130 Citations
Conditional and Unconditional Tests for Comparing Several Poisson Means 3 2 The Tests
- Mathematics
- 2011
In this article, we consider the problem of testing equality of several Poisson means. Two tests, one based on the exact conditional distribution of the sample counts and another based on the…
A comparative study of tests for the difference of two Poisson means
- MathematicsComput. Stat. Data Anal.
- 2007
Testing the Ratio of Two Poisson Rates
- MathematicsBiometrical journal. Biometrische Zeitschrift
- 2008
Four different general approaches for testing the ratio of two Poisson rates are compared and some recommendations favoring the likelihood ratio and certain asymptotic tests are based on these simulation results.
On a Test of the Difference between Two Binomial Proportions
- Mathematics
- 2006
The problem of testing for the equality of the proportions of two independent binomial populations is covered in the literature by a very extensive research. The most popular procedures are Fisher's…
Parametric bootstrap and approximate tests for two Poisson variates
- Mathematics
- 2010
The parametric bootstrap tests and the asymptotic or approximate tests for detecting difference of two Poisson means are compared. The test statistics used are the Wald statistics with and without…
Exact unconditional testing procedures for comparing two independent Poisson rates
- Mathematics
- 2015
We consider seven exact unconditional testing procedures for comparing adjusted incidence rates between two groups from a Poisson process. Exact tests are always preferable due to the guarantee of…
Comparing two independent incidence rates using conditional and unconditional exact tests
- MathematicsPharmaceutical statistics
- 2008
Several unconditional exact tests, which are constructed to control the Type I error rate at the nominal level, for comparing two independent Poisson rates are proposed and compared to the…
On powerful exact nonrandomized tests for the Poisson two-sample setting
- MathematicsStatistical methods in medical research
- 2020
It is shown how the construction of a Poisson-Boschloo type test extends to the case that interest is in establishing equivalence in the strict, two-sided sense rather than noninferiority, and compares the resulting test procedure in terms of power with the exact randomized UMPU test.
A revisit to testing the equality of several Poisson parameters
- MathematicsModel. Assist. Stat. Appl.
- 2016
This paper has proposed a few new test procedures based on two broad adjustments, namely (i) using different 'metrics' which measure deviation of the model parameters from the null hypothesis; and (ii) using shrinkage estimators in the aforementioned 'Metrics'.
References
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Experiment Size and Power Comparisons for Two‐Sample Poisson Tests
- Mathematics
- 1982
SUMMARY The uniformly most powerful test and an approximate test of equality of the failure intensities of two Poisson processes are studied. An approximately normally distributed test statistic is…
Exact Properties of Some Exact Test Statistics for Comparing Two Binomial Proportions
- Mathematics
- 1990
Abstract Using exact unconditional distributions, we evaluated the size and power of four exact test procedures and three versions of the χ2 statistic for the two-sample binomial problem in…
Exact Unconditional Sample Sizes for the 2 Times 2 Binomial Trial
- Mathematics
- 1985
SUMMARY Exact attained significance level and sample size methods are developed for use with the unconditional Z statistic in the 2 x 2 contingency table from two independent binomial samples of…
Confidence Intervals for the Ratio of Two Poisson Means and Poisson Predictor Intervals
- Mathematics
- 1970
Easy-to-use charts are presented for confidence intervals for the ratio of two Poisson mean occurrence rates and for predictor intervals for the future value of a Poisson random variable, given a…
On tests and estimates for the ratio of poisson means
- Mathematics
- 1952
A study is made of tho ratio of means of Poisson variables—tests and estimates are exhibited, and their properties are discussed briefly.
The jackknife, the bootstrap, and other resampling plans
- Mathematics
- 1987
The Jackknife Estimate of Bias The Jackknife Estimate of Variance Bias of the Jackknife Variance Estimate The Bootstrap The Infinitesimal Jackknife The Delta Method and the Influence Function…
Exact unconditional sample sizes for the 2×2 binomial trial
- Mathematics
- 1985
On utilise la methode de maximisation pour eliminer le parametre de nuisance present dans la comparaison de deux proportions
Homogeneity of results in testing samples from Poisson series, with an application to testing clover seed for dodder.
- Mathematics
- 1940
Power Computations for Designing
- Comparative Poisson Trials,” Biometrics,
- 1974