A statistical test, known as Fisher's Exact Test, is often used to determine if there is a relationship between two categorical variables. The test is based on the counting principles presented in this section. You will begin to explore the test here, although a complete exposition is not possible until Section 12.2.Consider a collection of 14 people. Suppose that nine of the 14 people develop a disease and five do not. (a) How many different ways are there for nine of the 14 people to develop the disease?ways(b) Now supposed that ten of the 14 people carry a specific genetic mutation, and eight of these are in the group that develops the disease. How many different ways are there for this to be true? Fisher's exact test can be used to determine if the occurrence of the mutation tends to be clustered in the group of people that develops the disease. If so, the gene can then be used as a marker to indicate which people are likely to develop the disease.ways

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A statistical test, known as Fisher's Exact Test, is often used to determine if there is a relationship between two categorical variables. The test is based on the counting principles presented in this section. You will begin to explore the test here, although a complete exposition is not possible until Section 12.2.

Consider a collection of 14 people. Suppose that nine of the 14 people develop a disease and five do not.

(a) How many different ways are there for nine of the 14 people to develop the disease?
ways

(b) Now supposed that ten of the 14 people carry a specific genetic mutation, and eight of these are in the group that develops the disease. How many different ways are there for this to be true? Fisher's exact test can be used to determine if the occurrence of the mutation tends to be clustered in the group of people that develops the disease. If so, the gene can then be used as a marker to indicate which people are likely to develop the disease.
ways
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