Power comparisons between the F-test,the studentised range test, and an optimal test of the equality of several normal means

References

• Cohen , J. 1988 . Statistical power analysis for the behavioral sciences , Hillsdale, N.J : Lawrence Erlbaum associates .
   Google Scholar
• David , H.A. , Lachenbruch , P.A. and Brandis , H.P. 1971 . The power function of range and Studentised range tests in normal samples . Biometrika , 59 : 161 – 168 .
   Google Scholar
• Edwards , D. and Berry , J.J. 1987 . The efficiency of simulation based multiple comparisons . Biometrics , 59 : 913 – 928 .
   Google Scholar
• Hayter , A.J. and Liu , W. 1990 . The power function of the Studentised range test . The Annals of Statistics , 18 ( 1 ) : 465 – 468 .
   Web of Science ®Google Scholar
• Hayter , A.J. and Liu , W. 1992 . “ Some minimax test procedures for comparing several normal means ” . In Multiple Comparisons in Biostatistics: Current Research in the Topics of C.W. Dunnett , N.Y : Marcel Dekker .
   Google Scholar
• Hochberg , Y. and Lachenbruch , P.A. 1976 . Two stage multiple comparison procedures based on the Studentised range . Communications in Statistics—Theory and Methods , A5 ( 15 ) : 1447 – 1453 .
   Google Scholar
• Hurn , M.A. 1989 . A study of the power functions of some optimal simultaneous inference procedures by exact evaluation and simulation techniques , Bath, U.K : University of Bath . MSc Dissertation, School of Mathematical Sciences
   Google Scholar
• Kastenbaum , M.A. , Hoel , D.G. and Bowman , K.O. 1970 . Sample size requirements: one-way analysis of variance . Biometrika , 57 : 421 – 430 .
   Web of Science ®Google Scholar
• Scheffe , H. 1959 . The analysis of variance , New York : Wiley .
   Google Scholar