Experimental designs and their efficiencies for spatially correlated observations in two dimensions

Abstract

Optimality of experimental designs for spatially correlated observations is investigated.come two dimensional correlation structures are discussed and an attempt has been made to find optimal or nearly optimal design for each sitution.The solution lend to designs similar to that used for repeated measurements.The relative efficiency of the proposed designs in comparison to randomized latin square designs is tabulated for some cases.

Keywords:

• auto–normal model
• diubly–geometrics model
• generalized least squares
• efficiency of designs
• Latin square
• nearest meighbour design
• optimal experimental design
• systematic design