Question
In: Statistics and Probability
The following summary table presents the results from an ANOVA comparing four treatment conditions with n=10 participants in each condition.
The following summary table presents the results from an ANOVA comparing four treatment conditions with n=10 participants in each condition. Complete all the values. (3pts)
|
Source |
SS |
Df |
MS |
F |
|
Between treatments |
? |
? |
10 |
? |
|
Within treatments |
? |
? |
? |
|
|
Total |
174 |
? |
Solutions
Expert Solution
k = 4 Number of treatments
Thus, Treatment DF = 4 - 1 = 3
n = 10 participants in each
condition
Thus, N = total participants = 10 * 4 =
40
Tota Df = N - 1 = 40 - 1 = 39
Within Treatments Df = Total Df - Between treatments
Df
= 39 - 3 = 36
MS = SS/Df
Thus, SS = MS * Df
Between treatments SS = Between Treatments MS * Between treatments
Df
= 10 * 3 = 30
Within Treatments SS = Total SS - Between treatments
SS
= 174 - 30 = 144
Within treatments MS = Within treatments SS/Within treatments
Df
= 144 / 36 = 4
F-value = MS between treatment/MS within treatments = 10/4 =
2.5
Filled up table is given below :
| Source | SS | Df | MS | F |
| Between Treatments | 30 | 3 | 10 | 2.5 |
| Within Treatments | 144 | 36 | 4 | |
| Total | 174 | 39 |
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