Testing for Bivariate Categorical Analysis

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    1. QUESTION

    Assignment: Testing for Bivariate Categorical Analysis
    You have had plenty of practice with data analysis in the Discussions and hopefully you have received helpful and encouraging feedback from your colleagues. Now, for the last time in the course, it is time once again to put all of that good practice to use and answer a social research question using categorical statistical tools. As you begin the Assignment, be sure and pay close attention to the assumptions of the test. Specifically, make sure the variables are categorical level variables.
    For this Assignment, you will consider three different scenarios. Each of these scenarios include a research question. You will examine each scenario, choose a categorical data analysis and run a sample test.
    To prepare for this Assignment:
    • Review Chapters 10 and 11 of the Frankfort-Nachmias & Leon-Guerrero course text and the media program found in this week’s Learning Resources related to bivariate categorical tests.
    • Using the SPSS software, open the Afrobarometer dataset found in this week’s Learning Resources.
    • Next, review the Chi Square Scenarios found in this week’s Learning Resources and consider each research scenario for this Assignment.
    • Based on the dataset you chose and for each research scenario provided, using the SPSS software, choose a categorical data analysis and run a sample test.
    • Once you perform your categorical data analysis, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document.
    For this Assignment:
    Write a 1- to 2-paragraph analysis of your categorical data results for each research scenario. In your analysis, display the data for the output. Based on your results, provide an explanation of what the implications of social change might be (Pleaase answer this question).

    Use proper APA format, citations, and referencing for your analysis, research question, and display of output.

    Required Reading

    Frankfort-Nachmias, C., & Leon-Guerrero, A. (2018). Social statistics for a diverse society (8th ed.). Thousand Oaks, CA: Sage Publications.
    • Chapter 9, “Bivariate Tables” (pp. 235-268)
    • Chapter 11, “The Chi-Square Test and Measures of Association” (pp. 269-302)

    Week 11 Scenarios

    1. Results of your literature review conclude that trust in the police is an integral part of any democracy. You wish to test whether a relationship between trust in the police and presence of democracy (measured with dichotomous variable) exists in Africa. Using Afrobarometer 2015, please provide: a 1–2 APA style paragraph statement that furnishes an answer to this question, note the relevant statistics, comment on meaningfulness, and include your relevant SPSS output.
    2. Following up on your previous analysis, you now wish to determine whether a relationship exists between citizen trust in police and whether respondents reside in rural, urban or semi-urban settings? Using Afrobarometer 2015, please provide: a 1–2 APA style paragraph statement that furnishes an answer to this question, note the relevant statistics, comment on meaningfulness, and include your relevant SPSS output. In addition, please comment on what could be influencing the results you obtained.
    3. Is there a relationship between perceptions of current economic conditions and extent of a democracy? Using Afrobarometer 2015, please provide: a 1–2 APA style paragraph statement that furnishes an answer to this question, note the relevant statistics, comment on meaningfulness, and include your relevant SPSS output. In addition, please comment on what could be influencing the results you obtained.

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Subject Law and government Pages 10 Style APA
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Answer

Testing for Bivariate Categorical Analysis

Scenario 1: Democracy and Trust in Police by Citizens

It is hypothesized that trust in the police is an integral part of any democracy. To confirm this hypothesis, the test of association of the categorical variables is done as articulated by Frankfort-Nachmias and Leon-Guerrero (2017).  The research question being answered in this test is: Is trust in the police by citizens influenced by the democracy of the country?

The null hypothesis tested states that there is no association between democracy and trust in the police.

 

Q59h. Trust police * Democracy (dichotomous) Crosstabulation

 

Democracy (dichotomous)

Total

Not a Democracy

Democracy

Q59h. Trust police

Not at all

Count

2143

8516

10659

% within Democracy (dichotomous)

39.9%

20.2%

22.5%

Just a little

Count

1396

10588

11984

% within Democracy (dichotomous)

26.0%

25.2%

25.3%

Somewhat

Count

1074

11370

12444

Somewhat

Count

1074

11370

12444

% within Democracy (dichotomous)

20.0%

27.0%

26.2%

A lot

Count

756

11586

12342

% within Democracy (dichotomous)

14.1%

27.5%

26.0%

Total

Count

5369

42060

47429

% within Democracy (dichotomous)

100.0%

100.0%

100.0%

 

Table 1: Bivariate table of police trust and democracy.

The table indicates that there is a higher in a democratic country, a majority (77.5%) have at least a little trust in the police, with a relatively high 26% agreeing to have a lot of trust in police. On the other hand, citizens from non-democratic countries are less likely to trust in the police, with a high proportion of respond

Chi-Square Tests

 

Value

df

Asymp. Sig. (2-sided)

Pearson Chi-Square

1242.165a

3

.000

Likelihood Ratio

1173.593

3

.000

Linear-by-Linear Association

1125.520

1

.000

N of Valid Cases

47429

 

 

Table 2: Association test between Trust in police and Democracy.

Symmetric Measures

 

Value

Approx. Sig.

Nominal by Nominal

Phi

.162

.000

Cramer's V

.162

.000

N of Valid Cases

47429

 

Table 3: Table of strength of association.

The χ2 = 1242.17, p < 0.05 indicates that there is a significant association between democracy and citizens’ trust in the police (reject the null hypothesis). This affirms the hypothetical thought that trust in the police is an integral part of any democracy. Further, the association is significantly strong (p-value < 0.05). This study finds meaning in enhancement of policing and social democracy. Therefore, it is true that trust in the police is important for democracy in Africa.

Scenario 2: Trust in Police and Residence

The hypothetical thought that there is a relationship between citizen trust in the police and whether respondents reside in rural, urban or semi-urban. The categorical data analysis design is used to answer the research question, ‘Is there an association between citizen trust in the police and whether respondents reside in rural, urban or semi-urban?’ The null hypothesis states that there is no relationship between citizens’ trust in the police and residence block.

 

Q59h. Trust police * Urban or Rural Primary Sampling Unit Crosstabulation

 

Urban or Rural Primary Sampling Unit

Total

Urban

Rural

Semi-Urban

Q59h. Trust police

Not at all

Count

5216

5937

104

11257

% within Urban or Rural Primary Sampling Unit

26.6%

19.6%

15.5%

22.3%

Just a little

Count

5360

7082

178

12620

% within Urban or Rural Primary Sampling Unit

27.4%

23.4%

26.5%

25.0%

Somewhat

Count

5130

7973

177

13280

% within Urban or Rural Primary Sampling Unit

26.2%

26.4%

26.3%

26.3%

A lot

Count

3878

9237

213

13328

% within Urban or Rural Primary Sampling Unit

19.8%

30.6%

31.7%

26.4%

Total

Count

19584

30229

672

50485

% within Urban or Rural Primary Sampling Unit

100.0%

100.0%

100.0%

100.0%

 

Table 4: Cross-tabulation of trust in the police and residence.

A very little proportion of the urban populace (20%) have a lot of trust in the police, which is relatively low compared to 31% of Rural and 32% of the Semi-Urban. Those who do not trust in the police at all are composed of 27% proportion of the urban residents, 20% of the rural populace, and 16% of the semi-urban. The bivariate tabulation indicates that there is variation in level of police trust based on residence.

Chi-Square Tests

 

Value

df

Asymp. Sig. (2-sided)

Pearson Chi-Square

877.477a

6

.000

Likelihood Ratio

893.555

6

.000

Linear-by-Linear Association

794.593

1

.000

N of Valid Cases

50485

 

 

Table 5: Test of Association table

Symmetric Measures

 

Value

Approx. Sig.

Nominal by Nominal

Phi

.132

.000

Cramer's V

.093

.000

N of Valid Cases

50485

 

Table 6: Strength of association analysis

The results of the test indicate that there is a significant association between citizens’ trust in the police and residence (χ2 = 877.48, p < 0.05). Therefore, the null hypothesis is rejected. The Phi and Crammer’s V test indicate that the association between the two variables is indeed strong. These results affirm the hypothesis of relationship between the variables. The social meaningfulness of this study is found in the assessment of policing around regions and aligning of police duties. Among the possible array of reasons for this are media influence (based on media reports of police misconduct) and political ideologies based on exposure (Wang & Sun, 2018).

Current Economic Conditions and Extent of a Democracy

The study is set to furnish the research question – Is there any relationship between citizen’s perceptions of a country’s current economic conditions and the extent of democracy? To sufficiently answer this, the null hypothesis that there is no association between a citizen’s perceptions of a country’s current economic conditions and the extent of democracy is tested.

 

Fig 1: Bivariate bar-graph of perception of present economic condition and extent of democracy.

 

 

ents (40%), indicated to be having no trust at all in the police.

Chi-Square Tests

 

Value

df

Asymp. Sig. (2-sided)

Pearson Chi-Square

2562.469a

12

.000

Likelihood Ratio

2496.936

12

.000

Linear-by-Linear Association

2177.962

1

.000

N of Valid Cases

47543

 

 

 

Table 7: Test of Significance Association

 

Symmetric Measures

 

Value

Approx. Sig.

Nominal by Nominal

Phi

.232

.000

Cramer's V

.134

.000

N of Valid Cases

47543

 

 

Table 8: Test of Strength of Association.

 

The bivariate tabulation indicates that there is variation in citizens’ perception of current economic status of the country based on extents of democracy. Further, the χ2 = 2562.47, p < 0.05 results indicate that there is a significant relationship between citizen’s perceptions of a country’s current economic conditions and the extent of democracy (null hypothesis is rejected). Moreover, the association is proved to have significant strength by the Phi and Cramer’s V tests (p < 0.05). This affirms that there is a significantly strong association between citizen’s perceptions of a country’s current economic conditions and the extent of democracy. This aids in the socio-economic discipline to ascertain level of citizen satisfaction with government policies and development. Among the possible reasons for this phenomenon are visible results of delegation of authority and regulations of social conflicts, education, healthcare, higher human capital accumulation, lower inflation, lower political instability, and higher economic freedom (Song, Berger, & Kim, 2017).

 

 

References

Frankfort-Nachmias, C., & Leon-Guerrero, A. (2017). Social statistics for a diverse society. Sage Publications.

Song, T., Berger, P. D., & Kim, H. (2017). Democracy and Economic Growth. Journal of Business Management and Economics5(6), 14-24.

Wang, S. Y. K., & Sun, I. Y. (2018). A comparative study of rural and urban residents’ trust in police in Taiwan.

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