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Chapter 26

# BIOL499A Chapter Notes - Chapter 26: Contingency Table, Test Statistic, Statistical Hypothesis Testing

by OC247811

School

University of AlbertaDepartment

Biology (Biological Sciences)Course Code

BIOL499AProfessor

Blaine MullinsChapter

26This

**preview**shows pages 1-3. to view the full**11 pages of the document.**Chapter 26: Chi – Square Tests

In this chapter, we will talk about:

A goodness – of – fit test,

Chi-square test of independence in a contingency table.

Chi-square test of homogeneity in a contingency table.

Definition: A goodness-of-fit test is one that is used to see if the

distribution of the observed outcome of the sample trials supports a

hypothesized population distribution.

Note: We cannot prove a null hypothesis using a statistical test.

One of the tests is

2

2

1

(Obs Exp) ~

Exp

k

i

TS

distribution with

1

kdf

Only pages 1-3 are available for preview. Some parts have been intentionally blurred.

Only pages 1-3 are available for preview. Some parts have been intentionally blurred.

Example 26.1: A die was rolled 600 times, with the accompanying results.

Do these data present sufficient evidence to indicate that the die is

unbalanced?

Observed number 1 2 3 4 5 6

Frequency 89 113 98 104 117 79

Solution:

1)

0

:

:

a

H

H

2)

0.05

3)

2

2

1

(Obs Exp) ~

Exp

k

i

TS

distribution if

0

His true.

1 df k

4) We reject

0

H

if

2*

TS

5)

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