
arXiv: 1402.6717
In this paper new test statistics are introduced and studied for the important problem of testing hypothesis that involves inequality constraint on proportions when the sample comes from independent binomial random variables: Wald type and phi-divergence based test-statistics. As a particular case of phi-divergence based test-statistics, the classical likelihood ratio test is considered. An illustrative example is given and the performance of all of them for small and moderate sample sizes is analyzed in an extensive simulation study.
FOS: Computer and information sciences, logistic regression, Parametric hypothesis testing, Methodology (stat.ME), phi-divergence statistics, Wald-type statistics, inequality constrains, Nonparametric hypothesis testing, loglinear model, Statistics - Methodology
FOS: Computer and information sciences, logistic regression, Parametric hypothesis testing, Methodology (stat.ME), phi-divergence statistics, Wald-type statistics, inequality constrains, Nonparametric hypothesis testing, loglinear model, Statistics - Methodology
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 3 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
