Computation of the distribution of the maximum studentized range statistic with application to multiple significance testing of simple effects

DOI10.1080/00949658808811082zbMath0726.62130OpenAlexW1975174554MaRDI QIDQ87131

Burt Holland, Margaret Diponzio Copenhaver, Margaret Diponzio Copenhaver, Burt S. Holland

Publication date: August 1988

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949658808811082

zbMATH Keywords

Gaussian quadraturesecant methodmultiple comparisonsnormal populationssimultaneous inferencepercentage pointsmultiple significance testsmultiway analysis of variancesimultaneous confidence limitsstudentized range of meansTukey multiple comparisons procedure

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Parametric hypothesis testing (62F03) Approximations to statistical distributions (nonasymptotic) (62E17) Statistical tables (62Q05) Paired and multiple comparisons; multiple testing (62J15) Probabilistic methods, stochastic differential equations (65C99)

Related Items (6)

Range Control Charts Revisited: Simpler Tippett-like Formulae, Its Practical Implementation, and the Study of False Alarm ⋮ Some multiple comparison procedures for comparing treatments within several groups ⋮ An accurate, non-iterative approximation for studentized range quantiles ⋮ EasyDescribe ⋮ The power function of the maximum Studentized range test in a two-way design ⋮ Extension of Dunnett's multiple comparison procedure with differing sample sizes to the case of several groups

Cites Work

• Simultaneous Test Procedures--Some Theory of Multiple Comparisons
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