A robust procedure for comparing multiple means under heteroscedasticity in unbalanced designs

PLoS ONE

Volumn 5, Issue 3, 2010, Pages

  Herberich, Esther ^a   Sikorski, Johannes ^b   Hothorn, Torsten ^a  

^a UNIVERSITY OF MUNICH   (Germany)

^b LEIBNIZ INSTITUTE DSMZ GERMAN COLLECTION OF MICROORGANISMS AND CELL CULTURES   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FATTY ACID;

ALGORITHM; ANALYSIS OF VARIANCE; ARTICLE; BACILLUS; CHEMISTRY; COMPUTER; COMPUTER LANGUAGE; COMPUTER PROGRAM; COMPUTER SIMULATION; GENETICS; LABORATORY DIAGNOSIS; METABOLISM; MICROBIOLOGY; PHENOTYPE; REPRODUCIBILITY; STATISTICAL MODEL;

ALGORITHMS; ANALYSIS OF VARIANCE; BACILLUS; COMPUTER SIMULATION; COMPUTERS; ENVIRONMENTAL MICROBIOLOGY; FALSE POSITIVE REACTIONS; FATTY ACIDS; MODELS, STATISTICAL; PHENOTYPE; PROGRAMMING LANGUAGES; REPRODUCIBILITY OF RESULTS; SOFTWARE;

EID: 79952116772     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0009788     Document Type: Article

References (23)

1. Boyd WA, McBride SJ, Freedman JH (2007) Effects of genetic mutations and chemical exposures on Caenorhabditis elegans feeding: Evaluation of a novel, highthroughput screening assay. PLoS ONE 2(12): e1259. doi:10.1371/journal. pone.0001259.
2. Glezer I, Chernomoretz A, David S, Plante MM, Rivest S (2007) Genes involved in the balance between neuronal survival and death during inflammation. PLoS ONE 2(3): e310. doi:10.1371/journal.pone.0000310.
3. Xu J, Knutson MD, Carter CS, Leeuwenburgh C (2008) Iron accumulation with age, oxidative stress and functional decline. PLoS ONE 5(2): e1000294. doi:10.1371/journal.pcbi.1000294.
4. Bohbot JD, Dickens JC (2009) Characterization of an enantioselective odorant receptor in the yellow fever mosquito Aedes aegypti. PLoS ONE 4(9): e7032. doi:10.1371/journal.pone.0007032.
5. Sarantseva S, Timoshenko S, Bolshakova O, Karaseva E, Rodin D, et al. (2009) Apolipoprotein e-mimetics inhibit neurodegeneration and restore cognitive functions in a transgenic drosophila model of alzheimer's disease. PLoS ONE 4(12): e8191. doi:10.1371/journal.pone.0008191.
6. Tukey JW (1953) The problem of multiple comparisons. Dittoed manuscript of 386 pagesNew Jersey: Department of Statistics, Princeton University.
7. Dunnett CW (1955) A multiple comparison procedure for comparing several treatments with a control. J Roy Statistical Society 50: 1096-1121.
8. Hollander M, Wolfe DA (1999) Nonparametric Statistical Methods, 2nd Edition Wiley Series in Probability and Statistics. Wiley-Interscience.
9. Weerahandi S (1995) ANOVA under unequal variances. Biometrics 51: 589-599.
10. Lee S, Ahn C (2003) Modified ANOVA for unequal variances. Commun Stat, Simulation Comput 32: 987-1004.
11. Xu L, Wang S (2008) A new generalized p-value and its upper bound for ANOVA under unequal error variances. Commun Stat, Theory Methods 37: 1002-1010.
12. Bathke AC, Harrar SW, Madden LW (2009) Greenhouse-Geisser adjustment and the ANOVA-type statistic: Cousins or twins? Amer Statistician 63: 239-246.
13. Hothorn T, Bretz F, Westfall P (2008) Simultaneous inference in general parametric models. Biom J 50: 346-363.
14. Sikorski J, Nevo E (2005) Adaptation and incipient sympatric speciation of Bacillus simplex under microclimatic contrast at "Evolution Canyons" I and II, Israel. Proc Natl Acad Sci USA 102: 15924-15929.
15. Sikorski J, Pukall R, Stackebrandt E (2008a) Carbon source utilization patterns of Bacillus simplex ecotypes do not reflect their adaptation to ecologically divergent slopes in "Evolution Canyon", Israel. FEMS Microbiol Ecol 66: 38-44.
16. Koeppel A, Perry EB, Sikorski J, Krizanc D, Warner A, et al. (2008) Identifying the fundamental units of bacterial diversity: a paradigm shift to incorporate ecology into bacterial systematics. Proc Natl Acad Sci USA 105: 2504-2509.
17. Sikorski J, Brambilla E, Kroppenstedt RM, Tindall BJ (2008b) The temperature adaptive fatty acid content in Bacillus simplex strains from "Evolution Canyon", Israel. Microbiology 154: 2416-2426.
18. MacKinnon JG, White H (1985) Some heteroscedasticity consistent covariance with improved finite sample properties. J Econometrics 29: 53-57.
19. Long JS, Ervin LH (2000) Using heteroscedasticity consistent standard errors in the linear regression model. Amer Statistician 54: 217-224.
20. Cohan F, Perry EB (2007) A systematics for discovering the fundamental units of bacterial diversity. Curr Biol 17: 373-386.
21. R Development Core Team (2009) R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. URL http://www.R-project.org. ISBN 3-900051-07-0.
22. Hothorn T, Bretz F, Westfall P (2009) multcomp: Simultaneous Inference for General Linear Hypotheses. URL http://CRAN.R-project.org/package = multcomp. R package version 1.0-7.
23. Zeileis A (2006) Object-oriented computation of sandwich estimators. J Stat Software 16: 1-16.