There are two parts to this assignment. The first part is about correlation
and regression analysis. The second part is about an independent
samples t-test analysis.
Part I: Correlation and Regression Analysis
Please open the file name personality.sav. In this exercise, you will focus
on the relationship of two variables, beckdep (measure of depression)
and emcontot (measure of emotional control). These variables are from
two instruments used in psychology, the Beck Depression Inventory,
which is used to measure characteristics related to depression, and the
Courtauld Emotional Control Scale (CECS), which is used to measure
subjective control of feelings of depression, anger, and anxiety in
uncomfortable situations; this is a self-description instrument.
Imagine that you are interested in assessing the relationship between
these two instruments, with the goal of using the emcontot scores as a
predictor of the beckdep scores.
1. In SPSS, calculate the Pearson’s correlation between beckdep and
emcontot.
a. What are the null and alternative hypotheses?
b. Present a scatterplot with beckdep scores in the Y-axis, and
emcontot in the X-axis.
c. What type of relationship is depicted in the scatterplot,
positive or negative?
d. Conduct the correlation analysis using the correlate menu in
SPSS.
e. Report the results of the correlation analysis.
f. What was the amount of variance shared by the two
variables?
g. What is your decision regarding the null hypothesis based on
the results of the correlation analysis?
2. In SPSS, develop a regression model between the variables
emcontot and beckdep.
a. Which of these variables is the dependent (predicted)
variable?
b. Conduct the regression analysis using the regression menu
in SPSS.
c. What is the mean and standard deviation for emcontot and
beckdep?
d. What is the R-value? Is the value similar to the correlation
coefficient conducted above? If so, why do you think it is
similar?
e. What is the value of the R square? What does that value tell
you about the amount of variance predicted by emcomtot on
beckdep?
f. Was the model significant? How could you determine this?
g. Report the results of the regression in the APA format.
h. Develop the regression equation for the predicted variable
i. Using the Regression equation developed above, please
estimate the Beck Depression Inventory score for an
individual who scores 2.50 in the emcontot (CECS).
Part II: t – test Analysis
For Part II, you are now interested in examining differences in the Beck
Depression Inventory score exist between individuals who are married
and not married. In order to determine if differences exist, you will use
the variable name marital as the independent variable and beckdep as
the dependent variable.
Once you examine the variable marital, you realize that the variable
included six different categories. Therefore, the variable needs to be
recoded in two categories, single (including separated, divorce, or
widowed) and married; because the independent samples t – test is used
to compare differences between two groups.
In SPSS, conduct an independent samples t – test:
1. Conduct the independent samples t – test, including the
assumptions tests.
2. There are three main assumptions needing to be satisfied before
using the independent-samples t – test for testing differences
between the genders. Use SPSS to generate the output needed to
test the assumptions. Please discuss each one and explain
whether each has been met using SPSS output as needed to
include the Shapiro-Wilk test for normality (used when the sample
size is less than 50), histograms, and the Levene’s test.
Remember, if the population value is unknown, it is permissible to
infer from sample values. Regardless of sample size, test whether
these assumptions are met.
3. What are the null and alternative hypotheses?
4. What is the mean of the Beck Depression Inventory for the single
and married groups?
5. What is the value of t?
6. What is the associated probability?
7. Report the results in APA format.
8. What might be concluded from this hypothetical study? (Hint: The
decision about the null hypothesis.)
Length: Complete responses to all parts of all questions in both parts of
the assignment. Please include the question prompts along with your
responses in your assignment submission. In addition to a WORD ( )
file with the answers to the assignment questions, also include the
output (.spv) file. (NOTE: SPSS automatically generates the .spv file as
you work in SPSS. When you close your SPSS main window, SPSS will
ask you if you want to save the output file. Click ‘yes’, then save to your
computer and upload with your assignment.)
References: No references are required, though any sources used other
than those provided within the assignment should be cited and
referenced in APA format.
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