Improved simultaneous confidence intervals for linear contrasts and regression parameters

References

• Bechhofer , R. E. and Dunnett , C. W. 1982 . Multiple comparisons for orthogonal contrasts: Examples and tables . Technometrics , 24 : 213 – 222 .
   Web of Science ®Google Scholar
• Cors nish , E. A. 1954 . The multivariate t-distribution associated with a set of normal sample deviates . Australian Journal of Physics , 7 : 531 – 542 .
   Google Scholar
• Dunnett , C. W. 1964 . New tables for multiple comparisons with a control . Biometrics , 20 : 482 – 491 .
   Web of Science ®Google Scholar
• Dunnett , C. W. and Sobel , M. 1954 . A bivariate generalization of Student's t-distribution, with tables for certain special cases . Biometrika , 41 : 153 – 169 .
   Web of Science ®Google Scholar
• Dunnett , C. W. and Sobel , M. 1955 . Appoximations to the probability integral and certain percentage points of a multivariate analogue of Student's t-distribution . Biometrika , 42 : 258 – 260 .
   Web of Science ®Google Scholar
• Dunn , 0. J. and Massey , F. J. 1965 . Estimation of multiple contrasts using t-distributions . Journal of the American Statistical Association , 60 : 573 – 583 .
   Web of Science ®Google Scholar
• Games , P. A. 1977 . An improved t table for simultaneous control on g contrasts . Journal of the American Statistical Association , 72 : 531 – 534 .
   Web of Science ®Google Scholar
• Gupta , S. S. , Panchapakesan , S. and Sohn , J. K. 1985 . On the distribution of the Studentized maximum of equally correlated normal random variables . Communications in Statistics --Simulation and Computation , 14 : 103 – 135 .
   Web of Science ®Google Scholar
• Hahn , G. J. and Hendrickson , R. W. 1971 . A table of percentage points of the distribution of the largest absolute value of k student t variates and its applications . Biometrika , 58 : 323 – 332 .
   Web of Science ®Google Scholar
• 1971 . “ Scientific subroutine package ” . In Version III , While Plains, New York : IBM corporation .
   Google Scholar
• 1975 . IMSL Library 1 , Vol. II , Houston : International mathematical and statistical libraries .
   Google Scholar
• Johnson , N. and Kotz , S. 1972 . (1972) Distribution in Statistics: Multivariate Distributions , New York : Wiley .
   Google Scholar
• Nelson , P. R. 1982 . Multivariate normal and t distribution with ρjk:=αj:αk:. Communications in Statistics . Simulation and Computation , 11 : 239 – 248 .
   Web of Science ®Google Scholar
• Pillai , K. C. S. and Ramachandran , K. V. 1954 . On the distribution of the ratio of the ith observation in an ordered sample from a normal population to an independent estimate of the standard deviation . Annals of Mathematical Statistics , 25 : 565 – 572 .
   Google Scholar
• Sidak , Z. 1968 . On multivariate normal probabilities of rectangles Their dependence on correlations . Annals of Mathematical Statistics , 39 : 1425 – 1434 .
   Google Scholar
• Steffens , F. E. 1969 . Critical values for bivariate Student t-tests . Journal of the American Statistical Association , 64 : 637 – 646 .
   Web of Science ®Google Scholar
• Tong , Y. L. 1980 . Probability Inequalities in Multivariate Distributions , New York : Academic Press .
   Google Scholar