Multiple testing and simultaneous confidence intervals: Calculation of constants

Computational Statistics and Data Analysis

Volumn 25, Issue 2, 1997, Pages 217-233

  Somerville, Paul N ^a  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

Interactive computing; Monte Carlo; Multiple comparisons; Multiple testing; Multivariate integral; Numerical integration; Simultaneous confidence intervals

Indexed keywords

CALCULATIONS; COMPUTER SOFTWARE; INTEGRAL EQUATIONS; INTEGRATION; INTERACTIVE COMPUTER SYSTEMS; MONTE CARLO METHODS;

CONFIDENCE INTERVALS; MULTIPLE COMPARISONS; MULTIPLE TESTING; MULTIVARIATE INTEGRAL;

STATISTICAL TESTS;

CONFIDENCE INTERVAL;

EID: 0031180197     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(97)00003-0     Document Type: Article

References (18)

1. Bofinger, E., Multiple comparisons and Type III errors, J. Amer. Statist. Assoc., 80 (1985) 433-437.
2. Dunnett, C.W., A multiple comparison procedure for comparing several treatments with a control, J. Amer. Statist. Assoc., 50 (1955) 1096-1121.
3. Dunnett, C.W., Multivariate normal probability integrals with product correlation structure, Appl. Statist., 38 (1989) 564-579.
4. Dunnett, C.W. and A.C. Tamhane, Step-down multiple tests for comparing treatments with a control in unbalanced one-way layouts, Statist. Med., 10 (1991) 939-947.
5. Dunnett, C.W. and A.C. Tamhane, A step-up multiple test procedure, J. Amer. Statist. Assoc., 87 (1992) 162-170.
6. Dunnett, C.W. and A.C. Tamhane, Step-up multiple testing of parameters with unequally correlated estimates. Biometrics, 51 (1995) 217-227.
7. Finner, H., Abgeschlossene multiple Spannweitentests (closed multiple range tests). In: P. Bauer et al. (Eds), Multiple hypothesenprüfung (multiple hypotheses testing). (Springer, Berlin, 1988) 10-32.
8. Harter, H.L. Order statistics and their use in testing and estimation, Vol. 1 (Aerospace Research Laboratories, United States Air Force, 1968).
9. Hayter, A.J., A one-sided studentized range test for testing against a simple ordered alternative, J. Amer. Statist. Assoc., 85 (1990) 778-785.
10. Hochberg, Y. and A.C. Tamhane, Multiple comparison procedures (Wiley, New York, 1987).
11. Hsu, J., Constrained simultaneous confidence intervals for multiple comparisons with the best, Ann. Statist., 12 (1984) 1136-1144.
12. Hsu, J., The Factor Analytic Approach to Simultaneous Inference in the General Linear Model, J. Graphical Computat. Statist., 1 (1992) 151-168.
13. Hsu, J., Multiple comparisons theory and methods (Chapman & Hall, London, 1996).
14. Press, W.H. et al., Numerical recipes, the art of scientific computing (Cambridge University Press, Cambridge, 1986).
15. Somerville, P.N., Exact all-pairwise multiple comparisons for the general linear model, Proc. 25th Symp. on the Interface (1993) 353-356.
16. Somerville, P.N., Multiple comparisons, Technical Report TR-94-1 (Department of Statistics, University of Central Florida, 1994).
17. Somerville, P.N. and M. Wang, Numerical computation of multivariate normal probabilities over convex regions, Proc. 26th Symp. on the Interface Computing Science and Statistics, Research Triangle Park (1994) 15-18.
18. Tukey, J.W., The problem of multiple comparisons, Mimeographed Monograph (1953).