Some new three-level second-order response surface designs

2017 ◽  
Vol 12 (1) ◽  
pp. 55-61
Author(s):  
Archana Verma ◽  
Mithilesh Kumar Jha
Keyword(s):  
Response Surface ◽  
Second Order ◽  
Response Surface Designs

Second-order response surface designs in computer simulation

SIMULATION ◽  
1975 ◽  
Vol 25 (6) ◽  
pp. 169-178 ◽  
Author(s):  
Douglas C. Montgomery ◽  
Daniel M. Evans
Keyword(s):  
Computer Simulation ◽  
Response Surface ◽  
Second Order ◽  
Response Surface Designs

scholarly journals Measure of Slope Rotatability for Second Order Response Surface Designs under Intra-class Correlated Structure of Errors Using Pairwise Balanced Designs

2020 ◽  
pp. 13-32
Author(s):  
Sulochana Beeraka ◽  
Victorbabu B. Re
Keyword(s):  
Response Surface ◽  
Second Order ◽  
Pairwise Balanced Designs ◽  
Balanced Designs ◽  
Response Surface Designs

In this paper, measure of slope rotatability for second order response surface designs using pairwise balanced designs under intra-class correlated structure of errors is suggested and illustrated with examples.

scholarly journals Second Order Slope Rotatable Designs under Tri-diagonal Correlation Structure of Errors Using a Pair of Incomplete Block Designs

2020 ◽  
pp. 1-11
Author(s):  
B. Sulochana ◽  
B. Re. Victorbabu
Keyword(s):  
Response Surface ◽  
Design Criterion ◽  
Second Order ◽  
Correlation Structure ◽  
Block Designs ◽  
Response Surface Design ◽  
Surface Design ◽  
Response Surface Designs ◽  
Block Sizes ◽  
Important Design

Box and Hunter [1] introduced the concept of rotatability for response surface designs. The concept of slope-rotatability was introduced by Hader and Park [2] as an analogous to rotatability property, which is an important design criterion for response surface design. Slope-rotatable design is that of which the variance of partial derivative is a function of distance from the design (d). Recently, a few measures of slope-rotatability for a given response surface design was introduced. In this paper, a new method of slope rotatability for second order response surface designs under tri-diagonal correlation structure of errors using a pair of symmetrical unequal block arrangements with two unequal block sizes is studied. Further, a study on the dependence of variance function of the second order response surface at different design points for different values of tri-diagonal correlation coefficient ρ which lies between -0.9 to 0.9 and the distance from centre (d) is suggested.

scholarly journals Asymmetrical response surface designs in the presence of neighbour effects

2020 ◽  
Vol 35 (1-2) ◽  
Author(s):  
Arpan Bhowmik ◽  
Ankita Verma ◽  
Seema Jaggi ◽  
Cini Varghese ◽  
Anindita Datta ◽  
...  
Keyword(s):  
Response Surface ◽  
Second Order ◽  
Response Model ◽  
General Methodology ◽  
Neighbour Effects ◽  
Response Surface Designs

In this article, we have discussed a general methodology for constructing Asymmetrical Response Surface Designs in the presence of Neighbour Effects. Methodology of form 2n´3 has been derived. Conditions have been derived for the near orthogonal estimation of coefficients of response model. Further, conditions for rotatability under these models have also been obtained. A method of constructing asymmetrical response surface designs i.e.2n´3 for fitting second order response surface in the presence of neighbour effects has been developed.

scholarly journals Response Surface Designs Robust against Nuisance Factors

2021 ◽  
Author(s):  
Nam-Ky Nguyen ◽  
Mai Phuong Vuong ◽  
Tung-Dinh Pham
Keyword(s):  
Response Surface ◽  
Time Trend ◽  
Second Order ◽  
Order Effects ◽  
Algorithmic Approach ◽  
Response Surface Designs ◽  
Blocking Factors ◽  
Second Order Effects ◽  
Factor Interactions ◽  
Main Effects

This paper discusses an algorithmic approach to constructing trend-free and orthogonally-blocked response surface designs. The constructed designs have the main effects, 2-factor interactions and second-order effects being orthogonal or near-orthogonal to the nuisance factors such as the time-trend or the blocking factors. The paper also provides a catalogue of (near-) trend-free Box–Behnkens designs and orthogonally blocked Box–Behnkens designs arranged in rows and columns.

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