Design and analysis of two-level factorial experiments with partial replication

Technometrics

Volumn 51, Issue 1, 2009, Pages 66-74

  Liao, Chen Tuo ^a   Chai, Feng Shun ^b  

^a NATIONAL TAIPEI UNIVERSITY   (Taiwan)

^b INSTITUTE OF STATISTICAL SCIENCE   (Taiwan)

Author keywords

Active effect; Parallel flats design; Pure error; Unreplicated design

Indexed keywords

ACTIVE EFFECT; D-OPTIMAL; D-OPTIMAL DESIGNS; DEGREES OF FREEDOM; DESIGN AND ANALYSIS; ERROR VARIANCE; FACTORIAL EXPERIMENT; PARALLEL-FLATS DESIGN; PARTIAL REPLICATION; PURE ERROR; SIMULATION STUDIES; SUFFICIENT CONDITIONS;

EXPERIMENTS;

DESIGN;

EID: 70549103026     PISSN: 00401706     EISSN: None     Source Type: Journal    
DOI: 10.1198/TECH.2009.0007     Document Type: Article

References (17)

1. Box, G. E. P., and Meyer, R. D. (1986), "An Analysis for Unreplicated Fractional Factorials," Technometrics, 28, 11-18.
2. Cheng, C. S. (1978), "Optimality of Certain Asymmetrical Experimental Designs," The Annals of Statistics, 6, 1239-1261.
3. Dykstra Jr., O. (1959), "Partial Duplication of Factorial Experiments," Technometrics, 1, 63-75.
4. Franklin, M. F., and Bailey, R. A. (1977), "Selecting Defining Contrasts and Confounded Effects in Two-Level Experiments," Applied Statistics, 26, 321-326.
5. Hamada, H., and Balakrishnan, N. (1998), "Analyzing Unreplicated Factorial Experiments: A Review With Some New Proposals," Statistica Sinica, 8, 1-41. (Pubitemid 128480576)
6. Lenth, R. V. (1989), "Quick and Easy Analysis of Unreplicated Factorials," Technometrics, 31, 469-473.
7. Li, F. (1991), "Sequential and Optimal Single Stage Factorial Designs With Industrial Applications," Ph.D. dissertation, Colorado State University, Fort Collins, CO.
8. Liao, C. T., and Chai, F. S. (2004), "Partially Replicated Two-Level Fractional Factorial Designs," The Canadian Journal of Statistics, 32, 421-438. (Pubitemid 40195278)
9. k," Technometrics, 38, 342-353.
10. Mukerjee, R. (1999), "On the Optimality of Orthogonal Array Plus One Run Plan," The Annals of Statistics, 27, 82-93.
11. Pigeon, J. G., and McAllister, P. R. (1989), "A Note on Partially Replicated Orthogonal Main-Effect Plan," Technometrics, 31, 249-251.
12. Raktoe, B. L., Hedayat, A., and Federer, W. T. (1981), Factorial Designs, New York: Wiley.
13. Snee, R. D. (1985), "Experimenting With a Large Number of Variables," in Experiments in Industry: Design, Analysis and Interpretation of Results, Milwaukee, WI: American Society for Quality Control, pp. 25-35.
14. Wu, C. F. J., and Chen, Y. (1992), "A Graph-Aided Method for Planning Two-Level Experiments When Certain Interactions Are Important," Technometrics, 34, 162-174.
15. Wu, C. F. J., and Hamada, M. (2000), Experiments: Planning, Analysis, and Parameter Design Optimization, New York: Wiley.
16. Ye, K. Q., and Hamada, M. (2000), "Critical Values of the Lenth Method for Unreplicated Factorial Designs," Journal of Quality Technology, 32, 57-66.
17. Youden, W. J., and Hunter, J. S. (1955), "Partially Replicated Latin Squares," Biometrics, 11, 399-405.