This assignment is designed to increase your statistical literacy and proficiency in conducting and
interpreting the one-way ANOVA. You will be completing two one-way ANOVA analyses in SPSS, using
data that are related to specific research scenarios in the behavioral sciences, such as psychology,
social work, and counseling. Behind the scenes knowledge of how this test is conducted is fundamental
to being able to understand and apply research in your related field to your practice. Additionally, SPSS
skills are professionally valuable, as it is one of the most commonly used statistical software packages
in behavioral science settings, both academic and professional.
Instructions
This assignment includes two problem sets that contain research scenarios and related
questions.
For each scenario, you will run an analysis in SPSS. The required product will include the
SPSS output, an APA-style Results section describing the results, and the appropriate graph
inserted as a Figure in APA style.
For all problems, interpret results based on an alpha level of a = .05.
This assignment is worth 60 points.
Please review the SPSS Homework Tutorial in this module for directions on how to run the statistical
test, as well as the Results Sections in APA Style presentation, which includes a template for completing
the APA-style Results sections for the one-way ANOVA. The scenarios begin on the next page.
SPSS HOMEWORK 3 ASSIGNMENT INSTRUCTIONS
OVERVIEW
This assignment is designed to increase your statistical literacy and proficiency in conducting
and interpreting the one-way ANOVA. You will be completing two one-way ANOVA analyses
in SPSS, using data that are related to specific research scenarios in the behavioral sciences, such
as psychology, social work, and counseling. Behind the scenes knowledge of how this test is
conducted is fundamental to being able to understand and apply research in your related field to
your practice. Additionally, SPSS skills are professionally valuable, as it is one of the most
commonly used statistical software packages in behavioral science settings, both academic and
professional.
INSTRUCTIONS
This assignment includes two problem sets that contain research scenarios and related
questions.
For each scenario, you will run an analysis in SPSS. The required product will include
the SPSS output, an APA-style Results section describing the results, and the appropriate
graph inserted as a Figure in APA style.
For all problems, interpret results based on an alpha level of = .05.
This assignment is worth 60 points.
Please review the SPSS Homework Tutorial in this module for directions on how to run the
statistical test, as well as the Results Sections in APA Style presentation, which includes a
template for completing the APA-style Results sections for the one-way ANOVA. The scenarios
begin on the next page.
First-generation
immigrants
Second-generation
immigrants
Non-immigrants
29
39
40
37
36
23
25
36
37
28
18
36
25
28
19
10
17
8
19
28
16
1. Paste SPSS output. (10 pts)
2. Write an APA-style Results section based on your analysis. Include your boxplot as an
APA-style Figure as demonstrated in the APA writing presentation. (Results = 12 pts;
Figure = 8 pts)
Problem Set 1: The One-way ANOVA
Research Scenario: As part of a new prevention program, a clinical psychologist wants to
see whether feelings of alienation differ as a function of immigration status in a local high
school. She divides volunteer students into three categories: first-generation immigrants,
second-generation immigrants, and non-immigrants. She then administers an instrument
assessing feelings of alienation, where higher scores indicate stronger feelings of alienation
from peers, adults, and society in general. Is there a difference in alienation scores among
these three groups?
Using this table, enter the data into a new SPSS data file and run a one-way ANOVA to
test whether there is a difference in feelings of alienation among the three groups. Create
a boxplot to show the difference between the groups. Follow the directions below the
table to complete the homework.
CBT
PT
CBT + PT
30
25
26
31
29
24
32
35
29
21
28
32
25
27
29
30
19
19
24
30
26
23
27
28
1. Paste SPSS output. (10 pts)
2. Write an APA-style Results section based on your analysis. Include your boxplot as an
APA-style Figure as demonstrated in the APA writing presentation. (Results = 12 pts;
Figure = 8 pts)
Submit this assignment by 11:59 p.m. (ET) on Monday at the end of Module/Week 3.
Problem Set 2: The One-way ANOVA
Research Scenario: Twenty-four male adolescents who have been diagnosed with conduct
disorder with a callous-unemotional presentation (CD-CU) are randomly assigned to one of 3
group therapy conditions: cognitive behavioral therapy only (CBT), behavioral parent training
only (PT), and a combination of the two (CBT + PT). Following six months of therapy, the
participants are assessed using the Inventory of Callous Unemotional Traits (ICU; Frick,
2004). On this instrument, higher scores indicate higher levels of conduct problems and
callous-unemotional traits. The scores for each group are shown in the table below.
Using this table, enter the data into a new SPSS data file and run a one-way ANOVA to
test whether there is a difference in ICU scores among the three groups. Create a
boxplot to show the difference between the groups. Follow the directions below the table
to complete the homework.
Running head: THE ONE-WAY ANOVA
1
The One-Way Anova
Student's Name
Course Number
February 04, 2021
Institution Affiliation
THE ONE-WAY ANOVA
2
Question 1
1. Paste the SPSS Output
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
First-generation
Immigrants
7
100.0%
0
.0%
7
100.0%
Second-generation
Immigrants
7
100.0%
0
.0%
7
100.0%
Non Immigrants
7
100.0%
0
.0%
7
100.0%
THE ONE-WAY ANOVA
3
Descriptives
Statistic
Std.
Error
First-generation
Immigrants
Mean
32.71
2.625
95% Confidence
Interval for Mean
Lower Bound
26.29
Upper Bound
39.14
5% Trimmed Mean
32.85
Median
36.00
Variance
48.238
Std. Deviation
6.945
Minimum
23
Maximum
40
Range
17
Interquartile Range
14
Skewness
-.472
.794
Kurtosis
-1.896
1.587
Second-generation
Immigrants
Mean
29.71
2.661
95% Confidence
Interval for Mean
Lower Bound
23.20
Upper Bound
36.23
5% Trimmed Mean
29.96
Median
28.00
Variance
49.571
Std. Deviation
7.041
Minimum
18
Maximum
37
Range
19
Interquartile Range
11
Skewness
-.561
.794
Kurtosis
-.599
1.587
Non Immigrants
Mean
16.29
2.179
95% Confidence
Interval for Mean
Lower Bound
10.95
Upper Bound
21.62
5% Trimmed Mean
16.26
Median
17.00
Variance
33.238
Std. Deviation
5.765
THE ONE-WAY ANOVA
4
Minimum
8
Maximum
25
Range
17
Interquartile Range
9
Skewness
-.140
.794
Kurtosis
-.268
1.587
Percentiles
Percentiles
5
10
25
50
75
90
95
Weighted
Average(Definiti
on 1)
First-generation
Immigrants
23.00
23.00
25.00
36.00
39.00
.
.
Second-
generation
Immigrants
18.00
18.00
25.00
28.00
36.00
.
.
Non Immigrants
8.00
8.00
10.00
17.00
19.00
.
.
Tukey's Hinges
First-generation
Immigrants
27.00
36.00
38.00
Second-
generation
Immigrants
26.50
28.00
36.00
Non Immigrants
13.00
17.00
19.00
ANOVA
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
264.929
5
52.986
2.163
.473
Within Groups
24.500
1
24.500
Total
289.429
6
THE ONE-WAY ANOVA
5
Extreme Valuesb
Case Number
Value
First-generation Immigrants
Highest
1
3
40
2
2
39
3
4
37
Lowest
1
6
23
2
7
25
3
1
29
Second-generation Immigrants
Highest
1
2
37
2
1
36
3
5
36
Lowest
1
4
18
2
6
25
3
7
28a
Non Immigrants
Highest
1
6
25
2
1
19
3
5
19
Lowest
1
4
8
2
2
10
3
7
16
a. Only a partial list of cases with the value 28 are shown in the table of lower extremes.
b. The requested number of extreme values exceeds the number of data points. A smaller
number of extremes is displayed.
2. Write an APA-style Results section based on your analysis. Include your boxplot as
an APA-style Figure, as demonstrated in the APA writing presentation. (Results =
12 pts; Figure = 8 pts)
From the result of the one-way ANOVA above, it is evident that the alienation score differs
significantly across the three groups, F (5,1) = 2.163, p = .473 > 0.05
THE ONE-WAY ANOVA
6
Comparing Turkey’s posthoc results of the three groups, there are smaller scores in non
immigrants (M = 16.29, 95% CI [ 10.95, 21.62]) as compared to First-generation Immigrants ( M
= 32.71, 95% CI [ 26.29, 39.14]).
Therefore, the provided data offer adequate evidence to support claims that there is a difference
in alienation scores among the groups.
Question 2
1) Paste SPSS Output
THE ONE-WAY ANOVA
7
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
CBT
8
100.0%
0
.0%
8
100.0%
PT
8
100.0%
0
.0%
8
100.0%
CBT +
PT
8
100.0%
0
.0%
8
100.0%
THE ONE-WAY ANOVA
8
Descriptives
Statistic
Std. Error
CBT
Mean
29.00
1.336
95% Confidence Interval
for Mean
Lower Bound
25.84
Upper Bound
32.16
5% Trimmed Mean
28.94
Median
29.50
Variance
14.286
Std. Deviation
3.780
Minimum
24
Maximum
35
Range
11
Interquartile Range
7
Skewness
.127
.752
Kurtosis
-.942
1.481
PT
Mean
27.63
1.194
95% Confidence Interval
for Mean
Lower Bound
24.80
Upper Bound
30.45
5% Trimmed Mean
27.75
Median
28.50
Variance
11.411
Std. Deviation
3.378
Minimum
21
Maximum
32
Range
11
Interquartile Range
4
Skewness
-1.022
.752
Kurtosis
1.365
1.481
CBT + PT
Mean
24.50
1.427
95% Confidence Interval
for Mean
Lower Bound
21.13
Upper Bound
27.87
5% Trimmed Mean
24.50
Median
25.00
Variance
16.286
Std. Deviation
4.036
Minimum
19
THE ONE-WAY ANOVA
9
Maximum
30
Range
11
Interquartile Range
8
Skewness
-.313
.752
Kurtosis
-1.094
1.481
Percentiles
Percentiles
5
10
25
50
75
90
95
Weighted
Average(Definitio
n 1)
CBT
24.00
24.00
25.25
29.50
31.75
.
.
PT
21.00
21.00
25.50
28.50
29.75
.
.
CBT +
PT
19.00
19.00
20.00
25.00
27.75
.
.
Tukey's Hinges
CBT
25.50
29.50
31.50
PT
26.00
28.50
29.50
CBT +
PT
21.00
25.00
27.50
ANOVA
Sum of
Squares
df
Mean Square
F
Sig.
CBT
Between Groups
87.500
6
14.583
1.167
.610
Within Groups
12.500
1
12.500
Total
100.000
7
PT
Between Groups
47.875
6
7.979
.249
.908
Within Groups
32.000
1
32.000
Total
79.875
7
THE ONE-WAY ANOVA
10
Extreme Valuesa
Case Number
Value
CBT
Highest
1
8
35
2
7
32
3
4
31
4
1
30
Lowest
1
6
24
2
2
25
3
3
26
4
5
29
PT
Highest
1
4
32
2
8
30
3
1
29
4
7
29
Lowest
1
2
21
2
5
25
3
6
27
4
3
28
CBT + PT
Highest
1
4
30
2
8
28
3
7
27
4
5
26
Lowest
1
2
19
2
1
19
3
6
23
4
3
24
a. The requested number of extreme values exceeds the number of data points. A smaller
number of extremes is displayed.
2) Write an APA-style Results section based on your analysis. Include your boxplot as
an APA-style Figure, as demonstrated in the APA writing presentation. (Results =
12 pts; Figure = 8 pts)
THE ONE-WAY ANOVA
11
The results of one-way ANOVA to test for ICU Score differences among three groups
indicate that ICU Score differed significantly across the three groups, F (6, 1) = 1.167, p = .610 >
0.05.
The results of Tukey’s posthoc comparisons of the three groups indicate that the CBT +
PT (M = 24.50, 95% CI [21.13, 27.87]) gave significantly smaller scores than the CBT(M =
29.00, 95% CI [25.84, 32.16]) and PT (M = 27.63, 95% CI [24.80, 30.45]).
Therefore, the data provides sufficient evidence to support the claim that higher scores
indicate higher levels of conduct problems and callous-unemotional traits
