data: c:\Documents\PsiStatsPro\data\s16_f.discriminant_1
 date: Thu 24 Mar 2005 02:10:53

 excluded variables as follows:
    - none


 ---- fisher's linear discriminant (i.e. G=2) statistics


 sample number of each group

      \ group  ,          1,          2,        all
               ,          8,         10,         18


 mean value

 var. \ group  ,          1,          2,        all
   1.sentence  ,  23.050000,  18.900000,  20.744444
   2.vocaburary,  21.600000,  16.200000,  18.600000
   3.hearing   ,  13.500000,  16.200000,  15.000000
   4.grammer   ,  16.200000,  18.900000,  17.700000
   5.speaking  ,   8.100000,  13.230000,  10.950000


 covariance matrix

 var. \ var.   ,          1,          2,          3,          4,          5
   1.sentence  , 484.804444
   2.vocaburary, 423.330000, 523.260000
   3.hearing   , 181.320000, 248.670000, 411.480000
   4.grammer   , 203.190000, 153.900000, 221.940000, 338.580000
   5.speaking  , 109.500000,  51.840000, 207.360000, 214.650000, 385.965000


 group covariance matrix

 var. \ var.   ,          1,          2,          3,          4,          5
   1.sentence  , 408.260000
   2.vocaburary, 323.730000, 393.660000
   3.hearing   , 231.120000, 313.470000, 379.080000
   4.grammer   , 252.990000, 218.700000, 189.540000, 306.180000
   5.speaking  , 204.120000, 174.960000, 145.800000, 153.090000, 269.001000


 compression of upper trigonometric matrix of covariance matrix

      \ group  ,          1,          2
    1,         , 160.400000, 247.860000
    2,         , 105.030000, 218.700000
    3,         ,  34.290000, 196.830000
    4,         ,  56.160000, 196.830000
    5,         ,  72.900000, 131.220000
    6,         , 116.640000, 277.020000
    7,         ,  43.740000, 269.730000
    8,         ,  72.900000, 145.800000
    9,         ,  58.320000, 116.640000
   10,         ,  43.740000, 335.340000
   11,         ,  43.740000, 145.800000
   12,         ,  14.580000, 131.220000
   13,         ,  72.900000, 233.280000
   14,         ,  36.450000, 116.640000
   15,         ,  87.480000, 181.521000


 determinant of sample covariance matrix by box-M test

      \ group  ,          1,          2,     pooled
               ,  10058.467, 152236.250, 148963.468


 by box-M      , chi square, chi prob  , chi free

               ,  12.315887,   0.158441,         15


 variable selected by forward selection

  var. \ test  , f-value   , f-prob    , 1st-free  , 2nd-free
   5.speaking  ,   6.956941,   0.017916,          1,         16
   2.vocaburary,  12.672134,   0.002851,          1,         15
   3.hearing   ,   8.274276,   0.012195,          1,         14


 mahalanobis D2 statistics:       11.560847


 error rate plug-in method:        0.044560


 linear discriminant coefficient of variables

   5.speaking  ,   0.000000
   2.vocaburary,   1.151793
   3.hearing   ,  -0.834982
    .const     ,  -2.952299


   = Hot.t2    , f value   , f prob    , 1st free  , 2nd free

               ,  14.986284,   0.000119,          3,         14


 bary-centre of group in discrimiinant space

      \ group  ,          1,          2
               ,   5.780424,  -5.780424


 number of discriminated group from prior group

 pri. \ dis.g. ,          1,          2
   1.          ,   8.000000,   0.000000
   2.          ,   1.000000,   9.000000


 discriminant scores

 sample\ vec.  ,          1
   1.A-S01     ,   8.260398
   2.A-S02     ,   8.890266
   3.A-S03     ,   1.815192
   4.A-S04     ,   1.901387
   5.A-S05     ,   5.919750
   6.A-S06     ,   3.439776
   7.A-S07     ,   9.520134
   8.A-S08     ,   6.496487
   9.B-S01     ,  -5.717360
  10.B-S02     ,  -4.318298
  11.B-S03     , -10.677309
  12.B-S04     ,  -8.336661
  13.B-S05     ,   0.502324
  14.B-S06     ,  -2.150040
  15.B-S07     ,  -7.653662
  16.B-S08     , -10.451787
  17.B-S09     ,  -5.996014
  18.B-S10     ,  -3.005430