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Discriminant analysis of Finland

K.Vehkalahti (2002)

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   1 *SAVE FINLAND / Discriminant analysis of Finland
   2 *
   3 *>COPY <Survo>\U\D\FINLAND.SVO
   4 *FILE SHOW FINLAND / 464 communes of Finland (data from 1978)
   5 *
   6 *Defining the regions in the data:
   7 *
   8 *CLASSIFY FINLAND,REGIONS,Province,Region 
   9 *CLASSIFICATION REGIONS
  10 *UUS,TUR,HÄM,KYM:      Southern
  11 *MIK,KAR,KUO,KES,VAA:  Middle
  12 *OUL,LAP:              Northern
  13 *AHV:                  Archipelago
  14 *END
  15 *
  16 *........................................................................
  17 *
  18 *Selection of variables:
  19 *MASK=----AAAAAAA-
  20 *
  21 *FILE STATUS FINLAND / Variable descriptions:
  22 *  The Finnish towns and communes in alphabetic order
  23 *  Data mainly from years 1978-80.
  24 *  COND:FINLAND
  25 *FIELDS: (active)
  26 *   5 NA-   8 Area     Land area square km in 1979 (######.##)
  27 *   6 SA-   1 Agri     Population in agriculture (10%)
  28 *   7 SA-   1 Industry Population in industry (10%)
  29 *   8 SA-   1 Service  Population in other occupations (10%)
  30 *   9 NA-   4 Houses   New houses and apartments in 1978 (######)
  31 *  10 NA-   4 Tax      Communal tax rate in 1979 (##.##)
  32 *  11 NA-   2 Income   Income per inhabitant in 1979 (######)
  33 *END
  34 *Survo data file FINLAND: record=128 bytes, M1=30 L=64  M=14 N=464
  35 *
  36 *Groupwise means, standard deviations and correlations:
  37 *
  38 *CORR FINLAND / CASES=Region:Southern
  39 *MAT M1=MSN.M       / *M1~MSN(FINLAND) 7*3
  40 *MAT R1=CORR.M      / *R1~R(FINLAND) S7*7
  41 *CORR FINLAND / CASES=Region:Middle
  42 *MAT M2=MSN.M       / *M2~MSN(FINLAND) 7*3
  43 *MAT R2=CORR.M      / *R2~R(FINLAND) S7*7
  44 *CORR FINLAND / CASES=Region:Northern
  45 *MAT M3=MSN.M       / *M3~MSN(FINLAND) 7*3
  46 *MAT R3=CORR.M      / *R3~R(FINLAND) S7*7
  47 *CORR FINLAND / CASES=Region:Archipelago
  48 *MAT M4=MSN.M       / *M4~MSN(FINLAND) 7*3
  49 *MAT R4=CORR.M      / *R4~R(FINLAND) S7*7
  50 *
  51 *........................................................................
  52 *
  53 *Discriminant analysis:
  54 *
  55 * MSN=M1,M2,M3,M4 (matrices of means and standard deviations)
  56 *CORR=R1,R2,R3,R4 (correlation matrices)
  57 */DISCRI 
  58 *    Eig.val.  %      Can.corr  Chi^2    df  P
  59 * 1  1.258817  68.80  0.746519  596.5672  21 1
  60 * 2  0.431721  23.60  0.549126  223.7773  12 1
  61 * 3  0.139117   7.60  0.349467   59.5910   5 0.9999
  62 *
  63 *MAT LOAD DISCRL.M,END+2  / Discriminant coefficients
  64 *MAT LOAD DISCRXR.M,END+2 / Correlations variables/discriminators
  65 *Correlations, means and standard deviations of discriminators
  66 *for each of the 4 groups are saved in matrix files corresponding
  67 *to CORR and MSN files with their names preceded by letter `D'.
  68 *Discriminant scores are computed by
  69 *LINCO <data_file>,DISCRL.M(D1,D2,...)
  70 *
  71 *MATRIX DISCRXR.M
  72 *Correlations_between_variables_and_discriminators
  73 *///        Discr1   Discr2   Discr3
  74 *Area     -0.49760  0.26747  0.70962
  75 *Agri     -0.26769  0.10475 -0.49311
  76 *Industry  0.29787 -0.54395  0.43046
  77 *Service   0.04602  0.42350  0.21899
  78 *Houses    0.07194 -0.14805  0.18965
  79 *Tax      -0.95820 -0.16350 -0.20063
  80 *Income    0.51394 -0.24681  0.31122
  81 *
  82 *Computing and saving discriminant variables 1 and 2:
  83 *
  84 *LINCO FINLAND,DISCRL.M(Discr1,Discr2) 
  85 *
  86 *........................................................................
  87 *
  88 *Illustration of the discriminant space: 
  89 *
  90 *MASK=----AAAAAAA-XY
  91 */DCONTOUR FINLAND Region / POINT=Commune
  92 *
  93 *........................................................................
  94 *
  95 *The /DCONTOUR sucro automatically combines several PLOT operations
  96 *and gives the user a ready made work scheme (a whole edit field),
  97 *where parameters can be modified and the graph re-produced and
  98 *saved in a Windows metafile or a PostScript file.
  99 *
 100 *

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