Comparison of binomial proportions: new test
Journal Title: Colloquium Biometricum; Colloquium Biometricum (Online) - Year 2017, Vol 47, Issue
Abstract
n the problem of comparison of two probabilities of success the most widely used is approximate test based on de Moivre-Laplace theorem. In the paper a test based on likelihood ratio is proposed. Those tests are compared due to probability of an error of the first kind. A medical example is presented.
Authors and Affiliations
Stanisław Jaworski, Wojciech Zieliński
RELATIONS BETWEEN TERNARY DESIGNS AND D-OPTIMAL WEIGHING DESIGNS WITH NON-NEGATIVE CORRELATED ERRORS
This work was intended as an attempt at motivating to increase the list of possible classes in that we are able to construct optimal plans of experiments. Here, we consider the criterion of D-optimality. We introduce the...
New test for comparison of binomial proportions: power comparison
In the problem of comparison of two probabilities of success the most widely used test is approximate test based on de Moivre-Laplace theorem. In Jaworski and Zieliński (2017) a new test based on the likelihood ratio was...
LINEAR STATISTICAL INFERENCE ON THE CHLOROPHYLL CONTENT IN DIFFERENT STAGES OF THE MAIZE VARIETY ‘ANJOU 258’
The paper deals with an additional particular analysis of the four-year study on the chlorophyll content of the maize variety ‘Anjou 258’. The field trial was conducted every year in a split-plot design at the Agricultur...
A REMARK ON ESTIMATING DEFECTIVENESS IN SAMPLING ACCEPTANCE INSPECTION
Summary The problem of estimating a probability of success in a Binomial model is considered. The classical estimator is compared with the estimator which uses the information about non-homogeneity of the sample. An appl...
NEW CONSTRUCTION OF D-OPTIMAL WEIGHING DESIGNS WITH NON-NEGATIVE CORRELATIONS OF ERRORS
In this paper, the regular D-optimal chemical balance weighing designs with equally non-negative correlated errors are considered. Here we study the issues regard to the existence conditions of optimal designs. Presented...