The procedure of many hypotheses logarithmically asymptotically optimal (LAO) testing for a model consisting of three or more independent objects is analyzed. It is supposed that M probability distributions are known and each object follows one of them independently of others. The matrix of asymptotic interdependencies (reliability-reliability functions) of all possible pairs of the error probability exponents (reliabilities) in optimal testing for this model is studied. This problem was introduced (and solved for the case of two objects and two given probability distributions) by Ahlswede and Haroutunian; it is a generalization of two hypotheses LAO testing problem for one object investigated
We survey a series of investigations of optimal testing of multiple hypotheses concerning various multiobject models.These studies are a bright instance of application of methods and technics developed in Shannon information theory to solution of typical statistical problems.
Scientific research in the field of healthcare contributes to solving not only medical, but also economic and social issues. One of the latest trends is the growing interest in evaluating the effectiveness of research conducted. In the current study, we have hypothesized that science contributes to the reduction of the Cancer Mortality Rate (CMR) by making awareness about and bringing attention to this disease. The purpose of our investigation is to study the possible correlation between five scientometric indicators (Web of Science Documents, International Collaborations, etc.) and CMR changes for 14 countries. Furthermore, the expenditures of GDP in both science and healthcare for each of the studied countries have been considered within the framework of cancer-science relations in order to find out the possible socio-economic impact on cancer incidence. Methodologically, the study relies on the principles of scientometric management. The research data were retrieved from Web of Science and the World Health Organization for the period from 1997 to 2017. To investigate the correlation between scientific research and the CMR, we have used bibliometric data and nonparametric statistical methods (the Kruskal-Wallis test, Spearman’s correlation coefficient) as well as the Dunn test of multiple group checks and the Shapiro-Wilk test. R language, Tidyverse package R and VOSviewer were used for data processing. The research results showed that during the period in question there was an increase in the CMR in Armenia and Georgia, while in Iran and Azerbaijan it remained almost consistent. For the rest of the countries from Asia and Europe, as well as Canada and the USA, the CMR experienced a downward trend. We have found close links between scientometric data, the CMR and economic costs for Europe and the USA. At the same time, for Armenia and neighbouring countries the correlation between the CMR and GDP was weak. Moreover, GDP costs incurred in healthcare and science did not have a positive effect on the CMR in Armenia, Azerbaijan and Georgia. This indicates that scientific and socio-economic factors are highly correlated with each other and, therefore, have a positive impact on the CMR, mainly in Europe and the USA. However, the science-health relationship in Armenia is still weak and requires efforts to prevent the continued rise in CMR levels. The findings of this study can also be applied to other fields of science and help to establish close links between scientometrics and various branches of medicine.
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