Orthogonal Arrays for Experiments with Lean Designs

References

• Atkinson, A. C. and Donev, A. N. (1996). Optimum Experimental Designs. Clarendon Press, Oxford, U.K.
   Google Scholar
• Box, G. E. P.; Hunter, W. G.; and Hunter, J. S. (1978). Statistics for Experiments – An Introduction to Design, Data Analysis, and Model Building. John Wiley, New York, NY.
   Google Scholar
• Chan, L. Y.; Fang, K. T.; and Mukerjee, R. (2001). “A Characterization for Orthogonal Arrays of Strength Two Via a Regression Model”. Statistics and Probability Letters 54, pp. 189–192.
   Web of Science ®Google Scholar
• Crosier, R. B. (2000). “Some New Two-Level Saturated Designs”. Journal of Quality Technology 32, pp. 103–110.
   Web of Science ®Google Scholar
• Dey, A. and Mukerjee, R. (1999). Fractional Factorial Plans. John Wiley, New York, NY.
   Google Scholar
• Fang, K. T.; Lin, D. K. J.; and Ma, C. X. (2000). “On the Construction of Multi-level Supersaturated Designs”. Journal of Statistical Planning and Inference 86, pp. 239–252.
   Web of Science ®Google Scholar
• Fang, K. T.; Lin, D. K. J.; Winker, P.; and Zhang, Y. (2000). “Uniform Design: Theory and Application”. Technometrics 42, pp. 237–248.
   Web of Science ®Google Scholar
• Fang, K. T. and Mukerjee, R. (2000). “A Connection Between Uniformity and Aberration in Regular Fractions of Two-level Factorials”. Biometrika 87, pp. 193–198.
   Web of Science ®Google Scholar
• Goh, T. N. (1993). “Taguchi Methods: Some Technical, Cultural and Pedagogical Perspectives”. Quality and Reliability Engineering International 9, pp. 185–202.
   Google Scholar
• Goh, T. N. (1996). “Economical Experimentation Via ‘Lean Design’”. Quality and Reliability Engineering International 12, pp. 383–388.
   Web of Science ®Google Scholar
• Hedayat, A. S.; Sloan, N. J. A.; and Stufken, J. (1999). Orthogonal Arrays-Theory and Applications. Springer, New York, NY.
   Google Scholar
• John, J. A. and Quenouille, M. H. (1977). Experiments: Design and Analysis. Charles Griffin, London.
   Google Scholar
• Kacker, R. N. (1985). “Off-line Quality Control, Parameter Design, and the Taguchi Method (with discussion)”. Journal of Quality Technology 17, pp. 176–209.
   Web of Science ®Google Scholar
• Kempthorne, O. (1973). The Design and Analysis of Experiments. Robert E. Krieger Publishing Company, Huntington, NY.
   Google Scholar
• Lin, D. K. J. (1993). “A New Class of Supersaturated Designs”. Technometrics 35, pp. 28–31.
   Web of Science ®Google Scholar
• Lin, D. K. J. (1995). “Generating Systematic Supersaturated Designs”. Technometrics 37, pp. 213–225.
   Web of Science ®Google Scholar
• Ma, C. X.; Fang, K. T.; and Erkki, L. (2000). “A New Approach in Constructing Orthogonal and Nearly Orthogonal Arrays”. Metrika 50, pp. 255–268.
   Web of Science ®Google Scholar
• Ma, C. X. and Fang, K. T. (2001). “A Note on Generalized Aberration in Factorial Designs”. Metrika 53, pp. 85–93.
   Web of Science ®Google Scholar
• Morrison, D. F. (1976). Multivariate Statistical Methods. McGraw-Hill, Tokyo, Japan
   Google Scholar
• Mukerjee, R.; Chan, L. Y.; and Fang, K. T. (2000). “Regular Fractions of Mixed Factorials with Maximum Estimation Capacity”. Statistica Sinica 10, pp. 1117–1132.
   Web of Science ®Google Scholar
• Plackett, R. L. and Burman, J. P. (1943–1946). “The Design of Optimum Multifactorial Experiments”. Biometrika 33, pp. 305–325.
   Google Scholar
• Rao, C. R. (1973). “Some Combinatorial Problems of Arrays and Applications to Design of Experiments”. A Survey of Combinatorial Theory edited by Srivastava, J.N. et al Chapter 29, pp. 349–359.
   Google Scholar
• Searle, S. R. (1982). Matrix Algebra Useful For Statistics. Wiley, New York, NY.
   Google Scholar
• Walpole, R. E.; Myers, R. H.; and Myers, S. L. (1998). Probability and Statistics for Engineers and Scientists. Prentice Hall, Englewood Cliffs, NJ.
   Google Scholar
• Winker, P. and Fang, K. T. (1997). “Application of Threshold Accepting to the Evaluation of the Discrepancy of a Set of Points”. SIAM Journal on Numerical Analysis 34, pp. 2028–2042.
   Web of Science ®Google Scholar
• Wu, C. F. J. (1993). Construction of Supersaturated Designs Through Partially Aliased Interactions, Biometrika 80, pp. 661–669.
   Web of Science ®Google Scholar