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Original Articles

Analysis of Nearly Saturated Designs Using Composite Variance Estimators

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Pages 227-242 | Published online: 14 Aug 2013

  • AlamK. and RizviM. H. (1966). Selection from multivariate normal populations. Annals of the Institute of Statistical Mathematics 18, 307–318.
  • BerkK. N. and PicardR. R. (1991). Significance tests for saturated orthogonal arrays. Journal of Quality Technology 23, 79–89.
  • HamadaM. and BalakrishnanN. (1998). Analyzing unreplicated factorial experiments: A review with some new proposals. Statistica Sinica 8, 1–41.
  • KinatederK. J., VossD. T. and WangW. (2000a). Exact confidence intervals in the analysis of nonorthogonal saturated designs. In MishraS. (Ed.), Proceedings of the 1997 International Conference on Statistical Inference, Combinatorics and Related Areas, a special volume of American Journal of Mathematical and Management Sciences 20, 71–84.
  • KinatederK. J., VossD. T. and WangW. (2000b). Analysis of saturated and supersaturated factorial designs: A review. In BalakrishnanN. (Ed.), Proceedings of the Indian International Statistical Association 1998 International Conference, 325–347. NewarkNew Jersey: Gordon and Breach.
  • KunertJ. (1997). On the use of the factor-sparsity assumption to get an estimate of the variance in saturated designs. Technometrics 39, 81–90.
  • LangsrudO. and NaesT. (1998). A unified framework for significance testing in fractional factorials. Computational statistics and data analysis 28, 413–431.
  • MahamunuluD. M. (1967). Some fixed-sample ranking and selection problems. Annals of Mathematical Statistics 38, 1079–1091.
  • MarcusR., PeritzE. and GabrielK. R. (1976). On closed testing procedures with special reference to ordered analysis of variance. Biometrika 63, 655–660.
  • PlackettR. L. and BurmanJ. P. (1946). The design of optimum multifactorial experiments. Biometrika 33, 305–325.
  • VenterJ. H. and SteelS. J. (1998). Identifying active contrasts by stepwise testing. Technometrics 40, 304–313.
  • VossD. T. (1988). Generalized modulus-ratio tests for analysis of factorial designs with zero degrees of freedom for error. Communications in Statistics: Theory and Methods 17, 3345–3359.
  • VossD. T. (1999). Analysis of orthogonal saturated designs. Journal of Statistical Planning and Inference 78, 111–130.
  • VossD. T. and WangW. (1999). Simultaneous confidence intervals in the analysis of orthogonal saturated designs. Journal of Statistical Planning and Inference 81 (1999), 383–392.
  • YeK. Q., HamadaM., and WuC. F. J. (2001). A step-down method for analyzing unreplicated factorial designs. Journal of Quality Technology 33, 140–152.
  • ZahnD. A. (1975a). Modifications of and revised critical values for the half-normal plots. Technometrics 17, 189–200.
  • ZahnD. A. (1975b). An empirical study of the half-normal plot. Technometrics 17, 201–211.

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