Sometimes Pooling for Analysis of Variance Hypothesis Tests: A Review and Study of a Split-Plot Model

American Statistician

Volumn 54, Issue 4, 2000, Pages 269-279

  Janky, Denis G ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Conditional model; Preliminary test; Response surface; Sequential test; Simulation

Indexed keywords

EID: 0034556677     PISSN: 00031305     EISSN: 15372731     Source Type: Journal    
DOI: 10.1080/00031305.2000.10474559     Document Type: Article

References (20)

1. Bancroft, T. A., and Han, C. (1980), “Inference Based on Conditionally Specified ANOVA Models Incorporating Preliminary Testing,” in Handbook of Statistics (vol. 1), ed. P. R. Krishnaiah, Amsterdam: North-Holland Publishing Company, pp. 407-441.
2. Bozivich H., Bancroft, T. A., and Hartley, H. O. (1956), “Power of Analysis of Variance Test Procedures for Certain Incompletely Specified Models,” Annals of Mathematical Statistics, 27, 1017-1043.
3. Gill, J. L. (1978), Design and Analysis of Experiments in the Animal and Medical Sciences (vol. 1), Ames, IA: The Iowa State University Press.
4. Hines, W. G. S. (1996), “Pragmatics of Pooling in ANOVA Tables,” The American Statistician, 50, 127-139.
5. Hinkelraann, K., and Kempthorne, O. (1994), Design and Analysis of Experiments, Vol. I, Introduction to Experimental Design, New York: Wiley.
6. Janky, D. G. (1997), “Pooling in ANOVA Models a Review and Simulation Study,” Technical Report ISSTECH-97-018, Boeing Information and Support Services.
7. Johnson, N. L., Kotz, S., and Balakrishnan, N. (1995), Continuous Univariate Distributions (vol. 2, 2nd ed.), New York: Wiley.
8. Kempthorne, O. (1952), The Design and Analysis of Experiments, New York: Wiley.
9. Lorenzen, T. J. (1987), “A Comparison of Approximate F Tests Under Pooling Rules,” General Motors Research Laboratories research publication GMR-5928.
10. Lorenzen, T. J., and Anderson, V. L. (1993), Design of Experiments A No-Name Approach, New York: Marcel Dekker, Inc.
11. Montgomery, D. C. (1984), Design and Analysis of Experiments (2nd ed.), New York: Wiley.
12. Mead, R., Bancroft, T. A., and Han, C. (1975), “Power of Analysis of Variance Test Procedures for Incompletely Specified Fixed Models,” The Annals of Statistics, 3, 797-808.
13. Neter, J., and Wasserman, W. (1974), Applied Linear Statistical Models, Homewood, IL: Richard D. Irwin, Inc.
14. Pauli, A. E. (1950), “On a Preliminary Test for Pooling Mean Squares in the Analysis of Variance,” Annals of Mathematical Statistics, 21, 539-556.
15. Rao, C. V., and Saxena, K. P. (1979), “A Study of Power of a Test Procedure Based on Two Preliminary Tests of Significance,” Estadística, 33, 201-214.
16. SAS Institute, Inc. (1995), JMP Statistics and Graphics Guide, version 3.1, Cary, NC: author, pp.88-91.
17. Scheffé, H. (1959), The Analysis of Variance, New York: Wiley.
18. Sokal, R. R., and Rohlf, F. J. (1969), Biometry, San Francisco: W. H. Freeman and Company.
19. Winer, B. J. (1962), Statistical Principles in Experimental Design, New York: McGraw-Hill.
20. Wolde-Tsadik, G., and Afifi, A. A. (1980), “A Comparison of the ‘Sometimes-Pool’, ‘Sometimes-Switch’, and ‘Never-Pool’ Procedures in the Two-Way ANOVA Random Effects Model,” Technometrics, 22, 367-373.