## 161 Citations

### More Powerful Tests from Confidence Interval p Values

- Mathematics
- 1996

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.
- 2005

### Modes of Parametric Statistical Inference

- Mathematics
- 2006

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

- Mathematics
- 2009

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

- Mathematics
- 2017

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
- 1994

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

- Mathematics
- 2007

### - 0501 Tests of Independence in a Single 2 x 2 Contingency Table with Random Margins

- Mathematics
- 2019

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

- Mathematics
- 2019

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.

### What ’ s the Difference Between the Two Methods ?

- Mathematics
- 2003

There are two fundamentally different exact tests for comparing the equality of two binomial probabilities – Fisher’s exact test (Fisher, 1925), and Barnard’s exact test (Barnard, 1945). Fisher’s…