Sample sizes for comparisons of k treatments with a control based on different definitions of the power

Biometrical Journal

Volumn 40, Issue 5, 1998, Pages 589-612

  Horn, Manfred ^a   Vollandt, Rüdiger ^a  

^a JENA UNIVERSITY HOSPITAL   (Germany)

Author keywords

Dunnett's test; Least favorable constellation; Multiple t test; Power in multiple comparisons; Sample size determination

Indexed keywords

DUNNETT TEST; LEAST FAVORABLE CONSTELLATION; MULTIPLE COMPARISON; MULTIPLE T-TEST; POWER; POWER IN MULTIPLE COMPARISON; SAMPLE SIZE DETERMINATION; SAMPLE SIZES; T-TESTS;

SAMPLING;

EID: 0032349164     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4036(199809)40:5<589::AID-BIMJ589>3.3.CO;2-%23     Document Type: Article

References (20)

1. BECHHOFER, R. E. and DUNNETT, C. W., 1988: Percentage points of multivariate Student t distributions. Selected Tables in Mathematical Statistics 11. American Mathematical Society, Providence.
2. BECHHOFER, R. E., SANTNER, J. T., and GOLDSMAN, D. M., 1995: Design and analysis of experiments for statistical selection, screening, and multiple comparisons. Wiley, New York.
3. BRISTOL, D. R., 1989: Designing clinical trials for two-sided multiple comparisons with a control. Controlled Clinical Trials 10, 142-152.
4. CARMER, S. G. and WALKER, W. M., 1982: Baby bear's dilemma: A statistical tale. Agronomy J. 74, 122-124.
5. CHEW, V., 1976: Comparing treatment means: A compendium. Hort. Science 11, 348-357.
6. DUNNETT, C. W., 1955: A multiple comparison procedure for comparing several treatments with a control. JASA 50, 1096-1121.
7. DUNNETT, C. W., 1964: New tables for multiple comparisons with a control. Biometrics 20, 482-491.
8. DUNNETT, C. W., 1989: Multivariate normal probability integrals with product correlation structure; Algorithm AS 251. Applied Statistics 38, 546-579.
9. DUNNETT, C. W. and TAMHANE, A. C., 1992: A step-up multiple test procedure. JASA 87, 162-170.
10. EINOT, I. and GABRIEL, K. R., 1975: A study of the powers of several methods of multiple comparisons. JASA 70, 574-583.
11. GIBSON, J. M. and OVERALL, J. E., 1989: The superiority of a drug combination over each of its components. Statistics in Medicine 8, 1479-1484.
12. HAYTER, A. J. and LIU, W., 1992: A method of power assessment for tests comparing several treatments with a control. Commun. Statist. - Theory Meth. 21, 1871-1889.
13. HAYTER, A. J. and TAMHANE, A. C., 1991: Sample size determination for step-down multiple test procedures: Orthogonal contrasts and comparisons with a control. J. Statist. Planning and Inference 27, 271-290.
14. HOCHBERG, Y. and TAMHANE, A. C., 1987: Multiple Comparison Procedures. Wiley, New York.
15. HORN, M. and VOLLANDT, R., 1995: Multiple Tests und Auswahlverfahren. Gustav Fischer Verlag, Stuttgart, Jena, New York.
16. Hsu, J. C., 1989: Sample size computation for designing multiple comparison experiments. Computational Statistics & Data Analysis 7, 79-91.
17. LIU, W., 1997: On sample size determination of Dunnett's procedure for comparing several treatments with a control. J. Statist. Planning and Inference 62, 255-261.
18. RAMSEY, P. H., 1978: Power differences between pairwise multiple comparisons. Comments. JASA 73, 479-487.
19. SAVILLE, D. J., 1990: Multiple comparison procedures: The practical solution. The American Statistician 44, 174-180.
20. TUKEY, J. W., 1953: The problem of multiple comparisons. Mimeographed monograph. Princeton University, Princeton NY.