F Statistics, NDF=8,
DDF=4 for Squared Distance to Known
From
Known E L M
E 0 1.27019 2.01770
L 1.27019 0 2.40692
M 2.01770 2.40692 0
Prob
> Mahalanobis Distance for Squared Distance to
Known
From
Known E L M
E 1.0000 0.4354 0.2598
L 0.4354 1.0000 0.2066
M 0.2598 0.2066 1.0000
Pairwise
Generalized Squared Distances Between Groups
2 _
_ -1 _
_
D (i|j) = (X - X )' COV (X - X )
i
j i j
Generalized
Squared Distance to Known
From
Known E L M
E 0 11.17767
19.97527
L 11.17767 0 23.82850
M 19.97527 23.82850 0
The
SAS System 13:03 Friday,
December 1, 2006 252
The
DISCRIM Procedure
Univariate Test Statistics
F
Statistics, Num DF=2, Den DF=11
Total Pooled Between
Standard Standard Standard R-Square
Variable
Deviation Deviation Deviation R-Square
/ (1-RSq) F Value Pr > F
FreqA 20.8159 22.3489
3.8554 0.0246 0.0253 0.14
0.8718
FreqB 38.1841 31.4104 29.4623 0.4274 0.7465 4.11
0.0466
FreqC 70.1399 61.5959 48.7929 0.3474 0.5324 2.93
0.0956
ClustA 1.1563 1.0630 0.7284 0.2849 0.3984 2.19
0.1582
ClustB 0.8812 0.9027 0.3482 0.1121 0.1262 0.69
0.5201
ClustC 2.3859 2.3631 1.1606 0.1699 0.2047 1.13
0.3591
dbhA 2.6707 2.6065 1.3883 0.1940 0.2407 1.32
0.3053
dbhC 0.5790 0.5435 0.3447 0.2544 0.3412 1.88
0.1990
Average R-Square
Unweighted
0.2268454
Weighted by
Variance 0.3436799
Multivariate
Statistics and F Approximations
S=2 M=2.5 N=1
Statistic Value F Value
Num DF Den DF Pr > F
Wilks'
Lambda 0.04786501 1.79 16 8
0.2051
Pillai's
Trace 1.54512169 2.12 16 10
0.1147
Hotelling-Lawley
Trace 7.50335734 1.88 16 4
0.2866
NOTE: F Statistic for
NOTE: F Statistic for Wilks' Lambda is exact.