Optimal row-column design for three treatments

Journal of Statistical Planning and Inference

Volumn 137, Issue 4, 2007, Pages 1474-1487

  Morgan, J P ^a   Parvu, Valentin ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b BD Technologies   (United States)

Author keywords

A optimality; Row column blocking; Uniform treatment assignment

Indexed keywords

EID: 33845220312     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2006.02.006     Document Type: Article

References (22)

1. Bagchi S. An infinite series of adjusted orthogonal designs with replication two. Statist. Sinica 6 (1996) 975-987
2. Bagchi S., and Shah K.R. On the optimality of a class of row-column designs. J. Statist. Plann. Inference 23 (1989) 397-402
3. Bagchi S., and van Berkum E.E.M. On the optimality of a new class of adjusted orthogonal designs. J. Statist. Plann. Inference 28 (1991) 61-65
4. Cheng C.-S. Optimal incomplete block designs with four varieties. Sankhyā B 41 (1979) 1-14
5. Cheng C.-S. Construction of Youden hyperrectangles. J. Statist. Plann. Inference 3 (1979) 109-118
6. Cheng C.-S. Optimality and construction of pseudo-Youden designs. Ann. Statist. 9 (1981) 201-205
7. Constantine G.M. Some E-optimal block designs. Ann. Statist. 9 (1981) 886-892
8. Das A. E-optimal block and row-column designs with unequal number of replicates. Sankhyā B 55 (1993) 77-90
9. Das A., and Dey A. Universal optimality and nonoptimality of some row-column designs. J. Statist. Plann. Inference 31 (1992) 263-271
10. Jacroux M. Some E and MV-optimal designs for the two-way elimination of heterogeneity. Ann. Inst. Statist. Math. 37 (1985) 557-566
11. Jacroux M. Some E-optimal row-column designs. Sankhyā B 48 (1986) 31-39
12. Jacroux M. Some E and MV-optimal row-column designs having equal numbers of rows and columns. Metrika 6 (1987) 361-381
13. Jacroux M. Some E-optimal row-column designs having unequally replicated treatments. J. Statist. Plann. Inference 26 (1990) 65-81
14. Kiefer J. Construction and optimality of generalized Youden designs. In: Srivastava J.N. (Ed). A Survey of Statistical Design and Linear Models (1975), North-Holland, Amsterdam 333-353
15. Magda C.G. Circular balanced repeated measurements designs. Commun. Statist. Theory Methods 9 (1980) 1901-1918
16. Marshall A.W., and Olkin I. Inequalities: Theory of Majorization and its Applications (1979), Academic Press, New York
17. Morgan J.P. On pairs of Youden designs. J. Statist. Plann. Inference 60 (1997) 367-387
18. Parvu, V., 2004. Optimal blocking for three treatments and BIBD robustness: two problems in design optimality. Ph.D. Dissertation, Virginia Polytechnic Institute and State University, Blacksburg. 〈http://scholar.lib.vt.edu/theses/available/etd-12032004-163822/unrestricted/dissertation.pdf〉.
19. Parvu, V., Morgan, J.P., 2005. E-optimal designs for three treatments, submitted.
20. Shah K.R., and Sinha B.K. Theory of Optimal Designs (1989), Springer, New York
21. Singh R., and Gupta V.K. E-optimal designs for two-way elimination of heterogeneity. Sankhyā B 53 (1991) 97-104
22. Sonnemann E. U-optimum row-columns designs for the comparison of two treatments. Metrika 32 (1985) 57-63