data: c:\Documents\PsiStatsPro\data\s16_f.discriminant_2
 date: Thu 24 Mar 2005 02:12:09

 excluded variables as follows:
    - none


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


 sample number of each group

      \ group  ,          1,          2,        all
               ,          8,          9,         17


 mean value

 var. \ group  ,          1,          2,        all
   1.sentence  ,  23.050000,  10.800000,  16.564706
   2.vocaburary,  21.600000,  13.500000,  17.311765
   3.hearing   ,  13.500000,  21.600000,  17.788235
   4.grammer   ,  16.200000,  15.900000,  16.041176
   5.speaking  ,   8.100000,  21.000000,  14.929412


 covariance matrix

 var. \ var.   ,          1,          2,          3,          4,          5
   1.sentence  ,   1029.239
   2.vocaburary,    656.497,    511.158
   3.hearing   ,   -210.997,    -95.628,    525.738
   4.grammer   ,    246.685,    214.412,    208.408,    254.721
   5.speaking  ,   -399.552,   -238.426,    653.956,    222.559,   1022.315


 group covariance matrix

 var. \ var.   ,          1,          2,          3,          4,          5
   1.sentence  , 393.680000
   2.vocaburary, 236.250000, 233.280000
   3.hearing   , 209.250000, 182.250000, 247.860000
   4.grammer   , 231.120000, 204.120000, 218.700000, 254.340000
   5.speaking  , 269.730000, 204.120000, 211.410000, 238.950000, 317.520000


 compression of upper trigonometric matrix of covariance matrix

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


 determinant of sample covariance matrix by box-M test

      \ group  ,          1,          2,     pooled
               ,  10058.467,    843.358,  15619.676


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

               ,  16.977998,   0.056488,         15


 variable selected by forward selection

  var. \ test  , f-value   , f-prob    , 1st-free  , 2nd-free
   5.speaking  ,  33.295318,   0.000037,          1,         15
   1.sentence  ,  60.283526,   0.000002,          1,         14


 mahalanobis D2 statistics:       56.962590


 error rate plug-in method:        0.000081


 linear discriminant coefficient of variables

   5.speaking  ,   0.000000
   1.sentence  ,  -2.406645
    .const     ,  -0.790919


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

               , 112.584885,   0.000000,          2,         14


 bary-centre of group in discrimiinant space

      \ group  ,          1,          2
               ,  28.481295, -28.481295


 number of discriminated group from prior group

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


 discriminant scores

 sample\ vec.  ,          1
   1.A-S01     ,  31.911524
   2.A-S02     ,  36.838165
   3.A-S03     ,   9.969243
   4.A-S04     ,  30.340224
   5.A-S05     ,  32.697174
   6.A-S06     ,  31.911524
   7.A-S07     ,  30.340224
   8.A-S08     ,  23.842283
   9.C-S01     , -29.925282
  10.C-S02     , -42.135513
  11.C-S03     , -25.784292
  12.C-S04     , -28.353982
  13.C-S05     , -22.641691
  14.C-S06     , -24.998642
  15.C-S07     , -21.070391
  16.C-S08     , -24.998642
  17.C-S09     , -36.423223