An Example of Application of CBM to Intersection- Union Hypotheses Testing
Journal Title: Biomedical Journal of Scientific & Technical Research (BJSTR) - Year 2019, Vol 19, Issue 3
Abstract
Application of CBM to the testing of the intersection of a sub-set of basic hypotheses against an alternative one is considered. Optimal decision rule allows us to restrict the Type-I and Type-II errors rates on the desired levels.In many applications, there arise the problems when basic or/and alternative hypotheses can be represented as the union or intersection of several sub-hypotheses Sen Gupta [1], Roy [2]. The general methodology of testing union-intersection hypotheses was offered in Roy [2]. An idea of this methodology consists in consideration in pairs of sub-hypotheses from basic and alternative hypotheses. Each pair of hypotheses is chosen one by one from basic and alternative hypotheses sub-sets accordingly. Final regions, for acceptance of basic and alternative hypotheses, are defined as intersection of the appropriate sub-regions. The reverse scenario, when basic and/or alternative hypotheses are presented as intersection of the appropriate sub-sets of hypotheses, is considered in Sen Gupta [1]. The special methodology, giving the powerful decision rule, based on Pivotal Parametric Product (P3), is offered there. Application of constrained Bayesian method (CBM), developed by author Kachiashvili [3], to the considered type of hypotheses in one concrete case, is offered below. Here is shown that obtained decision rule allows us to restrict the Type-I and Type-II error rates on the desired level, in this case.
Authors and Affiliations
Kachiashvili KJ
Keywords
Related Articles
- EP ID EP621787
- DOI 10.26717/BJSTR.2019.19.003304
- Views 187
- Downloads 0
Challenges in the treatment of West syndrome
West syndrome is a rare and severe infant epileptic encephalopathy, covering 25-30% of infantile epilepsies. It’s incidence is 2-3.5/ 10000 live births. The clinical picture usually starts with infantile spasms, which ca...
Ascitic Type of Abdominal Tuberculosis in a 40 Year Old Female
Disseminated tuberculosis can cause a lot of damage to an individual if there is no early diagnosis. In Africa, about 70% of patients with abdominal tuberculosis present with ascites and most of these cases are missed di...
Ecological and Cultural Values of Water Bodies: Recognising a Plural-Values Approach of Ecosystems
This article explores cultural and ecological values associated with water bodies, which can be considered helpful tools for both sustainable management and strengthening of responsibilities of the general public towards...
Anti-Inflammatory and Pro-Inflammatory Neuropeptides in Dilative Cardiomyopathy are there Relations to Psychophysical Stress?
Background: Neuropeptides can be influenced by psychophysical stress and may have influence on cardiac function. Objective: We wanted to find out, whether pro- and anti-inflammatory neuropeptides may be altered in heart...
Droplet Digital PCR: A New Technology for Detection and Quantification of Chimerism After Allogenic Hematopoietic Stem Cell Transplantation
Allogeneic hematopoietic stem cell transplantation (allo-SCT) is today an established cure for many malignant and non-malignant hematological disorders. The post-allo-SCT monitoring is very important in the engraftment p...