Heather Wagoner
PS 307/ Statistics for Social Sciences
Assignment Week 6
Chapter 12
12.20 For the following data, assuming a between-groups design, determine:
Group 1: 11, 17, 22, 15
Group 2: 21, 15, 16
Group 3: 7, 8, 10, 6, 4
Group 4: 13, 6, 17, 27, 20
a.
df
between
df
between
=
N
groups
-1=4-1=3
b.
df
within
df
within
=
(
df
1
−
1
)
+
df
(
¿¿
2
−
1
)
¿
+
df
(
¿¿
3
−
1
)
¿
+
df
(
¿¿
4
−
1
)
¿
=3 + 2 + 4
+4=13
a.
df
total
df
total
=
df
between
+
df
within
= 16
b.
The critical value, assuming a
p
level of 0.05
c.
The mean for each group and the grand mean

d.
The total sum of squares
1

Heather Wagoner
PS 307/ Statistics for Social Sciences
Assignment Week 6
e.
The within groups sum of squares
f.
The between-groups sum of squares
2

Heather Wagoner
PS 307/ Statistics for Social Sciences
Assignment Week 6
g.
The rest of the ANOVA source table for these data

3

Heather Wagoner
PS 307/ Statistics for Social Sciences
Assignment Week 6
1
N
∑
(
¿
)
N ’
=
N
groups
¿
=
N ’
=
4
(
1
4
)
+
(
1
3
)
+
(
1
6
)
+
(
1
5
)
=
4
0.95
= 4.21
s
M
=
√
MS
within
N '
=
√
2656.109
4.21
= 25.117
Group 1 (-40.266) vs Group 2(-39.183)
HSD
=
(−
40.266
−−
39.183
)
25.117
= -0.043
Group 1(-40.266) vs Group 3(-50.183)
HSD
=
(−
40.266
−−
50.183
)
25.117
= 0.394
Group 1(-40.266) vs Group 4(-39.916)
HSD
=
(−
40.266
−−
39.916
)
25.117
= -0.013
Group 2(-39.183) vs Group 3(-50.183)
HSD
=
(−
39.183
−−
50.183
)
25.117
= 0.796
Group 2(-39.183) vs Group 4(-39.916)
HSD
=
(−
39.183
−−
39.916
)
25.117
= 0.029
Group 3(-50.183) vs Group (-39.916)
HSD
=
(−
50.183
−−
39.916
)
25.117
= -0.408
12.24 An incomplete one-way between-groups ANOVA source table is shown below.
Compute the missing values.
4

Heather Wagoner
PS 307/ Statistics for Social Sciences
Assignment Week 6
12.40 Two samples of students, one comprised of social science majors and one comprised
of students with other majors, completed the Consideration of Future Consequences scale
(CFC). The accompanying tables include the output from software for an independent-
samples
t
test and a one-way between-groups ANOVA on these data.
a. Demonstrate that the results of the independent samples
t
test and the one-way
between-groups ANOVA are the same. (Hint: Find the
t
statistic for the t test and the
F
statistic for the ANOVA)