Extension of Central Composite Design for Second-Order Response Surface Model Building

2010 ◽  
Vol 39 (7) ◽  
pp. 1202-1211 ◽  
Author(s):  
Hee J. Park ◽  
Sung H. Park
Keyword(s):  
Central Composite Design ◽  
Response Surface ◽  
Model Building ◽  
Response Surface Model ◽  
Second Order ◽  
Surface Model ◽  
Central Composite

scholarly journals Central Composite Design for Response Surface Methodology and Its Application in Pharmacy

2021 ◽  
Author(s):  
Sankha Bhattacharya
Keyword(s):  
Central Composite Design ◽  
Response Surface ◽  
Response Surface Model ◽  
Fractional Factorial ◽  
Surface Model ◽  
Experimental Conditions ◽  
Design Models ◽  
Central Composite

The central composite design is the most commonly used fractional factorial design used in the response surface model. In this design, the center points are augmented with a group of axial points called star points. With this design, quickly first-order and second-order terms can be estimated. In this book chapter, different types of central composite design and their significance in various experimental design were clearly explained. Nevertheless, a calculation based on alpha (α) determination and axial points were clearly described. This book chapter also amalgamates recently incepted central composite design models in various experimental conditions. Finally, one case study was also discussed to understand the actual inside of the central composite design.

Extraction of Flavonoids from Clovers

2012 ◽  
Vol 195-196 ◽  
pp. 360-363
Author(s):  
Chun Gang Chen ◽  
Fen Xia Han ◽  
Yuan Zhang ◽  
Yu Zhong Shi
Keyword(s):  
Response Surface Methodology ◽  
Optimum Condition ◽  
Central Composite Design ◽  
Response Surface ◽  
Ethanol Concentration ◽  
Response Surfaces ◽  
Second Order ◽  
Order Model ◽  
Solid Ratio ◽  
Central Composite

The extraction of flavonoids from clovers was optimized to maximize flavonoid yield Y in this study. A central composite design of response surface methodology involving extracting time, liquid-solid ratio, extracting temperature and ethanol concentration was used, and second-order model for Y was employed to generate the response surfaces. The optimum condition for Y was determined as follows: extracting time 24min, liquid-solid ratio 20, extracting temperature 80°C, and ethanol concentration 72%. Under the optimum condition, the flavonoid yield was 2.49%.

Optimization of Fermentation Process of Pear Vinegar by Response Surface Methodology

2011 ◽  
Vol 201-203 ◽  
pp. 2513-2516 ◽  
Author(s):  
Han Gao ◽  
Gui Fang Xu ◽  
Yuan Yuan Fan ◽  
Hai Juan Nan ◽  
Su Fang Fu
Keyword(s):  
Response Surface Methodology ◽  
Optimum Condition ◽  
Central Composite Design ◽  
Response Surface ◽  
Fermentation Process ◽  
Second Order ◽  
Order Model ◽  
Optimization Of Fermentation ◽  
Temperature Time ◽  
Central Composite

The fermentation process of pear vinegar was optimized to maximize the amount of acetate in this study. A central composite design of response surface methodology involving inoculation rate, temperature, time was used, and second-order model for the amount of acetate was employed to generate the response surface. The optimum condition for the fermentation process was determined as follows: inoculation rate 8.65 %, temperature 30.17 °C, time 7.44 d. The obtained amount of acetate at the optimum condition was 9.53%.

scholarly journals Alternative Second-Order N-Point Spherical Response Surface Methodology Design and Their Efficiencies

2016 ◽  
Vol 5 (4) ◽  
pp. 22
Author(s):  
Mary Paschal Iwundu
Keyword(s):  
Response Surface Methodology ◽  
Central Composite Design ◽  
Response Surface ◽  
Second Order ◽  
The Face ◽  
Central Composite Designs ◽  
Face Centered ◽  
Composite Designs ◽  
Central Composite ◽  
Exact Designs

The equiradial designs are studied as alternative second-order N-point spherical Response Surface Methodology designs in two variables, for design radius ρ = 1.0. These designs are seen comparable with the standard second-order response surface methodology designs, namely the Central Composite Designs. The D-efficiencies of the equiradial designs are evaluated with respect to the spherical Central Composite Designs. Furthermore, D-efficiencies of the equiradial designs are evaluated with respect to the D-optimal exact designs defined on the design regions of the Circumscribed Central Composite Design, the Inscribed Central Composite Design and the Face-centered Central Composite Design. The D-efficiency values reveal that the alternative second-order N-point spherical equiradial designs are better than the Inscribed Central Composite Design though inferior to the Circumscribed Central Composite Design with efficiency values less than 50% in all cases studied. Also, D-efficiency values reveal that the alternative second-order N-point spherical equiradial designs are better than the N-point D-optimal exact designs defined on the design region supported by the design points of the Inscribed Central Composite Design. However, the N-point spherical equiradial designs are inferior to the N-point D-optimal exact designs defined on the design region supported by the design points of the Circumscribed Central Composite Design and those of the Face-centered Central Composite Design, with worse cases with respect to the design region of the Circumscribed Central Composite Design.

Sign in / Sign up

Export Citation Format

Share Document