|
Example:
The
given below are the adjusted means of 8 characters observed in an
experiment to evaluate 110 genotypes of Lentil conducted using an
alpha-design in 3 replications with block size 10.
|
Genotypes
|
Y1
|
Y2
|
Y3
|
Y4
|
Y5
|
Y6
|
Y7
|
Y8
|
|
1
|
42.43
|
7.51
|
78.32
|
128.24
|
45.26
|
6.51
|
7.74
|
7.66
|
|
2
|
43.83
|
7.91
|
71.20
|
114.71
|
82.90
|
6.51
|
6.34
|
7.05
|
|
3
|
40.77
|
9.77
|
85.47
|
129.50
|
189.22
|
6.64
|
6.91
|
10.09
|
|
4
|
43.35
|
8.18
|
68.25
|
113.16
|
176.59
|
6.77
|
6.57
|
8.91
|
|
5
|
45.74
|
7.97
|
83.52
|
123.77
|
80.53
|
6.57
|
6.83
|
7.34
|
|
6
|
45.43
|
8.11
|
84.45
|
132.23
|
77.30
|
6.47
|
6.81
|
7.35
|
|
7
|
42.68
|
7.68
|
92.47
|
128.09
|
36.70
|
6.55
|
7.16
|
6.43
|
|
8
|
39.18
|
6.64
|
73.50
|
122.04
|
49.24
|
6.25
|
7.20
|
6.75
|
|
9
|
45.98
|
8.10
|
67.41
|
123.39
|
45.25
|
6.20
|
8.01
|
6.68
|
|
10
|
43.64
|
8.56
|
84.44
|
138.81
|
90.98
|
6.64
|
6.28
|
7.04
|
|
11
|
44.68
|
8.11
|
91.71
|
125.12
|
65.78
|
6.40
|
6.49
|
6.51
|
|
12
|
45.90
|
7.50
|
70.85
|
122.81
|
54.94
|
6.36
|
8.85
|
8.48
|
|
13
|
42.61
|
7.57
|
75.78
|
120.91
|
85.98
|
6.57
|
7.02
|
6.91
|
|
14
|
42.56
|
8.21
|
94.64
|
134.48
|
111.13
|
6.65
|
6.60
|
8.06
|
|
15
|
45.86
|
7.78
|
84.67
|
123.80
|
82.93
|
6.67
|
6.75
|
6.89
|
|
16
|
41.70
|
8.00
|
95.02
|
137.69
|
116.10
|
6.63
|
6.58
|
7.45
|
|
17
|
43.25
|
7.78
|
82.50
|
129.05
|
107.23
|
6.68
|
6.83
|
7.46
|
|
18
|
43.05
|
8.10
|
73.76
|
120.28
|
203.81
|
6.64
|
6.65
|
10.18
|
|
19
|
40.24
|
7.48
|
74.66
|
121.99
|
88.66
|
6.69
|
6.53
|
7.46
|
|
20
|
44.43
|
8.32
|
83.58
|
122.86
|
83.86
|
6.58
|
6.58
|
8.57
|
|
21
|
44.34
|
7.81
|
75.01
|
129.42
|
74.00
|
6.61
|
7.53
|
8.53
|
|
22
|
44.67
|
7.98
|
75.55
|
123.79
|
102.31
|
6.62
|
6.72
|
7.85
|
|
23
|
43.54
|
7.65
|
94.30
|
134.73
|
77.17
|
6.53
|
6.93
|
7.26
|
|
24
|
45.10
|
8.01
|
91.40
|
134.84
|
86.93
|
6.52
|
7.32
|
7.12
|
|
25
|
45.03
|
10.15
|
85.85
|
133.02
|
73.07
|
6.63
|
6.32
|
6.85
|
|
26
|
46.82
|
7.54
|
85.22
|
130.92
|
65.22
|
6.63
|
6.59
|
7.10
|
|
27
|
46.52
|
7.65
|
82.51
|
125.34
|
66.98
|
6.59
|
6.60
|
6.90
|
|
28
|
42.33
|
7.20
|
65.85
|
120.38
|
66.24
|
6.61
|
7.41
|
7.17
|
|
29
|
42.98
|
8.06
|
84.04
|
128.80
|
94.25
|
6.65
|
6.91
|
8.18
|
|
30
|
46.19
|
7.60
|
94.02
|
137.15
|
97.35
|
6.59
|
6.26
|
7.38
|
|
31
|
45.69
|
8.03
|
92.94
|
136.41
|
68.96
|
6.47
|
6.41
|
6.54
|
|
32
|
44.46
|
7.79
|
85.94
|
132.44
|
83.46
|
6.65
|
6.74
|
7.15
|
|
33
|
46.50
|
7.92
|
82.59
|
133.78
|
56.92
|
6.39
|
7.11
|
6.43
|
|
34
|
46.45
|
8.30
|
81.20
|
134.81
|
92.09
|
6.43
|
8.09
|
7.52
|
|
35
|
43.05
|
7.98
|
84.54
|
131.97
|
88.59
|
6.62
|
6.59
|
7.78
|
|
36
|
43.64
|
7.49
|
66.53
|
114.51
|
107.24
|
6.78
|
7.11
|
8.29
|
|
37
|
44.57
|
7.76
|
91.55
|
135.29
|
49.93
|
6.48
|
6.94
|
6.74
|
|
38
|
44.34
|
8.00
|
94.67
|
140.19
|
103.65
|
6.48
|
6.50
|
7.40
|
|
39
|
43.65
|
7.66
|
66.88
|
119.78
|
127.28
|
6.59
|
7.13
|
8.70
|
|
40
|
43.58
|
7.92
|
80.75
|
133.31
|
147.71
|
6.79
|
6.40
|
8.58
|
|
41
|
44.45
|
8.06
|
84.76
|
121.68
|
85.58
|
6.10
|
8.22
|
7.75
|
|
42
|
47.87
|
8.12
|
86.94
|
125.43
|
81.97
|
6.39
|
7.61
|
8.11
|
|
43
|
45.23
|
7.22
|
79.38
|
126.39
|
51.82
|
6.33
|
9.44
|
7.25
|
|
44
|
43.53
|
7.55
|
82.47
|
131.00
|
35.56
|
6.04
|
10.36
|
7.59
|
|
45
|
43.13
|
7.52
|
67.45
|
116.49
|
133.48
|
6.70
|
6.59
|
9.20
|
|
46
|
41.95
|
7.34
|
71.86
|
121.80
|
95.91
|
6.74
|
6.52
|
7.58
|
|
47
|
41.06
|
7.28
|
69.43
|
120.32
|
74.69
|
6.65
|
6.78
|
7.18
|
|
48
|
39.71
|
7.24
|
64.23
|
114.25
|
130.62
|
6.76
|
6.59
|
8.83
|
|
49
|
41.30
|
7.18
|
64.53
|
113.78
|
93.68
|
6.78
|
6.52
|
7.71
|
|
50
|
41.95
|
7.30
|
66.53
|
115.44
|
139.30
|
6.71
|
6.32
|
7.96
|
|
51
|
43.48
|
7.38
|
66.36
|
115.12
|
106.66
|
6.74
|
6.24
|
8.01
|
|
52
|
43.22
|
7.56
|
71.29
|
115.29
|
159.95
|
6.68
|
6.44
|
8.54
|
|
53
|
40.15
|
7.31
|
67.65
|
115.35
|
140.49
|
6.77
|
6.69
|
8.48
|
|
54
|
44.30
|
7.73
|
63.26
|
117.41
|
144.21
|
6.71
|
6.59
|
8.42
|
|
55
|
38.25
|
7.24
|
63.71
|
113.24
|
104.85
|
6.76
|
6.69
|
7.46
|
|
56
|
44.07
|
7.53
|
64.34
|
113.68
|
96.62
|
6.75
|
6.48
|
8.01
|
|
57
|
43.79
|
7.75
|
65.22
|
116.27
|
128.92
|
6.70
|
6.55
|
8.58
|
|
58
|
43.11
|
7.68
|
62.48
|
115.50
|
143.87
|
6.79
|
6.52
|
8.97
|
|
59
|
40.87
|
7.55
|
66.39
|
114.95
|
141.49
|
6.79
|
6.43
|
8.31
|
|
60
|
42.98
|
7.36
|
68.64
|
115.32
|
115.23
|
6.72
|
6.46
|
8.06
|
|
61
|
47.40
|
7.76
|
65.37
|
115.10
|
134.99
|
6.64
|
6.60
|
7.41
|
|
62
|
39.00
|
7.67
|
64.94
|
113.05
|
122.66
|
6.72
|
6.49
|
7.71
|
|
63
|
44.38
|
7.41
|
68.30
|
115.99
|
128.34
|
6.76
|
6.66
|
8.65
|
|
64
|
42.13
|
7.19
|
68.88
|
119.77
|
90.78
|
6.67
|
7.21
|
7.90
|
|
65
|
42.68
|
7.40
|
65.26
|
118.73
|
115.82
|
6.79
|
7.03
|
8.35
|
|
66
|
40.62
|
7.85
|
65.17
|
113.06
|
134.02
|
6.79
|
6.38
|
8.44
|
|
67
|
44.43
|
7.40
|
67.14
|
117.82
|
115.09
|
6.73
|
7.37
|
8.47
|
|
68
|
41.56
|
6.94
|
69.03
|
115.53
|
93.68
|
6.63
|
6.79
|
7.23
|
|
69
|
41.07
|
7.00
|
63.97
|
115.42
|
91.20
|
6.83
|
7.53
|
7.92
|
|
70
|
41.10
|
7.71
|
63.98
|
113.52
|
144.02
|
6.86
|
6.65
|
11.09
|
|
71
|
42.45
|
7.12
|
65.92
|
117.29
|
79.98
|
6.75
|
7.18
|
7.15
|
|
72
|
42.12
|
7.35
|
60.95
|
108.99
|
128.10
|
6.77
|
6.40
|
8.13
|
|
73
|
41.00
|
7.33
|
65.33
|
113.44
|
130.96
|
6.77
|
6.37
|
7.97
|
|
74
|
43.67
|
7.64
|
62.95
|
118.32
|
119.09
|
6.72
|
7.15
|
9.26
|
|
75
|
46.49
|
7.97
|
88.06
|
126.87
|
75.97
|
6.58
|
6.53
|
6.78
|
|
76
|
42.98
|
7.39
|
66.57
|
119.79
|
118.84
|
6.65
|
7.04
|
8.54
|
|
77
|
41.01
|
7.02
|
59.90
|
113.64
|
104.40
|
6.70
|
7.09
|
8.36
|
|
78
|
48.85
|
6.84
|
45.32
|
104.53
|
66.53
|
6.75
|
8.27
|
7.69
|
|
79
|
49.60
|
7.17
|
59.37
|
110.36
|
82.16
|
6.76
|
7.93
|
7.80
|
|
80
|
49.50
|
7.40
|
62.24
|
113.10
|
144.37
|
6.50
|
6.64
|
9.01
|
|
81
|
44.53
|
7.63
|
65.14
|
113.71
|
140.34
|
6.76
|
6.74
|
8.31
|
|
82
|
46.59
|
7.47
|
85.08
|
123.53
|
72.37
|
6.67
|
6.37
|
6.74
|
|
83
|
44.78
|
7.47
|
85.72
|
126.54
|
113.46
|
6.69
|
6.59
|
6.92
|
|
84
|
42.22
|
7.33
|
69.77
|
115.38
|
105.00
|
6.70
|
6.67
|
8.11
|
|
85
|
37.10
|
7.13
|
80.79
|
122.32
|
64.18
|
6.44
|
6.29
|
6.69
|
|
86
|
44.42
|
6.94
|
66.76
|
120.34
|
49.67
|
6.33
|
8.35
|
7.28
|
|
87
|
45.53
|
7.52
|
67.79
|
114.47
|
146.09
|
6.71
|
6.54
|
8.13
|
|
88
|
42.50
|
7.48
|
62.49
|
114.59
|
130.72
|
6.79
|
6.61
|
8.24
|
|
89
|
46.06
|
7.67
|
86.69
|
125.51
|
75.84
|
6.44
|
6.44
|
7.12
|
|
90
|
36.44
|
7.45
|
71.74
|
114.81
|
137.22
|
6.73
|
6.28
|
8.23
|
|
91
|
42.67
|
7.36
|
70.64
|
121.17
|
43.06
|
6.71
|
6.79
|
6.13
|
|
92
|
40.44
|
7.06
|
59.99
|
107.81
|
99.93
|
6.86
|
7.11
|
8.53
|
|
93
|
39.35
|
7.51
|
55.26
|
120.88
|
91.51
|
6.63
|
6.86
|
6.98
|
|
94
|
45.41
|
7.08
|
67.92
|
118.80
|
64.25
|
6.63
|
7.93
|
7.61
|
|
95
|
43.19
|
7.32
|
65.39
|
118.82
|
98.70
|
6.67
|
7.07
|
8.18
|
|
96
|
45.43
|
7.52
|
65.12
|
118.90
|
95.82
|
6.79
|
7.61
|
8.21
|
|
97
|
44.34
|
7.48
|
63.66
|
113.72
|
110.46
|
6.79
|
7.02
|
7.97
|
|
98
|
42.76
|
7.25
|
63.02
|
109.59
|
104.84
|
6.84
|
7.08
|
9.16
|
|
99
|
45.07
|
8.56
|
92.05
|
135.80
|
94.57
|
6.68
|
6.55
|
7.60
|
|
100
|
40.96
|
7.39
|
63.33
|
112.40
|
96.36
|
6.76
|
6.90
|
7.56
|
|
101
|
42.15
|
6.97
|
61.06
|
114.76
|
118.46
|
6.78
|
6.71
|
8.42
|
|
102
|
40.36
|
7.00
|
69.93
|
120.29
|
53.84
|
6.23
|
8.44
|
7.15
|
|
103
|
42.68
|
7.81
|
62.51
|
113.08
|
152.97
|
6.75
|
6.83
|
8.49
|
|
104
|
39.78
|
7.00
|
69.38
|
121.18
|
76.18
|
6.57
|
8.58
|
9.46
|
|
105
|
41.20
|
7.06
|
68.03
|
118.67
|
69.91
|
6.61
|
6.48
|
6.91
|
|
106
|
40.65
|
7.16
|
65.63
|
118.89
|
92.78
|
6.71
|
7.03
|
7.99
|
|
107
|
43.32
|
7.78
|
65.56
|
118.91
|
128.72
|
6.82
|
6.92
|
8.63
|
|
108
|
50.53
|
7.07
|
68.18
|
118.80
|
89.23
|
6.72
|
7.84
|
8.66
|
|
109
|
44.89
|
7.82
|
65.60
|
114.99
|
124.45
|
6.77
|
6.67
|
8.40
|
|
110
|
46.23
|
7.72
|
67.76
|
120.83
|
111.15
|
6.72
|
7.52
|
9.12
|
MS-EXCEL
DATA FILE
Note-Adjusted means have been
subjected to change of origin and change of scale so as to retain the rights
of original data in the experiment.
-
Using the data,
compute Euclidean distances between pairs of treatments. Treating the
computed distance as measure of (dis)similarity, perform hierarchical
cluster analysis with unweighted pair-group method using arithmetic
averages (UPGMA) method.
-
Construct the dendrogram.
Analysis
Using SAS
Analysis Using SPSS
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Descriptive
Statistics Tests
of Significance Correlation
and Regression Completely
Randomised Design RCB
Design
Incomplete
Block Design Resolvable
Block Design Augmented
Design Latin
Square Design Factorial
RCB Design
Partially
Confounded Design Factorial
Experiment with Extra Treatments Split
Plot Design Strip
Plot Design
Response
Surface Design Cross
Over Design Analysis
of Covariance Diagnostics
and Remedial Measures
Principal
Component Analysis Cluster
Analysis Groups
of Experiments Non-Linear
Models
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