To test whether students in a higher grade level will be less disruptive in clas
ID: 3293925 • Letter: T
Question
To test whether students in a higher grade level will be less disruptive in class, a school psychologist records the number of documented interruptions during one day of classes from nine local high schools. The sample consisted of nine (n = 9) freshman, sophomore, junior, and senior high school classes. The data for each high school class are given in the table. High School Class Freshman Sophomore Junior Senior 2 5 4 2 4 4 4 1 0 1 0 5 2 0 6 3 4 4 5 4 3 0 0 2 1 2 3 3 2 1 5 4 6 4 5 2 (a) Complete the F-table. (Round your answers to two decimal places.) Source of Variation SS df MS F Between groups Within groups (error) Total (b) Is it necessary to compute a post hoc test? Explain. (Assume alpha equal to 0.05.) Yes, post hoc analyses are appropriate because the ANOVA is significant. No, post hoc analyses are not appropriate because the ANOVA is not significant.
Explanation / Answer
Answer:
To test whether students in a higher grade level will be less disruptive in class, a school psychologist records the number of documented interruptions during one day of classes from nine local high schools. The sample consisted of nine (n = 9) freshman, sophomore, junior, and senior high school classes. The data for each high school class are given in the table. High School Class
Freshman
Sophomore
Junior
Senior
2
5
4
2
4
4
4
1
0
1
0
5
2
0
6
3
4
4
5
4
3
0
0
2
1
2
3
3
2
1
5
4
6
4
5
2
(a) Complete the F-table. (Round your answers to two decimal places.) Source of Variation SS df MS F Between groups Within groups (error) Total
One factor ANOVA
Mean
n
Std. Dev
2.7
9
1.80
Freshman
2.3
9
1.94
Sophomore
3.6
9
2.19
Junior
2.9
9
1.27
Senior
2.9
36
1.81
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
7.19
3
2.398
0.72
.5495
Error
107.11
32
3.347
Total
114.31
35
Calculated F=0.72, P=0.5495 which is > 0.05 level. Ho is not rejected.
(b) Is it necessary to compute a post hoc test? Explain. (Assume alpha equal to 0.05.)
No, post hoc analyses are not appropriate because the ANOVA is not significant.
Freshman
Sophomore
Junior
Senior
2
5
4
2
4
4
4
1
0
1
0
5
2
0
6
3
4
4
5
4
3
0
0
2
1
2
3
3
2
1
5
4
6
4
5
2
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