The following data summarize the results from an independent-measures study comp
ID: 3152456 • Letter: T
Question
The following data summarize the results from an independent-measures study comparing three treatment conditions.
N = 12
G = 48
EX2 = 238
I (M = 4 / T = 16 / SS = 2) II ( M = 4 / T = 16 / SS = 12 ) III ( M = 8 / T = 32 / SS = 16
4 3 8
3 1 4
5 3 6
4 1 6
A. Calculate the sample variance for each of the three samples.
B. Use an ANOVA with a(fish tail symbol) = .05 to determine whether there are any significant differences among the three treatment means
Explanation / Answer
ANOVA: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
I
4
16
4
0.6667
II
4
8
2
1.3333
III
4
24
6
2.6667
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
32.0000
2
16.0000
10.286
0.0047
4.26
Within Groups
14.0000
9
1.5556
Total
46.0000
11
Level of significance
0.05
Calculated F=10.286
Critical value of F(2,9) at 5% level =4.26
Calculated F=10.286 > 4.26, the table value.
The null hypothesis is rejected.
We conclude that there is significant differences among the three treatment means.
ANOVA: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
I
4
16
4
0.6667
II
4
8
2
1.3333
III
4
24
6
2.6667
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
32.0000
2
16.0000
10.286
0.0047
4.26
Within Groups
14.0000
9
1.5556
Total
46.0000
11
Level of significance
0.05
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