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Volumn 46, Issue 1, 2004, Pages 125-140

A new quantitative method for analysing unreplicated factorial designs

Author keywords

Half normal plot; Loss of decision; Quantitative methods; Simulation study; Unreplicated factorial

Indexed keywords

STATISTICS;

EID: 26844520758     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/bimj.200210005     Document Type: Article
Times cited : (39)

References (41)
  • 2
    • 0033419323 scopus 로고    scopus 로고
    • A multistage procedure for analyzing unreplieated factorial experiments
    • Al-Shiha, A. A. and Yang, S.-S. (1999). A multistage procedure for analyzing unreplieated factorial experiments. Biometrical Journal 41, 659-670.
    • (1999) Biometrical Journal , vol.41 , pp. 659-670
    • Al-Shiha, A.A.1    Yang, S.-S.2
  • 3
    • 0034557445 scopus 로고    scopus 로고
    • Critical values and some properties of a new test statistic for analyzing unreplieated factorial experiments
    • Al-Shiha, A. A. and Yang, S.-S. (2000). Critical values and some properties of a new test statistic for analyzing unreplieated factorial experiments. Biometrical Journal 42, 605-616.
    • (2000) Biometrical Journal , vol.42 , pp. 605-616
    • Al-Shiha, A.A.1    Yang, S.-S.2
  • 4
    • 85153025579 scopus 로고    scopus 로고
    • A multistage test for detecting multiple outliers in the normal case
    • Al-Shiha, A. A. and Yang, S.-S. (2001). A multistage test for detecting multiple outliers in the normal case. Arab Journal of Mathematical Sciences 7(2), 43-63.
    • (2001) Arab Journal of Mathematical Sciences , vol.7 , Issue.2 , pp. 43-63
    • Al-Shiha, A.A.1    Yang, S.-S.2
  • 5
    • 0001736310 scopus 로고
    • Use of a normality test to identify significant effects in factorial designs
    • Benski, H. C. (1989). Use of a normality test to identify significant effects in factorial designs. Journal of Quality Technology 21, 174-178.
    • (1989) Journal of Quality Technology , vol.21 , pp. 174-178
    • Benski, H.C.1
  • 6
    • 0029325750 scopus 로고
    • Unreplieated experimental designs in reliability growth programs
    • Benski, C. and Cabau, E. (1995). Unreplieated experimental designs in reliability growth programs. IEEE Transactions of Reliability 44, 199-205.
    • (1995) IEEE Transactions of Reliability , vol.44 , pp. 199-205
    • Benski, C.1    Cabau, E.2
  • 7
    • 0002428213 scopus 로고
    • Significance tests for saturated orthogonal arrays
    • Berk, K. N. and Picard, R. R. (1991). Significance tests for saturated orthogonal arrays. Journal of Quality Technology 23, 79-89.
    • (1991) Journal of Quality Technology , vol.23 , pp. 79-89
    • Berk, K.N.1    Picard, R.R.2
  • 8
    • 0001332581 scopus 로고
    • On the analysis of factorial experiments without replication
    • Birnbaum, A. (1959). On the analysis of factorial experiments without replication. Technometrics 1, 343-357.
    • (1959) Technometrics , vol.1 , pp. 343-357
    • Birnbaum, A.1
  • 9
    • 0041059634 scopus 로고
    • A multi-decision procedure related to the analysis of single degrees of freedom
    • Birnbaum, A. (1961). A multi-decision procedure related to the analysis of single degrees of freedom. Annals of the Institute of Statistical Mathematics 12, 227-236.
    • (1961) Annals of the Institute of Statistical Mathematics , vol.12 , pp. 227-236
    • Birnbaum, A.1
  • 10
    • 0039280748 scopus 로고
    • Interpreting mean squares in saturated fractional designs
    • Bissell, A. F. (1989). Interpreting mean squares in saturated fractional designs. Journal of Applied Statistics 16, 7-18.
    • (1989) Journal of Applied Statistics , vol.16 , pp. 7-18
    • Bissell, A.F.1
  • 11
    • 0041059632 scopus 로고
    • Mean squares in saturated fractional designs revisited
    • Bissell, A. F. (1992). Mean squares in saturated fractional designs revisited. Journal of Applied Statistics 19, 351-366.
    • (1992) Journal of Applied Statistics , vol.19 , pp. 351-366
    • Bissell, A.F.1
  • 12
    • 0022659311 scopus 로고
    • An analysis for unreplieated fractional factorials
    • Box, G. E. P. and Meyer, R. D. (1986). An analysis for unreplieated fractional factorials. Technometrics 28, 11-18.
    • (1986) Technometrics , vol.28 , pp. 11-18
    • Box, G.E.P.1    Meyer, R.D.2
  • 13
    • 26844480484 scopus 로고    scopus 로고
    • Doctoral thesis, Fachbereich Statistik der Universität Dortmund
    • Chen, Y. (2003). On the analysis of unreplieated factorial designs. Doctoral thesis, Fachbereich Statistik der Universität Dortmund. (http://eldorado.uni-dortmund.de:8080/FB5/ls2/forschung/2003/Chen)
    • (2003) On the Analysis of Unreplieated Factorial Designs
    • Chen, Y.1
  • 14
    • 84894519856 scopus 로고
    • Use of half-normal plots in interpreting factorial two-level experiments
    • Daniel, C. (1959). Use of Half-normal plots in interpreting factorial two-level experiments. Technometrics 1, 311-341.
    • (1959) Technometrics , vol.1 , pp. 311-341
    • Daniel, C.1
  • 16
    • 0000254339 scopus 로고
    • On the identification of active contrasts in unreplieated fractional factorials
    • Dong, F. (1993). On the identification of active contrasts in unreplieated fractional factorials. Statistica Sinica 3, 209-217.
    • (1993) Statistica Sinica , vol.3 , pp. 209-217
    • Dong, F.1
  • 17
    • 0001985513 scopus 로고
    • Inference for effect-saturated fractional factorials
    • Haaland, P. D. and O'Connell, M. A. (1995). Inference for effect-saturated fractional factorials. Technometrics 37, 82-93.
    • (1995) Technometrics , vol.37 , pp. 82-93
    • Haaland, P.D.1    O'Connell, M.A.2
  • 18
    • 0542448402 scopus 로고    scopus 로고
    • Analyzing unreplicated factorial experiments: A review with some new proposals
    • Hamada, M. and Balakrishnan, N. (1998). Analyzing unreplicated factorial experiments: A review with some new proposals (with Comments and Rejoinder). Statistica Sinica 8, 1-41.
    • (1998) Statistica Sinica , vol.8 , pp. 1-41
    • Hamada, M.1    Balakrishnan, N.2
  • 19
    • 0039892598 scopus 로고
    • Chain-pooling ANOVA for two-level factorial replication-free experiments
    • Holms, A. G. and Berrettoni, J. N. (1969). Chain-pooling ANOVA for two-level factorial replication-free experiments. Technometrics 11, 725-746.
    • (1969) Technometrics , vol.11 , pp. 725-746
    • Holms, A.G.1    Berrettoni, J.N.2
  • 20
    • 10244237399 scopus 로고
    • Graphical exploratory analysis of variance illustrated on a splitting of the Johnson and Tsao data
    • C. L. Mallows (ed.). John Wiley, New York
    • Johnson, E. G. and Tukey, J. W. (1987). Graphical exploratory analysis of variance illustrated on a splitting of the Johnson and Tsao data. In: C. L. Mallows (ed.): Design, Data, and Analysis. John Wiley, New York, 171-244.
    • (1987) Design, Data, and Analysis , pp. 171-244
    • Johnson, E.G.1    Tukey, J.W.2
  • 21
    • 0001199871 scopus 로고
    • A simple method to identify significant effects in unreplicated two-level factorial designs
    • 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, 1383-1403.
    • (1992) Communications in Statistics Theory and Methods , vol.21 , pp. 1383-1403
    • Juan, J.1    Pena, D.2
  • 22
    • 4043140283 scopus 로고
    • Vergleich von Varianzschätzern bei nicht wiederholten Faktorplänen
    • Kunert, J. (1994). Vergleich von Varianzschätzern bei nicht wiederholten Faktorplänen. Grazer Mathematische Berichte 324, 105-113.
    • (1994) Grazer Mathematische Berichte , vol.324 , pp. 105-113
    • Kunert, J.1
  • 23
    • 0009701767 scopus 로고    scopus 로고
    • On the use of the factor-sparsity assumption to get an estimate of the variance in saturated designs
    • Kunert, J. (1997). On the use of the factor-sparsity assumption to get an estimate of the variance in saturated designs. Technometrics 39, 81-90.
    • (1997) Technometrics , vol.39 , pp. 81-90
    • Kunert, J.1
  • 24
    • 0032488774 scopus 로고    scopus 로고
    • A quantitative method for identifying active contrasts in unreplicated factorial designs based on the half-normal plot
    • Lawson, J., Grimshaw, S., and Burt, J. (1998). A quantitative method for identifying active contrasts in unreplicated factorial designs based on the half-normal plot. Computational Statistics & Data Analysis 26, 425-436.
    • (1998) Computational Statistics & Data Analysis , vol.26 , pp. 425-436
    • Lawson, J.1    Grimshaw, S.2    Burt, J.3
  • 26
    • 0024767930 scopus 로고
    • Quick and easy analysis of unreplicated factorials
    • Lenth, R. V. (1989). Quick and easy analysis of unreplicated factorials. Technometrics 31, 469-473.
    • (1989) Technometrics , vol.31 , pp. 469-473
    • Lenth, R.V.1
  • 27
    • 38249009041 scopus 로고
    • Identification of active contrasts in unreplicated factorial experiments
    • Loh, W.-Y. (1992). Identification of active contrasts in unreplicated factorial experiments. Computational Statistics & Data Analysis 14, 135-148.
    • (1992) Computational Statistics & Data Analysis , vol.14 , pp. 135-148
    • Loh, W.-Y.1
  • 28
    • 0031130777 scopus 로고    scopus 로고
    • A permutation test for effects in an unreplicated factorial design
    • Loughin, T. M. and Noble, W. (1997). A permutation test for effects in an unreplicated factorial design. Technometrics 39, 180-190.
    • (1997) Technometrics , vol.39 , pp. 180-190
    • Loughin, T.M.1    Noble, W.2
  • 29
    • 0002968188 scopus 로고
    • Finding significant effects for unreplicated fractional factorials using the n smallest contrasts
    • Schneider, H., Kasperski, W. J., and Weissfeld, L. (1993). Finding significant effects for unreplicated fractional factorials using the n smallest contrasts. Journal of Quality Technology 25, 18-27.
    • (1993) Journal of Quality Technology , vol.25 , pp. 18-27
    • Schneider, H.1    Kasperski, W.J.2    Weissfeld, L.3
  • 30
    • 2342465680 scopus 로고    scopus 로고
    • Three robust scale estimators to judge unreplicated experiments
    • Schoen, E. D. and Kaul, E. A. A. (2000). Three robust scale estimators to judge unreplicated experiments. Journal of Quality Technology 32, 276-283.
    • (2000) Journal of Quality Technology , vol.32 , pp. 276-283
    • Schoen, E.D.1    Kaul, E.A.A.2
  • 31
    • 0344206448 scopus 로고
    • Some resistant procedures for analyzing factorial experiments
    • Seheult, A. and Tukey, J. W. (1982). Some resistant procedures for analyzing factorial experiments. Utilitas Mathematica 21B, 57-98.
    • (1982) Utilitas Mathematica , vol.21 B , pp. 57-98
    • Seheult, A.1    Tukey, J.W.2
  • 32
    • 0000555892 scopus 로고
    • Allgemeine Lösungen multipler Testprobleme
    • Sonnemann, E. (1982). Allgemeine Lösungen multipler Testprobleme. EDV in Medizin und Biologie 13, 120-128.
    • (1982) EDV in Medizin und Biologie , vol.13 , pp. 120-128
    • Sonnemann, E.1
  • 35
    • 0030150107 scopus 로고    scopus 로고
    • A hypothesis-testing approach toward identifying active contrasts
    • Venter, J. H. and Steel, S. J. (1996). A hypothesis-testing approach toward identifying active contrasts. Technometrics 38, 161-169.
    • (1996) Technometrics , vol.38 , pp. 161-169
    • Venter, J.H.1    Steel, S.J.2
  • 36
    • 0001421772 scopus 로고
    • Generalized modulus-ratio test for analysis of factorial designs with zero degrees of freedom for error
    • Voss, D. T. (1988). Generalized modulus-ratio test for analysis of factorial designs with zero degrees of freedom for error. Communications in Statistics Theory and Methods 17, 3345-3359.
    • (1988) Communications in Statistics Theory and Methods , vol.17 , pp. 3345-3359
    • Voss, D.T.1
  • 37
    • 0033227223 scopus 로고    scopus 로고
    • Simultaneous confidence intervals in the analysis of orthogonal saturated designs
    • Voss, D. T. and Wang, W.-Z. (1999). Simultaneous confidence intervals in the analysis of orthogonal saturated designs. Journal of Statistical Planning and Inference 81, 383-392.
    • (1999) Journal of Statistical Planning and Inference , vol.81 , pp. 383-392
    • Voss, D.T.1    Wang, W.-Z.2
  • 39
    • 0009732898 scopus 로고    scopus 로고
    • A step-down lenth method for analyzing unreplicated factorial designs
    • 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, 140-152.
    • (2001) Journal of Quality Technology , vol.33 , pp. 140-152
    • Ye, K.Q.1    Hamada, M.2    Wu, C.F.J.3
  • 40
    • 0016510194 scopus 로고
    • Modifications of and revised critical values for the half-normal plot
    • Zahn, D. A. (1975a). Modifications of and revised critical values for the half-normal plot. Technometrics 17, 189-200.
    • (1975) Technometrics , vol.17 , pp. 189-200
    • Zahn, D.A.1
  • 41
    • 0016510270 scopus 로고
    • An empirical study of the half-normal plot
    • Zahn, D. A. (1975b). An empirical study of the half-normal plot. Technometrics 17, 201-211.
    • (1975) Technometrics , vol.17 , pp. 201-211
    • Zahn, D.A.1


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