                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                            Class Level Information
                    Class    Levels    Values
                    SPECIES       3    Color Setosa Virginic
                    Number of observations in data set = 150
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: SEPLEN   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    2      63.21213333     31.60606667    119.26     0.0001
Error                  147      38.95620000      0.26500816
Corrected Total        149     102.16833333
                  R-Square             C.V.        Root MSE          SEPLEN Mean
                  0.618706         8.809859       0.5147894            5.8433333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2      63.21213333     31.60606667    119.26     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: SEPWID   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    2      11.34493333      5.67246667     49.16     0.0001
Error                  147      16.96200000      0.11538776
Corrected Total        149      28.30693333
                  R-Square             C.V.        Root MSE          SEPWID Mean
                  0.400783         11.11059       0.3396877            3.0573333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2      11.34493333      5.67246667     49.16     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: PETLEN   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    2     437.10280000    218.55140000   1180.16     0.0001
Error                  147      27.22260000      0.18518776
Corrected Total        149     464.32540000
                  R-Square             C.V.        Root MSE          PETLEN Mean
                  0.941372         11.45116       0.4303345            3.7580000
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2     437.10280000    218.55140000   1180.16     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: PETWID   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    2      80.41333333     40.20666667    960.01     0.0001
Error                  147       6.15660000      0.04188163
Corrected Total        149      86.56993333
                  R-Square             C.V.        Root MSE          PETWID Mean
                  0.928883         17.06365       0.2046500            1.1993333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2      80.41333333     40.20666667    960.01     0.0001
                             E = Error SS&CP Matrix
                   SEPLEN            SEPWID            PETLEN            PETWID
 SEPLEN           38.9562             13.63           24.6246             5.645
 SEPWID             13.63            16.962            8.1208            4.8084
 PETLEN           24.6246            8.1208           27.2226            6.2718
 PETWID             5.645            4.8084            6.2718            6.1566
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                       Multivariate Analysis of Variance
   Partial Correlation Coefficients from the Error SS&CP Matrix / Prob > |r|
               DF = 147      SEPLEN    SEPWID    PETLEN    PETWID
               SEPLEN      1.000000  0.530236  0.756164  0.364506
                             0.0001    0.0001    0.0001    0.0001
               SEPWID      0.530236  1.000000  0.377916  0.470535
                             0.0001    0.0001    0.0001    0.0001
               PETLEN      0.756164  0.377916  1.000000  0.484459
                             0.0001    0.0001    0.0001    0.0001
               PETWID      0.364506  0.470535  0.484459  1.000000
                             0.0001    0.0001    0.0001    0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                       Multivariate Analysis of Variance
                      H = Type I SS&CP Matrix for SPECIES
                   SEPLEN            SEPWID            PETLEN            PETWID
 SEPLEN      63.212133333      -19.95266667          165.2484      71.279333333
 SEPWID      -19.95266667      11.344933333          -57.2396      -22.93266667
 PETLEN          165.2484          -57.2396          437.1028           186.774
 PETWID      71.279333333      -22.93266667           186.774      80.413333333
           Characteristic Roots and Vectors of: E Inverse * H, where
          H = Type I SS&CP Matrix for SPECIES   E = Error SS&CP Matrix
 Characteristic   Percent                Characteristic Vector  V'EV=1
      Root
                                         SEPLEN         SEPWID         PETLEN
                                         PETWID
     32.1919292     99.12           -0.06840592    -0.12656121     0.18155288
                                     0.23180286
      0.2853910      0.88            0.00198791     0.17852670    -0.07686357
                                     0.23417227
      0.0000000      0.00            0.10268742    -0.19415509    -0.22502879
                                     0.37627520
      0.0000000      0.00           -0.24194505     0.10603485     0.10535376
                                     0.00000000
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                       Multivariate Analysis of Variance
                 Manova Test Criteria and F Approximations for 
                  the Hypothesis of no Overall SPECIES Effect
          H = Type I SS&CP Matrix for SPECIES   E = Error SS&CP Matrix
                              S=2    M=0.5    N=71
  Statistic                     Value          F      Num DF    Den DF  Pr > F
  Wilks' Lambda              0.02343863   199.1453         8       288  0.0001
  Pillai's Trace             1.19189883    53.4665         8       290  0.0001
  Hotelling-Lawley Trace    32.47732024   580.5321         8       286  0.0001
  Roy's Greatest Root       32.19192920   1166.957         4       145  0.0001
          NOTE: F Statistic for Roy's Greatest Root is an upper bound.
                 NOTE: F Statistic for Wilks' Lambda is exact.
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                       Multivariate Analysis of Variance
Dependent Variable: SEPLEN   
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2      63.21213333     31.60606667    119.26     0.0001
Error                  147      38.95620000      0.26500816
Dependent Variable: SEPWID   
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2      11.34493333      5.67246667     49.16     0.0001
Error                  147      16.96200000      0.11538776
Dependent Variable: PETLEN   
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2     437.10280000    218.55140000   1180.16     0.0001
Error                  147      27.22260000      0.18518776
Dependent Variable: PETWID   
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2      80.41333333     40.20666667    960.01     0.0001
Error                  147       6.15660000      0.04188163
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                       T tests (LSD) for variable: SEPLEN
          NOTE: This test controls the type I comparisonwise error rate not the 
                experimentwise error rate.
                      Alpha= 0.05  df= 147  MSE= 0.265008
                           Critical Value of T= 1.98
                      Least Significant Difference= 0.2035
          Means with the same letter are not significantly different.
                  T Grouping              Mean      N  SPECIES
                           A            6.5880     50  Virginic
                           B            5.9360     50  Color
                           C            5.0060     50  Setosa
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                       T tests (LSD) for variable: SEPWID
          NOTE: This test controls the type I comparisonwise error rate not the 
                experimentwise error rate.
                      Alpha= 0.05  df= 147  MSE= 0.115388
                           Critical Value of T= 1.98
                      Least Significant Difference= 0.1343
          Means with the same letter are not significantly different.
                  T Grouping              Mean      N  SPECIES
                           A           3.42800     50  Setosa
                           B           2.97400     50  Virginic
                           C           2.77000     50  Color
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                       T tests (LSD) for variable: PETLEN
          NOTE: This test controls the type I comparisonwise error rate not the 
                experimentwise error rate.
                      Alpha= 0.05  df= 147  MSE= 0.185188
                           Critical Value of T= 1.98
                      Least Significant Difference= 0.1701
          Means with the same letter are not significantly different.
                  T Grouping              Mean      N  SPECIES
                           A           5.55200     50  Virginic
                           B           4.26000     50  Color
                           C           1.46200     50  Setosa
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                       T tests (LSD) for variable: PETWID
          NOTE: This test controls the type I comparisonwise error rate not the 
                experimentwise error rate.
                      Alpha= 0.05  df= 147  MSE= 0.041882
                           Critical Value of T= 1.98
                      Least Significant Difference= 0.0809
          Means with the same letter are not significantly different.
                  T Grouping              Mean      N  SPECIES
                           A           2.02600     50  Virginic
                           B           1.32600     50  Color
                           C           0.24600     50  Setosa
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                            Class Level Information
                    Class    Levels    Values
                    SPECIES       3    Color Setosa Virginic
                    Number of observations in data set = 150
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: SEPLEN   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    2      63.21213333     31.60606667    119.26     0.0001
Error                  147      38.95620000      0.26500816
Corrected Total        149     102.16833333
                  R-Square             C.V.        Root MSE          SEPLEN Mean
                  0.618706         8.809859       0.5147894            5.8433333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2      63.21213333     31.60606667    119.26     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: SEPWID   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    2      11.34493333      5.67246667     49.16     0.0001
Error                  147      16.96200000      0.11538776
Corrected Total        149      28.30693333
                  R-Square             C.V.        Root MSE          SEPWID Mean
                  0.400783         11.11059       0.3396877            3.0573333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2      11.34493333      5.67246667     49.16     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: PETLEN   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    2     437.10280000    218.55140000   1180.16     0.0001
Error                  147      27.22260000      0.18518776
Corrected Total        149     464.32540000
                  R-Square             C.V.        Root MSE          PETLEN Mean
                  0.941372         11.45116       0.4303345            3.7580000
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2     437.10280000    218.55140000   1180.16     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: PETWID   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    2      80.41333333     40.20666667    960.01     0.0001
Error                  147       6.15660000      0.04188163
Corrected Total        149      86.56993333
                  R-Square             C.V.        Root MSE          PETWID Mean
                  0.928883         17.06365       0.2046500            1.1993333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
SPECIES                  2      80.41333333     40.20666667    960.01     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                            Class Level Information
                    Class    Levels    Values
                    SPECIES       3    Color Setosa Virginic
                    Number of observations in data set = 150
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: SEPLEN   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    3      85.48667453     28.49555818    249.40     0.0001
Error                  146      16.68165880      0.11425794
Corrected Total        149     102.16833333
                  R-Square             C.V.        Root MSE          SEPLEN Mean
                  0.836724         5.784722       0.3380206            5.8433333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
PETLEN                   1      77.64329957     77.64329957    679.54     0.0001
SPECIES                  2       7.84337496      3.92168748     34.32     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: SEPWID   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    3      13.76745700      4.58915233     46.08     0.0001
Error                  146      14.53947634      0.09958545
Corrected Total        149      28.30693333
                  R-Square             C.V.        Root MSE          SEPWID Mean
                  0.486363         10.32179       0.3155716            3.0573333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
PETLEN                   1       5.19604681      5.19604681     52.18     0.0001
SPECIES                  2       8.57141019      4.28570509     43.04     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: PETWID   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    3      81.85828992     27.28609664    845.52     0.0001
Error                  146       4.71164341      0.03227153
Corrected Total        149      86.56993333
                  R-Square             C.V.        Root MSE          PETWID Mean
                  0.945574         14.97855       0.1796428            1.1993333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
PETLEN                   1      80.25983695     80.25983695   2487.02     0.0001
SPECIES                  2       1.59845297      0.79922648     24.77     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                            Class Level Information
                    Class    Levels    Values
                    SPECIES       3    Color Setosa Virginic
                    Number of observations in data set = 150
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: PETWID   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    4      82.45175228     20.61293807    725.78     0.0001
Error                  145       4.11818105      0.02840125
Corrected Total        149      86.56993333
                  R-Square             C.V.        Root MSE          PETWID Mean
                  0.952429         14.05170       0.1685267            1.1993333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
PETLEN                   1      80.25983695     80.25983695   2825.93     0.0001
SEPWID                   1       0.22832765      0.22832765      8.04     0.0052
SPECIES                  2       1.96358768      0.98179384     34.57     0.0001
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
                            Class Level Information
                    Class    Levels    Values
                    SPECIES       3    Color Setosa Virginic
                    Number of observations in data set = 150
                                                 09:57 Wednesday, March 22, 1995
                        General Linear Models Procedure
Dependent Variable: SEPLEN   
                                     Sum of            Mean
Source                  DF          Squares          Square   F Value     Pr > F
Model                    5      88.61184825     17.72236965    188.25     0.0001
Error                  144      13.55648508      0.09414226
Corrected Total        149     102.16833333
                  R-Square             C.V.        Root MSE          SEPLEN Mean
                  0.867312         5.250875       0.3068261            5.8433333
Source                  DF        Type I SS     Mean Square   F Value     Pr > F
PETLEN                   1      77.64329957     77.64329957    824.74     0.0001
SEPWID                   1       8.19626958      8.19626958     87.06     0.0001
PETWID                   1       1.88335927      1.88335927     20.01     0.0001
SPECIES                  2       0.88891983      0.44445992      4.72     0.0103
                                                 09:57 Wednesday, March 22, 1995
                         Stepwise Discriminant Analysis
             150 Observations          4 Variable(s) in the Analysis
               3 Class Levels          0 Variable(s) will be included
              The Method for Selecting Variables will be: STEPWISE
              Significance Level to Enter =  0.1500
              Significance Level to Stay  =  0.1500
                            Class Level Information
              SPECIES      Frequency        Weight     Proportion
              Color               50       50.0000       0.333333
              Setosa              50       50.0000       0.333333
              Virginic            50       50.0000       0.333333
                                                 09:57 Wednesday, March 22, 1995
                         Stepwise Discriminant Analysis
                           Between-Class SSCP Matrix
Variable            SEPLEN            SEPWID            PETLEN            PETWID
SEPLEN          63.2121333       -19.9526667       165.2484000        71.2793333
SEPWID         -19.9526667        11.3449333       -57.2396000       -22.9326667
PETLEN         165.2484000       -57.2396000       437.1028000       186.7740000
PETWID          71.2793333       -22.9326667       186.7740000        80.4133333
                            Total-Sample SSCP Matrix
Variable            SEPLEN            SEPWID            PETLEN            PETWID
SEPLEN         102.1683333        -6.3226667       189.8730000        76.9243333
SEPWID          -6.3226667        28.3069333       -49.1188000       -18.1242667
PETLEN         189.8730000       -49.1188000       464.3254000       193.0458000
PETWID          76.9243333       -18.1242667       193.0458000        86.5699333
                                                 09:57 Wednesday, March 22, 1995
                         Stepwise Discriminant Analysis
Stepwise Selection:  Step 1
                       Statistics for Entry, DF = 2, 147
        Variable         R**2           F        Prob > F     Tolerance
        SEPLEN         0.6187        119.265       0.0001        1.0000
        SEPWID         0.4008         49.160       0.0001        1.0000
        PETLEN         0.9414       1180.161       0.0001        1.0000
        PETWID         0.9289        960.007       0.0001        1.0000
                        Variable PETLEN will be entered
                  The following variable(s) have been entered:
                                    PETLEN  
                            Multivariate Statistics
  Wilks' Lambda  = 0.05862828    F( 2, 147) = 1180.161      Prob > F = 0.0001
  Pillai's Trace =   0.941372    F( 2, 147) = 1180.161      Prob > F = 0.0001
               Average Squared Canonical Correlation = 0.47068586
                                                 09:57 Wednesday, March 22, 1995
                         Stepwise Discriminant Analysis
Stepwise Selection:  Step 2
                     Statistics for Removal,  DF = 2, 147
               Variable         R**2           F        Prob > F
               PETLEN         0.9414       1180.161       0.0001
                          No variables can be removed
                          ---------------------------
                       Statistics for Entry, DF = 2, 146
                      Partial
        Variable         R**2           F        Prob > F     Tolerance
        SEPLEN         0.3198         34.323       0.0001        0.2400
        SEPWID         0.3709         43.035       0.0001        0.8164
        PETWID         0.2533         24.766       0.0001        0.0729
                        Variable SEPWID will be entered
                  The following variable(s) have been entered:
                               SEPWID   PETLEN  
                            Multivariate Statistics
  Wilks' Lambda  = 0.03688411    F( 4, 292) =  307.105      Prob > F = 0.0001
  Pillai's Trace =   1.119908    F( 4, 294) =   93.528      Prob > F = 0.0001
               Average Squared Canonical Correlation = 0.55995394
                                                 09:57 Wednesday, March 22, 1995
                         Stepwise Discriminant Analysis
Stepwise Selection:  Step 3
                     Statistics for Removal,  DF = 2, 146
                             Partial
               Variable         R**2           F        Prob > F
               SEPWID         0.3709         43.035       0.0001
               PETLEN         0.9384       1112.954       0.0001
                          No variables can be removed
                          ---------------------------
                       Statistics for Entry, DF = 2, 145
                      Partial
        Variable         R**2           F        Prob > F     Tolerance
        SEPLEN         0.1447         12.268       0.0001        0.1323
        PETWID         0.3229         34.569       0.0001        0.0662
                        Variable PETWID will be entered
                  The following variable(s) have been entered:
                           SEPWID   PETLEN   PETWID  
                            Multivariate Statistics
  Wilks' Lambda  = 0.02497554    F( 6, 290) =  257.503      Prob > F = 0.0001
  Pillai's Trace =   1.189914    F( 6, 292) =   71.485      Prob > F = 0.0001
               Average Squared Canonical Correlation = 0.59495691
                                                 09:57 Wednesday, March 22, 1995
                         Stepwise Discriminant Analysis
Stepwise Selection:  Step 4
                     Statistics for Removal,  DF = 2, 145
                             Partial
               Variable         R**2           F        Prob > F
               SEPWID         0.4295         54.577       0.0001
               PETLEN         0.3482         38.724       0.0001
               PETWID         0.3229         34.569       0.0001
                          No variables can be removed
                          ---------------------------
                       Statistics for Entry, DF = 2, 144
                      Partial
        Variable         R**2           F        Prob > F     Tolerance
        SEPLEN         0.0615          4.721       0.0103        0.0320
                        Variable SEPLEN will be entered
                        All variables have been entered
                            Multivariate Statistics
  Wilks' Lambda  = 0.02343863    F( 8, 288) =  199.145      Prob > F = 0.0001
  Pillai's Trace =   1.191899    F( 8, 290) =   53.466      Prob > F = 0.0001
               Average Squared Canonical Correlation = 0.59594941
                                                 09:57 Wednesday, March 22, 1995
                         Stepwise Discriminant Analysis
Stepwise Selection:  Step 5
                     Statistics for Removal,  DF = 2, 144
                             Partial
               Variable         R**2           F        Prob > F
               SEPLEN         0.0615          4.721       0.0103
               SEPWID         0.2335         21.936       0.0001
               PETLEN         0.3308         35.590       0.0001
               PETWID         0.2570         24.904       0.0001
                          No variables can be removed
No further steps are possible
--------------------------------------------------------------------------------
Stepwise Selection:  Summary
              Variable        Number  Partial         F         Prob >
   Step  Entered   Removed      In       R**2     Statistic       F   
  --------------------------------------------------------------------
      1  PETLEN                    1   0.9414      1180.161     0.0001
      2  SEPWID                    2   0.3709        43.035     0.0001
      3  PETWID                    3   0.3229        34.569     0.0001
      4  SEPLEN                    4   0.0615         4.721     0.0103
                                                 09:57 Wednesday, March 22, 1995
                         Stepwise Discriminant Analysis
Stepwise Selection:  Summary
                                                              Average
                                                              Squared
              Variable        Number      Wilks'  Prob <    Canonical  Prob >
   Step  Entered   Removed      In        Lambda  Lambda  Correlation    ASCC
  ---------------------------------------------------------------------------
      1  PETLEN                    1  0.05862828  0.0001   0.47068586  0.0001
      2  SEPWID                    2  0.03688411  0.0001   0.55995394  0.0001
      3  PETWID                    3  0.02497554  0.0001   0.59495691  0.0001
      4  SEPLEN                    4  0.02343863  0.0001   0.59594941  0.0001
                                                 09:57 Wednesday, March 22, 1995
                        Canonical Discriminant Analysis
                  150 Observations        149 DF Total
                    4 Variables           147 DF Within Classes
                    3 Classes               2 DF Between Classes
                            Class Level Information
              SPECIES      Frequency        Weight     Proportion
              Color               50       50.0000       0.333333
              Setosa              50       50.0000       0.333333
              Virginic            50       50.0000       0.333333
                                                 09:57 Wednesday, March 22, 1995
 Canonical Discriminant Analysis     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           Color         Setosa       Virginic
             Color                 0       89.86419       17.20107
             Setosa         89.86419              0      179.38471
             Virginic       17.20107      179.38471              0
                          F Statistics, NDF=4, DDF=144 for
                          Squared Distance to SPECIES
             From
             SPECIES           Color         Setosa       Virginic
             Color                 0      550.18889      105.31265
             Setosa        550.18889              0           1098
             Virginic      105.31265           1098              0
                          Prob > Mahalanobis Distance for
                          Squared Distance to SPECIES
             From
             SPECIES           Color         Setosa       Virginic
             Color            1.0000         0.0001         0.0001
             Setosa           0.0001         1.0000         0.0001
             Virginic         0.0001         0.0001         1.0000
                                                 09:57 Wednesday, March 22, 1995
                        Canonical Discriminant Analysis
                          Univariate Test Statistics
                   F Statistics,    Num DF= 2   Den DF= 147
                  Total        Pooled       Between                       RSQ/
 Variable           STD           STD           STD     R-Squared      (1-RSQ)
 SEPLEN          0.8281        0.5148        0.7951      0.618706       1.6226
 SEPWID          0.4359        0.3397        0.3368      0.400783       0.6688
 PETLEN          1.7653        0.4303        2.0907      0.941372      16.0566
 PETWID          0.7622        0.2047        0.8967      0.928883      13.0613
    Univariate Test Statistics
 Variable          F        Pr > F
 SEPLEN        119.2645     0.0001
 SEPWID         49.1600     0.0001
 PETLEN       1180.1612     0.0001
 PETWID        960.0071     0.0001
                   Average R-Squared:  Unweighted = 0.7224358
                             Weighted by Variance = 0.8689444
                                                 09:57 Wednesday, March 22, 1995
                        Canonical Discriminant Analysis
                  Multivariate Statistics and F Approximations
                              S=2    M=0.5    N=71
  Statistic                     Value          F      Num DF    Den DF  Pr > F
  Wilks' Lambda              0.02343863   199.1453         8       288  0.0001
  Pillai's Trace             1.19189883    53.4665         8       290  0.0001
  Hotelling-Lawley Trace    32.47732024   580.5321         8       286  0.0001
  Roy's Greatest Root       32.19192920   1166.957         4       145  0.0001
          NOTE: F Statistic for Roy's Greatest Root is an upper bound.
                 NOTE: F Statistic for Wilks' Lambda is exact.
                                                 09:57 Wednesday, March 22, 1995
                        Canonical Discriminant Analysis
                                 Adjusted       Approx       Squared  
                  Canonical      Canonical     Standard     Canonical 
                 Correlation    Correlation     Error      Correlation
            1      0.984821       0.984508     0.002468      0.969872 
            2      0.471197       0.461445     0.063734      0.222027 
                                 Eigenvalues of INV(E)*H
                                   = CanRsq/(1-CanRsq)  
                  Eigenvalue    Difference    Proportion    Cumulative
             1      32.1919       31.9065       0.9912        0.9912  
             2       0.2854         .           0.0088        1.0000  
                      Test of H0: The canonical correlations in the
                        current row and all that follow are zero
                Likelihood
                   Ratio      Approx F      Num DF      Den DF    Pr > F
           1    0.02343863    199.1453           8         288    0.0001
           2    0.77797337     13.7939           3         145    0.0001
                           Total Canonical Structure
                                       CAN1              CAN2
                   SEPLEN          0.791888          0.217593
                   SEPWID         -0.530759          0.757989
                   PETLEN          0.984951          0.046037
                   PETWID          0.972812          0.222902
                                                 09:57 Wednesday, March 22, 1995
                        Canonical Discriminant Analysis
                          Between Canonical Structure
                                       CAN1              CAN2
                   SEPLEN          0.991468          0.130348
                   SEPWID         -0.825658          0.564171
                   PETLEN          0.999750          0.022358
                   PETWID          0.994044          0.108977
                       Pooled Within Canonical Structure
                                       CAN1              CAN2
                   SEPLEN          0.222596          0.310812
                   SEPWID         -0.119012          0.863681
                   PETLEN          0.706065          0.167701
                   PETWID          0.633178          0.737242
                Total-Sample Standardized Canonical Coefficients
                                       CAN1              CAN2
                   SEPLEN      -0.686779533       0.019958173
                   SEPWID      -0.668825075       0.943441829
                   PETLEN       3.885795047      -1.645118866
                   PETWID       2.142238715       2.164135931
                                                 09:57 Wednesday, March 22, 1995
                        Canonical Discriminant Analysis
            Pooled Within-Class Standardized Canonical Coefficients
                                       CAN1              CAN2
                   SEPLEN      -.4269548486      0.0124075316
                   SEPWID      -.5212416758      0.7352613085
                   PETLEN      0.9472572487      -.4010378190
                   PETWID      0.5751607719      0.5810398645
                           Raw Canonical Coefficients
                                       CAN1              CAN2
                   SEPLEN      -0.829377642       0.024102149
                   SEPWID      -1.534473068       2.164521235
                   PETLEN       2.201211656      -0.931921210
                   PETWID       2.810460309       2.839187853
                       Class Means on Canonical Variables
                  SPECIES               CAN1              CAN2
                  Color          1.825049490      -0.727899622
                  Setosa        -7.607599927       0.215133017
                  Virginic       5.782550437       0.512766605
                                                 09:57 Wednesday, March 22, 1995
                Plot of CAN2*CAN1.  Symbol is value of SPECIES.
       4 +
         |
         |
         |
         |     S                                               V
         |                                                    VV
         |                                                  V
       2 +                                               V V      V
         |  S S S                                          V VV
         |         S                                   V  VV  V
    CAN2 |     S  SS S S                        C    C    V
         |      S S                              C       V V  VV
         |       SSSS SS                       C      V   V  VV
         |      SSS S                           C    CV VV    V
       0 +        SSS                      C  C CCCC   V VVVV
         |        S S S                       C CCC       VV    V
         |           SS                      CCC  C     V    V
         |         SSSS                  C   C CCC   V CV    V   V    V
         |          S S                       C C
         |                               C       C    C      V
         |                                 CCC   C  C
      -2 +               S                  C    C       V
         |                                              V
         |                                   CC
         |
         |
         |
         |
      -4 +
         ---+--------------+--------------+--------------+--------------+--
           -10            -5              0              5             10
                                        CAN1
NOTE: 28 obs hidden.
