Small, balanced, efficient and near rotatable central composite designs

Standard central composite designs for fitting second-order models usually have a large number of design points, especially when the number of factors under consideration is large. In this paper we propose small, balanced and near rotatable central composite designs reducing the design's size a...

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Bibliographic Details
Published inJournal of statistical planning and inference Vol. 139; no. 6; pp. 2010 - 2013
Main Authors Angelopoulos, P., Evangelaras, H., Koukouvinos, C.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier B.V 01.06.2009
Elsevier
Subjects
Central composite designs
Combinatorics
Combinatorics. Ordered structures
D-value
Designs and configurations
Exact sciences and technology
Experimental design
General topics
Mathematics
Probability and statistics
Rotatability measures
Saturated design
Sciences and techniques of general use
Statistics
Central composite designs
Saturated design
Rotatability measures
D-value
Statistical method
Model matching
Experimental design
Law of large numbers
Statistical decision
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Summary:Standard central composite designs for fitting second-order models usually have a large number of design points, especially when the number of factors under consideration is large. In this paper we propose small, balanced and near rotatable central composite designs reducing the design's size and maintaining the ability to estimate all the model parameters. We list the best designs we identified to accommodate 4 ⩽ k ⩽ 9 experimental factors. A detailed comparison between our findings and already known second-order designs has also been made.
ISSN:0378-3758
1873-1171
DOI:10.1016/j.jspi.2008.09.001