Application Assignment: SPSS Hypothesis Testing in Statistics Module 6

This assignment focuses on hypothesis testing using SPSS, covering a two-sample independent t-test, a between-subjects ANOVA, and a Pearson correlation analysis. The research scenario involves a study on the effects of a new medication on cholesterol, HDL cholesterol, and glycosylated hemoglobin levels. Students are required to import data into SPSS, conduct the specified statistical tests, and answer questions based on the output, including interpreting t-scores, F-values, and Pearson correlation coefficients to determine statistical significance. The assignment assesses the student's ability to apply statistical methods to analyze data and draw conclusions about the relationships between variables, such as the impact of medication on cholesterol levels, the differences in HDL between genders, and the correlation between HDL and glycosylated hemoglobin. The solution provides all the answers derived from the SPSS output, including mean values, standard deviations, t-scores, F-values, and correlation scores, along with interpretations of their statistical significance.

Module 6 Application Assignment Worksheet
SPSS Hypothesis Testing
Instructions
For this assignment, you perform a two-sample independent t-test, an ANOVA, and a
correlation analysis related to the data set that has been utilized in the previous two
modules. Import the data into SPSS or, if you correctly saved the data file from the
Module 4 and 5 Assignments, you may open and use that saved file to complete this
Assignment. Type your answers to all questions directly into the worksheet, and paste
the required output at the end of this document.
Submit this Application Assignment by Day 7 of Week 11.
Research Scenario
A researcher is interested in the effect of a new medication on serum cholesterol, HDL
cholesterol, and glycosylated hemoglobin of adults. The researcher randomly selects a
sample of 40 (20 male and 20 female) participants who have been diagnosed with high
cholesterol. Assuring equal distribution of males and females, the participants are
randomly assigned to one of two conditions (or groups): Following pretest measures of
serum cholesterol (chol), high-density lipoprotein cholesterol (HDL), and glycosylated
hemoglobin (glyhb), the experimental group (Group 1) is given the medication for a
period of 6 months while the control group (Group 2) is given a placebo. After the 6
months, chol, HDL, and glyhb are again measured.
The posttest data for each participant are provided in the Module 4 Application
Assignment Data Set Excel file and can be found in the Module 6 Learning Resources.
The codebook for the data provided is as follows:
AGE Age in years
SEX 1 = male, 2 = female
GROUP 1 = medication, 2 = placebo
CHNG_CHOL change in cholesterol from pretest to posttest
HDL High-density lipoprotein at posttest
GLYHB Glycosylated hemoglobin at posttest
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Step 1: Import the Microsoft Excel data file into SPSS or use the correct saved SPSS
data file as noted in the instructions above.
Step 2: Conduct an independent samples t-test to determine if there is a difference
between Group 1 (medication) and Group 2 (placebo) in terms of changes in cholesterol
values. Note that the independent variable is GROUP, and the dependent variable is
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CHNG_CHOL. For this analysis, choose a two-tailed test of significance. (Be sure to
save your output.)
Step 3: Conduct a between-subjects ANOVA to determine if there is a difference
between sex (males vs. females) and HDL. Note that the independent variable is SEX,
and the dependent variable is HDL. For this analysis, choose a two-tailed test of
significance. (Be sure to save your output.)
Step 4: Conduct a Pearson correlation to determine if there is a relationship between
HDL and GLYHB. For this analysis, choose a two-tailed test of significance. (Be sure to
save your output.)
Step 5: Review your SPSS output and answer each of the following questions:
From the independent samples t-test output:
A. What is the mean CHNG_CHOL for Group 1? -5.65
B. What is the CHNG_CHOL standard deviation for Group 1? 4.095
C. What is the mean CHNG_CHOL for Group 2? -0.45
D. What is the CHNG_CHOL standard deviation for Group 2? 1.395
E. What is the calculated t-score (equal variances assumed)? -5.376
F. What is the probability that the obtained t-score was simply due to chance as
opposed to actual gender differences [see “Sig (two-tailed)” on output]?
0.000
G. If the probability associated with the obtained t-score is <0.05, we assume the
results (difference in mean CHNG_CHOL between groups) are much more likely
due to the effects of the medication than to chance. In other words, we would say
the results are statistically significant. Are the results statistically significant (yes
or no)? yes, the results are statistically significant.
From the ANOVA output:
H. What is the mean HDL for group males? 40.85
I.What is the HDL standard deviation for males? 7.788
J. What is the mean HDL for group females? 49.30
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K. What is the HDL standard deviation for females? 7.477
L. What is the calculated F-value? 12.251
M. What is the probability (noted as “Sig” on output) that the obtained F-value was
simply due to chance as opposed to actual gender differences? 0.001
From the correlation output:
N. What is the Pearson correlation score for HDL and GLYHB? -0.587
O. What is the direction of the correlation value and what does this mean?
The direction of the correlation is negative. This in other words would mean that
with the increase in level of HDL there would be a decrease in the level of
GLYHB
P. What is the probability for the obtained Pearson correlation score [see “Sig (two-
tailed)” on output]? 0.000
Q. If the probability associated with the Pearson correlation is <0.05, we assume a
significant relationship. Is there a significant relationship between HDL and
GLYHB? Yes, the relationship is statistically significant.
Step 6: Paste all required SPSS output below.
Independent Sample t-test
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One-Way ANOVA
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Karl-Pearson Correlation
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