Confidence Regions Around the Ridge of Optimal Response on Fitted Second-Order Response Surfaces

Technometrics ◽  
2003 ◽  
Vol 45 (4) ◽  
pp. 333-339 ◽  
Author(s):  
Steven G Gilmour ◽  
Norman R Draper
Keyword(s):  
Confidence Regions ◽  
Response Surfaces ◽  
Second Order ◽  
Optimal Response

Assessing Physostigmine Efficacy by Response Surface Modeling: A Comparison to Pyridostigmine Efficacy

1988 ◽  
Vol 7 (7) ◽  
pp. 1013-1030 ◽  
Author(s):  
C. Gennings ◽  
R. A. Carchman ◽  
W. H. Carter ◽  
E. D. Campbell ◽  
R. M. Boyle ◽  
...  
Keyword(s):  
Response Surface ◽  
Confidence Regions ◽  
Atropine Sulfate ◽  
Response Surfaces ◽  
Slope Parameter ◽  
Treatment Combination ◽  
Probability Of Survival ◽  
Point Estimates ◽  
Dose Combination ◽  
Pralidoxime Chloride

The therapeutic efficacy of atropine sulfate/pralidoxime chloride (ATR/2-PAM) treatment therapy and physostigmine (PHY) pretreatment therapy was evaluated in soman-challenged guinea pigs. Response surface analysis (RSM) of treatment efficacy indicated that the optimal ATR/2-PAM dose combination varied as a function of both the soman (GD) challenge level and the PHY pretreatment dose. Efficacy was, therefore, evaluated for varying PHY pretreatment doses in combination with the appropriate optimal ATR/2-PAM treatment (as determined by RSM for each soman challenge dose and PHY dose evaluated). The response surfaces depicting the effects (i.e., probability of survival) of ATR/2-PAM combinations at fixed levels of PHY and GD are presented, and confidence regions and point estimates for optimal ATR/2-PAM treatment combination are included. It was estimated that with optimal therapy a protective ratio (PR) of 6 can be observed. Comparisons were made between the use of PHY/ATR/2-PAM as presented here and the use of PYR/ATR/2-PAM, as discussed by Jones et al.(1) Both studies showed a strong positive (r ≥ 0.98) relationship between dose and the PR. However, the estimated slope parameter for PHY was significantly larger ( P < 0.001) than the slope parameter for pyridostigmine (PYR). This difference in slopes may indicate different mechanisms of action for PYR and PHY.

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%.

A General Approach to Confidence Regions for Optimal Factor Levels of Response Surfaces

Biometrics ◽  
2002 ◽  
Vol 58 (2) ◽  
pp. 422-431 ◽  
Author(s):  
John J. Peterson ◽  
Suntara Cahya ◽  
Enrique Castillo
Keyword(s):  
Confidence Regions ◽  
Response Surfaces
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