例18-04计算结果.lst

SAS应用_医学统计学的例题程序及其结果,学习SAS的必备资料.

                                       The SAS System         20:26 Monday, April 1, 2002 146

                                    Discriminant Analysis

                         17 Observations        16 DF Total
                          4 Variables           14 DF Within Classes
                          3 Classes              2 DF Between Classes


                                   Class Level Information

                                                                             Prior
                      G     Frequency        Weight     Proportion     Probability

                      1             7        7.0000       0.411765        0.333333
                      2             4        4.0000       0.235294        0.333333
                      3             6        6.0000       0.352941        0.333333
                                       The SAS System         20:26 Monday, April 1, 2002 147

               Discriminant Analysis     Pooled Covariance Matrix Information

                       Covariance       Natural Log of the Determinant
                       Matrix Rank      of the Covariance Matrix

                             4                    17.8289259
                                       The SAS System         20:26 Monday, April 1, 2002 148

       Discriminant Analysis     Pairwise Generalized Squared Distances Between Groups

                              2         _   _       -1  _   _
                             D (i|j) = (X - X )' COV   (X - X )
                                         i   j           i   j

                                Generalized Squared Distance to G

                     From G                1                2                3

                          1                0          6.10523         12.89173
                          2          6.10523                0          1.34012
                          3         12.89173          1.34012                0
                                       The SAS System         20:26 Monday, April 1, 2002 149

                   Discriminant Analysis     Linear Discriminant Function

                               _     -1 _                              -1 _
                Constant = -.5 X' COV   X      Coefficient Vector = COV   X
                                j        j                                 j

                                              G

                                         1                2                3

                 CONSTANT       -222.41777       -198.43738       -188.99997
                 X1               -0.07387         -0.04477         -0.03956
                 X2              -19.41173        -18.09747        -17.45729
                 X3                4.54927          4.66069          4.72033
                 X4                1.58220          1.41404          1.33662

                                       The SAS System         20:26 Monday, April 1, 2002 150

     Discriminant Analysis     Classification Summary for Calibration Data: WORK.EX18_4

                  Resubstitution Summary using Linear Discriminant Function

 Generalized Squared Distance Function:       Posterior Probability of Membership in each G:

  2         _       -1   _                                       2                    2
 D (X) = (X-X )' COV  (X-X )                  Pr(j|X) = exp(-.5 D (X)) / SUM exp(-.5 D (X))
  j          j            j                                      j        k           k

                         Number of Observations and Percent Classified into G:

             From G                 1                 2                 3             Total

                  1                 6                 1                 0                 7
                                85.71             14.29              0.00            100.00

                  2                 0                 4                 0                 4
                                 0.00            100.00              0.00            100.00

                  3                 1                 0                 5                 6
                                16.67              0.00             83.33            100.00

              Total                 7                 5                 5                17
            Percent             41.18             29.41             29.41            100.00

             Priors            0.3333            0.3333            0.3333


                      Error Count Estimates for G:

                                 1                2                3        Total

           Rate             0.1429           0.0000           0.1667       0.1032

           Priors           0.3333           0.3333           0.3333