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Original Articles

A Bayesian Analysis of Unreplicated Two-Level Factorials Using Effects Sparsity, Hierarchy, and Heredity

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Pages 152-166 | Published online: 09 Mar 2011

REFERENCES

  • Berk , K. N. , Picard , R. R. ( 1991 ). Significance tests for saturated orthogonal arrays . Journal of Quality Technology , 23 ( 2 ): 79 – 89 .
  • Box , G. E. P. , Hunter , W. G. , Hunter , J. S. ( 1978 ). Statistics for Experimenters—An Introduction to Design, Data Analysis, and Model Building . New York : Wiley .
  • Box , G. E. P. , Meyer , R. D. ( 1986 ). An analysis of unreplicated fractional factorials . Technometrics , 28 ( 1 ): 11 – 18 .
  • Carter , C. W. Jr. , Doublié , S. , Coleman , D. E. ( 1994 ). Quantitative analysis of crystal growth—Tryptophanyl-tRNA syntease crystal polymorphism and its relationship to catalysis . Journal of Molecular Biology , 238 ( 3 ): 346 – 365 .
  • Cerutti , S. , Salonia , J. A. , Ferreira , S. L. C. , Olsina , R. A. , Martinez , L. D. ( 2004 ). Factorial design for multivariate optimization of an on-line preconcentration system for platinum determination by ultrasonic nebulization coupled to inductively coupled plasma optical emission spectroscopy . Talanta , 63 ( 4 ): 1077 – 1082 .
  • Chipman , H. ( 1996 ). Bayesian variable selection with related predictors . Canadian Journal of Statistics , 24 ( 1 ): 17 – 36 .
  • Chipman , H. , Hamada , M. , Wu , C. F. J. ( 1997 ). A Bayesian variable selection approach for analyzing designed experiments with complex aliasing . Technometrics , 39 ( 4 ): 372 – 381 .
  • Daniel , C. ( 1959 ). Use of half-normal plot in interpreting factorial two-level experiments . Technometrics , 1 ( 4 ): 311 – 341 .
  • Daniel , C. ( 1976 ). Applications of Statistics to Industrial Experimentation . New York : Wiley .
  • Dong , F. ( 1993 ). On the identification of active contrasts in unreplicated fractional factorials . Statistica Sinica , 3 : 209 – 217 .
  • Finney , D. J. ( 1945 ). The fractional replication of factorial arrangements . Annals of Eugenics , 12 : 291 – 301 .
  • Gelman , A. , Carlin , J. B. , Stern , H. S. , Rubin , D. B. ( 2004 ). Bayesian Data Analysis, , 2nd ed . Boca Raton , FL : Chapman & Hall/CRC .
  • George , E. I. , McCulloch , R. E. ( 1993 ). Variable selection via Gibbs sampling . Journal of the American Statistical Association , 88 ( 423 ): 881 – 889 .
  • Gürses , A. , Yalçin , M. , Doğar , C. ( 2002 ). Electrocoagulation of some reactive dyes: A statistical investigation of some electrochemical variables . Waste Management , 22 ( 5 ): 491 – 499 .
  • Haaland , P. D. , O'Connell , M. A. ( 1995 ). Inference for effect saturated fractional factorials . Technometrics , 37 ( 1 ): 82 – 93 .
  • Hamada , M. , Balakrishnan N. ( 1998 ). Analyzing unreplicated factorial experiments: A review with some new proposals (with comments by C. Benski, P. D. Haaland, and R. S. Lenth) . Statistica Sinica , 8 : 1 – 41 .
  • Hamada , M. , Wu , C. F. J. ( 1992 ). Analysis of designed experiments with complex aliasing . Journal of Quality Technology , 24 ( 3 ): 130 – 137 .
  • Laus , M. , Lelli , M. , Casagrande , A. ( 1997 ). Polyepichlorohydrine stabilized core shell microspheres by dispersion polymerization . Journal of Polymer Science Part A - Polymer Chemistry , 35 ( 4 ): 681 – 688 .
  • Le , N. D. , Zamar , R. H. ( 1992 ). A global test for effects in 2 k factorial design without replicates . Journal of Statistical Computational Simulation , 41 : 41 – 54 .
  • Lenth , R. V. ( 1989 ). Quick and easy analysis of unreplicated factorials . Technometrics , 31 ( 4 ): 469 – 473 .
  • Li , X. , Sudarsanam , N. , Frey , D. ( 2006 ). Regularities in data from factorial experiments . Complexity , 11 ( 5 ): 32 – 45 .
  • Lundquist , L. , Arpin , G. , Leterrier , Y. , Berthold , F. , Lindström , M. , Månson , J.-A. E. ( 2004 ). Alkali-methanol-anthraquinone pulping of Miscanthus × giganteus for thermoplastic composite reinforcement . Journal of Applied Polymer Science , 92 ( 4 ): 2132 – 2143 .
  • Montgomery , D. C. ( 2005 ). Design and Analysis of Experiments, , 6th ed. New York : Wiley .
  • Pedersen , W. , Ramulu , M. (2006). Facing SiCp/Mg metal matrix composites with carbide tools. Journal of Materials Processing Technology , 172(3):417–423.
  • Pei , Z. J. , Xin , X. J. , Liu , W. ( 2002 ). Finite element analysis for grinding of wire-sawn silicon wafers: A designed experiment . International Journal of Machine Tools & Manufacture , 43 ( 1 ): 7 – 16 .
  • Pignatiello , J. J. , Jr. , Ramberg , J. S. ( 1985 ). Discussion of Kackar's off-line quality control, parameter design and the Taguchi method . Journal of Quality Technology , 17 ( 4 ): 199 – 206 .
  • Poon , G. K. K. , Williams , D. J. ( 1999 ). Characterization of a solder paste printing process and its characterization . Soldering & Surface Mount Technology , 11 ( 3 ): 23 – 26 .
  • Reche , F. , Garrigós , M. C. , Sánchez , A. , Jeménez , A. ( 2000 ). Simultaneous supercritical fluid derivatization and extraction of formaldehyde by the Hantzsch reaction . Journal of Chromatography A , 896 ( 1–2 ): 51 – 59 .
  • Sandvik-Wiklund , P. , Bergman , B. ( 1999 ). Finding active factors from unreplicated fractional factorials using the total time on test (TTT) technique . Quality and Reliability Engineering International , 15 ( 3 ): 191 – 203 .
  • Saravanan , P. , Selvarajan , V. , Joshi , S. V. , Sundararajan , G. ( 2001 ). Experimental design and performance analysis of alumina coatings deposited by a detonation spray process . Journal of Physics D: Applied Physics , 34 : 131 – 140 .
  • Schneider , H. , Kasperski , W. J. , Weissfeld , L. ( 1993 ). Finding significant effects for unreplicated fractional factorials using the n smallest contrasts . Journal of Quality Technology , 25 ( 1 ): 18 – 27 .
  • Silva , C. J. S. M. , Gübitz , G. , Cavaco-Paulo , A. ( 2003 ). Optimization of a serine protease coupling to Eudragit S-100 by experimental design techniques . Journal of Chemical Technology and Biotechnology , 81 ( 1 ): 8 – 16 .
  • Smith , S. D. , Osborne , J. R. , Forde , M. C. ( 1995 ). Analysis of earth-moving systems using discrete-event simulation . Journal of Construction Engineering and Management , 121 ( 4 ): 388 – 396 .
  • Stephenson , W. R. , Hulting , F. L. , Moore , K. ( 1989 ). Posterior probabilities for identifying active effects in unreplicated experiments . Journal of Quality Technology , 21 ( 3 ): 202 – 212 .
  • Tan , B. L. , Tan , T. L. ( 2005 ). A study of Si/SiGe selective epitaxial growth by experimental design approach . Thin Solid Films , 504 ( 1–2 ): 95 – 100 .
  • Vanhatalo , E. , Bergquist , B. ( 2007 ). Special considerations when planning experiments in a continuous process . Quality Engineering , 19 ( 3 ): 155 – 167 .
  • Venter , J. H. , Steel , S. J. ( 1996 ). A hypothesis-testing approach toward identifying active contrasts . Technometrics , 38 ( 2 ): 304 – 313 .
  • Voss , D. T. ( 1988 ). Generalized modulus-ratio tests for analysis of fractional factorials with zero degrees of freedom for error . Communications in Statistics - Theory and Methods , 17 : 3345 – 3359 .

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