The SAS System 09:38 Wednesday, December 2, The CANDISC Procedure
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1 The SAS System 09:38 Wednesday, December 2, Observations 67 DF Total 66 Variables 43 DF Within Classes 65 Classes 2 DF Between Classes 1 Class Level Information Variable SPECIES Name Frequency Weight Proportion 1 _ _
2 The SAS System 09:38 Wednesday, December 2, Pairwise Squared Distances Between Groups 2-1 D (i j) = (X - X )' COV (X - X ) i j i j Squared Distance to SPECIES From SPECIES Because the pooled covariance matrix is singular, the F statistics and p-values are not valid and will not be displayed.
3 The SAS System 09:38 Wednesday, December 2, Univariate Test Statistics F Statistics, Num DF=1, Den DF=65 Total Pooled Between Standard Standard Standard R-Square Variable Label Deviation Deviation Deviation R-Square / (1-RSq) F Value Pr > F DIST_WAT DIST_OPE TREE_SP TREE_HT <.0001 DBH <.0001 NEST_HT <.0001 _NEST_HT DEG_SLOP AVG_CAN <.0001 AVG_SH_D AVG_SH_I CAN_DE <.0001 _CAN_CON <.0001 TOT CA _UND_DEC _UND_CON <.0001 TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS <.0001 AVG_DBHC <.0001 Can <.0001 Can Can Can Can Can Can Can Can12 Can <.0001 Can22 Can Can32 Can Can42 Can Can52 Can Can62 Can Can72 Can Can82 Can _ <.0001 _ <.0001 _INTO_ <.0001
4 The SAS System 09:38 Wednesday, December 2, Average R-Square Unweighted Weighted by Variance Multivariate Statistics and Exact F Statistics S=1 M=10.5 N=20.5 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda <.0001 Pillai's Trace <.0001 Hotelling-Lawley Trace <.0001 Roy's Greatest Root <.0001
5 The SAS System 09:38 Wednesday, December 2, Adjusted Approximate Squared Canonical Canonical Standard Canonical Correlation Correlation Error Correlation Eigenvalues of Inv(E)*H = CanRsq/(1-CanRsq) Test of H0: The canonical correlations in the current row and all that follow are zero Likelihood Approximate Eigenvalue Difference Proportion Cumulative Ratio F Value Num DF Den DF Pr > F <.0001 NOTE: The F statistic is exact.
6 The SAS System 09:38 Wednesday, December 2, Total Canonical Structure Variable Label Can1 Can2 Can3 Can4 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can12 Can Can22 Can Can32 Can Can42 Can Can52 Can Can62 Can Can72 Can Can82 Can _ _ _INTO_
7 The SAS System 09:38 Wednesday, December 2, Total Canonical Structure Variable Can5 Can6 Can7 Can8 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can _ _ _INTO_
8 The SAS System 09:38 Wednesday, December 2, Between Canonical Structure Variable Label Can1 Can2 Can3 Can4 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can12 Can Can22 Can Can32 Can Can42 Can Can52 Can Can62 Can Can72 Can Can82 Can _ _ _INTO_
9 The SAS System 09:38 Wednesday, December 2, Between Canonical Structure Variable Can5 Can6 Can7 Can8 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can _ _ _INTO_
10 The SAS System 09:38 Wednesday, December 2, Pooled Within Canonical Structure Variable Label Can1 Can2 Can3 Can4 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can12 Can Can22 Can Can32 Can Can42 Can Can52 Can Can62 Can Can72 Can Can82 Can _ _ _INTO_
11 The SAS System 09:38 Wednesday, December 2, Pooled Within Canonical Structure Variable Can5 Can6 Can7 Can8 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can _ _ _INTO_
12 The SAS System 09:38 Wednesday, December 2, Total-Sample Standardized Canonical Coefficients Variable Label Can1 Can2 Can3 Can4 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can12 Can Can22 Can Can32 Can Can42 Can Can52 Can Can62 Can Can72 Can Can82 Can _ _ _INTO_
13 The SAS System 09:38 Wednesday, December 2, Total-Sample Standardized Canonical Coefficients Variable Can5 Can6 Can7 Can8 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can _ _ _INTO_
14 The SAS System 09:38 Wednesday, December 2, Pooled Within-Class Standardized Canonical Coefficients Variable Label Can1 Can2 Can3 Can4 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can12 Can Can22 Can Can32 Can Can42 Can Can52 Can Can62 Can Can72 Can Can82 Can _ _ _INTO_
15 The SAS System 09:38 Wednesday, December 2, Pooled Within-Class Standardized Canonical Coefficients Variable Can5 Can6 Can7 Can8 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can _ _ _INTO_
16 The SAS System 09:38 Wednesday, December 2, Raw Canonical Coefficients Variable Label Can1 Can2 Can3 Can4 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can12 Can Can22 Can Can32 Can Can42 Can Can52 Can Can62 Can Can72 Can Can82 Can _ _ _INTO_
17 The SAS System 09:38 Wednesday, December 2, Raw Canonical Coefficients Variable Can5 Can6 Can7 Can8 DIST_WAT DIST_OPE TREE_SP TREE_HT DBH NEST_HT _NEST_HT DEG_SLOP AVG_CAN AVG_SH_D AVG_SH_I CAN_DE _CAN_CON TOT CA _UND_DEC _UND_CON TOT UN _GRN_DEC GRN_CO TOT GR TOT_UNDS BA DENS AVG_DBHC Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can Can _ _ _INTO_
18 The SAS System 09:38 Wednesday, December 2, Class Means on Canonical Variables SPECIES Can1 Can2 Can3 Can Class Means on Canonical Variables SPECIES Can5 Can6 Can7 Can
19 The SAS System 09:38 Wednesday, December 2, Plot of Can1*Can2. Symbol is value of SPECIES. Can1 3 ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ 2-5 ˆ 2 Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ Can2 NOTE: 7 obs had missing values. 1 obs hidden.
20 The SAS System 09:38 Wednesday, December 2, Plot of Can1*Can3. Symbol is value of SPECIES. Can1 3 ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ 2-5 ˆ 2 Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ Can3 NOTE: 7 obs had missing values. 2 obs hidden.
21 The SAS System 09:38 Wednesday, December 2, Plot of Can2*Can3. Symbol is value of SPECIES. Can2 2 ˆ ˆ ˆ ˆ ˆ 1-3 ˆ Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ Can3 NOTE: 7 obs had missing values. 1 obs hidden.
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