Robust pairwise multiple comparisons under short-tailed symmetric distributions

References

• A.D. Akkaya, M.L. Tiku, Robust estimation and hypothesis testing under short-tailedness and inliers, Test 14 (1) (2005), pp. 129–150. doi: 10.1007/BF02595400
   Web of Science ®Google Scholar
• A.D. Akkaya and M.L. Tiku, Autoregressive models with short-tailed symmetric distributions, Statistics 42 (3) (2008), pp. 207–221. doi: 10.1080/02331880701736663
   Web of Science ®Google Scholar
• A.D. Akkaya and M.L. Tiku, Short-tailed distributions and inliers, Test 17 (2) (2008), pp. 282–296. doi: 10.1007/s11749-006-0032-8
   Web of Science ®Google Scholar
• D.F. Andrews, P.J. Bickel, F.R. Hampel, P.J. Huber, W.H. Rogers, and J.W. Tukey, Robust Estimates of Location, Princeton University Press, Princeton, NJ, 1972.
   Google Scholar
• S. Balci, Pairwise multiple comparisons under short-tailed symmetric distributions, M. Sc. thesis, Middle East Technical University, Ankara, 2007.
   Google Scholar
• G.K. Bhattacharyya, The asymptotics of maximum likelihood and related estimators based on Type II censored data, J. Amer. Statist. Assoc. 80 (1985), pp. 398–404. doi: 10.1080/01621459.1985.10478130
   Web of Science ®Google Scholar
• F. Bretz, T. Hothorn, and P. Westfall, Multiple Comparisons Using R, Chapman and Hall/CRC, Boca Raton, FL, 2010.
   Google Scholar
• N.R. Draper, H. Smith, Applied Regression Analysis, 2nd ed., Wiley, New York, 1981.
   Google Scholar
• E.J. Dudewicz, E.C. Van Der Meulen, Entrophy based tests of uniformity, J. Amer. Statist. Assoc. 76 (1981), pp. 967–974. doi: 10.1080/01621459.1981.10477750
   Web of Science ®Google Scholar
• D.B. Duncan, Multiple range tests for correlated and heteroscedastic means, Biometrics 13 (1957), pp. 164–176. doi: 10.2307/2527799
   Web of Science ®Google Scholar
• C.W. Dunnett, Pairwise multiple comparisons in the unequal variance case, J. Amer. Statist. Assoc. 75 (1980), pp. 796–800. doi: 10.1080/01621459.1980.10477552
   Web of Science ®Google Scholar
• C.W. Dunnett, Robust multiple comparisons, Commun. Statist.–Theory Methods 11 (22) (1982), pp. 2611–2629. doi: 10.1080/03610928208828410
   Web of Science ®Google Scholar
• L.R. Elveback, C.L. Guillier, and F.R. Keating, Health, normality and the ghost of gauss, J. Amer. Med. Assoc. 211 (1970), pp. 69–75. doi: 10.1001/jama.1970.03170010023004
   PubMed Web of Science ®Google Scholar
• A.M. Gross, Confidence interval robustness with long-tailed symmetric distributions, J. Amer. Statist. Assoc. 71 (1976), pp. 409–416. doi: 10.1080/01621459.1976.10480359
   Web of Science ®Google Scholar
• P.J. Huber, Robust Statistics, Wiley, New York, 1981.
   Google Scholar
• B.L. Joiner, J.R. Rosenblatt, Some properties of the range in samples from Tukey's symmetric lambda distributions, J. Amer. Statist. Assoc. 66 (1971), pp. 394–399. doi: 10.1080/01621459.1971.10482275
   Web of Science ®Google Scholar
• C.Y. Kramer, Extension of multiple range tests to group means with unequal numbers of replications, Biometrics 13 (1956), pp. 13–18. doi: 10.2307/3001898
   Web of Science ®Google Scholar
• R.-F. Lee and D.-Y. Huang, On some data oriented robust estimation procedures for means, J. Appl. Stat. 30 (2003), pp. 625–634. doi: 10.1080/0266476032000053727
   Web of Science ®Google Scholar
• E.S. Pearson, M.L. Tiku, Some notes on the relationship between the distributions of central and non-central F, Biometrika 57 (1970), pp. 175–179. doi: 10.1093/biomet/57.1.175
   Web of Science ®Google Scholar
• E. Spjotvoll and A.H. Aastveit, Comparison of robust estimators on some data from field experiments, Scand. J. Statist. 7 (1980), pp. 1–13.
   Web of Science ®Google Scholar
• A.C. Tamhane, A comparison of procedures for multiple comparisons, J. Amer. Statist. Assoc. 74 (1979), pp. 471–480.
   Web of Science ®Google Scholar
• M.L. Tiku, Estimating the mean and standard deviation from censored normal samples, Biometrika 54 (1967), pp. 155–165. doi: 10.1093/biomet/54.1-2.155
   PubMed Web of Science ®Google Scholar
• M.L. Tiku and A.D. Akkaya, Robust Estimation and Hypothesis Testing, New Age International Publishers (Wiley Eastern), New Delhi, 2004.
   Google Scholar
• M.L. Tiku and R.P. Suresh, A new method of estimation for location and scale parameters, J. Stat. Plan. Inf. 30 (1992), pp. 281–292. doi: 10.1016/0378-3758(92)90088-A
   Web of Science ®Google Scholar
• M.L. Tiku and D.C. Vaughan, A family of short-tailed symmetric distributions, Technical Report, McMaster University, Canada, 1999.
   Google Scholar
• M.L. Tiku, W.Y. Tan, and N. Balakrishnan, Robust Inference, Marcel Dekker, New York, 1986.
   Google Scholar
• J.W. Tukey, The Problem of Multiple Comparisons, Princeton University, Department of Mathematics, Princeton, NJ, 1953.
   Google Scholar
• J.W. Tukey, D.H. McLaughlin, Less vulnerable confidence and significance procedures for location based on a single sample: Trimming/Winsorization I. Sankhya, Ser. A 25 (1963), pp. 331–352.
   Google Scholar
• D.C. Vaughan and M.L. Tiku, Estimation and hypothesis testing for a non-normal bivariate distribution with applications, J. Math. Comput. Model. 32 (2000), pp. 53–67. doi: 10.1016/S0895-7177(00)00119-9
   Web of Science ®Google Scholar