data: c:\Documents\PsiStatsPro\data\s16_c.discriminant
 date: Thu 24 Mar 2005 02:09:17

 excluded variables as follows:
    - none


 ---- canonical discriminant (i.e. G>2) statistics


 sample number of each group

      \ group  ,          1,          2,          3,        all
               ,          8,         10,          9,         27


 mean value

 var. \ group  ,          1,          2,          3,        all
   1.sentence  ,  23.050000,  18.900000,  10.800000,  17.429630
   2.vocaburary,  21.600000,  16.200000,  13.500000,  16.900000
   3.hearing   ,  13.500000,  16.200000,  21.600000,  17.200000
   4.grammer   ,  16.200000,  18.900000,  15.900000,  17.100000
   5.speaking  ,   8.100000,  13.230000,  21.000000,  14.300000


 covariance matrix

 var. \ var.   ,          1,          2,          3,          4,          5
   1.sentence  ,   1311.436
   2.vocaburary,    858.850,    795.960
   3.hearing   ,    -37.520,    185.220,    876.960
   4.grammer   ,    485.550,    340.200,    325.620,    539.460
   5.speaking  ,   -293.320,   -109.890,    802.170,    308.610,   1222.020


 group covariance matrix

 var. \ var.   ,          1,          2,          3,          4,          5
   1.sentence  , 641.540000
   2.vocaburary, 454.950000, 510.300000
   3.hearing   , 406.080000, 451.980000, 583.200000
   4.grammer   , 427.950000, 349.920000, 364.500000, 487.620000
   5.speaking  , 400.950000, 320.760000, 342.630000, 355.590000, 499.041000


 compression of upper trigonometric matrix of covariance matrix

      \ group  ,          1,          2,          3
    1,         , 160.400000, 247.860000, 233.280000
    2,         , 105.030000, 218.700000, 131.220000
    3,         ,  34.290000, 196.830000, 174.960000
    4,         ,  56.160000, 196.830000, 174.960000
    5,         ,  72.900000, 131.220000, 196.830000
    6,         , 116.640000, 277.020000, 116.640000
    7,         ,  43.740000, 269.730000, 138.510000
    8,         ,  72.900000, 145.800000, 131.220000
    9,         ,  58.320000, 116.640000, 145.800000
   10,         ,  43.740000, 335.340000, 204.120000
   11,         ,  43.740000, 145.800000, 174.960000
   12,         ,  14.580000, 131.220000, 196.830000
   13,         ,  72.900000, 233.280000, 181.440000
   14,         ,  36.450000, 116.640000, 202.500000
   15,         ,  87.480000, 181.521000, 230.040000


 determinant of sample covariance matrix by box-M test

      \ group  ,          1,          2,          3,     pooled
               ,  10058.467, 152236.250,    843.358,  97523.896


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

               ,  34.937008,   0.014022,         30


 variable selected by forward selection

  var. \ test  , f-value   , f-prob    , 1st-free  , 2nd-free
   5.speaking  ,  17.384840,   0.000022,          2,         24
   1.sentence  ,  33.183288,   0.000000,          2,         23
   2.vocaburary,   2.734840,   0.086948,          2,         22
   3.hearing   ,   3.616716,   0.044698,          2,         21


 number of canonical vector, all, alpha >  0.050000

               ,          2,          2


 canonical discriminant coefficient

 var. \ vector ,          1,          2
   5.speaking  ,   0.000000,   0.000000
   1.sentence  ,  -0.213558,  -0.071374
   2.vocaburary,   0.176715,   0.294876
   3.hearing   ,   0.186519,  -0.434457
    .const     ,  -0.000390,   0.706574


 standardized canonical discriminant coefficient

 var. \ vector ,          1,          2
   5.speaking  ,   0.000000,   0.000000
   1.sentence  ,  -0.973818,  -0.325463
   2.vocaburary,   0.913650,   1.524566
   3.hearing   ,   0.860065,  -2.003336


 eigen value and chi square-test

      \ vector ,          1,          2
 eigen value   ,  11.283944,   0.300250
 chi square    ,  62.344114,   5.907521
 chi prob.     ,   0.000000,   0.116197
 freedom       ,   8.000000,   3.000000


 bary-centre of group in canonical discrimiinant space

 group\ vector ,          1,          2
   1.          ,   3.877541,  -0.483520
   2.          ,   0.542547,   0.667741
   3.          ,  -4.049533,  -0.312139


 number of discriminated group from prior group

 pri. \ dis.g. ,          1,          2,          3
   1.          ,   8.000000,   0.000000,   0.000000
   2.          ,   1.000000,   9.000000,   0.000000
   3.          ,   0.000000,   0.000000,   9.000000


 discriminant scores

 sample\ vec.  ,          1,          2
   1.A-S01     ,   4.202642,  -1.496335
   2.A-S02     ,   5.079168,  -0.491792
   3.A-S03     ,   1.822950,  -1.112702
   4.A-S04     ,   3.500089,   0.883612
   5.A-S05     ,   3.793783,  -0.148806
   6.A-S06     ,   3.689576,   1.232605
   7.A-S07     ,   5.001433,  -1.079581
   8.A-S08     ,   3.930688,  -1.655164
   9.B-S01     ,   1.044485,   1.254473
  10.B-S02     ,   1.538623,   1.637346
  11.B-S03     ,  -0.595322,   1.628795
  12.B-S04     ,   0.290667,   1.077431
  13.B-S05     ,   2.051689,  -1.091594
  14.B-S06     ,   1.650375,   1.398550
  15.B-S07     ,  -0.478839,   0.612045
  16.B-S08     ,  -1.467116,  -0.153702
  17.B-S09     ,   0.699526,  -0.270099
  18.B-S10     ,   0.691381,   0.584171
  19.C-S01     ,  -4.172936,  -1.132917
  20.C-S02     ,  -5.231405,  -1.343839
  21.C-S03     ,  -3.391154,  -0.302870
  22.C-S04     ,  -3.484579,  -1.179004
  23.C-S05     ,  -3.511050,   0.790196
  24.C-S06     ,  -4.298883,   1.439740
  25.C-S07     ,  -2.813229,  -0.811798
  26.C-S08     ,  -4.294151,   0.661786
  27.C-S09     ,  -5.248413,  -0.930546