Structural properties of UMPU-tests for \(2\times 2\) tables and some applications
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Publication:1600745
DOI10.1016/S0378-3758(01)00122-7zbMath0989.62013MaRDI QIDQ1600745
Klaus Strassburger, Helmut Finner
Publication date: 16 June 2002
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
variation diminishing propertytotally positiveunimodalitypower controluniformly most powerful unbiased testssample size calculationtwo by two tablesleast favorable parameter configurationBoschloo's testextended hypergeometric distributionFisher's exact testsods ratiotwo-sided hypothesis
Parametric hypothesis testing (62F03) Characterization and structure theory of statistical distributions (62E10) Statistical decision theory (62C99)
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Cites Work
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- Verbesserung des nicht-randomisierten exakten Testes von R. A. Fisher. (Improvement of the nonrandomized exact test of R. A. Fisher)
- Mechanizing hypothesis formation. Mathematical foundations for a general theory
- In dispraise of the exact test: Do the marginal totals of the \(2\times 2\) table contain relevent information respecting the table proportions?
- Comment on J. Berkson's paper In dispraise of the exact test
- Discussion of Joseph Berkson's paper In dispraise of the exact test
- On determining the \(P\)-value in \(2\times 2\) multinomial trials
- Test of Significance for 2 × 2 Contingency Tables
- Variation Diminishing Transformations: A Direct Approach to Total Positivity and its Statistical Applications
- Actual Type 1 Error Probabilities for Various Tests in the Homogeneity Case of the 2×2 Contingency Table
- A Nonrandomized Unconditional Test for Comparing Two Proportions in 2×2 Contigency Tables
- Unconditional Non-Asymptotic One-Sided Tests for Independent Binomial Proportions When the Interest Lies in Showing Non-Inferiority and/or Superiority
- Properties of the Extended Hypergeometric Distribution
- Raised conditional level of significance for the 2 × 2‐table when testing the equality of two probabilities
- A Quadratically Convergent Newton-Like Method Based Upon Gaussian Elimination
- THE MEANING OF A SIGNIFICANCE LEVEL
- EXTENSION OF THE NEYMAN-PEARSON THEORY OF TESTS TO DISCONTINUOUS VARIATES
- A New Test for 2 × 2 Tables
- Inequalities: theory of majorization and its applications
- Increasing sample sizes do not always increase the power of UMPU-tests for \(2\times 2\) tables