Agriculture Reference
In-Depth Information
Example 12.6.
Using the SPAR1 software for
the same example and taking the first ten
characters into consideration with the following
four groups, the output would be as given below:
(continued)
L(I)xD(I)x100/DSQ values
0.3423 7.8917 0.1270 7.7969 32.4094
0.5448 40.7367 4.6896 23.6830 7.6258
Fisher's Discriminant Analysis
char means group 1
d-square
¼
0.61692864E+01
hotelling t-
square
¼
0.29612570E+02
32.97 150.55 131.38 20.61 171.95
102.44
21.96 32.19
F value for testing T-SQ
¼
1.481 WITH 10
10.15 133.29
7.37
2.04 179.54 1625.25 270.99
1.89
AND 9 D.F.
2.18
11.84
8.02
centroid discriminant scores for groups 1 and 2 are -
27.3625 and -33.5317
groups 1 3
char means group 2
32.99 147.77 133.72 20.00 154.33
102.68
23.61 31.74
group diff. D(I), S
9.28 136.86
8.10
2.19 190.32 1642.42 273.74
1.75
3.13
0.96
3.07
0.22
14.78
3.78
2.40
2.39
13.21
8.47
3.35 0.72
-6.18
char means group 3
t-values for d(i),s
2.27
0.20
0.56
0.26
1.70
1.38
2.53
36.10 149.59 128.31 20.40 157.17
106.21
24.36 28.84
1.70
1.50
1.65
9.43 139.47
8.52
2.34 209.62 1643.08 282.55
1.69
2.41
12.76
8.09
DETERMINANT OF POOLED VAR/COV MATRIX
¼
0.31849705E+11
char means group 4
DISCRIMINANT FUNCTION COEFFICIENTS
L(I),S
36.19 154.52 143.88 21.82 169.52
106.80
24.82 32.04
9.82 147.21
9.78
2.52 221.64 1696.59 301.91
1.65
0.2534
0.2416 0.2667 0.0395
0.0181
0.5544
2.3654
1.4696 0.8977
0.4154
2.48 13.49 8.33
chars included in dis. function
L(I)xD(I) VALUES
0.7929
0.2322 0.8198 0.0085
0.2677 2.0936
12345678910
5.6731
4.9189
0.6486 2.5654
groups 1 2
L(I)xD(I)x100/DSQ VALUES
11.0382
3.2321 11.4131 0.1186
3.7266 29.1462
group diff. d(i),s
78.9766
68.4772 9.0293 35.7139
0.02
2.78
2.34
0.61
17.61
0.24
1.65
0.45
0.87
3.57
D-SQUARE
0.71832473E+01 HOTELLING T-
SQUARE ¼ 0.34479590E+02
¼
t-values for D(I),S
0.02
0.66
0.50
0.68
3.18
0.07
F VALUE FOR TESTING T-SQ
¼
1.724 WITH 10
1.95
0.20
1.90
0.94
AND 9 D.F.
determinant of pooled var/cov matrix
¼
0.43857635E+11
CENTROID DISCRIMINANT SCORES FOR GROUPS 1
AND 3 ARE -214.2960 AND -221.4792
GROUPS 1 4
discriminant function coefficients L(I),S
0.9938
0.1752
0.0033 0.7923 0.1135
0.1393
1.5224
0.6471 1.6698
0.1320
GROUP DIFF. D(I),S
3.22
3.96 -12.50
1.21
4.36
2.86
L(I)xD(I) values
0.0211 0.4869 0.0078 0.4810 1.9994 0.0336 2.5132
0.2893
2.43
0.33 13.92
0.15
1.4611 0.4705
(continued)
(continued)
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