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Original Articles

Proposal of a Single Critical Value for the Lenth Method

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Pages 41-51 | Received 01 Sep 2013, Accepted 01 Feb 2014, Published online: 09 Feb 2016

References

  • Bergquist. B., Vanhatalo, E. and Nordenvaad, M. L. (2011). A Bayesian analysis of unreplicated two-level factorials using effects sparsity, hierarchy, and heredity. Quality Engineering, 23, 152–166.
  • Box, G. E. P. (1992). Teaching Engineers Experimental Design with a Paper Helicopter. Quality Engineering, 4(3), 453–45.
  • Box, G. E. P., Hunter, J. S. and Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery, 2nd edition. Wiley-Interscience, Hoboken, New Jersey.
  • Costa, N. and Lopes Pereira, Z. (2007). Decision-making in the analysis of unreplicated factorial designs. Quality Engineering, 19, 215–225.
  • De Veaux, R., Velleman, P. F. and Bock, D. E. (2012). Intro Stats, 3rd edition. Addison-Wesley, Boston.
  • Daniel, C. (1959). Use of half-normal plots in interpreting factorial two-level experiments, Technometrics, 1(4), 311–341.
  • Daniel, C. (1976). Applications of statistics to industrial experimentation, Wiley, New York.
  • De Leon G., Grima, P. and Tort-Martorell, X. (2006). Selecting significant effects in factorial designs taking type II errors into account. Quality and Reliability Engineering International, 22(7), 803–810.
  • De Leon, G., Grima, P. and Tort-Martorell, X. (2011). Comparison of normal probability plots and dot plots in judging the significance of effects in two level factorial designs. Journal of Applied Statistics, 38(1), 161–174.
  • Dong, F. (1993). On the identification of active contrasts in unreplicated fractional factorials. Statistica Sinica, 3, 209–217.
  • Edwards, D. J. and Mee, R.W. (2008). Empirically determined p-values for Lenth t-statistics. Journal of Quality Technology, 40(4), 368–380.
  • Haaland, P. D. and O’Connell, M. A. (1995). Inference for effect-saturated fractional factorials. Technometrics, 37(1), 82–93.
  • Hamada, M. and Balakrishnan, N. (1998). Analyzing unreplicated factorial experiments: a review with some new proposals. Statistica Sinica, 8, 1–41.
  • Juan, J. and Pena, D. (1992). A simple method to identify significant effects in unreplicated two-level factorial designs. Communications in Statistics-Theory and Methods, 21(5), 1383–1403.
  • Lenth, R. V. (1989). Quick and easy analysis of unreplicated factorials. Technometrics, 31(4), 469–473.
  • Loughin, T. M. (1998). Calibration of the length test for unreplicated factorial designs. Journal of Quality Technology, 30(2), 171–175.
  • Mee, R. W., Ford III, J. J. and Wu, S. S. (2011). Step-up test with a single cutoff for unreplicated orthogonal designs. Journal of Statistical Planning and Inference, 141(1), 325–334.
  • Montgomery, D. C. (2008). Design and Analysis of Experiments (7th edition). John Wiley & Sons, Hoboken, New Jersey.
  • Ott, E. R. (1975). Process Quality Control: Troubleshooting and Interpretation of Data. McGraw-Hill, New York.
  • Venter, J. H. and Steel, S. J. (1998). Identifying active contrasts by stepwise testing. Technometrics, 40(4), 304–313.
  • Ye, K. Q. and Hamada, M. (2000). Critical values of the Lenth method for unreplicated factorial designs. Journal of Quality Technology, 32(1), 57–66.
  • Ye, K. Q., Hamada, M. and Wu, C. F. J. (2001). A step-down Lenth method for analyzing unreplicated factorial designs. Journal of Quality Technology, 33(2), 140–152.

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