(DATA "Meteo"
:TITLE "Meteo"
:VARIABLES (QUOTE ("rgions" "tminja" "tmaxja" "tminju" "tmaxju" "pluija"
"pluiju" "pluitot")) :TYPES (QUOTE ("Category" "Numeric" "Numeric"
"Numeric" "Numeric" "Numeric" "Numeric" "Numeric"))
:LABELS (QUOTE ("Obs0" "Obs1" "Obs2" "Obs3" "Obs4" "Obs5" "Obs6" "Obs7"
"Obs8" "Obs9" "Obs10" "Obs11" "Obs12" "Obs13" "Obs14" "Obs15" "Obs16"
"Obs17" "Obs18" "Obs19" "Obs20" "Obs21" "Obs22"))
:DATA (QUOTE ("CHABLAIS" -7.0 1.1 9.699999999999999 22.9 131.5 139.5 1596.5
"BORNES-ARAVIS" -8.0 0.1 8.199999999999999 20.8 115.0 145.0 1613.0
"ARVE-GIFFRE" -8.0 -0.1 8.6 22.0 113.0 146.5 1738.0 "MONT-BLANC" -9.0 -1.7
6.5 17.3 103.0 138.0 1630.0 "BAUGES" -8.0 0.2 7.5 21.6 110.0 129.0 1491.5
"BEAUFORTIN" -8.0 0.5 8.6 21.0 113.0 130.0 1415.0 "CHARTREUSE" -3.0 2.8
11.5 19.8 188.5 141.5 1848.5 "BELLEDONNE" -8.0 -1.0 8.300000000000001 21.1
100.0 120.0 1472.5 "TARENTAISE" -7.0 2.3 8.800000000000001 21.4 100.0 85.0
978.5 "MAURIENNE" -7.0 0.8 9.5 22.8 75.0 38.0 784.5 "GRANDES-ROUSSES" -6.0
1.9 8.1 19.2 77.0 80.5 976.0 "VERCORS" -4.0 5.5 10.5 24.2 69.0 79.0 1238.5
"TRIEVES" -7.0 1.2 9.6 22.9 65.0 72.5 1125.0 "OISANS" -10.0 0.2 5.3 19.7
65.0 70.0 1025.0 "BRIANONNAIS" -9.0 2.2 7.6 22.7 65.0 41.0 771.5 "DIOIS"
-2.0 7.3 12.6 27.6 51.0 47.5 920.0 "HAUT-DIOIS" -4.0 5.0 10.0 24.5 66.0
57.5 1010.0 "DEVOLUY" -7.0 2.8 8.9 24.7 98.5 52.0 1116.0 "CHAMPSAUR" -7.0
1.8 8.6 21.9 112.0 68.0 1247.5 "EMBRUNAIS" -6.0 3.5 10.5 24.3 57.5 55.0
767.5 "QUEYRAS" -9.0 2.6 7.6 22.4 49.5 48.5 766.5 "BARONNIES" -3.0 7.3 12.5
27.4 56.5 29.5 926.5 "GAPENCAIS" -7.0 4.0 9.800000000000001 26.0 77.5 47.0
955.0)))


Analyse en Composantes Principales des  Corrlations

Modle: PCA-meteo.lsp

Nom des Variables: (tminja tmaxja tminju tmaxju pluija pluiju pluitot)

Indices adapts pour chaque Composante:
Valeur propre (proportion de variance totale de chaque composante)
Proportion (de variance totale de chaque composante)
Proportion Cumule  (de variance totale de chaque composante)

Val. propre  Proportion  P. Cumule
   4.25252    0.60750    0.60750 PC0
   2.05061    0.29294    0.90045 PC1
   0.30251    0.04322    0.94366 PC2
   0.21196    0.03028    0.97394 PC3
   0.11525    0.01646    0.99041 PC4
   0.04815    0.00688    0.99728 PC5
   0.01901    0.00272    1.00000 PC6

Coefficients (Vecteurs propres):
   0.326    0.449    0.345    0.429   -0.319   -0.403   -0.354 PC0
  -0.475   -0.183   -0.464   -0.095   -0.457   -0.334   -0.443 PC1
   0.445    0.139   -0.054   -0.784    0.154   -0.226   -0.299 PC2
  -0.276   -0.112    0.091    0.195    0.772   -0.454   -0.249 PC3
  -0.046    0.702   -0.630    0.099    0.184   -0.053    0.248 PC4
  -0.314    0.358    0.168   -0.064    0.121    0.629   -0.574 PC5
  -0.542    0.335    0.479   -0.374   -0.143   -0.263    0.368 PC6

Scores (coordonnes) des Composantes:
  -0.306   -0.339   -0.153    0.053   -0.012    0.053   -0.012 Obs0
  -0.498   -0.139   -0.087   -0.060    0.009    0.032    0.002 Obs1
  -0.472   -0.199   -0.199   -0.067   -0.008   -0.014    0.010 Obs2
  -0.764    0.105    0.082   -0.138   -0.007   -0.049    0.039 Obs3
  -0.423   -0.030   -0.098   -0.024    0.055    0.003   -0.062 Obs4
  -0.378   -0.082   -0.045   -0.000   -0.024    0.072    0.008 Obs5
  -0.324   -0.878    0.246    0.140    0.018   -0.003    0.027 Obs6
  -0.411   -0.001   -0.081   -0.038   -0.098   -0.047   -0.018 Obs7
  -0.032    0.065    0.115    0.073    0.000    0.098   -0.019 Obs8
   0.183    0.250    0.066    0.134   -0.183   -0.048   -0.024 Obs9
  -0.067    0.159    0.288   -0.100   -0.021    0.019   -0.030 Obs10
   0.385   -0.216    0.018   -0.160    0.083   -0.012    0.022 Obs11
   0.079    0.112   -0.051   -0.053   -0.134   -0.051    0.031 Obs12
  -0.327    0.571    0.066   -0.040    0.107   -0.032   -0.007 Obs13
   0.108    0.459    0.003    0.096    0.044    0.027    0.020 Obs14
   0.908   -0.288   -0.031   -0.120   -0.010    0.003   -0.030 Obs15
   0.458   -0.072    0.061   -0.084    0.059   -0.031   -0.052 Obs16
   0.154    0.049   -0.086    0.173    0.080   -0.062   -0.024 Obs17
  -0.091   -0.000    0.059    0.143    0.049   -0.068    0.012 Obs18
   0.424    0.118    0.004   -0.011   -0.112    0.067    0.003 Obs19
   0.130    0.489    0.004   -0.008    0.045    0.055    0.045 Obs20
     0.889   -0.220   -0.036   -0.027    0.013   -0.024    0.046 Obs21
   0.377    0.085   -0.148    0.123    0.047    0.013    0.013 Obs22
***********************************************************************

coordinates of the variables

Coord var0 on F0  =eigen vector of var0 on F0*square
root(lambda0)=(0.326*SQR(4.25252) )*1000 =6723 (6713 in the french output)
Coord var0 on F1  =eigen vector of var0 on F1*square
root(lambda1)=(0.475*SQR(2.05061) )*1000 =6802 (6803 in the french output)
Coord var1 on F0  =eigen vector of var1 on F0*square
root(lambda0)=(0.449*SQR(4.25252) )*1000 =9259 (9262 in the french output)


absolute contributions of the variables

ctr var0 on F0=square of coordinates of var0 on
F0/lambda0=((.6723*.6723)/4.25252)*1000=1062
ctr var0 on F1=square of coordinates of var0 on F1/lambda1 etc...


absolute contributions of the observations
ctr obs0 on F0=square of coordinates (scores) on F0/lambda0
=((-.306*.-.306)/ 4.25252)*1000=220
ctr obs0 on F1=square of coordinates (scores) on F1/lambda1


relative contributions of the variables

ctr rel var0 on F0=square of var0 coordinates on F0/ sum of the squares of
the var0 coordinates on all the factors


 relative contributions of the observations

ctr rel obs0 on F0=square of obs0 coordinates on F0/ sum of the squares of
the obs0 coordinates on all the factors

it seems to works also with covariances but I need to get the results.
There seems to be a moderate difference between the french output for
variables compare to the result with these equations.

