Incomplete split-block designs

Biometrical Journal

Volumn 39, Issue 2, 1997, Pages 227-238

  Hering, Franz ^a   Mejza, Stanislaw ^b  

^a TU DORTMUND UNIVERSITY   (Germany)

^b POZNA UNIVERSITY OF LIFE SCIENCES   (Poland)

Author keywords

Efficiency factors; General balance; Incomplete split block designs; Nested row column structure; Randomization

Indexed keywords

BALANCE PROPERTY; BLOCK DESIGNS; EFFICIENCY FACTOR; GENERAL BALANCES; INCOMPLETE SPLIT-BLOCK DESIGN; NESTED ROW-COLUMN STRUCTURE; RANDOMISATION; ROW-COLUMN; SPLIT-BLOCK; STATISTICAL PROPERTIES;

EID: 0031476099     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/bimj.4710390210     Document Type: Article

References (16)

1. BHARGAVA, R. P. and SHAH, K. R., 1975: Analysis of some mixed models for block and split-plot designs. Ann. Inst. Statist. Math. 27, 365-375.
2. CALINSKI, T., 1977: On the notion of balance in block design. In: J. R. BARRA et al. (eds.): Recent Developments in Statistics. North Holland, Amsterdam, 365-374.
3. COCHRAN, W. G. and Cox, G. M., 1957: Experimental designs. Wiley, New York.
4. GOMEZ, K. A. and GOMEZ, A. A., 1984: Statistical Procedures for Agricultural Research. Wiley, New York.
5. HINKELMANN, K. and KEMPTHORNE, O., 1994: Design and Analysis of Experiments. Wiley, New York.
6. HOUTMAN, A. M. and SPEED, T. P., 1983: Balance in designed experiments with orthogonal block structure. Ann. Statist. 11, 1069-1085.
7. MEJZA, I., 1987: A note on the analysis of split-block designs. In: Proceedings of the SDA'87 -Statistical Data Analysis. Bulgarian Academy of Sciences, Sofia, 128-132.
8. MEJZA, I. and MEJZA, S., 1984: Incomplete split-plot designs. Statist. Probab. Lett. 2, 327-332.
9. MEJZA, I. and MEJZA, S., 1994: Model building and analysis for block designs with nested rows and columns. Biom. J. 36, 327-340.
10. MEJZA, S., 1987: Incomplete split-plot designs. In: T. Pukkila and S. PUNTANEN (eds.) Proc. Second International Tampere Conference in Statistics., 575-584.
11. MEJZA, S., 1992: On some aspects of general balance in designed experiments. Statistica, anno LII, 2, 263-278.
12. NELDER, J. N., 1965: The analysis of experiment with orthogonal block structure. Proc. R. Soc. Lond. A283, 147-178.
13. PEARCE, S. C., 1983: The agricultural field experiment. A statistical examination of theory and practice. Wiley, New York.
14. PEARCE, S. C., CALINSKI, T., and MARSHALL, T. F. DE C., 1974: The basic contrasts of an experimental design with special reference to the analysis of data. Biometrika 54, 449-460.
15. REES, D. H., 1969: The analysis of variance of some non-orthogonal designs with split-plots. Biometrika 56, 43-54.
16. ROBINSON, J., 1970: Blocking in incomplete split-plot designs. Biometrika 57, 347-350.