Alternatives to Difference Scores: Polynomial Regression and Response Surface Methodology

2003 ◽  
Author(s):  
Jeffrey R. Edwards
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Polynomial Regression ◽  
Difference Scores

scholarly journals Kinetic Modeling and Optimization of Immobilized Candida antarctica Lipase B Catalysed Synthesis of Butyl-4-Methyl-3-Oxopentanoate using Response Surface Methodology

2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Ganapati D. Yadav ◽  
Somnath Dattatray Shinde
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Polynomial Regression ◽  
Enzymatic Reaction ◽  
Candida Antarctica ◽  
Candida Antarctica Lipase B ◽  
Suitable Model ◽  
Candida Antarctica Lipase ◽  
Lipase B ◽  
Immobilized Candida Antarctica Lipase

Abstract Response surface methodology (RSM) was used to model and optimize the immobilized Candida antarctica lipase B catalysed synthesis of butyl-4-methyl-3-oxopentanoate. To determine optimum conditions of the transesterification, a four-factor and five-level central composite rotatable design (CCRD) was used. The factors studied were enzyme load (A), reaction temperature (B), methyl-4-methyl-3-oxopentanoate concentration (C) and n-butanol concentration (D). A quadratic polynomial regression model was used to analyze the experimental data at a 95% confidence level (p < 0.05). The results indicated that the RSM approach gave reasonable results for the optimization of the reaction parameters in the range of tested parameters. The optimal conditions for the enzymatic reaction were obtained at 0.01 mol of methyl-4-methyl-3-oxopentanoate and 0.03 mol of n-butanol using 104 mg of Novozym 435 at 55 °C and 300 rpm for 6 h. Under these conditions, the transesterification percentage was 87 %. Further, kinetic modelling of the enzymatic synthesis was illustrated. Initial rate data and progress curve data were used to arrive at a suitable model. The kinetics was found to obey the ternary complex ordered bi-bi model with inhibition by the substrate methyl-4-methyl-3-oxopentanoate. The values of kinetic parameters obtained from nonlinear regression analysis were found to be Vmax of 0.04 mol/L.min; Km(A) 0.11 mol/L; Km(B) 2 mol/L and Ki(A) 2.2 mol/L.

Polynomial Regression with Response Surface Analysis: A Powerful Approach for Examining Moderation and Overcoming Limitations of Difference Scores

2010 ◽  
Vol 25 (4) ◽  
pp. 543-554 ◽  
Author(s):  
Linda Rhoades Shanock ◽  
Benjamin E. Baran ◽  
William A. Gentry ◽  
Stacy Clever Pattison ◽  
Eric D. Heggestad
Keyword(s):  
Response Surface ◽  
Surface Analysis ◽  
Polynomial Regression ◽  
Response Surface Analysis ◽  
Difference Scores ◽  
Powerful Approach

Modeling of Dye-Free, Salt-Free Coloration in Wool Fabric Using Response Surface Methodology

2013 ◽  
Vol 746 ◽  
pp. 380-384 ◽  
Author(s):  
Hui Zi Fu ◽  
Yong Zhu Cui ◽  
Wang Xiao ◽  
Li Hua Lv
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Correlation Coefficient ◽  
Predictive Models ◽  
Polynomial Regression ◽  
Sulfuric Acid Concentration ◽  
Coefficient Of Determination ◽  
Wool Fabric ◽  
Excellent Performance ◽  
Simulation And Optimization

In the present work, dye-free, salt-free coloration in wool fabric was studied. Response surface methodology (RSM) was used to develop predictive models for simulation and optimization of the color index a*b*ΔE. The influence of the viriables (sulfuric acid concentration,dyeing time ,dyeing temperature and concentration of DMBA) were investigated with the help of MINITAB16 software. The modeling methodologies was statisticallyanalysed by the coefficient of determination (R2), Correlation Coefficient values and Correlation Coefficient values. Results indicated excellent performance of experimental data by polynomial regression model.Finally, the corresponding effects of the independent viariables were studied by the analysis of variance (ANOVA).

scholarly journals Study on optimal adsorption conditions of norfloxacin in water based on response surface methodology

2022 ◽  
Author(s):  
Ming Zhang ◽  
Kuo Zhang ◽  
Jinpeng Wang ◽  
Runjuan Zhou ◽  
Jiyuan Li ◽  
...  
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Reaction Temperature ◽  
Polynomial Regression ◽  
Single Factor ◽  
Solution Ph ◽  
Box Behnken Design ◽  
Simulated Wastewater ◽  
Predicted Values ◽  
Single Factor Experiment

Abstract The waste pomelo peel was pyrolyzed at 400 °C to prepare biochar and used as adsorbent to remove norfloxacin (NOR) from simulated wastewater. The adsorption conditions of norfloxacin by biochar were optimized by response surface methodology (RSM). On the basis of single-factor experiment, the adsorption conditions of biochar dosage, solution pH and reaction temperature were optimized by Box-Behnken Design (BBD), and the quadratic polynomial regression model of response value Y1 (NOR removal efficiency) and Y2 (NOR adsorption capacity) were obtained respectively. The results show that the two models are reasonable and reliable. The influence of single factor was as follows: solution pH &gt; biochar dosage &gt; reaction temperature. The interaction between biochar dosage and solution pH was very significant. The optimal adsorption conditions after optimization were as follows: biochar dosage = 0.5 g/L, solution pH = 3, and reaction temperature = 45 °C. The Y1 and Y2 obtained in the verification experiment were 75.68% and 3.0272 mg/g, respectively, which were only 2.38% and 0.0242 mg/g different from the theoretical predicted values of the model. Therefore, the theoretical model constructed by response surface methodology can be used to optimize the adsorption conditions of norfloxacin in water.

scholarly journals Combined Surfactant and Enzyme-Assisted Extraction of Pectin from Hawthorn (Crataegus monogyna Jacq.) Fruits

2022 ◽  
Vol 51 (4) ◽  
pp. 733-742
Author(s):  
Anastasia Novikova ◽  
Liubov Skrypnik
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Polynomial Regression ◽  
Polynomial Equation ◽  
Second Order ◽  
Wild Fruits ◽  
Assisted Extraction ◽  
Order Polynomial ◽  
Extraction Parameters ◽  
Enzyme Assisted Extraction

Introduction. Commercial pectin is usually obtained from apples or citrus fruits. However, some wild fruits, such as hawthorn, are also rich in pectin with valuable nutritional and medical properties. The research objective was to study and improve the process of combined surfactant and enzyme-assisted extraction of pectin from hawthorn fruits. Study objects and methods. The study involved a 1% solution of Polysorbate-20 surfactant and a mix of two enzymes, namely cellulase and xylanase, in a ratio of 4:1. The response surface methodology with the Box-Behnken experimental design improved the extraction parameters. The experiment featured three independent variables – temperature, time, and solvent-to-material ratio. They varied at three levels: 20, 40, and 60°C; 120, 180, and 240 min; 15, 30, and 45 mL per g. Their effect on the parameters on the pectin yield was assessed using a quadratic mathematical model based on a second order polynomial equation. Results and discussion. The response surface methodology made it possible to derive a second order polynomial regression equation that illustrated the effect of extraction parameters on the yield of polyphenols. The regression coefficient (R2 = 98.14%) and the lack-of-fit test (P > 0.05) showed a good accuracy of the model. The optimal extraction conditions were found as follows: temperature = 41°C, time = 160 min, solvent-to-material ratio = 32 mL per 1 g. Under the optimal conditions, the predicted pectin yield was 14.9%, while the experimental yield was 15.2 ± 0.4%. The content of galacturonic acid in the obtained pectin was 58.5%, while the degree of esterification was 51.5%. The hawthorn pectin demonstrated a good complex-building ability in relation to ions of copper (564 mg Cu2+/g), lead (254 mg Pb2+/g), and cobalt (120 mg Co2+/g). Conclusion. Combined surfactant and enzyme-assisted extraction made improved the extraction of pectin from hawthorn fruits. The hawthorn pectin can be used to develop new functional products.

scholarly journals Polynomial Regression and Response Surface Methodology: Theoretical Non-Linearity, Tutorial and Applications for Information Systems Research

2019 ◽  
Vol 23 ◽  
Author(s):  
Darshana Sedera ◽  
Maura Atapattu
Keyword(s):  
Response Surface Methodology ◽  
Information Systems ◽  
Response Surface ◽  
Polynomial Regression ◽  
Outcome Variable ◽  
Confirmation Theory ◽  
Systems Research ◽  
Information Systems Research ◽  
Theoretical Assumptions ◽  
Non Linear

Information systems (IS) studies regularly assume linearity of the variables and often disregard the potential non-linear theoretical interrelationships among the variables. The application of polynomial regression and response surface methodology can observe such non-linear theoretical assumptions among variables. This methodology enables to examine the extent to which two predictor variables relate to an outcome variable simultaneously. This paper utilizes the expectation confirmation theory as an example and provides a methodological commentary that illustrates a step-wise process for conducting a polynomial regression and response surface methodology.

scholarly journals Optimization of Pectate Lyase Production from Paenibacillus polymyxa N10 using Response Surface Methodology

2010 ◽  
Vol 3 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Molnapat Songpim ◽  
Pilanee Vaithanomsat ◽  
Sawitri Chuntranuluck
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Polynomial Regression ◽  
Pectate Lyase ◽  
Paenibacillus Polymyxa ◽  
Aeration Rate ◽  
Agitation Rate ◽  
Stirred Tank Bioreactor ◽  
Lyase Activity ◽  
Negative Effect

The parameters affecting the production of pectate lyase from P. polymyxa N10 were studied using the response surface methodology agitation rate (X1, 100-300 rpm), temperature (X2, 25-45 °C) and pH (X3, 5.5-9.5). The most significant factors influencing enzyme production were temperature and pH. The second order polynomial regression model obtained was fitted and found adequate, with an R2 of 0.9600 (p < 0.001). A maximum pectate lyase activity of 84.5 U/ml was attained in 72 h of cultivation at agitation rate 200 rpm, temperature 35 °C and pH 8. Optimizations of agitation rate and aeration on pectate lyase production were also carried out in a 5-l stirred-tank bioreactor. The aeration rate was varied in the range of 0.5-2 vvm at agitation rate of 200 rpm (temperature 35°C and initial pH 8). At agitation rate of 200 rpm, the shear force was high and then decreased the pectate lyase activity due to its negative effect on the enzyme structure. A maximum pectate lyase activity of 110.42 U/ml in the bioreactor was close to that obtained from the shake flask fermentation study.

Polynomial Regression and Response Surface Methodology in Leadership Research

2021 ◽  
Vol 2021 (1) ◽  
pp. 14262
Author(s):  
Chou-Yu Tsai ◽  
Jayoung Kim ◽  
FUHE JIN ◽  
Min Jong Jun ◽  
Minyoung Cheong
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Polynomial Regression ◽  
Leadership Research
Sign in / Sign up

Export Citation Format

Share Document