Stat408
Assignment no 1
Student id
Question #1:
Solution:
Block I
Block II
Block III
Block IV
A
B
D
C
B
C
A
D
C
D
B
A
D
A
C
B
Question #2:
There are three different groups namely A, B and C. There values are
given in the table below.
A
20
25
23
27
B
29
23
34
26
C
35
30
26
50
By using the Completely Randomized (CR) design, complete the following
ANOVA table by filling/calculating the missing values (?).
ANOVA Table
Source of
Variation
SS
df
MS
F
calculate
d
Between Groups
Within Groups
(Error)
Total
?
2
135.25
423.5
694
?
?
?
?
Solution:
CR design
A
B
C
Total
X
2
ij
j
2
i1
Tj
T j2
X
2
ij
2
i2
2
i3
X i1 ( X )
X i2 ( X )
X i3 ( X )
20(400)
25(625)
23(529)
27(729)
95
29(841)
23(529)
34(1156)
26(676)
112
35(1225)
30(900)
26(676)
50(2500)
141
348
9025
12544
19881
41450
2283
3202
5301
10786
i
T 2 (348)2 121,104


 10092
12
12
Correction factor C.f= n
2466
2054
2361
3905
10786
 check 
TotalSS   X ij2  C.F
i
j
 10786  10092
 694
BetweenSS 
T
j
r
2
j
 C.F
41450
 10092
4
 10362.5  10092

 270.5
withSS=totalSS-BetweenSS
=694-270.5
=423.5
Anova Table
Source of
Variation
SS
df
MS
F
calculate
d
135.25
47.05
 2.874

Between Groups
Within Groups
(Error)
Total
270.5
2
135.25
423.5
694
9
11
47.05