Stability of Dependencies of Contingent Subgroups with Merged Groups: Vaccination Case Study

The answers to extreme phenomena both in nature and in business sectors are the constructions of the distribution of random variables with extreme values. Another area in which appropriate theoretical research is conducted regarding the influence of suppressor (third) variables in categorical data....

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Autor principal:	Tomas Macak
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	partial probability suppressive variable contingency causality consistency Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9e675291a5e14c3eb4416b1dfb087b33
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id	oai:doaj.org-article:9e675291a5e14c3eb4416b1dfb087b33
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spelling	oai:doaj.org-article:9e675291a5e14c3eb4416b1dfb087b332021-11-25T18:17:11ZStability of Dependencies of Contingent Subgroups with Merged Groups: Vaccination Case Study10.3390/math92229172227-7390https://doaj.org/article/9e675291a5e14c3eb4416b1dfb087b332021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2917https://doaj.org/toc/2227-7390The answers to extreme phenomena both in nature and in business sectors are the constructions of the distribution of random variables with extreme values. Another area in which appropriate theoretical research is conducted regarding the influence of suppressor (third) variables in categorical data. When examining dependencies in PivotTables, we often find it necessary to merge data into larger sets (e.g., due to a greater number of theoretical frequencies lower than their critical value). A phenomenon many exist wherein the partial relation is stronger than the zero relation. For example, in such a combination, instability may occur, which indicates contingent subgroups with the merged group. The dependence of dependencies is practically manifested because the data of contingent subgroups indicate inconsistent (inverted) conclusions compared to the associated group. For this reason, this paper aimed to find the critical ratios of partial probabilities in the contingency table of subgroups of the original variables, and to determine the conditions of result consistency and contingency stability, including the proof. For practical use and for the ease of repeating the proposed procedure, the solution is based on a case study that compares the effectiveness of vaccination.Tomas MacakMDPI AGarticlepartial probabilitysuppressive variablecontingencycausalityconsistencyMathematicsQA1-939ENMathematics, Vol 9, Iss 2917, p 2917 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	partial probability suppressive variable contingency causality consistency Mathematics QA1-939
spellingShingle	partial probability suppressive variable contingency causality consistency Mathematics QA1-939 Tomas Macak Stability of Dependencies of Contingent Subgroups with Merged Groups: Vaccination Case Study
description	The answers to extreme phenomena both in nature and in business sectors are the constructions of the distribution of random variables with extreme values. Another area in which appropriate theoretical research is conducted regarding the influence of suppressor (third) variables in categorical data. When examining dependencies in PivotTables, we often find it necessary to merge data into larger sets (e.g., due to a greater number of theoretical frequencies lower than their critical value). A phenomenon many exist wherein the partial relation is stronger than the zero relation. For example, in such a combination, instability may occur, which indicates contingent subgroups with the merged group. The dependence of dependencies is practically manifested because the data of contingent subgroups indicate inconsistent (inverted) conclusions compared to the associated group. For this reason, this paper aimed to find the critical ratios of partial probabilities in the contingency table of subgroups of the original variables, and to determine the conditions of result consistency and contingency stability, including the proof. For practical use and for the ease of repeating the proposed procedure, the solution is based on a case study that compares the effectiveness of vaccination.
format	article
author	Tomas Macak
author_facet	Tomas Macak
author_sort	Tomas Macak
title	Stability of Dependencies of Contingent Subgroups with Merged Groups: Vaccination Case Study
title_short	Stability of Dependencies of Contingent Subgroups with Merged Groups: Vaccination Case Study
title_full	Stability of Dependencies of Contingent Subgroups with Merged Groups: Vaccination Case Study
title_fullStr	Stability of Dependencies of Contingent Subgroups with Merged Groups: Vaccination Case Study
title_full_unstemmed	Stability of Dependencies of Contingent Subgroups with Merged Groups: Vaccination Case Study
title_sort	stability of dependencies of contingent subgroups with merged groups: vaccination case study
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/9e675291a5e14c3eb4416b1dfb087b33
work_keys_str_mv	AT tomasmacak stabilityofdependenciesofcontingentsubgroupswithmergedgroupsvaccinationcasestudy
_version_	1718411399660568576

Stability of Dependencies of Contingent Subgroups with Merged Groups: Vaccination Case Study

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