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Statistical Practice

A New Analysis Strategy for Designs With Complex Aliasing

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Pages 274-281 | Received 04 Mar 2016, Accepted 26 Jan 2019, Published online: 25 Jun 2019

References

  • Candes, E., and Tao, T. (2007), “The Dantzig Selector: Statistical Estimation When p Is Much Larger Than n,” The Annals of Statistics, 35, 2313–2351. DOI: 10.1214/009053606000001523.
  • Chipman, H. (1996), “Bayesian Variable Selection With Related Predictors,” Canadian Journal of Statistics, 24, 17–36. DOI: 10.2307/3315687.
  • Chipman, H., Hamada, M., and Wu, C. F. J. (1997), “A Bayesian Variable-Selection Approach for Analyzing Designed Experiments With Complex Aliasing,” Technometrics, 39, 372–381. DOI: 10.1080/00401706.1997.10485156.
  • Grimshaw, S. D., Collings, B. J., Larsen, W. A., and Hurt, C. R. (2001), “Eliciting Factor Importance in a Designed Experiment,” Technometrics, 43, 133–146. DOI: 10.1198/004017001750386251.
  • Hamada, M., and Wu, C. F. J. (1992), “Analysis of Designed Experiments With Complex Aliasing,” Journal of Quality Technology, 24, 130–137. DOI: 10.1080/00224065.1992.11979383.
  • Hedayat, A. S., Sloane, N. J. A., and Stufken, J. (1999), Orthogonal Arrays: Theory and Applications, Springer Texts in Statistics, New York: Springer.
  • Hunter, G. B., Hodi, F. S., and Eager, T. W. (1982), “High-Cycle Fatigue of Weld Repaired Cast Ti-6Al-4V,” Metallurgical Transactions, 13A, 1589–1594. DOI: 10.1007/BF02644799.
  • Kraemer, N., and Schaefer, J. (2015), “Regularized Estimation of Partial Correlation Matrices,” available at https://cran.r-project.org/web/packages/parcor/parcor.pdf.
  • Kraemer, N., Schaefer, J., and Boulesteix, A.-L. (2009), “Regularized Estimation of Large-Scale Gene Regulatory Networks With Gaussian Graphical Models,” BMC Bioinformatics, 10, 384, available at http://www.biomedcentral.com/1471-2105/10/384. DOI: 10.1186/1471-2105-10-384.
  • Li X., Sudarsanam, N., and Frey, D. D. (2006), “Regularities in Data From Factorial Experiments,” Complexity, 11, 32–45. DOI: 10.1002/cplx.20123.
  • Miller, A., and Sitter, R. R. (2001), “Using the Folded-Over 12-Run Plackett-Burman Design to Consider Interactions,” Technometrics, 43, 44–55. DOI: 10.1198/00401700152404318.
  • Phoa, F. K. H., Pan, Y., and Xu, H. (2009), “Analysis of Supersaturated Designs via the Dantzig Selector,” Journal of Statistical Planning and Inference, 139, 2362–2372. DOI: 10.1016/j.jspi.2008.10.023.
  • Plackett, R. L., and Burman, J. P. (1946), “The Design of Optimum Multifactorial Experiments,” Biometrika, 33, 305–325. DOI: 10.1093/biomet/33.4.305.
  • Tibshirani, R. (1996), “Regression Shrinkage and Selection via the Lasso,” Journal of the Royal Statistical Society, Series B, 58, 267–288. DOI: 10.1111/j.2517-6161.1996.tb02080.x.
  • Wu, C. F., and Hamada, M. (2009), Experiments: Planning, Analysis, and Optimization (2nd ed.), New York: Wiley.
  • Xu, H., Jaynes, J., and Ding, X. (2014), “Combining Two-Level and Three-Level Orthogonal Arrays for Factor Screening and Response Surface Exploration,” Statistica Sinica, 24, 269–289. DOI: 10.5705/ss.2012.210.
  • Xu, H., Phoa, F. K. H., and Wong, W. K. (2009), “Recent Developments in Nonregular Fractional Factorial Designs,” Statistics Surveys, 3, 269–289. DOI: 10.1214/08-SS040.
  • Yuan, C. G. (1998), “The Optimization of Mechanical Properties of Si3N4 Ceramics Using Experimental Designs,” unpublished Ph.D. dissertation, Department of Materials Science and Engineering, University of Michigan.
  • Yuan, M., Joseph, V. R., and Lin, Y. (2007), “An Efficient Variable Selection Approach for Analyzing Designed Experiments,” Technometrics, 49, 430–439. DOI: 10.1198/004017007000000173.
  • Yuan, M., Joseph, V. R., and Zou, H. (2009), “Structured Variable Selection and Estimation,” The Annals of Applied Statistics, 3, 1738–1757. DOI: 10.1214/09-AOAS254.
  • Zou, H. (2006), “The Adaptive Lasso and Its Oracle Properties,” Journal of the American Statistical Association, 101, 1418–1429. DOI: 10.1198/016214506000000735.

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