Making Tradeoffs in Designing Scientific Experiments: A Case Study with Multi-Level Factors

REFERENCES

• Barton , R. R. ( 1997 ). Pre-experiment planning for designed experiments: Graphical methods . Journal of Quality Technology , 29 : 307 – 316 .
   Web of Science ®Google Scholar
• Barton , R. R. ( 1998 ). Design-plots for factorial and fractional-factorial designs . Journal of Quality Technology , 30 : 40 – 54 .
   Google Scholar
• Bingham , T. C. ( 1997 ). An approach to developing multi-level fractional factorial designs . Journal of Quality Technology , 29 : 370 – 380 .
   Google Scholar
• Box , G. , Bisgaard , S. ( 1987 ). The scientific context of quality improvement . Quality Progress , 20 : 54 – 61 .
   Google Scholar
• Box , G. E. P. , Hunter , W. G. , Hunter , J. S. ( 1978 ). Statistics for Experimenters . New York : John Wiley & Sons, Inc .
   Google Scholar
• Coleman , D. E. , Montgomery , D. C. ( 1993 ). A systematic approach to planning for a designed industrial experiment (with discussion) . Technometrics , 35 : 1 – 27 .
   Web of Science ®Google Scholar
• Conner , W. S. , Young , S. ( 1961 ). Fractional Factorial Designs for Experiments with Factors at Two and Three Levels . National Bureau of Standards Applied Mathematics Series 58 .
   Google Scholar
• Conner , W. S. , Zelen , M. ( 1959 ). Fractional Factorial Experiment Designs for Factors at Three Levels . National Bureau of Standards Applied Mathematics Series 54 .
   Google Scholar
• Hahn , G. J. ( 1977 ). Some things engineers should know about experimental design . Journal of Quality Technology , 9 : 13 – 20 .
   Google Scholar
• Hahn , G. J. ( 1984 ). Experimental design in the complex world . Technometrics , 26 : 19 – 31 .
   Web of Science ®Google Scholar
• Hedayat , A. S. , Sloane , N. J. A. , Stufken , J. ( 1999 ). Orthogonal Arrays Theory and Applications . New York : Springer-Verlag .
   Google Scholar
• Liao , C. T. , Iyer , H. K. ( 1998 ). Orthogonal parallel-flats designs for mixed factorial experiments . Journal of Statistical Planning and Inference , 69 : 175 – 191 .
   Web of Science ®Google Scholar
• Montgomery , D. C. ( 2005 ). Design and Analysis of Experiments, , 6th ed. New York : John Wiley & Sons .
   Google Scholar
• Nguyen , N. K. ( 1996 ). A note on the construction of near-orthogonal arrays with mixed levels and economic run size . Technometrics , 38 : 279 – 283 .
   Web of Science ®Google Scholar
• Statistical Engineering Laboratory . ( 1957 ). Fractional Factorial Experiment Designs for Factors at Two Level . National Bureau of Standards Applied Mathematics Series 48 .
   Google Scholar
• Wang , J. C. , Wu , C. F. J. ( 1991 ). An approach to the construction of asymmetrical orthogonal arrays . Journal of the American Statistical Association , 86 : 450 – 456 .
   Web of Science ®Google Scholar
• Taguchi , G. ( 1986 ). Introduction to Quality Engineering Designing Quality into Products and Processes . Tokyo : Asian Productivity Organization .
   Google Scholar
• Wang , J. C. , Wu , C. F. J. ( 1992 ). Nearly orthogonal arrays with mixed levels and small runs . Technometrics , 34 : 409 – 422 .
   Web of Science ®Google Scholar
• Wu , C. F. J. , Hamada , M. ( 2000 ). Experiments: Planning, Analysis, and Parameter Design Optimization . New York : John Wiley & Sons .
   Google Scholar
• Wu , D. F. J. , Zhang , R. C. ( 1993 ). Minimum aberration designs with 2-level and 4-level factors . Biometrika , 80 : 203 – 209 .
   Web of Science ®Google Scholar