Using the Fast Fourier Transform to Compute Multiple Comparisons With the Best and Subset Selection Critical Values

Bibliography

• Bechhofer , Robert E. 1954 . A single-sample multiple decision procedure for ranking means of normal populations with known variances . Ann. Math. Statist. , 25 : 16 – 39 .
   Google Scholar
• Bechhofer , Robert E. and Dunnett , Charles W. 1988 . “ Selected Tables in Mathematical Statistics ” . In Percentage Points of Multivariate Student t Distributions , Vol. 11 , Providence Rhode Island : American Mathematical Society .
   Google Scholar
• Best , D. J. and Roberts , D. E. 1975 . Algorithm AS 91: The percentage points of the χ2 distribution . Applied Statistics , 24 : 385 – 388 .
   Google Scholar
• Bhattacharjee , G. P. 1970 . Algorithm AS 32: The incomplete gamma integral . Applied Statistics , 19 : 285 – 287 .
   Web of Science ®Google Scholar
• Cray Research, Inc . 1988 . Programmer's Library Reference Manual , Mendota Heights , MN : Cray Research, Inc. . SR-0113C
   Google Scholar
• Cooley , J. W. and Tukey , John W. 1965 . An algorithm for the machine calculation of complex Fourier series . Mathematical Computations , 19 : 297 – 301 .
   Web of Science ®Google Scholar
• Dunnett , Charles W. 1955 . A multiple comparison procedure for comparing several treatments with a control . Jour. Am. Statist. Assoc. , 50 : 1096 – 1121 .
   Web of Science ®Google Scholar
• Gupta , Shanti S. 1956 . “ On a decision rule for a problem in ranking means ” . Chapel Hill , NC : Univ. of North Carolina . Inst. of Statist. Mimeo. Ser. No. 150
   Google Scholar
• Gupta , Shanti S. 1965 . On some multiple decision (selection and ranking) rules . Technometrics , 7 : 225 – 245 .
   Web of Science ®Google Scholar
• Hill , I. D. 1973 . Algorithm AS 66: The normal integral . Applied Statistics , 22 : 424 – 427 .
   Web of Science ®Google Scholar
• Hsu , Jason C. 1981 . Simultaneous confidence intervals for all distances from the best . Annals of Statistics , 9 : 1026 – 1034 .
   Web of Science ®Google Scholar
• Hsu , Jason C. 1984a . “ Ranking and Selection and Multiple Comparisons with the Best ” . In Design of Experiments: Ranking and Selection , Edited by: Thomas , J. Santner and Ajit C. , Tamhane . Vol. 3 , 23 – 33 . New York : Marcel Dekker .
   Google Scholar
• Hsu , Jason C. 1984b . Constrained two-sided simultaneous confidence intervals for multiple comparisons with the best . Annals of Statistics , 12 : 1136 – 1144 .
   Web of Science ®Google Scholar
• Odeh , R. E. and Evans , J. O. 1974 . Algorithm AS 70 . Applied Statistics , 23 : 96 – 97 .
   Web of Science ®Google Scholar
• Press , William H. , Flannery , Brian P. , Teukolsky , Saul A. and Vetterling , William T. 1986 . Numerical Recipes , Cambridge : Cambridge University Press .
   Google Scholar
• Swarztrauber , Paul N. 1984 . FFT algorithms for vector computers . Parallel Computing , 1 : 45 – 63 .
   Web of Science ®Google Scholar
• Tong , Y. L. 1980 . Probability Inequalities in Multivariate Distributions , New York : Academic Press .
   Google Scholar
• Tukcy , J. W. 1953 . “ The problem of multiple comparisons ” . In Dittoed manuscript of 396 pages , Princeton University .
   Google Scholar
• Weaver , H. Joseph . 1989 . Theory of Discrete and Continuous Fourier Analysis , New York : Wiley .
   Google Scholar