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 |
5 | 0 | 4 | 1 |
4 | 3 | 3 | 2 |
2 | 0 | 6 | 2 |
0 | 2 | 5 | 4 |
3 | 1 | 0 | 4 |
1 | 5 | 3 | 4 |
3 | 1 | 5 | 5 |
1 | 4 | 0 | 3 |
5 | 4 | 5 | 2 |
(a) Complete the F-table. (Round your answers to two decimal places
of Variation |
SS | df | MS | F |
---|---|---|---|---|
Between groups |
||||
Within groups (error) |
||||
Total |
Here we are calculate by Excel:
Anova: Single Factor | ||||||
SUMMARY | ||||||
Groups | Count | Sum | Average | Variance | ||
Column 1 | 9 | 24 | 2.666667 | 3.25 | ||
Column 2 | 9 | 20 | 2.222222 | 3.444444 | ||
Column 3 | 9 | 31 | 3.444444 | 4.777778 | ||
Column 4 | 9 | 27 | 3 | 1.75 | ||
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Between Groups | 7.22 | 3 | 2.41 | 0.73 | 0.5427 | 2.901 |
Within Groups | 105.78 | 32 | 3.31 | |||
Total | 113 | 35 |
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