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Journal of Statistical Theory and Practice

, Volume 9, Issue 2, pp 361–375 | Cite as

Efficient Response Surface Designs for the Second-Order Multivariate Polynomial Model Robust to Missing Observation

  • Tanvir Ahmad
  • Munir Akhtar
Article

Abstract

Standard central composite design (CCD) originally requires that its factorial portion contains a full factorial design or fractional factorial design of resolution V or higher so that all effects of vital interest could be estimated. A CCD can be an ideal choice for lower number of factors (k). For k > 5, the standard CCD becomes very large and when, with the purpose of reduction of design size, the initial fractional factorial of resolution III or IV is used, the lower order effects are confounded. Block and Mee (2001) proposed some economical designs for k > 5. The designs were named as repaired resolution central composite (RRCC) designs; these actually repaired the portion containing factorial fractions of resolution III or IV. After repairing, the words of length four or lower were de-aliased and the effects of vital importance became estimable. In this study, some new versions of RRCC designs are constructed. All classes of designs are studied for their robustness to missing data. Loss of missing different kinds of design points has been computed.

Keywords

Central composite designs Repaired resolution central composite designs Missing observations Minimax loss criterion 

AMS Subject Classification

62K20 

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Copyright information

© Grace Scientific Publishing 2015

Authors and Affiliations

  1. 1.Department of StatisticsGovernment College UniversityFaisalabadPakistan
  2. 2.COMSATS Institute of Information Technology (CIIT)WahPakistan

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