Question
In: Statistics and Probability
How are the expected values calculated for the contingency table of a test if independence and...
How
are the expected values calculated for the contingency table of a
test if independence and what is the reason that this formula
works?
Solutions
Expert Solution
The Chi-Square test of independence is used to determine if there is a significant relationship between two nominal (categorical) variables. The frequency of each category for one nominal variable is compared across the categories of the second nominal variable. The data can be displayed in a contingency table where each row represents a category for one variable and each column represents a category for the other variable.
To find the expected frequency of cell do the following:
(Row total of cell * Column total of cell) / Grand total
Example:
This
formula works because the expected value we got is the
representative of observed value and is also close to observed
value so that we can apply chi square test to find the
independence.
orchestra answered 2 years agoRelated Solutions
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a.
α=0.05,
r=6,
c=5
d.
α=0.01,
r=5,
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b.
α=0.01,
r=3,
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e.
α=0.01,
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c.
α=0.01,
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1. Given the following contingency table, conduct a test for independence at the 1% significance level....
1.
Given the following contingency table, conduct a test for
independence at the 1% significance level. (You may find it
useful to reference the appropriate table: chi-square table or F
table)
Variable A
Variable B
1
2
1
31
32
2
34
58
Calculate the value of the test statistic. (Round
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2.
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Result
stretched
not stretched
injury
16(20.979)
24(19.021)
No injury
209(204.021)
180(184.979)
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for Independence
4. How many expected cell frequencies satisfy subsequent
assumptions, so that the chi-square test of a contingency table is
valid? 11.3 Chi-Square Test for Independence Page 368 Test Review
Questions
Chapter 12
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When testing for independence in a contingency table with 2 rows and 2 columns at 5%...
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What is Cramer's V for each of the following values for the chi-square test for independence?...
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decimal places.)
(a) X2 = 3.95, n = 50, dfsmaller = 1 V =
(b) X2 = 8.81, n = 110, dfsmaller = 2 V =
(c) X2 = 11.62, n = 180, dfsmaller = 3 V =
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