Page 276 - DMGT404 RESEARCH_METHODOLOGY

Research Methodology

Notes Solution:
Method 1 Method 2 Method 3
15 22 24
18 27 19
19 18 16
22 21 22
11 17 15
18
85 105 114

1. Sample mean is calculated as follows:

85 105 114
1 x = = 17, 2 x = = 21, 3 x = = 19
5 5 6
2. Grand mean
+
15 18 19 22 11 22 27 18 21 17 + 24 19 16 22 15 18 304
+
+
+
+
+
+
+
+
+
+
+
+
+
x = = = 19
16 16
3. Calculate variance between columns:
n x x x – x (x – x ) 2 n (x – x ) 2
5 17 19 -2 4 5 × 4 = 20
5 21 19 2 4 5 × 4 = 20
6 19 19 0 0 6 × 0 = 0
å ) 2 = 40
( x - x
i n
1

2
( )
å n x - x
2
s = i i = 40 = 20
-
k - 1 3 1
Variance between column = 20
4. Calculation sample variance:
Training method -1 Training method -2 Training method -3
x - x ) 2 x - x ) 2 x - x ) 2
( x - x ( x - x ( x - x
15-17 (-2) = 4 22-21 (1) = 1 18-19 (1) = 1
2
2
2
2
2
2
18-17 (1) = 1 27-21 (6) = 36 24-19 (5) = 25
2
2
2
19-17 (2) = 4 18-21 (-3) = 9 19-19 (0) = 0
2
2
2
22-17 (5) = 25 21-21 (0) = 1 16-19 (-3) = 9
11-17 (-6) = 36 17-21 (-4) = 16 22-19 (3) = 9
2
2
2
2
15-19 (-4) = 16
)
)
)
å ( x - x = 70 å ( x - x = 62 å ( x - x = 60
2
2
2

å ( x x- ) 2 70 å ( x x- ) 2 62 å ( x x- ) 2 60
Sample variance = = , = , =
-
-
n - 1 5 1 n - 1 5 1 n - 1 5 1
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