Communications for Statistical Applications and Methods

  • 제7권3호
  • /
  • Pages.741-757
  • /
  • 2000
  • /
  • 2287-7843(pISSN)
  • /
  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Evaluation of the Block Effects in Response Surface Designs with Random Block Effects over Cuboidal Regions

  • 발행 : 2000.12.01
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초록

In may experimental situations, whenever a block design is used, the block effect is usually considered to be fixed. There are, however, experimental situations in which it should be treated as random. 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 he prediction variance even if the experimental runs re the same. Therefore, care should be exercised in the selection of blocks. In this paper, in the presence of a random block effect, we propose a graphical method or evaluating the effect of blocking in response surface designs using cuboidal regions. This graphical method can be used to investigate how the blocking has influence on the prediction variance throughout all experimental regions of interest when this region is cuboidal, and compare the block effects in the cases of the orthogonal and non-orthogonal block designs, respectively.

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참고문헌

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  7. Journal of Applied Statistics v.21 Effect of Blocking on the Estimation of a Response Surface
  8. Journal of Quality Technology v.28 Response Surface Models with Mixed Effects
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  15. Journal of the Korean Society for Quality Management v.27 no.1 A Measure for Evaluating the Effect of Blocking in Response Surface Designs Using Cuboidal Regions
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  17. Technometrics v.33 A Graphical Approach for Evaluating Response Surface Designs in Terms of the Mean Squared Error of Prediction Vining, G.G.;Myers, R.H.