1. Complete the blank spaces of this table. Source SS df MS F A 127.44 2 B .222
ID: 3153686 • Letter: 1
Question
1. Complete the blank spaces of this table.
Source
SS
df
MS
F
A
127.44
2
B
.222
1
A x B
110.778
2
Within
166.00
12
----------------------
Total
404.444
17
-----------------------
----------------------
F-critical for A effect =
F-critical for B effect =
F-critical for the interaction =
The effects that are significant are
Write the results statistically -
2. Complete the yellow
A1
A2
A3
B means =
B1
10
30
40
B2
40
30
10
A means =
Copy and paste graph of interaction here:
3. Complete the yellow
A1
A2
A3
B means =
B1
5
10
15
B2
5
15
10
A means =
Copy and paste graph of interaction here:
Source
SS
df
MS
F
A
127.44
2
B
.222
1
A x B
110.778
2
Within
166.00
12
----------------------
Total
404.444
17
-----------------------
----------------------
Explanation / Answer
1) we know the,
MS due to A = SS due to effect A /df for SSA
MS due to B = SS due to effect B /df for SSB
MS due to AB = SS due to effect AB /df for SSAB
MS due to error = SS due to effect error /df for error
FA= MSA/SSerror
FB= MSB/SSB
FAB= MSAB/SS(AB)
The complete ANOVA table is
Source
SS
df
MS
F
A
127.44
2
B
0.222
1
A x B
110.778
2
Within
166.00
12
----------------------
Total
404.444
17
-----------------------
----------------------
For effect A, F value is 4.606265 > table value F(2,12) =3.89 so we reject null hypothesies
For effect B, the F value is 0.016048 < table value F(1,12) =4.75 so we accept null hypothesies.
For interaction AB, the F value is 4.004024> table value F(2,12) =3.89 so we reject null hypothesies.
2)
Complete the table is
A1
A2
A3
B means =
B1
10
30
40
B2
40
30
10
A means =
3)
A1
A2
A3
B means =
B1
5
10
15
B2
5
15
10
A means =
Source
SS
df
MS
F
A
127.44
2
127.44/2 = 63.72 4.606265B
0.222
1
0.222/1=0.222 0.016048A x B
110.778
2
110.778/2=55.389 4.004024Within
166.00
12
166/12=13.8333----------------------
Total
404.444
17
-----------------------
----------------------
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.