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2014 | 51 | 2 | 125-142
Tytuł artykułu

Control treatments in designs with split units generated by Latin squares

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper deals with two-factor experiments with split units. The whole plot treatments occur in a repeated Latin square, modified Latin square or Youden square, while subplot treatments occur in a block design within the whole plots. The statistical properties of the considered designs are examined. Special attention is paid to the case where one of the treatments is an individual control or an individual standard treatment. In addition, we give a brief overview of work on the design of experiments using the considered designs, as well as possible arrangements of controls in the experiments.
Wydawca
Czasopismo
Rocznik
Tom
51
Numer
2
Strony
125-142
Opis fizyczny
Daty
wydano
2014-12-01
online
2014-12-20
Twórcy
  • Department of Mathematical Sciences, Graduate School of Engineering,Osaka Prefecture University, 1-1 Gakuen-cho, Naka-ku, Sakai, Osaka 599-8531, Japan
autor
  • Department of Mathematical and Statistical Methods, Poznan University of Life Sciences, Wojska Polskiego 28, PL-60-637 Poznań, Poland
  • Department of Nursing, Gifu College of Nursing, Hashima, Gifu 501-6295, Japan
  • Department of Mathematical and Statistical Methods, Poznan University of Life Sciences, Wojska Polskiego 28, PL-60-637 Poznań, Poland
Bibliografia
  • Bailey R. (1995): General balance: artificial theory or practical relevance. Proc. of the International Conference on Linear Statistical Inference, LINSTAT’93, Mathematics and Applications. Vol. 306, Kluwer Academic Publishers, Dordrecht: 171-184.
  • Caliński T., Kageyama S. (2000): Block Designs: Randomizatiom Approach, Volume I: Analysis, Lecture Notes in Statistics, 150, Springer-Verlag, New York.
  • Caliński T., Kageyama S. (2003): Block Designs: Randomizatiom Approach, Volume II: Design, Lecture Notes in Statistics, 170, Springer-Verlag, New York.
  • Ceranka B., Mejza S. (1987): Merging of treatments in certain partially efficiency balanced block designs with two different numbers of replications. Calcutta Statist. Assoc. Bull. 36: 49-55.
  • Clatworthy W.H. (1973): Tables of Two-Associate-Class Partially Balanced Designs. NBS Applied Mathematics Series 63. Washington, D.C, USA.
  • Hering F., Mejza S. (2002): An incomplete split-block design generated by GDPBIBD(2)s. Journal of Statistical Planning and Inference 106: 125-134.
  • Houtman A.M., Speed T.P. (1983): Balance in designed experiments with orthogonal block structure. Ann. Statist., 11: 1069-1085.
  • Kachlicka D., Hering F., Mejza S. (2004): Control treatments in Youden Square with Split Units. Folia Fac. Sci. Nat. Univ. Masaryk. Brunensis, Mathematica 15: 137-144.
  • Kachlicka D., Mejza S. (1996): Repeated row-column designs with split units. Comp.
  • Statist. & Data Analysis 21: 293-305.
  • Kachlicka D., Mejza S. (2003): Whole plot control treatments in Youden square with split units. Colloquium Biometryczne 33a: 77-84.
  • Kachlicka D., Mejza S. (2006): Repeated Youden Square with Split Units generated by GDPBIBD(2). XVIIth. Summer School of Biometrics, "Current Trends in Biometrical Research", G. J. Mendel University of Agriculture and Forestry, Lednice, August 21 - 25. 2006. Eds. J. Hartmann i J. Michalek: 159-160.
  • Kuriki S., Mejza S., Mejza I., Kachlicka D. (2009): Repeated Youden squares with subplot treatments in a proper incomplete block design. Biometrical Letters 46(2): 153-162.
  • Mejza I., Mejza S. (1996): Incomplete split plot designs generated by GDPBIBD(2). Calcutta Statist. Assoc. Bull. 46: 117-127.
  • Mejza S. (1992): On some aspects of general balance in designed experiments. Statistica, anno LII, 2: 263-278.
  • Mejza S., Kuriki S. (2013): Youden Square with Split Units. J.L. da Silva et al. (eds.), Advances in Regression, Survival Analysis, Extreme values, Markov Processes and Other Statistical Applications, Studies in Theoretical and Applied Statistics, DOI 10.1007/978-3-642-34904-1 1; Springer-Verlag Berlin Heidelberg: 3-10.[Crossref]
  • Mejza S., Kuriki S. Kachlicka D. (2009). Repeated Youden Squares with subplot treatments in a group-divisible design. Journal of Statistics and Applications 4: 369-377.
  • Pearce S.C., Caliński T., Marshall T.F. de C. (1974): The basic contrasts of an experimental design with special reference to the analysis of data. Biometrika 61: 449-460.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_bile-2014-0009
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