produce a CROSSTAB for the variables SEX and FEFAM. Examine the relationship between these variables by testing both statistical significance and strength of association. Use chi-square for significance and choose the appropriate measures for strength of association (Phi, Cramer’s V, Lambda, or Gamma). Set alpha to .05. State th
produce a CROSSTAB for the variables SEX and FEFAM. Examine the relationship between these variables by testing both statistical significance and strength of association. Use chi-square for significance and choose the appropriate measures for strength of association (Phi, Cramer’s V, Lambda, or Gamma). Set alpha to .05. State th
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
produce a CROSSTAB for the variables SEX and FEFAM. Examine the relationship between these variables by testing both statistical significance and strength of association. Use chi-square for significance and choose the appropriate measures for strength of association (Phi, Cramer’s V, Lambda, or Gamma). Set alpha to .05.
- State the null and research hypotheses:
H0:
H1:
- What is the obtained chi-square value?
- What is the significance level (p-value) for the obtained chi-square?
- Should we reject or fail to reject the null hypothesis?
- Is there a statistically significant relationship between these variables?
- Which measure of association would be most appropriate for these variables?
- What is the value of the measure of association?
- Interpret your findings by explaining in full sentences whether there is a statistically significant relationship or not and the strength of the relationship. Also explain any patterns you see in the percentages:
![Respondents sex * Better for man to work, woman tend home Crosstabulation
Better for man to work, woman tend home
STRONGLY
STRONGLY
AGREE
AGREE
DISAGREE
DISAGREE
Total
Respondents sex
MALE
Count
48
182
407
189
826
% within Better for man to
43.6%
44.9%
47.7%
37.5%
44.1%
work, woman tend home
FEMALE
Count
62
223
446
315
1046
% within Better for man to
56.4%
55.1%
52.3%
62.5%
55.9%
work, woman tend home
Total
Count
110
405
853
504
1872
% within Better for man to
100.0%
100.0%
100.0%
100.0%
100.0%
work, woman tend home
Chi-Square Tests
Asymptotic
Significance (2-
Value
df
sided)
Pearson Chi-Square
13.548a
3
.004
Likelihood Ratio
13.650
3
.003
Linear-by-Linear Association
3.833
1
050
N of Valid Cases
1872
a. O cells (0.0%) have expected count less than 5. The minimum
D(Ctrl) -
expected count is 48.54.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2c77ad-d5cb-44fe-abb9-4315f8ada10b%2F4873cc2c-3138-4c77-bab4-c8fdc4546795%2F165a0j5_processed.png&w=3840&q=75)
Transcribed Image Text:Respondents sex * Better for man to work, woman tend home Crosstabulation
Better for man to work, woman tend home
STRONGLY
STRONGLY
AGREE
AGREE
DISAGREE
DISAGREE
Total
Respondents sex
MALE
Count
48
182
407
189
826
% within Better for man to
43.6%
44.9%
47.7%
37.5%
44.1%
work, woman tend home
FEMALE
Count
62
223
446
315
1046
% within Better for man to
56.4%
55.1%
52.3%
62.5%
55.9%
work, woman tend home
Total
Count
110
405
853
504
1872
% within Better for man to
100.0%
100.0%
100.0%
100.0%
100.0%
work, woman tend home
Chi-Square Tests
Asymptotic
Significance (2-
Value
df
sided)
Pearson Chi-Square
13.548a
3
.004
Likelihood Ratio
13.650
3
.003
Linear-by-Linear Association
3.833
1
050
N of Valid Cases
1872
a. O cells (0.0%) have expected count less than 5. The minimum
D(Ctrl) -
expected count is 48.54.
![Directional Measures
Asymptotic
Approximate
Value
Standard Errore
Approximate T
Significance
Nominal by Nominal
Lambda
Symmetric
.000
.000
b
Respondents sex Dependent
.000
.000
Better for man to work, woman
.000
.000
tend home Dependent
Goodman and Kruskal tau
Respondents sex Dependent
007
.004
.004
Better for man to work, woman
004
.002
000
tend home Dependent
a. Not assuming the null hypothesis.
b. Cannot be computed because the asymptotic standard error equals zero.
c. Based on chi-square approximation
Symmetric Measures
Asymptotic
Approximate
Value
Standard Errore Approximate Tb
Significance
Nominal by Nominal
Phi
.085
004
Cramer's V
.085
004
Ordinal by Ordinal
Gamma
.084
.037
2.250
.024
N of Valid Cases
1872
a. Not assuming the null hypothesis.
b. Using the asymptotic standard error assuming the null hypothesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2c77ad-d5cb-44fe-abb9-4315f8ada10b%2F4873cc2c-3138-4c77-bab4-c8fdc4546795%2Fupjo78q_processed.png&w=3840&q=75)
Transcribed Image Text:Directional Measures
Asymptotic
Approximate
Value
Standard Errore
Approximate T
Significance
Nominal by Nominal
Lambda
Symmetric
.000
.000
b
Respondents sex Dependent
.000
.000
Better for man to work, woman
.000
.000
tend home Dependent
Goodman and Kruskal tau
Respondents sex Dependent
007
.004
.004
Better for man to work, woman
004
.002
000
tend home Dependent
a. Not assuming the null hypothesis.
b. Cannot be computed because the asymptotic standard error equals zero.
c. Based on chi-square approximation
Symmetric Measures
Asymptotic
Approximate
Value
Standard Errore Approximate Tb
Significance
Nominal by Nominal
Phi
.085
004
Cramer's V
.085
004
Ordinal by Ordinal
Gamma
.084
.037
2.250
.024
N of Valid Cases
1872
a. Not assuming the null hypothesis.
b. Using the asymptotic standard error assuming the null hypothesis.
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