Monday, 4/4/2022

Presenter Information

Scott FerrellFollow

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University

Shawnee State University

Major

Mathematical Science

Student Type

Undergraduate Student

Presentation Types

Oral Presentation

Keywords:

probability, testing, Bayes' Theorem

Abstract

This presentation summarizes an investigation into series of tests that indicate whether a subject is positive or negative for some condition. The research explores facts related to the sensitivity and specificity of tests, using this information in conjunction with Bayes’ Theorem to determine the probability of a subject being truly positive given any combination of test results. This is used to assess the effectiveness of certain testing procedures and find the relationship between positive and negative tests that is required to reach a particular threshold of certainty that a subject is truly its diagnosed condition.

Human Subjects

no

Faculty Mentor Name

John Whitaker

Faculty Mentor Title

Professor

Faculty Mentor Academic Department

Mathematical Sciences

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Using Sensitivity and Specificity to Analyze Testing Procedures

This presentation summarizes an investigation into series of tests that indicate whether a subject is positive or negative for some condition. The research explores facts related to the sensitivity and specificity of tests, using this information in conjunction with Bayes’ Theorem to determine the probability of a subject being truly positive given any combination of test results. This is used to assess the effectiveness of certain testing procedures and find the relationship between positive and negative tests that is required to reach a particular threshold of certainty that a subject is truly its diagnosed condition.