Estimation of Missing Value
in
LS Design
lecture - 15
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Example:
Estimate the missing value by using LS design
|
B (4) |
C (7) |
D (2) |
|
|
B (5) |
C (9) |
D (3) |
A (11) |
|
C (6) |
D (5) |
A (?) |
B (3) |
|
D (5) |
A (9) |
B (6) |
C (7) |
Solution:
Let
the missing value is represented by x
|
Rows
|
Column
|
Ti
. . |
Sqr
Ti . . |
|||
|
|
A (10) |
B (4) |
C (7) |
D (2) |
23 |
529 |
|
|
B(5) |
C (9) |
D(3) |
A (11) |
28 |
784 |
|
|
C(6) |
D(5) |
A (x) |
B(3) |
14
+ x |
(14
+ x)^2 |
|
|
D
(5) |
A
(9) |
B
(6) |
C
(7) |
27 |
729 |
|
T.
j . |
26 |
27 |
16
+ x |
23 |
92
+ x |
2042
+ (14+x)^2 |
|
Sqr
T. j . |
676 |
729 |
(16
+ x)^2 |
529 |
1934
+ (16 +x)^2 |
|
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Treatment arrangement
|
|
Treatment |
|||
|
|
A |
B |
C |
D |
|
|
10 |
4 |
7 |
2 |
|
|
11 |
5 |
9 |
3 |
|
|
X |
3 |
6 |
5 |
|
|
9 |
6 |
7 |
5 |
|
T..
k |
30
+ x |
18 |
29 |
15 |
|
Sqr
T.. k |
(30
+ x)^2 |
|
|
|
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