Minimax Average MSE Designs for Estimating Mean Responses

  • Joong-Yang Park (Professor, Department of Statistics, Gyeongsang National University, Chinju, 660-701, Korea)
  • Published : 1996.12.01


The unknown response function is usually approximated by a low order polynomial model. Such an approximation always accompanies bias due to model departure. The minimax Average MSE (AMSE) designs are suggested for estimating mean responses. A class of first order minimax AMSE designs is derived and a specific first order minimax AMSE design is selected from the class by optimizing the secondary criterion related to the power of the lack of fit test.



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