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

Volume 3, Issue 3, 2012 pp 115-120

Research Article

Efficiency of Neighbour Balanced Block Designs for Correlated Observations

R. Senthil kumar¹ and C. Santharam²

^1,2 Department of Statistics, Loyola College, Chennai – 600034 (TN) INDIA.

Academic Editor:  Dr. Dase R.K.

Neighbour Balanced Block Designs for observations correlated within a block have been investigated.  The performance of a series of Complete Neighbour Balanced Design for Autoregressive(AR) and Nearest Neighbour (NN) error correlation structure is studied when generalized least squares estimation is used by Tomar & Seema Jaggi (2007).  In this paper, we have investigated the efficiency of   Neighbour Balanced Block Designs for Moving Average with First Order (MA(1)) and Nearest Neighbour (NN) correlation structures. We have observed that the efficiency is high, in the case of Complete Block Designs for NN correlation structure. However, the efficiency of left and right neighbour effects is more as compared to direct effects of treatments under both the structures.