Sage Journals: Discover world-class research

Abstract

In this article we are presenting method of construction of three series of optimal partial triallel cross designs through complete diallel cross designs which have been obtained by nested balanced incomplete block designs.

Keywords

Block design partial triallel cross nested balanced incomplete block design universal optimality

Get full access to this article

View all access options for this article.

References

Arora

B. S.

, & Aggarwal

K. R.

(1984). Confounded trialllel experiments and their applications. Sankhya, B46, 54-63.

Arora

B. S.

, & Aggarwal

K. R.

(1989). Triallel experiments with reciprocal effects. Jour. Ind. Soc. Agril. Stat., 41, 91-103.

Bose

R. C.

(1939). On the construction of balanced incomplete block designs. Ann. Eugen., 9, 353-399.

Ceranka

Chudzik

Dobek

, & Kielczewska

(1990). Estimation of parameters for triallel crosses compared in block designs. Statist. Appl., 2, 27-35.

Cheng

C. S.

(1978). Optimality of certain asymmetrical experimental designs. Ann. Statist., 1239-1261.

Das

, & Gupta

(1997). Optimal block designs for triallel cross experiments. Commu. Stat.-theory and Methods, 26, 1767-1777.

Das

Dey

, and Dean

A. M.

(1998). Optimal designs for diallel cross experiments. Statist. Prob. Letters., 36, 427-436.

Dey

Das

U. S.

, & Banerjee

A. K.

(1986). On nested balanced incomplete block designs. Calcutta Statist. Assoc. Bull., 35, 161-167.

Dey

, & Midha

C. K.

(1996). Optimal designs for diallel crosses. Biometrika, 83(2), 484-489.

10.

Das

Dey

, & Dean

A. M.

(1998). Optimal designs for diallel cross experiments. Statistics and Probabilty Letters, 36, 427-436.

11.

Griffing

(1956). Concepts of general and specific combining ability in relation to diallel crossing system. Aus. J. Biol. Sci., 9, 463-493.

12.

Gupta

, & Kageyama

(1994). Optimal complete diallel crosses. Biometrika, 81, 420-424.

13.

Harun

Varghese

, & Jaggi

(2016a). Three-way cross designs for animal breeding experiments. The Indian Journal of Animal Sciences, 86(6), 99-00.

14.

Harun

Varghese

, & Jaggi

(2016b). Triallel cross designs for comparing a set of test lines with a control line. The Indian Journal of Genetics and plant Breeding, 76(1), 84-87.

15.

Hinkelmann

(1965). Partial triallel crosses. Sankhya, A27, 173-196.

16.

Hinkelmann

(1975). A Survey of Statistical Design and Linear Models, 243-269, Amsterdam; North Hollond.

17.

Kiefer

(1975). Construction and optimality of generalized Youden designs. In a Survey of Statistical Design and Linear Models, ED. J. N. Srivastava, (1975), pp. 333-353. Amsterdam: North Hollond.

18.

Narain

(1990). Statistical Genetics. Wiley Eastern Limited, New Delhi.

19.

Parsad

Gupta

V. K.

, & Gupta

(2005). Optimal designs for diallel and double cross experiments. Utilitas Mathematica, 68, 11-32.

20.

Ponnuswamy

K. N.

, & Srinivasan

M. R.

(1991). Construction of partial triallel crosses (PTC) using a class of balanced incomplete block designs (BIBD). Commu. Stat-Theory and Methods, A20, 3315-3.

21.

Preece

D. A.

(1967). Nested balanced incomplete block design. Biometrika, 54, 479-486.

22.

Rawlings

J. O.

, & Cockerham

C. C.

(1962). Triallel analysis. Crop Sci., 2, 228-231.

23.

Sharma

M. K.

Asedewoin

, & Misganaw (2011). Optimal partial triallel cross designs. Model Assisted Statistics and Applications, 6, 1-8.

24.

Sharma

M. K.

, & Fanta

(2012). Optimal partial triallel cross. Jour. of Indian Society of Ag. Stat., 66(2), 289-294.

25.

Sharma

M. K.

, & Tadesse

(2017). Optimal block and row-column designs for CDC methods. Sankhya Ser. B, 1-14. DOI 10.1007/s13571-016-0126-6.

26.

Shunmugathai

, & Srinivasan

M. R.

(2012). Robustness of triallel cross experiments using NBIB mating designs against interchange of a cross. Internaional Journal of Mathematics and Scientific Computing, 2(2), 86-92.

27.

Subbarayan

(1992). On the applications of pure cyclic triple system for plant breeding experiments. Journal of Applied Statistics, 19(4), 489-500.