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Control treatments in designs with split units generated by Latin squares

Open Access
|Dec 2014

References

  1. 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.
  2. Caliński T., Kageyama S. (2000): Block Designs: Randomizatiom Approach, Volume I: Analysis, Lecture Notes in Statistics, 150, Springer-Verlag, New York.10.1007/978-1-4612-1192-1
  3. Caliński T., Kageyama S. (2003): Block Designs: Randomizatiom Approach, Volume II: Design, Lecture Notes in Statistics, 170, Springer-Verlag, New York.10.1007/978-1-4419-9246-8
  4. 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.
  5. Clatworthy W.H. (1973): Tables of Two-Associate-Class Partially Balanced Designs. NBS Applied Mathematics Series 63. Washington, D.C, USA.
  6. Hering F., Mejza S. (2002): An incomplete split-block design generated by GDPBIBD(2)s. Journal of Statistical Planning and Inference 106: 125-134.10.1016/S0378-3758(02)00208-2
  7. Houtman A.M., Speed T.P. (1983): Balance in designed experiments with orthogonal block structure. Ann. Statist., 11: 1069-1085.
  8. 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.
  9. Kachlicka D., Mejza S. (1996): Repeated row-column designs with split units. Comp.10.1016/0167-9473(95)00020-8
  10. Statist. & Data Analysis 21: 293-305.
  11. Kachlicka D., Mejza S. (2003): Whole plot control treatments in Youden square with split units. Colloquium Biometryczne 33a: 77-84.
  12. 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.
  13. 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.
  14. Mejza I., Mejza S. (1996): Incomplete split plot designs generated by GDPBIBD(2). Calcutta Statist. Assoc. Bull. 46: 117-127.
  15. Mejza S. (1992): On some aspects of general balance in designed experiments. Statistica, anno LII, 2: 263-278.
  16. 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: 3-10.10.1007/978-3-642-34904-1_1
  17. 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.
  18. 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. 10.1093/biomet/61.3.449
DOI: https://doi.org/10.2478/bile-2014-0009 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811
Language: English
Page range: 125 - 142
Published on: Dec 20, 2014
Published by: Polish Biometric Society
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2014 Shinji Kuriki, Iwona Mejza, Kazuhiro Ozawa, Stanisław Mejza, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.