Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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A Graphical Method for Evaluating the Effect of Blocking in Response surface Designs Using Cuboidal Regions

  • Sang-Hyun Park (Division of Mathematical Sciences, Pukyong National University) ;
  • Dae-Heung Jang (Division of Mathematical Sciences, Pukyong National University)
  • Published : 1998.12.01
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Abstract

When fitting a response surface model, the least squares estimates of the model's parameters and the prediction variance will generally depend on how the response surface design is blocked. That is, the choice of a blocking arrangement for a response surface design can have a considerable effect on estimating the mean response and on the size of the prediction variance even if the experimental runs are the same. Therefore, care should be exercised in the selection of blocks. In this paper, we prognose a graphical method for evaluating the effect of blocking in a response surface designs using cuboidal regions in the presence of a fixed block effect. This graphical method can be used to investigate how the blocking has influence on the prediction variance throughout the entire experimental region of interest when this region is cuboidal, and compare the block effect in the cases of the orthogonal and non-orthogonalblockdesigns, resfectively.

Keywords

References

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