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Experimental designs and their efficiencies for spatially correlated observations in two dimensions
Authors:PS Gill  GK Shukla
Institution:Department of Mathematics , Indian Institute of Technology , Kanpur, 208016, India
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
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