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COMPUTER AIDED GENERATION OF LINEAR TREND-FREE RESPONSE SURFACE DESIGNS

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Title COMPUTER AIDED GENERATION OF LINEAR TREND-FREE RESPONSE SURFACE DESIGNS
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Creator Susheel Kumar Sarkar
Krishan Lal
 
Subject Response surface designs
linear trend-free designs
Orthogonal polynomials
Run orders
Systematic designs
 
Description Not Available
The treatment combinations of the ordinary full factorial need not be the best for fitting the relationship. Therefore, it is necessary to search for a suitable set of treatment combinations by using which a stipulated relation can be fitted. The special class of designed experiments for fitting the response surfaces is called response surface design. Response surface designs have wide applications in agricultural, biological and industrial experiments. Similar to factorial experiments, experimental units in response surface design may exhibit trend over space or time. Among response surface designs, Box-Behnken design has been studied and linear trend-free design has been obtained. The developed algorithm helps the experimenters who are conducting quantitative factors using response surface designs. There may be a trend in the experimental material and hence we need trend-free design. It provides a complete solution in the sense that it is capable of generating the trend free Box-Behnken design. Trend-free designs are quite useful for such experimental situations. But the construction for such design is not easily available. It is, therefore, required to give easy method of construction, possibly computer aided for the construction of these designs. Thus algorithms have been developed to generate complete factorial experiments each at two levels with any number of factors k (≥4) that are linear trend-free for main effects using the criterion of component-wise product.
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Date 2017-06-01T06:40:46Z
2017-06-01T06:40:46Z
2007-11-01
 
Type Research Paper
 
Identifier Sarkar, S. K. and Lal, K. (2007). Computer Aided Generation of Linear Trend-free Response Surface Designs. Indian Journal of Applied Statistics, 11, 34-38
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http://krishi.icar.gov.in/jspui/handle/123456789/4224
 
Language English
 
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Publisher Not Available