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Social statistics assignment : Cross-Tabs and Chi-Square…

SOC 399: HW 4
(submit online in D2L: D2L > Activities >Assignments > HW 4)

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Instructions: Please read the information provided for each of the following questions and provide the necessary SPSS outputs and responses. Be sure to include each of the required pieces of information for each question in order to receive full credit. Assignments must be saved asone word or pdf file and submitted online via Dropbox in D2L.
Cross-Tabs and Chi-Square

Using the GSS12data, create a crosstab examining the relationship between DEGREE (level of education; independent variable) and RUDEWK (how often the respondent is treated rudely at work; dependent variable). Do you observe a relationship between people’s education level and what they report on this question (is there a statistically significant relationship between these two variables in the population)? Test this relationship with the appropriate significance test. Analyze > Descriptive Statistics > Crosstabs > Row: (DV) > Column: (IV) > Cells: Percentages > Statistics: Chi-Square.
    Provide your outputs from SPSS.

Case Processing Summary
Cases
Valid Missing Total
N Percent N Percent N Percent
TREATED RUDELY AT WORK * RS HIGHEST DEGREE 1137 57.6% 837 42.4% 1974 100.0%

TREATED RUDELY AT WORK * RS HIGHEST DEGREE Crosstabulation
RS HIGHEST DEGREETotal
LT HIGH SCHOOLHIGH SCHOOLJUNIOR COLLEGEBACHELORGRADUATE
TREATED RUDELY AT WORKOftenCount12029335
% within RS HIGHEST DEGREE0.8%3.7%2.1%3.6%2.2%3.1%
SometimesCount852131819110
% within RS HIGHEST DEGREE6.7%9.7%13.5%7.2%14.1%9.7%
RarelyCount15117257740274
% within RS HIGHEST DEGREE12.6%21.8%26.0%30.7%29.6%24.1%
NeverCount953475614773718
% within RS HIGHEST DEGREE79.8%64.7%58.3%58.6%54.1%63.1%
TotalCount119536962511351137
% within RS HIGHEST DEGREE100.0%100.0%100.0%100.0%100.0%100.0%
Chi-Square Tests
Value df Asymptotic Significance (2-sided)
Pearson Chi-Square 32.851a 12 .001
Likelihood Ratio 34.104 12 .001
Linear-by-Linear Association 8.806 1 .003
N of Valid Cases 1137
a. 3 cells (15.0%) have expected count less than 5. The minimum expected count is 2.96.

What % of those with less than a HS education reports “never”?

79.8%

What % of those with a bachelor’s degree reports “never”?

58.6%

What % of those with a graduate degree reports “never”?

54.1%

What is the chi-square value?

What is the level of significance?
How would you formally interpret this result? (Give a Step 5 statement)

MoA

Consider the strength and direction of the relationship you examined in #1, by applying one of the measures of association. Examine the relationship and report your findings. Analyze > Descriptive Statistics > Crosstabs > Row: (DV) > Column: (IV) > Cells: Percentages > Statistics: **Choose the correct MOA**.
    Provide your output from SPSS (do not need to include cross tabulation again only the association outcome).
    What is the appropriate measure of association (MOA – lambda or gamma)?
    Why?
    Describe the relationship between the two variables, i.e. consider the strength and direction of the relationship.
    Interpret the output in terms of the error that is reduced by knowledge of the independent variable.

Correlations

Is there an association between the violent crime rate (CRS35) and per capita state and local spending on police protection (LES65)? Use the STATES10 data to test this relationship.
    First, run a scatterplot: Graphs > Legacy Dialogs > Scatter/Dot (simple scatter) > Y axis: LES65, X axis: CRS35. Next, generate a correlation matrix: Analyze > Correlate > Bivariate > Variables: LES65, CRS35> Options: Means and Standard Deviations. Provide your SPSS outputs including the Scatterplot, Descriptive Statistics, and Correlations.
    What is the correlation (value) between these two variables?
    What is the level of significance?
    Describe the relationship between local/state spending and violent crime (what does the correlation coefficient tell you – hint: remember strength and direction)?

Select two interval-ratio level variables from any of the datasets listed in D2L and examine the relationship between them by generating a scatterplot and correlation matrix (as you did in #3 above).
    Provide your SPSS outputs.
    What is the correlation (value) between these two variables?
    What is the level of significance?
    Is the outcome of your test statistically significant?
    Describe the relationship between your 2 variables.


    (Bonus +5) Generate a regression output based on the two variables you identified in #4. Include the coefficients output and insert the values into the regression equation.

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