A study was conducted for patient with fear of snakes. Four treatments were given
1st was model handled a snake and had the patient imitate
2nd was made to watch a film of kids handeling a king snake
3rd desenitization therepy
4th was a control and was given no treatment
Name the independent and its variables. Name the dependent variables
Compute SS tot, SS treat, and SS error
model
29
27
27
21
Film
22
18
17
15
Desensitization
21
17
16
14
Control
13
12
9
6
in the given problem, we have to fit one way ANOVA model.
dependent variable is- No. of patient with fear of snakes
treatment variable- we have 4 different level of treatment
1-model handled a snake
2-watch a film
3-Desensitization
4-Control
now we fit a ANOVA model using excel
output of excel is-
Anova: Single Factor |
SUMMARY | ||||
Groups | Count | Sum | Average | Variance |
Column 1 | 4 | 104 | 26 | 12 |
Column 2 | 4 | 72 | 18 | 8.666666667 |
Column 3 | 4 | 68 | 17 | 8.666666667 |
Column 4 | 4 | 40 | 10 | 10 |
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Between Groups | 515 | 3 | 171.6666667 | 17.45762712 | 0.000113 | 3.490295 |
Within Groups | 118 | 12 | 9.833333333 | |||
Total | 633 | 15 |
here, ss(total)=633
ss(tret)=515
ss(error)=118
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