More Powerful Tests from Confidence Interval<i>p</i>Values

Roger L. Berger

Type: Article

Publication Date: 1996-11-01

Citations: 57

DOI: https://doi.org/10.1080/00031305.1996.10473559

Abstract

Abstract In this article the problem of comparing two independent binomial populations is considered. It is shown that the test based on the confidence interval p value of Berger and Boos often is uniformly more powerful than the standard unconditional test. This test also requires less computational time.

Locations

The American Statistician - View
NCSU Libraries Repository (North Carolina State University Libraries) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	More Powerful Tests from Confidence Interval p Values	1996	Roger L. Berger
+	Improved<i>p</i>-Value Tests for Comparing Two Independent Binomial Proportions	2008	Che‐Yang Lin Ming‐Chung Yang
+	The exact unconditional<i>z</i>-pooled test for equality of two binomial probabilities: optimal choice of the Berger and Boos confidence coefficient	2011	Stian Lydersen Mette Langaas Øyvind Bakke
+	Multiple Comparisons and P Values	1991	Warren S. Browner
+	Unconditional Confidence Interval for the Difference between Two Proportions	2003	Antonio Martín Andrés I. Herranz Tejedor
+ PDF Chat	Confidence intervals and <i>p</i> ‐values	2014	Richard Kay
+ PDF Chat	Reconnecting<i>p</i>-Value and Posterior Probability Under One- and Two-Sided Tests	2020	Haolun Shi Guosheng Yin
+	<i>P</i> Values	2005	Chris Dracup
+ PDF Chat	Statement on <i>P</i>-values	2021	Thomas Gwise Mark Rothmann Hung Hung Anup Amatya Rebecca Rothwell Sue Jane Wang Yute Wu Fraser Smith Yu-Ting Weng Eugenio Andraca‐Carrera
+ PDF Chat	Simple methods for estimating confidence levels, or tentative probabilities, for hypotheses instead of <i>p</i> values	2019	Michael Wood
+	A Note on Confidence Intervals for a Binomial <i>p</i>: Andersson–Nerman vs. Wilson	2024	Per Gösta Andersson
+	Equivalence Testing for Binomial Random Variables	2001	Lawrence Barker Henry Rolka Deborah B. Rolka Cedric Brown
+	Problems with Existing Procedures to Calculate Exact Unconditional P‐Values for Non‐Inferiority/Superiority and Confidence Intervals for Two Binomials and How to Resolve Them	2005	Joachim Röhmel
+	Improved<i>P</i>-Values for Testing Marginal Homogeneity in 2 × 2 Contingency Tables	2009	Lee‐Shen Chen Ming‐Chung Yang
+	Approximate Confidence Intervals for a Binomial p—Once Again	2022	Per Gösta Andersson
+ PDF Chat	Estimating the proportion of null hypotheses based on conditional distribution for arbitrarily correlated <i>p</i>-values	2025	Junsik Kim
+	Improved Confidence Statements for the Binomial Parameter	1984	John E. Angus Ray E. Schafer
+ PDF Chat	SAMPLE SIZE DETERMINATION BASED ON MID-P VALUE FOR USE WITH THE TESTING IN 2^\|^times;2 COMPARATIVE TRIALS	1994	Manabu Iwasaki Takuo Tanida
+	Unconditional exact tests for the difference of binomial probabilities—contrasted and compared	2003	Guido Skipka Axel Munk G Freĭtag
+	Exact tests of binomial p=1/2 when one binomial event possibly has different probability	1971	John E. Walsh Grace J. Kelleher

Works That Cite This (32)

Action	Title	Year	Authors
+	Fisher's Mid-P-value arrangement in 2×2 Comparative trials	1998	Antonio Martín Andrés M.J. Sánchez Quevedo A. Silva Mato
+	The size of the Cochran–Armitage trend test in contingency tables	2006	Seung-Ho Kang Jae‐Won Lee
+ PDF Chat	Asymptotic Tests of Composite Hypotheses	2003	Peter Reinhard Hansen
+	Improved<i>p</i>-Value Tests for Comparing Two Independent Binomial Proportions	2008	Che‐Yang Lin Ming‐Chung Yang
+	Test‐Based Exact Confidence Intervals for the Difference of Two Binomial Proportions	1999	Ivan S. F. Chan Zhongxin Zhang
+ PDF Chat	Hypothesis Testing About Proportions in Two Finite Populations	2002	K. Krishnamoorthy Jessica Thomson
+	Exact Statistical Inference for a 2×2 Table	2015	Guogen Shan
+ PDF Chat	BINOMIAL AND POISSON CONFIDENCE INTERVALS AND ITS VARIANTS: A BIBLIOGRAPHY	2010	Anwar Khurshid
+	The sizes of the three popular asymptotic tests for testing homogeneity of two binomial proportions	2006	Seung‐Ho Kang Yonghee Lee Eun Sug Park
+ PDF Chat	Comments on ‘Tests for the homogeneity of two binomial proportions in extremely unbalanced 2 × 2 contingency tables’, by S.‐H. Kang and C. W. Ahn, <i>Statistics in Medicine</i> 2008; <b>27</b>:2524–2535	2009	Antonio Martín Andrés I. Herranz Tejedor

Works Cited by This (13)

Action	Title	Year	Authors
+	Power comparison of exact unconditional tests for comparing two binomial proportions	1994	Roger L. Berger
+	A comparison of some conditional and unconditional exact tests for 2x2 contingency tables	1987	Michael Haber
+	Choosing the optimal unconditioned test for comparing two independent proportions	1994	Antonio Martín Andrés A. Silva Mato
+	On the Logical Justification of Conditional Tests for Two-By-Two Contingency Tables	1991	Sander Greenland
+	Raised conditional level of significance for the 2 × 2‐table when testing the equality of two probabilities	1970	R. D. Boschloo
+	An exact unconditional test for the 2 × 2 comparative trial.	1986	Michael Haber
+	Testing the Equality of Two Independent Binomial Proportions	1989	Roderick J. A. Little
+ PDF Chat	<i>P</i> Values Maximized Over a Confidence Set for the Nuisance Parameter	1994	Roger L. Berger Dennis D. Boos
+	A Nonrandomized Unconditional Test for Comparing Two Proportions in 2×2 Contingency Tables	1977	Lyman L. McDonald B. M. Davis George A. Milliken
+	A Nonrandomized Unconditional Test for Comparing Two Proportions in 2×2 Contigency Tables	1977	Lyman L. McDonald B. M. Davis George A. Milliken