A permutation test for effects in an unreplicated factorial design

Technometrics

Volumn 39, Issue 2, 1997, Pages 180-190

  Loughin, Thomas M ^a   Noble, William ^b  

^a KANSAS STATE UNIVERSITY   (United States)

^b PFIZER INC   (United States)

Author keywords

Calibration; Fractional factorial; Lenth test; Randomization test; Simulation

Indexed keywords

CALIBRATION; DECISION THEORY; OPTIMIZATION; RANDOM PROCESSES; SAMPLING;

FRACTIONAL FACTORIAL; LENTH TEST; RANDOMIZATION TEST; UNREPLICATED FACTORIAL DESIGN;

STATISTICAL TESTS;

EID: 0031130777     PISSN: 00401706     EISSN: 15372723     Source Type: Journal    
DOI: 10.1080/00401706.1997.10485083     Document Type: Article

References (23)

1. Balakrishnan, N., and Hamada, M. (1994), “Analyzing Unreplicated Factorial Experiments: A Review With Some New Proposals,” IIQP Research Report RR-94-12, University of Waterloo.
2. Barnett, V., and Lewis, T. (1984), Outliers in Statistical Data (2nd ed.), New York: Wiley.
3. Birnbaum, A. (1959), “On the Analysis of Factorial Experiments Without Replication,” Technometrics, 1, 343-357.
4. 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.
5. Box, G. E. P., and Draper, N. R. (1987), Empirical Model-Building and Response Surfaces, New York: Wiley.
6. Box, G. E. P., Hunter, W. G., and Hunter, J. S. (1978), Statistics for Experimenters, New York: Wiley.
7. Box, G. E. P., and Meyer, R. D. (1986), “An Analysis for Unreplicated Fractional Factorials,” Technometrics, 28, 11-18.
8. Daniel, C. (1959), “Use of Half-Normal Plots in Interpreting Factorial Two-Level Experiments,” Technometrics, 1, 311-340.
9. David, H. A. (1980), Order Statistics, New York: Wiley.
10. Gibbons, J. D. (1971), Nonparametric Statistical Inference, New York: McGraw-Hill.
11. Holms, A. G., and Berretoni, J. N. (1969), “Chain-Pooling ANOVA for Two-Level Factorial Replication-Free Experiments,” Technometrics, 11, 725-746.
12. Kempthorne, O. (1952), The Design and Analysis of Experiments, New York: Wiley.
13. Lenth, R. V. (1989), “Quick and Easy Analysis of Unreplicated Factorials,” Technometrics, 31, 469-473.
14. 3 Factorials,” unpublished manuscript submitted to The Statistician.
15. Loughin, T. M. (1996), “Calibration of the Lenth Test for Unreplicated Factorial Designs,” technical report, Kansas State University, Dept, of Statistics.
16. Milliken, G. A., and Johnson, D. E. (1989), Analysis of Messy Data, Volume 2: Nonreplicated Experiments, New York: Van Nostrand Reinhold.
17. Montgomery, D. C. (1991), Design and Analysis of Experiments (3rd ed.), New York: Wiley.
18. Petersen, R. G. (1985), Design and Analysis of Experiments, Monticello, NY: Marcel Dekker.
19. Searle, S. G. (1971), Linear Models, New York: Wiley.
20. Stephenson, W. R. (1991), “A Computer Program for the Quick and Easy Analysis of Unreplicated Factorials,” Journal of Quality Technology, 23, 63-67.
21. Westfall, P. H., and Young, S. S. (1993), Resampling-Based Multiple Testing: Examples and Methodologies for p-Value Adjustment, New York: Wiley.
22. Zahn, D. A. (1975a), “Modifications of and Revised Critical Values for the Half-Normal Plot,” Technometrics, 17, 189-200.
23. Zahn, D. A. (1975b), “An Empirical Study of the Half-Normal Plot,” Technometrics, 17, 201-211.