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Chapter 26

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


Department
Biology (Biological Sciences)
Course Code
BIOL499A
Professor
Blaine Mullins
Chapter
26

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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

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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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