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Volumn 139, Issue 2, 2009, Pages 629-641

Response surface design evaluation and comparison

Author keywords

Design optimality; Fraction of design space plots; Graphical methods; Variance dispersion graphs

Indexed keywords


EID: 55149112817     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2008.04.004     Document Type: Note
Times cited : (136)

References (58)
  • 1
    • 27844575628 scopus 로고    scopus 로고
    • Statistics roundtable: how to choose the appropriate design
    • Anderson-Cook C.M. Statistics roundtable: how to choose the appropriate design. Quality Prog. October (2005) 80-82
    • (2005) Quality Prog. , vol.October , pp. 80-82
    • Anderson-Cook, C.M.1
  • 3
    • 55149088708 scopus 로고    scopus 로고
    • Anderson-Cook, C.M., Borror, C.M., Jones, B., 2008. Graphical tools for assessing the sensitivity of response surface designs to model misspecification. Technometrics, in press.
    • Anderson-Cook, C.M., Borror, C.M., Jones, B., 2008. Graphical tools for assessing the sensitivity of response surface designs to model misspecification. Technometrics, in press.
  • 4
    • 0009248235 scopus 로고
    • The design of experiments to estimate the slope of a response surface
    • Atkinson A.C. The design of experiments to estimate the slope of a response surface. Biometrika 57 (1970) 319-328
    • (1970) Biometrika , vol.57 , pp. 319-328
    • Atkinson, A.C.1
  • 5
    • 1042304031 scopus 로고    scopus 로고
    • Using a genetic algorithm to generate exact small response surface designs
    • Borkowski J.J. Using a genetic algorithm to generate exact small response surface designs. J. Probab. Statist. Sci. 1 (2003) 65-88
    • (2003) J. Probab. Statist. Sci. , vol.1 , pp. 65-88
    • Borkowski, J.J.1
  • 6
    • 0442315274 scopus 로고    scopus 로고
    • Evaluation of statistical designs for experiments involving noise variables
    • Borror C.M., Montgomery D.C., and Myers R.H. Evaluation of statistical designs for experiments involving noise variables. J. Quality Tech. 34 (2002) 54-70
    • (2002) J. Quality Tech. , vol.34 , pp. 54-70
    • Borror, C.M.1    Montgomery, D.C.2    Myers, R.H.3
  • 8
    • 55149099474 scopus 로고    scopus 로고
    • Chung, P., Goldfarb, H., Montgomery, D., Borror, C., 2008. Optimal designs for mixture-process experiments involving continuous and categorical noise variables. Quality Tech. Quantitative Management, to appear.
    • Chung, P., Goldfarb, H., Montgomery, D., Borror, C., 2008. Optimal designs for mixture-process experiments involving continuous and categorical noise variables. Quality Tech. Quantitative Management, to appear.
  • 9
    • 0001049212 scopus 로고
    • Optimum allocation in linear regression theory
    • Elfving G. Optimum allocation in linear regression theory. Ann. Math. Statist. 23 (1952) 255-262
    • (1952) Ann. Math. Statist. , vol.23 , pp. 255-262
    • Elfving, G.1
  • 10
    • 0024656445 scopus 로고
    • Graphical assessment of the prediction capability of response surface designs
    • Giovannitti-Jensen A., and Myers R.H. Graphical assessment of the prediction capability of response surface designs. Technometrics 31 (1989) 159-171
    • (1989) Technometrics , vol.31 , pp. 159-171
    • Giovannitti-Jensen, A.1    Myers, R.H.2
  • 11
    • 1042304012 scopus 로고    scopus 로고
    • Mixture-process variable experiments with noise variables
    • Goldfarb H.B., Borror C.M., and Montgomery D.C. Mixture-process variable experiments with noise variables. J. Quality Tech. 35 (2003) 393-405
    • (2003) J. Quality Tech. , vol.35 , pp. 393-405
    • Goldfarb, H.B.1    Borror, C.M.2    Montgomery, D.C.3
  • 12
    • 2342454478 scopus 로고    scopus 로고
    • Fraction of design space to assess the prediction capability of mixture and mixture-process designs
    • Goldfarb H.B., Anderson-Cook C.M., Borror C.M., and Montgomery D.C. Fraction of design space to assess the prediction capability of mixture and mixture-process designs. J. Quality Tech. 36 (2004) 169-179
    • (2004) J. Quality Tech. , vol.36 , pp. 169-179
    • Goldfarb, H.B.1    Anderson-Cook, C.M.2    Borror, C.M.3    Montgomery, D.C.4
  • 14
    • 0005172097 scopus 로고
    • Slope-rotatable central composite designs
    • Hader R.J., and Park S.H. Slope-rotatable central composite designs. Technometrics 20 (1978) 413-418
    • (1978) Technometrics , vol.20 , pp. 413-418
    • Hader, R.J.1    Park, S.H.2
  • 15
    • 0023454263 scopus 로고
    • The application of the annealing algorithm to the construction of exact optimal designs for linear regression models
    • Haines L.M. The application of the annealing algorithm to the construction of exact optimal designs for linear regression models. Technometrics 29 (1987) 439-447
    • (1987) Technometrics , vol.29 , pp. 439-447
    • Haines, L.M.1
  • 16
    • 0035620460 scopus 로고    scopus 로고
    • Finding near optimal Bayesian experimental designs via genetic algorithms
    • Hamada M., Martz H.F., Reese S., and Wilson A. Finding near optimal Bayesian experimental designs via genetic algorithms. Amer. Statist. 55 (2001) 175-181
    • (2001) Amer. Statist. , vol.55 , pp. 175-181
    • Hamada, M.1    Martz, H.F.2    Reese, S.3    Wilson, A.4
  • 17
    • 18144395863 scopus 로고    scopus 로고
    • Accounting for mixture errors in analyzing mixture experiments
    • Hamada M., Martz H.F., and Steiner S.H. Accounting for mixture errors in analyzing mixture experiments. J. Quality Tech. 37 (2005) 139-148
    • (2005) J. Quality Tech. , vol.37 , pp. 139-148
    • Hamada, M.1    Martz, H.F.2    Steiner, S.H.3
  • 20
    • 0016094587 scopus 로고
    • n factorial
    • n factorial. Technometrics 17 (1974) 375-384
    • (1974) Technometrics , vol.17 , pp. 375-384
    • Hoke, A.T.1
  • 21
    • 0000156705 scopus 로고
    • A measure and a graphical method for evaluating slope rotatability in response surface designs
    • Jang D.H., and Park S.H. A measure and a graphical method for evaluating slope rotatability in response surface designs. Comm. Statist. Theory Methods 22 (1993) 1849-1863
    • (1993) Comm. Statist. Theory Methods , vol.22 , pp. 1849-1863
    • Jang, D.H.1    Park, S.H.2
  • 22
    • 0001675527 scopus 로고
    • Optimum experimental designs (with discussion)
    • Kiefer J. Optimum experimental designs (with discussion). J. Roy. Statist. Soc. B 21 (1959) 229-249
    • (1959) J. Roy. Statist. Soc. B , vol.21 , pp. 229-249
    • Kiefer, J.1
  • 23
    • 0001112787 scopus 로고
    • The equivalence of two extremum problems
    • Kiefer J., and Wolfowitz J. The equivalence of two extremum problems. Canad. J. Math. 12 (1960) 262-266
    • (1960) Canad. J. Math. , vol.12 , pp. 262-266
    • Kiefer, J.1    Wolfowitz, J.2
  • 24
    • 0012129967 scopus 로고    scopus 로고
    • 24 run split-plot experiments for robust parameter design
    • Kowalski S. 24 run split-plot experiments for robust parameter design. J. Quality Tech. 34 (2002) 399-410
    • (2002) J. Quality Tech. , vol.34 , pp. 399-410
    • Kowalski, S.1
  • 28
    • 33847692409 scopus 로고    scopus 로고
    • Letter to the Editor: comments on optimal designs for second-order polynomial models
    • Lucas J. Letter to the Editor: comments on optimal designs for second-order polynomial models. J. Quality Tech. 39 (2007) 90-91
    • (2007) J. Quality Tech. , vol.39 , pp. 90-91
    • Lucas, J.1
  • 29
    • 2342586713 scopus 로고    scopus 로고
    • Two approaches for improving the dual response method in robust parameter design
    • Miró-Quesada G., and del Castillo E. Two approaches for improving the dual response method in robust parameter design. J. Quality Tech. 36 (2004) 154-168
    • (2004) J. Quality Tech. , vol.36 , pp. 154-168
    • Miró-Quesada, G.1    del Castillo, E.2
  • 30
    • 0346749807 scopus 로고
    • Minimax second- and third-order designs to estimate the slope of a response surface
    • Mukerjee R., and Huda S. Minimax second- and third-order designs to estimate the slope of a response surface. Biometrika 72 (1985) 173-178
    • (1985) Biometrika , vol.72 , pp. 173-178
    • Mukerjee, R.1    Huda, S.2
  • 31
    • 0040960174 scopus 로고
    • Optimal designs for estimating the slope of a polynomial regression
    • Murty V., and Studden W. Optimal designs for estimating the slope of a polynomial regression. J. Amer. Statist. Assoc. 67 (1972) 869-873
    • (1972) J. Amer. Statist. Assoc. , vol.67 , pp. 869-873
    • Murty, V.1    Studden, W.2
  • 32
    • 0016569763 scopus 로고
    • A generalization of the response surface mean square error criterion with a specific application to the slope
    • Myers R.H., and Lahoda S. A generalization of the response surface mean square error criterion with a specific application to the slope. Technometrics 17 (1975) 481-486
    • (1975) Technometrics , vol.17 , pp. 481-486
    • Myers, R.H.1    Lahoda, S.2
  • 34
    • 84952493724 scopus 로고
    • Response surface alternatives to the Taguchi robust parameter design approach
    • Myers R.H., Khuri A., and Vining G. Response surface alternatives to the Taguchi robust parameter design approach. Amer. Statist. 46 (1992) 131-139
    • (1992) Amer. Statist. , vol.46 , pp. 131-139
    • Myers, R.H.1    Khuri, A.2    Vining, G.3
  • 37
    • 84952120470 scopus 로고
    • Taguchi's parameter design: a panel discussion
    • Nair V. Taguchi's parameter design: a panel discussion. Technometrics 34 (1992) 127-161
    • (1992) Technometrics , vol.34 , pp. 127-161
    • Nair, V.1
  • 38
    • 55149124774 scopus 로고    scopus 로고
    • Fraction of design space plots for reexamining mixture design robustness to measurement errors
    • Ozol-Godfrey A., and Anderson-Cook C.M. Fraction of design space plots for reexamining mixture design robustness to measurement errors. J. Statist. Appl. 1 (2007) 171-183
    • (2007) J. Statist. Appl. , vol.1 , pp. 171-183
    • Ozol-Godfrey, A.1    Anderson-Cook, C.M.2
  • 42
    • 40549142121 scopus 로고    scopus 로고
    • Parker, P.A., Anderson-Cook, C.M., Robinson, T.J., and Liang, L., 2008. Robust split-plot designs. Quality Reliability Eng. Internat., in press.
    • Parker, P.A., Anderson-Cook, C.M., Robinson, T.J., and Liang, L., 2008. Robust split-plot designs. Quality Reliability Eng. Internat., in press.
  • 43
    • 0002111530 scopus 로고
    • Variance dispersion graphs for designs on polyhedral regions
    • American Statistical Association, Alexandria, Virginia
    • Piepel G.F., and Anderson C.M. Variance dispersion graphs for designs on polyhedral regions. 1992 Proceedings of the Section on Physical and Engineering Sciences (1992), American Statistical Association, Alexandria, Virginia 111-117
    • (1992) 1992 Proceedings of the Section on Physical and Engineering Sciences , pp. 111-117
    • Piepel, G.F.1    Anderson, C.M.2
  • 46
    • 0001068097 scopus 로고
    • Hybrid designs for quadratic response surfaces
    • Roquemore R. Hybrid designs for quadratic response surfaces. Technometrics 18 (1976) 419-423
    • (1976) Technometrics , vol.18 , pp. 419-423
    • Roquemore, R.1
  • 48
    • 0031247333 scopus 로고    scopus 로고
    • Making mixtures robust to noise and mixing measurement errors
    • Steiner S.H., and Hamada M. Making mixtures robust to noise and mixing measurement errors. J. Quality Tech. 29 (1997) 441-450
    • (1997) J. Quality Tech. , vol.29 , pp. 441-450
    • Steiner, S.H.1    Hamada, M.2
  • 51
    • 0343391444 scopus 로고
    • A graphical approach for evaluating response surface designs in terms of the mean squared error of prediction
    • Vining G.G., and Myers R.H. A graphical approach for evaluating response surface designs in terms of the mean squared error of prediction. Technometrics 33 (1991) 315-326
    • (1991) Technometrics , vol.33 , pp. 315-326
    • Vining, G.G.1    Myers, R.H.2
  • 52
    • 0013097818 scopus 로고
    • On the efficient design of statistical investigations
    • Wald A. On the efficient design of statistical investigations. Ann. Math. Statist. 14 (1943) 134-140
    • (1943) Ann. Math. Statist. , vol.14 , pp. 134-140
    • Wald, A.1
  • 53
    • 0020090340 scopus 로고
    • Branch and bound search for experimental designs based on D-optimality and other criteria
    • Welch W.J. Branch and bound search for experimental designs based on D-optimality and other criteria. Technometrics 24 (1982) 41-48
    • (1982) Technometrics , vol.24 , pp. 41-48
    • Welch, W.J.1
  • 54
    • 0141531111 scopus 로고
    • A mean squared error criterion for the design of experiments
    • Welch W.J. A mean squared error criterion for the design of experiments. Biometrika 70 (1983) 205-213
    • (1983) Biometrika , vol.70 , pp. 205-213
    • Welch, W.J.1
  • 55
    • 0001894402 scopus 로고
    • Computer experiments for quality control by parameter design
    • Welch W., Yu T., Kang S., and Sacks J. Computer experiments for quality control by parameter design. J. Quality Tech. 22 (1990) 15-22
    • (1990) J. Quality Tech. , vol.22 , pp. 15-22
    • Welch, W.1    Yu, T.2    Kang, S.3    Sacks, J.4
  • 56
    • 1042280732 scopus 로고    scopus 로고
    • Fraction of design space to assess the prediction capability of response surface designs
    • Zahran A., Anderson-Cook C.M., and Myers R.H. Fraction of design space to assess the prediction capability of response surface designs. J. Quality Tech. 35 (2003) 377-386
    • (2003) J. Quality Tech. , vol.35 , pp. 377-386
    • Zahran, A.1    Anderson-Cook, C.M.2    Myers, R.H.3
  • 57
    • 55149109523 scopus 로고    scopus 로고
    • Zahran, A., Myers, R.H., 2003. Use of standard factorial designs with generalized linear models. Virginia Tech Department of Statistics Technical Report 03-4.
    • Zahran, A., Myers, R.H., 2003. Use of standard factorial designs with generalized linear models. Virginia Tech Department of Statistics Technical Report 03-4.
  • 58
    • 0035517038 scopus 로고    scopus 로고
    • A robust criterion for experimental designs for serially correlated observations
    • Zhou J. A robust criterion for experimental designs for serially correlated observations. Technometrics 43 (2001) 462-467
    • (2001) Technometrics , vol.43 , pp. 462-467
    • Zhou, J.1


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