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SOC3040 Assignment 4 Assignment 4 Social Research: Analysis (SOC 353) Overview This assignment will focus on association, intermediate hypothesis testing, and regression. The breakdown of points is as...

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SOC3040 Assignment 4
Assignment 4
Social Research: Analysis (SOC 353)
Overview
This assignment will focus on association, intermediate hypothesis testing, and regression.
The
eakdown of points is as follows:
Topic Number of Points
Measures of Association 1
Working with SPSS 9
Total 10
Since the first question requires hand calculation, you do not need to type all of your answers using
word processing software. For the question requiring pencil-and-paper calculations, you may
submit your handwritten results (write neatly, please). Be sure to show all of your work, since
partial credit is possible. For the SPSS component of this assignment, please complete all work
using word processing software (e.g., Microsoft Word, Li
e Office, etc.). This assignment is worth
10 points, or 10% of your final grade, though a score of 11% is possible if the bonus question is
completed.
Measures of Association
1. You have been given data to determine the strength of the association between two
variables:
x y
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
Calculate the appropriate measure of association between x and y, given their level
of measurement. Be sure to interpret the strength of the association in light of the
1
thresholds we discussed in class. You only need to keep four decimal places (i.e.,
XXXXXXXXXXin your calculations (1 point)
Working with SPSS
The bulk of this assignment involves using SPSS for co
elation, ANOVA, and regression.
Before turning to the questions, keep the following in mind:
• All analysis must be completed using the GSS data set. Failure to use the
GSS data set will result in a zero for the question.
• For the regression question, you must present a professional quality table. Sim-
ply copying and pasting SPSS output will result in a 10 point penalty.
• Use SPSS for the scatterplot in Question 1 and Excel if you are attempting the optional
onus question.
• You must describe any recoding with enough detail to allow replication.
• Though you may work with variables of your choosing, you may not replicate any
example that we covered in class or provided by Healey.
• Create dummy variables co
ectly using the “recode” procedure we have covered in
class.
• Be sure to both mechanically and substantively interpret your results.
1. Find any two interval-ratio variables that you believe should be associated. Provide a
ief justification for why you believe an association exists and the direction you expect
the association to have. Estimate Pearson’s R and produce a scatterplot of the data.
Interpret your results, paying attention to both R and the scatterplot. (2 points)
2. Find an interval-ratio dependent variable and a categorical variable with at least 3
categories. Briefly state whether you believe that there are significant differences across
the different groups and why. State the null and research hypotheses for your variables
and then estimate an ANOVA. Interpret your results in light of your expectations. (1.5
points)
3. Pick an interval-ratio variable of interest that will serve as your dependent variable,
and at least three independent variables (at least one of these must be interval-ratio,
and one must be dummy variable coded). For each variable that you have selected,
iefly state the expected direction (i.e., positive or negative) of the effect and why
you believe this to be the case. Estimate a linear regression model, table your results
appropriately, and substantively interpret the model (i.e., describe what the results
tell you, given your expectations). Make sure that your regression model significantly
improves your ability to predict y and that you discuss the % of variance explained
y your model, the intercept, each partial slope, and whether the intercept and slopes
are statistically significant. You should also make use of at least two predicted values
when interpreting your results. (5.5 points)
2
Optional Bonus Question: 1 Point
Create an effects display plot in Excel demonstrating the difference in intercepts between
two (or more, as appropriate) categories of a categorical variable across the span of an
interval-ratio independent variable based on the model you estimated in the previous ques-
tion. Interpret this as well. An example of the sort of plot you will need to produce is
provided on this page. Make sure to appropriately title the axes of your graph and give it a
proper title consistent with the standards of professional statistical graphics.
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Answered Same Day Apr 12, 2021

Solution

Pooja answered on Apr 14 2021
118 Votes
Question 1)
    x
    y
    x^2
    y^2
    xy
    0.34
    0.89
    0
    1
    0
    0.64
    -0.69
    0
    0
    0
    1.51
    2.53
    2
    6
    4
    -2
    -0.2
    4
    0
    0
    0.48
    0.37
    0
    0
    0
    0.63
    1.75
    0
    3
    1
    -1.63
    -2.87
    3
    8
    5
    0.44
    -0.71
    0
    1
    0
    0.18
    -0.31
    0
    0
    0
    -1.02
    -1.26
    1
    2
    1
    sum x
    sum y
    sum x^2
    sum y^2
    sum xy
    n
    -0.43
    -0.5
    11
    21
    11
    10
Co
elation coefficient,
There is a strong positive linear relationship between X and Y. that is with the increase in value of X the value of Y also increases.
Question 2)
(1)
I consider two variables namely educ and income06 which are measured by the ratio scale of measurement. With the increase in HIGHEST YEAR OF SCHOOL COMPLETED (educ), I believe that TOTAL FAMILY INCOME (income06) also increases.
    Co
elations
    
    
    TOTAL FAMILY INCOME
    HIGHEST YEAR OF SCHOOL COMPLETED
    TOTAL FAMILY INCOME
    Pearson Co
elation
    1
    .430**
    
    Sig. (2-tailed)
    
    .000
    
    N
    1290
    1290
    HIGHEST YEAR OF SCHOOL COMPLETED
    Pearson Co
elation
    .430**
    1
    
    Sig. (2-tailed)
    .000
    
    
    N
    1290
    1455
    **. Co
elation is significant at the 0.01 level (2-tailed).
The scatterplot shows an upward trend with all points plotted moderately close to each other. Hence it appears that there is a moderate positive linear relationship between education and income06.
With r=0.43, p<5%, I can say that the value of co
elation coefficient is significant. And with r=0.43 there exit a significant positive linear relationship between education and income06.
(2)
I choose income06 as the dependent variable which is measured by the ratio scale of measurement. The independent variable is taken as happy which is categorical in nature. It is categorized as very happy, pretty happy, and not too happy.
I expect people who are very happy is because of abundance of money. And the people who are not too happy have less income.
Null hypothesis, ho: there is no significant difference in the average income between 3 groups of happy namely very happy, pretty happy, and not too happy.
Alternative hypothesis, h1: at least one the average income between 3 groups of happy namely very happy, pretty happy, and not too happy differ significantly.
    ANOVA
    TOTAL FAMILY INCOME
    
    Sum of Squares
    df
    Mean Square
    F
    Sig.
    Between Groups
    2000.243
    2
    1000.121
    30.347
    .000
    Within...
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