Document Details

Document Type : Thesis 
Document Title :
Exploring Ternary problems of Conditional Probability via Signal Flow Graphs
استكشاف المشاكل الثلاثية للاحتمال الشرطي من خلال الرسوم البيانية لتدفق الإشارة
 
Subject : Faculty of Engineering 
Document Language : Arabic 
Abstract : Diagnostic testing is of principal importance in engineering, medical, and management systems. Typically, such testing produces results that are measured via a two-by-two contingency matrix or agreement table. This relatively small matrix involves four marginal probabilities, four joint (conjunctive) probabilities, and eight conditional probabilities, and is a source of a multitude of other statistical indicators. In this thesis, we study the relations among the outcomes of this matrix, first using pure arithmetical algebraic methods then using visualization techniques such as the Venn diagram or the Karnaugh map, and finally using Signal Flow Graphs adapted as trinomial graphs for ternary problems of conditional probabilities. The aforementioned analysis sets the stage for the main contribution of the thesis, namely, the implementation of a computer package, titled ETPCP (Exploring ternary problems of conditional probability Application). This package uses the C Sharp (C#) programming language. It serves as an immediate aid for simple probability and statistics calculations associated with the contingency table. The package is also a useful pedagogical tool for medical students as it exposes many of the terms commonly-used in medical diagnostics. The package was extensively tested for many practical problems. 
Supervisor : Prof. Ali Mohammad Rushdi 
Thesis Type : Master Thesis 
Publishing Year : 1443 AH
2022 AD 
Added Date : Friday, January 20, 2023 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
سلطان محمد الغامديAlghamdi, Sultan MohammedResearcherMaster 

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