Optimal Central Composite Designs for Fitting Second Order Response Surface Linear Regression Models

2008 ◽  
pp. 323-339 ◽  
Author(s):  
Sung Hyun Park ◽  
Hyuk Joo Kim ◽  
Jae-Il Cho
Keyword(s):  
Linear Regression ◽  
Response Surface ◽  
Regression Models ◽  
Second Order ◽  
Linear Regression Models ◽  
Central Composite Designs ◽  
Composite Designs ◽  
Central Composite

scholarly journals Useful Numerical Statistics of Some Response Surface Methodology Designs

2016 ◽  
Vol 8 (4) ◽  
pp. 40
Author(s):  
Iwundu M. P.
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Optimality Criteria ◽  
Second Order ◽  
First Order ◽  
Central Composite Designs ◽  
Alphabetic Optimality ◽  
Main Effects ◽  
Composite Designs ◽  
Central Composite

<p>Useful numerical evaluations associated with three categories of Response Surface Methodology designs are presented with respect to five commonly encountered alphabetic optimality criteria. The first-order Plackett-Burman designs and the  Factorial designs are examined for the main effects models and the complete first-order models respectively. The second-order Central Composite Designs are examined for second-order models. The A-, D-, E-, G- and T-optimality criteria are employed as commonly encountered optimality criteria summarizing how good the experimental designs are. Relationships among the optimality criteria are pointed out with regards to the designs and the models. Generally the designs do not show uniform preferences in terms of the considered optimality criteria. However, one interesting finding is that central composite designs defined on cubes and hypercubes with unit axial distances are uniformly preferred in terms of E-optimality and G-optimality criteria.</p>

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.

Research Note: Modified Orthogonal Central-Composite Designs

1976 ◽  
Vol 18 (1) ◽  
pp. 95-98 ◽  
Author(s):  
Robert C. Williges
Keyword(s):  
Central Composite Design ◽  
Second Order ◽  
Research Note ◽  
Design Parameters ◽  
Orthogonal Designs ◽  
Central Composite Designs ◽  
Data Points ◽  
Composite Designs ◽  
Central Composite

Simplified formulae for determining the coded value of α are presentedfor rotatable, blocked orthogonal second–order designs in which all data points are replicated an equal number of times. These three central–composite design parameters are compared, and the advantages and limitations of orthogonal designs are presented.

scholarly journals Removal of Hg2+ with Polypyrrole-Functionalized Fe3O4/Kaolin: Synthesis, Performance and Optimization with Response Surface Methodology

Nanomaterials ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 1370
Author(s):  
Zhenfeng Lin ◽  
Ziwei Pan ◽  
Yuhao Zhao ◽  
Lin Qian ◽  
Jingtao Shen ◽  
...  
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Adsorption Process ◽  
Low Cost ◽  
Solution Ph ◽  
Central Composite Designs ◽  
Pseudo Second Order ◽  
Composite Designs ◽  
Central Composite ◽  
Relevant Factors

PPy-Fe3O4/Kaolin was prepared with polypyrrole functionalized magnetic Kaolin by a simple, green, and low cost method to improve the agglomeration and low adsorption capacity of Kaolin. PPy-Fe3O4/Kaolin was employed to remove Hg2+ and the results were characterized by various methods. Relevant factors, including solution pH, dosage of adsorbent, concentration (C0), and temperature (T), were optimized by Response Surface Methodology (RSM) and Central Composite Designs (CCD). The optimal results show that the importance for adsorption factors is pH > T > C0 > dosage, and the optimal adsorption conditions of PPy-Fe3O4/Kaolin are pH = 7.2, T = 315 K, C0 = 50 mg/L, dosage of 0.05 g/L, and the capacity is 317.1 mg/g. The adsorption process conforms to the pseudo-second-order and Langmuir models. Dubinin–Radushkevich model shows that adsorption process is spontaneous and endothermic. Moreover, the adsorption of mercury by PPy-Fe3O4/Kaolin was achieved mainly through electrostatic attraction, pore diffusion, and chelation between amino functional groups and Hg2+. PPy-Fe3O4/Kaolin has excellent reproducibility, dispersity, and chemical stability, and it is easy to be separated from solution through an external magnetic field. The experiments show that PPy-Fe3O4/Kaolin is an efficient and economical adsorbent towards mercury.

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