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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 7, Issue 2, September 2013 pp 19-23

Research Article

Optimality and Efficiency of Circular Neighbor Balanced Design

Jeevitha M.¹, C. Santharam²

Academic Editor:  Dr. Dase R.K.

This paper deals with the study of optimality of circular neighbor balanced designs for total effects when the one-sided or two sided neighbor effects are present in the models and the observation errors are correlated according to first order circular stationary autoregressive process. Some optimality results under some specified conditions are provided and the efficiencies of circular neighbor balanced designs relative to the optimal continuous block designs are also investigated. In order to discuss the efficiency of circular neighbor balanced designs among all possible block designs with the same parameters, the optimal continuous block designs are characterized and the efficiencies of circular neighbor balanced with block of small size k≤ 16 are illustrated.