Optimal designs for diallel crosses with specific combining abilities

Biometrika

Volumn 86, Issue 2, 1999, Pages 453-458

  Chai, Feng Shun ^a   Mukerjee, Rahul ^b  

^a INSTITUTE OF STATISTICAL SCIENCE   (Taiwan)

^b INDIAN INSTITUTE OF MANAGEMENT CALCUTTA   (India)

Author keywords

Admissibility; Balance; Orthogonality; Triangular association scheme; Universal optimality

Indexed keywords

EID: 0009363312     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/86.2.453     Document Type: Article

References (12)

1. CURNOW, R. L. (1963). Sampling the diallel cross. Biometrics 19, 287-306.
2. DAS, A., DEY, A. & DEAN, A. M. (1998). Optimal designs for diallel cross experiments. Statist. Prob. Lett. 36, 427-36.
3. DEY, A. & MIDHA, C. K. (1996). Optimal block designs for diallel crosses. Biometrika 83, 484-9.
4. GUPTA, S., DAS, A. & KAGEYAMA, S. (1995). Single replicate orthogonal block designs for circulant partial diallel crosses. Commun. Statist. A 24, 2601-7.
5. GUPTA, S. & KAGEYAMA, S. (1994). Optimal complete diallel crosses. Biometrika 81, 420-4.
6. GUPTA, S. & MUKERJEE, R. (1989). A Calculus for Factorial Arrangements. Berlin: Springer-Verlag.
7. HINKELMANN, K. (1975). Design of genetical experiments. In A Survey of Statistical Design and Linear Models, Ed. J. N. Srivastava, pp. 243-69. Amsterdam: North-Holland.
8. KIEFER, J. (1975). Construction and optimality of generalized Youden designs. In A Survey of Statistical Design and Linear Models, Ed. J. N. Srivastava, pp. 333-53. Amsterdam: North-Holland.
9. MUKERJEE, R. (1997). Optimal partial diallel crosses. Biometrika 84, 939-48.
10. MUKERJEE, R. & BOSE, M. (1989). Admissibility in factorial designs. Commun. Statist. A 18, 1152-8.
11. SHAH, B. V. (1960). Balanced factorial experiments. Ann. Math. Statist. 31, 502-14.
12. SINHA, B. K. & MUKERJEE, R. (1982). A note on the universal optimality criterion for full rank models. J. Statist. Plan. Infer. 7, 97-100.