Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 41, 2012 - Issue 13-14: Advances on Linear Models and Inference
Submit an article Journal homepage
105
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Incomplete Split-Plot Designs Supplemented by a Single Control

Shinji Kuriki Department of Mathematical Sciences, Osaka Prefecture University, Osaka, Japan
,
Iwona Mejza Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Poznań, Poland
&
Stanisław Mejza Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Poznań, PolandCorrespondence[email protected]
Pages 2490-2502 | Received 25 Nov 2010, Accepted 01 Dec 2011, Published online: 11 Jun 2012

References

  • Aastveit , A. H. , Almoy , T. , Mejza , I. , Mejza , S. ( 2009 ). Individual control treatments in split-plot experiments . Statist. Pap. 50 : 697 – 710 .
  • Federer , W. G. , King , F. ( 2007 ). Variations on Split Plot and Split Block Experiment Designs . New York : Wiley .
  • Houtman , A. M. , Speed , T. P. ( 1983 ). Balance in designed experiments with orthogonal block structure . Ann. Statist. 11 : 1069 – 1085 .
  • Kuriki , S. , Nakajima , K. ( 2007 ). Square lattice designs in incomplete split-plot designs . J. Statist. Theor. Practice 1 : 417 – 426 .
  • Mejza , I. ( 1996 ). Control treatments in incomplete split-plot designs . Tatra Mountains Mathematical Publications 7 : 69 – 77 .
  • Mejza , I. , Kuriki , S. , Mejza , S. ( 2001 ). Balanced square lattice designs in split-block designs . Colloquium Biometryczne 31 : 97 – 103 .
  • Mejza , I. , Mejza , S. ( 1984 ). Incomplete split plot designs . Statist. Probab. Lett. 2 : 327 – 332 .
  • Mejza , I. , Mejza , S. ( 1996 ). Incomplete split-plot designs generated by GDPBIBD(2) . Calcutta Statist. Assoc. Bull. 46 : 117 – 127 .
  • Mejza , S. ( 1985 ). A split-plot design with whole plot treatments in an incomplete block design . In: Caliński , T. , Klonecki , W. , eds. Linear Statistical Inference . Lecture Notes in Statistics , Vol. 35. New York : Springer Verlag , pp. 211 – 222 .
  • Mejza , S. (1987). Experiments in incomplete split-plot designs. In: Pukkila , T. , Puntanen , S. , eds. Proc. of Second Int. Tampere Conf. Statist. University of Tampere, pp. 575–584.
  • Mejza , S. ( 1992 ). On some aspects of general balance in designed experiments . Statistica, Anno LII 2 : 263 – 278 .
  • Nelder , J. A. ( 1965 ). The analysis of randomized experiments with orthogonal block structure . Proc. Roy. Soc. London, A 283 : 147 – 178 .
  • Ozawa , K. , Mejza , S. , Jimbo , M. , Mejza , I. , Kuriki , S. ( 2004 ). Incomplete split-plot designs generated by some resolvable balanced designs . Statist. Probab. Lett. 68 : 9 – 15 .
  • 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 .
  • Rao , C. R. , Mitra , S. K. ( 1971 ). Generalized Inverse of Matrices and Its Applications . New York : Wiley .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.