6] B. Ceranka and Z. Kaczmarek, Testing genetic parameters in the mixed model of triallel analysis, A.C. Atkinson, L. Pronzato and H.P. Wynn (eds.), MODA 5 - Advances in Model-Oriented Data Analysis and Experimental Design, Physica-Verlag, Heidelberg (1998), 177-185.
  • [7] B. Ceranka and S. Mejza, A new proposal for classification of block designs, Studia Scient. Mathematicarum Hungarica 15 (1980), 79-82.
  • [8] J.A. John, Cyclic Designs, Chapman and Hall, London 1987.
  • [9] R.M. Jones, On a property of incomplete blocks, J. Roy Statist. Soc. B 21 (1959), 172-179.
  • [10] H.D. Patterson and V. Silvey, Statutory and recommended list trials of crop varieties in the United Kingdom, J. Roy. Statist. Soc. Ser. A 143 (1980), 219-252.
  • [11] S.C. Pearce, Supplemented balance, Biometrika 47 (1960), 263-271.
  • [12] S.C. Pearce, T. Caliński and T.F. de C. Marshall, The basic contrasts of an experimental design with special reference to the analysis of data, Biometrika 61 (1974), 449-460.
  • [13] P.D. Puri and A.K. Nigam, On patterns of efficiency balanced designs, J. Roy. Statist. Soc. B 37 (1975), 457-458.
  • [14] P.D. Puri and A.K. Nigam, A note on efficiency balanced designs, Sankhy¯a B 37 (1975), 457-460.
  • [15] P.D. Puri and A.K. Nigam, Partially efficiency balanced designs, Commun. Statist. -Theor. Meth. A 6 (1977), 753-771.
  • [16] D. Raghavarao, Constructions and Combinatorial Problems in Design of Experiments, John Wiley, New York 1971.
  • [17] G.M. Saha, On Calinski's patterns in block designs, Sankhy¯a B 38 (1976), 383-392.
  • [18] K.R. Shah, Use of inter-block information to obtain uniformly better estimates, Ann. Math. Statist. 35 (1964), 1064-1078.
  • [19] E.R. Williams, Efficiency-balanced designs, Biometrika 62 (1975), 686-689.
  • [20] F. Yates, Incomplete randomized blocks, Ann. Eugen. 7 (1936), 121-140.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1050
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