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Review Articles

Experimental Design Step by Step: A Practical Guide for Beginners

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Pages 1015-1028 | Published online: 01 Dec 2020

References

  • Fisher, R. A. The Design of Experiments; Haffner Press: New York, 1935.
  • Lundstedt, T.; Seifert, E.; Abramo, L.; Thelin, B.; Nystrom, A.; Pettersen, J.; Bergman, R. Experimental Design and Optimization. Chemom. Intell. Lab. Syst. 1998, 42, 3–40.
  • Leardi, R. Experimental Design. In Chemometrics in Food Chemistry; Marini, F. (Ed.); Elsevier: Amsterdam, 2013; Vol. 28, pp 9–53. 10.1016/B978-0-444-59528-7.00002-8.
  • Cafaggi, S.; Leardi, R.; Parodi, B.; Caviglioli, G.; Bignardi, G. An Example of Application of a Mixture Design with Constraints to a Pharmaceutical Formulation. Chemom. Intell. Lab. Syst. 2003, 65, 139–147. 10.1016/S0169-7439(02)00045-X.
  • Lorenz, J. G.; Costa, L. L. F.; Suchara, E. A.; Sant’Anna, E. S. Multivariate Optimization of the QuEChERS-GC-ECD Method and Pesticide Investigation Residues in Apples, Strawberries, and Tomatoes Produced in Brazilian South. J. Braz. Chem. Soc. 2014, 25, 1583–1591. DOI: 10.5935/0103-5053.20140143.
  • Benedetti, B.; Magi, E.; Di Carro, M. The Experimental Design Approach to the Optimization of a Simple Quick Easy Cheap Effective Rugged and Safe Method for the Analysis of Phytoestrogens in Complex Soy‐Based Food. J. Sep. Sci. 2019, 42, 3225–3233. 10.1002/jssc.201900462.
  • Zhou, J.; Xu, J. J.; Cong, J. M.; Cai, Z. X.; Zhang, J. S.; Wang, J. L.; Ren, Y. P. Optimization for Quick, Easy, Cheap, Effective, Rugged and Safe Extraction of Mycotoxins and Veterinary Drugs by Response Surface Methodology for Application to Egg and Milk. J. Chromatogr. A 2018, 1532, 20–29. 10.1016/j.chroma.2017.11.050.
  • Dejaegher, B.; Vander Heyden, Y. Experimental Designs and Their Recent Advances in Set-up, Data Interpretation, and Analytical Applications. J. Pharm. Biomed. Anal. 2011, 56, 141–158. DOI: 10.1016/j.jpba.2011.04.023.
  • Gottipati, R.; Mishra, S. Process Optimization of Adsorption of Cr(VI) on Activated Carbons Prepared from Plant Precursors by a Two-Level Full Factorial Design. Chem. Eng. J. 2010, 160, 99–107. 10.1016/J.CEJ.2010.03.015.
  • Leardi, R. Experimental Design in Chemistry: A Tutorial. Anal. Chim. Acta. 2009, 652, 161–172. 10.1016/j.aca.2009.06.015.
  • Eriksson, L.; Johansson, E.; Kettaneh-Wold, N.; Wikström, C.; Wold, S. Design of Experiments- Principles and Applications; Umetrics Academy: Umea, Sweden, 2000.
  • Leardi, R.; Melzi, C.; Polotti, G. CAT (Chemometric Agile Tool). 2019. http://gruppochemiometria.it/index.php/software.
  • Carlson, R.; Carlson, J. E. The Study of Experimental Factors. In Comprehensive Chemometrics; Brown, S. D., Tauler, R., Walczak, B., Eds.; Elsevier: Amsterdam, 2009; Vol. 1, pp 301–34410.1016/B978-044452701-1.00082-X.
  • Plackett, R. L.; Burman, J. P. The Design of Optimum Multifactorial Experiments. Biometrika Trust 1946, 33, 305–325.
  • Analytical Methods Commitee. Experimental Design and Optimisation (4): Plackett-Burman Designs. Anal. Methods AMC Techni. 2013, AMCTB No 55, 1-3, DOI: 10.1039/c3ay90020g.
  • Ahuja, S. K.; Ferreira, G. M.; Moreira, A. R. Application of Plackett-Burman Design and Response Surface Methodology to Achieve Exponential Growth for Aggregated Shipworm Bacterium. Biotechnol. Bioeng. 2004, 85, 666–675. DOI: 10.1002/bit.10880.
  • Sarabia, L. A.; Ortiz, M. C. Response Surface Methodology. In Comprehensive Chemometrics; Elsevier: Amsterdam, 2009.
  • Brereton, R. G. Chemometrics: Data Analysis for the Laboratory and Chemical Plant; John Wiley & Sons, Ltd: Chichester, UK, 2003. DOI: 10.1002/0470863242.fmatter.
  • Bezerra, M. A.; Santelli, R. E.; Oliveira, E. P.; Villar, L. S.; Escaleira, L. A. Response Surface Methodology (RSM) as a Tool for Optimization in Analytical Chemistry. Talanta 2008, 76, 965–977. DOI: 10.1016/j.talanta.2008.05.019.
  • Vera Candioti, L.; De Zan, M. M.; Cámara, M. S.; Goicoechea, H. C. Experimental Design and Multiple Response Optimization. Using the Desirability Function in Analytical Methods Development. Talanta 2014, 124, 123–138. DOI: 10.1016/j.talanta.2014.01.034.
  • Hibbert, D. B. Experimental Design in Chromatography: A Tutorial Review. J. Chromatogr. B Analyt. Technol. Biomed. Life Sci. 2012, 910, 2–13. DOI: 10.1016/j.jchromb.2012.01.020.
  • Box, G. E. P.; Behnken, D. W. Some New Three Level Designs for the Study of Quantitative Variables. Technometrics 1960, 2, 455–475.
  • Ferreira, S. L. C.; Bruns, R. E.; Ferreira, H. S.; Matos, G. D.; David, J. M.; Brandão, G. C.; da Silva, E. G. P.; Portugal, L. A.; dos Reis, P. S.; Souza, A. S.; et al. Box-Behnken Design: An Alternative for the Optimization of Analytical Methods. Anal. Chim. Acta. 2007, 597, 179–186. DOI: 10.1016/j.aca.2007.07.011.
  • Doehlert, D. H. Uniform Shell Designs. J. R. Stat. Soc. 1970, 19, 231–239.
  • Atkinson, A. C.; Tobias, R. D. Optimal Experimental Design in Chromatography. J. Chromatogr. A. 2008, 1177, 1–11. 10.1016/j.chroma.2007.11.045.
  • Leardi, R. D-Optimal Designs. In Encyclopedia of Analytical Chemistry; John Wiley & Sons, Ltd: Chichester, UK, 2018; pp 1–11. DOI: 10.1002/9780470027318.a9646.
  • Bas, D.; Boyaci, I. H. Modeling and Optimization i: Usability of Response Surface Methodology. J. Food Eng 2007, 78, 836–845. DOI: 10.1016/j.jfoodeng.2005.11.024.
  • Martens, H. Reliable and Relevant Modelling of Real World Data: A Personal account of the Development of PLS Regression. In Chemometrics and Intelligent Laboratory Systems 2001, 58, 85–95. 10.1016/S0169-7439(01)00153-8.
  • Bro, R.; Smilde, A. K. Principal Component Analysis. Anal. Methods 2014, 6, 2812–2831. 10.1039/C3AY41907J.
  • Jolliffe, I. T.; Cadima, J. Principal Component Analysis: A Review and Recent Developments. Philos. Trans. A 2016, 374, 1–16. DOI: 10.1098/rsta.2015.0202.
  • Benedetti, B.; Di Carro, M.; Magi, E. Multivariate Optimization of an Extraction Procedure Based on Magnetic Molecular Imprinted Polymer for the Determination of Polycyclic Aromatic Hydrocarbons in Sea Water. Microchem. J. 2019, 145, 1199–1206. 10.1016/j.microc.2018.12.048.
  • Derringer, G.; Suich, R. Simultaneous Optimization of Several Response Variables. J. Qual. Technol. 1980, 12, 214–219. 10.1080/00224065.1980.11980968.
  • Sánchez, M. S.; Ortiz, M. C.; Sarabia, L. A.; Lletí, R. On Pareto-Optimal Fronts for Deciding about Sensitivity and Specificity in Class-Modelling Problems. Anal. Chim. Acta. 2005, 544, 236–245. 10.1016/J.ACA.2004.12.084.
  • Ortiz, M. C.; Sarabia, L. A.; Sánchez, M. S.; Arroyo, D. Improving the Visualization of the Pareto-Optimal Front for the Multi-Response Optimization of Chromatographic Determinations. Anal. Chim. Acta. 2011, 687, 129–136. DOI: 10.1016/j.aca.2010.12.023.

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