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1. Complete this table. Control GroupA 1 PsychoanalysisA 2 CBTA 3 X1 7 7 3 X2 10

ID: 3153008 • Letter: 1

Question

1.             Complete this table.

Control GroupA1

PsychoanalysisA2

CBTA3

X1

7

7

3

X2

10

5

3

X3

6

6

2

X4

8

5

3

X5

10

5

4

X6

10

6

2

X barA1

SX (A1)

SX2

               

            SST   =         

            SSA   =        

            SSS/A =        

Copy and paste ANOVA table here:

               

F-critical =      

Are the groups statistically different?       

Write the results statistically:       

What do you do next?      

Why?      

Which groups are different?        

Control GroupA1

PsychoanalysisA2

CBTA3

X1

7

7

3

X2

10

5

3

X3

6

6

2

X4

8

5

3

X5

10

5

4

X6

10

6

2

X barA1

SX (A1)

SX2

Explanation / Answer

From Excel

SST=118

SS with in=21.67

SS Between=96.3

A) F critical value=3.6823

B) Since P=0.00000< 0.05 we conlcude that the group means are significant.

C) Since we reject the H0

ie., Atleast we one group mean is different

Next we need to find which is significantly differ for that we need to apply Tukey Test

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Control GroupA1 6 51 8.5 3.1 PsychoanalysisA2 6 34 5.666667 0.666667 CBTA3 6 17 2.833333 0.566667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 96.33333 2 48.16667 33.34615 3.02E-06 3.68232 Within Groups 21.66667 15 1.444444 Total 118 17