Multiple treatment comparisons in linear models when the standard error of a difference is not constant

Biometrical Journal

Volumn 42, Issue 7, 2000, Pages 823-835

  Piepho, H P ^a  

^a UNIVERSITY OF KASSEL   (Germany)

Author keywords

Analysis of variance (ANOVA); Generalized linear model (GLM); Linear mixed model (LMM); Linear model (LM); Pairwise treatment comparison; Restricted maximum likelihood (REML); Standard error of a difference (SED); Traveling salesman problem; Unbalancedness

Indexed keywords

ANALYSIS OF VARIANCE (ANOVA); ERRORS; MAXIMUM LIKELIHOOD ESTIMATION;

ANALYSE-OF-VARIANCE; GENERALIZED LINEAR MODEL; LINEAR MIXED MODEL; LINEAR MIXED MODELS; LINEAR MODEL; LINEAR MODELING; PAIRWISE TREATMENT COMPARISON; RESTRICTED MAXIMUM LIKELIHOOD; STANDARD ERROR OF A DIFFERENCE; STANDARD ERRORS; UNBALANCEDNESS;

TRAVELING SALESMAN PROBLEM;

EID: 0034356674     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/1521-4036(200011)42:7<823::AID-BIMJ823>3.0.CO;2-B     Document Type: Review

References (20)

1. ANDREWS, H. P., SNEE, R. D., and SARNER, M. H., 1980: Graphical display of means. The American Statistician 34, 195-199.
2. BANCROFT, T. A., 1968: Topics in intermediate statistical methods. Iowa State University Press, Ames.
3. DORIGO, M., and GAMBARDELLA, L. M., 1997: Ant colonies for the traveling salesman problem. BioSystems 43, 73-81.
4. DUNCAN, D. B., 1955: Multiple range and multiple F-tests. Biometrics 11, 1-42.
5. EDWARDS, D. G. and BERRY, J. J., 1987: The efficiency of simulation-based multiple comparisons. Biometrics 43, 913-928.
6. GABRIEL, K. R., 1978: A simple method of multiple comparisons of means. Journal of the American Statistical Association 73, 724-729.
7. GIESBRECHT, F. G. and BURNS, J. C., 1985: Two-stage analysis based on a mixed model: large-sample asymptotic theory and small-sample simulation results. Biometrics 41, 477-486.
8. HOCHBERG, Y., WEISS, G., and HART, S., 1982: On graphical procedures for multiple comparisons. Journal of the American Statistical Association 77, 767-772.
9. HOCHBERG, Y. and TAMHANE, A., 1987: Multiple comparison procedures. Wiley, New York.
10. HOLM, S., 1979: A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics 6, 65-70.
11. HOMMEL, G. and BERNHARD, G. 1999: Bonferroni procedures for logically related hypotheses. Journal of Statistical Planning and Inference 82, 119-128.
12. HSU, J. C., 1996: Multiple comparisons. Theory and methods. Chapman and Hall, London.
13. HSU, J. C. and NELSON, B., 1998: Multiple comparisons in the general linear model. Journal of Computational and Graphical Statistics 7, 23-41.
14. LIU, B. H., 1998: Statistical genomics. CRC Press, Boca Raton.
15. MILLER, D. L. and PEKNY, J.F., 1991: Exact solution of large asymmetric traveling salesman problems. Science 251, 754-761.
16. SAS INSTITUTE, INC., 1997: SAS/STAT software: changes and enhancements through release 6.12. SAS Institute Inc., Cary, NC.
17. SHAFFER, J. P., 1986: Modified sequentially rejective test procedures. Journal of the American Statistical Association 81, 826-831.
18. STEEL, R. G. D. and TORRIE, J. H., 1980: Principles and procedures of statistics. A biometrical approach, 2nd edition. McGraw-Hill, New York.
19. WEIR, B., 1996: Genetic data analysis II. Sinauer, Sunderland.
20. WESTFALL, P. H., and YOUNG, S. S., 1993: Resampling-based multiple testing: examples and methods for P-value adjustment. Wiley, New York.