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Tables and applications of the Bonferroni t-statistics: A revision of Dunn’s simultaneous t-tests. (English) Zbl 0565.62100

Tables for Bonferroni-adjusted significance levels of Student’s t are provided for \(r=3(1)30(5)50\) etc. and alphas of 0.05, 0.01 and 0.001. The tables are suggested for various applications, for example in replacing analysis of variance of k samples by r simultaneous t tests. Use of the tables is shown by numerical examples.

MSC:

62Q05 Statistical tables
62J15 Paired and multiple comparisons; multiple testing
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References:

[1] 1967: Varianzanalyse. Berlin: Akademie-Verlag, WTB, Bd. 49. · Zbl 0155.27004
[2] Bailey, J. Amer. Statist. Assoc. 72 pp 469– (1977)
[3] Buck, Arzneimittelforschung 25 pp 825– (1975)
[4] Cban, Appl. Statist. 25 pp 111– (1977)
[5] Duncan, Biometrics 11 pp 1– (1955)
[6] Dunn, J. Amer. Statist. Assoc. 56 pp 52– (1961)
[7] Dunnett, J. Amer. Statist. Assoc. 50 pp 1096– (1955)
[8] Federighi, J. Amer. Statist. Assoc. 54 pp 683– (1959)
[9] (Hrsg.), 1981: Simultane Hypothesenprüfung. Biom. Seminar der ROES in Bad Ischl. Basel: Sandoz-AG.
[10] 1949: The design of experiments. Oliver + Boyd, Edinburgh. 5th ed., 56–58.
[11] Fuchs, J. Amer. Statist. Assoc. 75 pp 395– (1980)
[12] Gabriel, Biometrics 20 pp 459– (1964)
[13] Games, J. Amer. Statist. Assoc. 72 pp 531– (1977)
[14] Holm, Scandin. J.Statist. 6 pp 65– (1979)
[15] 1980: The analysis of covariance and alternatives. J.Wiley & Sons, New York. · Zbl 0566.62062
[16] Keuls, Euphytical 1 pp 112– (1952)
[17] 1968: Experimental design procedures for the behavioral sciences. Brooks & Cole, Belmont/Ca. · Zbl 0414.62054
[18] Lienert, Biom. J. 24 pp 239– (1982)
[19] Majumder, Appl. Statist. 22 pp 409– (1973)
[20] 1966: Simultaneous statistical inference. Mc. Graw-Hill, New York, London.
[21] Miller, J. Amer. Statist. Assoc. 72 pp 779– (1977)
[22] Newman, Biometrika 31 pp 20– (1939) · Zbl 0022.25004 · doi:10.1093/biomet/31.1-2.20
[23] Ryan, Psychol. Bull. 57 pp 318– (1960)
[24] Scheffé, Biometrika 40 pp 87– (1953)
[25] Sidák, J. Amer. Statist. Assoc. 62 pp 626– (1967)
[26] 1961: Tables for the distribution and density function of t-distribution (Student’s distribution). Pergamon Press, Oxford.
[27] , 1967: Statistical Methods. 6th ed., Iowa State University Press, Iowa.
[28] 1981: Tests zum multiplen Niveau. Biom. Sem. d. ROES, Bad Ischl (A), 1981 in FERNER (1981).
[29] 1953: The problem of multiple comparisons. Unpublished manuscript.
[30] Wilkinson, Psych. Bull. 48 pp 156– (1951)
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