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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 40, 2008 - Issue 2
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Articles

A Class of Partially Replicated Two Level Fractional Factorial Designs

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Pages 184-193 | Published online: 21 Nov 2017

References

  • Bates, R. A.; Buck, R. J.; Riccomagno, E.; and Wynn, H. P. (1996). “Experimental Design and Observation for Large Systems”. Journal of Royal Statistical Society, Serries B 58, pp. 77–94.
  • Box, G. E. P. and Hunter, J. S. (1961). “The 2k–p Fractional Factorial Designs”. Technometrics 3, pp. 311–351.
  • Box, G. E. P.; Hunter, W. G.; and Hunter, J. S. (1978). Statistics for Experimenters. Wiley, New York, NY.
  • Daniel, C. (1959). “Use of Half-Normal Plots in Interpreting Two-Level Factorial Experiments”. Technometrics 1, pp. 311–341.
  • Deng, L. Y. and Tang, B. (1999). “Generalized Resolution and Minimum Aberration Criteria for Plackett–Burman and Other Nonregular Factorial Designs”. Statistica Sinica 9, pp. 1071–1082.
  • Dykstra, O., Jr. (1959). “Partial Duplication of Factorial Experiments”. Technometrics 1, pp. 63–75.
  • Fries, A. and Hunter, W. G. (1980). “Minimum Aberration 2k–p Designs”. Technometrics 22, pp. 601–608.
  • Hedayat, A.; Raktoe, B. L.; and Federer, W. T. (1974). “On a Measure of Aliasing Due to Fitting an Incomplete Model”. The Annals of Statistics 2, pp. 650–660.
  • Hickernell, F. J. (1998). “A Generalized Discrepancy and Quadrature Error Bound”. Math. Comp. 67, pp. 299–322.
  • Li, W.; Lin, D. K. J.; and Ye, K. Q. (2003). “Optimal Foldover Plans for Two-Level Nonregular Orthogonal Designs”. Technometrics 45, pp. 347–351.
  • Ma, C. X. and Fang, K. T. (2001). “A Note on Generalized Aberration in Factorial Designs”. Metrika 53, pp. 85–93.
  • Ma, C. X.; Fang, K. T. and Lin, D. K. J. (2001). “A Note on Uniformity and Orthogonality”. Journal of Statistical Planning and Inference 113, pp. 323–334.
  • Pigeon, J. P. and McAllister, P. R. (1989). “A Note on Partially Replicated Orthogonal Main-Effects Plans”. Technometrics 31, pp. 249–251.
  • Plackett, R. L. and Burman, J. P. (1946). “The Design of Optimum Multifactorial Experiments”. Biometrika 33, pp. 305–325.
  • Tang, B. and Deng, L. Y. (1999). “Minimum G2-Aberration for Nonregular Fractional Factorial Designs”. The Annals of Statistics 27, pp. 1914–1926.
  • Youden, W. J. and Hunter, J. S. (1955). “Partially Replicated Latin Squares”. Biometrics 11, pp. 399–405.
  • Zahn, D. A. (1975). “Modifications of and Revised Critical Values for the Half-Normal Plot”. Technometrics 17, pp. 189–200.

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