Stepwise multiple test procedures and control of directional errors
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Publication:1807169
DOI10.1214/aos/1018031111zbMath0978.62057OpenAlexW1543230487MaRDI QIDQ1807169
Publication date: 9 November 1999
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1018031111
F-testvariation diminishing propertyfamilywise error ratemultiple comparisonsunimodalitytype III errormultiple hypotheses testingdirectional errorclosure principleclosed multiple test proceduresmultiple level of significancestep-down proceduresstep-up proceduresstepwise multiple test procedurestotally positive of order 3
Parametric hypothesis testing (62F03) Statistical ranking and selection procedures (62F07) Paired and multiple comparisons; multiple testing (62J15)
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Cites Work
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- Multiple testing of pairs of one-sided hypotheses
- Control of directional errors with stagewise multiple test procedures
- Buying with exact confidence
- Optimum significance levels for multistage comparison procedures
- Control of directional errors with step-up multiple tests
- On the modified s-method and directional errors
- A stagewise rejective multiple test procedure based on a modified Bonferroni test
- A sharper Bonferroni procedure for multiple tests of significance
- Variation Diminishing Transformations: A Direct Approach to Total Positivity and its Statistical Applications
- On closed testing procedures with special reference to ordered analysis of variance
- A Note on a Reformulation of the S-Method of Multiple Comparison
- Stepwise Multiple Comparison Procedures
- On the Relationship Between Stepwise Decision Procedures and Confidence Sets
- An improved Bonferroni procedure for multiple tests of significance
- The Logic of Inductive Inference
- Multiple Testing Versus Multiple Estimation. Improper Confidence Sets. Estimation of Directions and Ratios
- A $k$-Sample Slippage Test for an Extreme Population
- Some Principles of the Theory of Testing Hypotheses
