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

Volume 4, Issue 1, 2012 pp 01-05

Research Article

Efficiency of Nearest Neighbour Balanced Block Designs for Correlated Observations (ARMA Models)

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 Designs, permitting the estimation of direct and neighbour effects, are used when the treatment applied to one experimental plot may affect the response on neighbouring plots as well as the response on the plot to which it is applied.  The allocation of treatments in these designs is such that every treatment occurs equally often with every other treatment as neighbours. Neighbour Balanced Block Designs for Observations Correlated within a block have been investigated.  The performance of a series of Complete Neighbour Balanced Design for Moving Average with First order (MA(1)) and Nearest Neighbour (NN) error correlation structure is studied when generalized least squares estimation is used by Senthil Kumar & Santharam (2012).  In this paper, we have investigated that, the efficiency of   Neighbour Balanced Block Designs for AutoRegressive Moving Average with First Order (ARMA(1,1)) and NN correlation structures. The performance of Nearest neighbour balanced block designs is satisfactory for ARMA(1,1) models. However, the efficiency of left and right neighbour effects is more as compared to direct effects of treatments under NN correlation structure.

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