More Powerful Tests from Confidence Interval p Values
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…
Testing general hypotheses under binomial sampling: the two sample case - asymptotic theory and exact procedures
- MathematicsComput. Stat. Data Anal.
Modes of Parametric Statistical Inference
Foreword. Preface. 1. A Forerunner. 2. Frequentist Analysis. 3. Likelihood. 4. Testing Hypotheses. 5. Unbiased and Invariant Tests. 6. Elements of Bayesianism. 7. Theories of Estimation. 8. Set and…
The criticism of conservativeness of Fisher ’ s exact test reached a climax
An information theoretic approach to the evaluation of 2 2 × contingency tables is proposed. By investigating the relationship between the Kullback-Leibler divergence and the maximum likelihood…
Tests of Independence for a 2 × 2 Contingency Table with Random Margins
Fisher’s exact test is commonly used for testing the hypothesis of independence between the row and column variables in a r × c contingency table. It is a “small-sample” test since it is used when…
The analysis of 2 × 1 and 2 × 2 contingency tables: an historical review
- MathematicsStatistical methods in medical research
The historical development of analytic techniques for frequency data presented as 2 x 1 or 2 x 2 contingency tables is described and a single statistic approximating the chi-square distribution is used to test the hypothesis of an association between the two relevant variables.
Independence in multi-way contingency tables: S.N. Roy's breakthroughs and later developments
- 0501 Tests of Independence in a Single 2 x 2 Contingency Table with Random Margins
In analysis of the contingency tables, the Fisher’s exact test is a very important statistical significant test that is commonly used to test independence between the two variables. However, the…
Practical valid inferences for the two-sample binomial problem
It is shown that no one method can meet all the desirable properties and give recommendations based on which properties are given more importance from applied frequentist inference: validity, accuracy, good power, equivariance, compatibility, coherence, and parameterization and direction of effect.