Presentación de un ejemplo de resentación de un ejemplo de

Presentación de un ejemplo de
aplicación del
Análisis de Componentes P
rincipales
Principales
I. La TTabla
abla de Datos
II. Cuestiones a explorar a par
tir de
partir
esas obser
vaciones...
observaciones...
- El IDH es un índice adecuado para representar la situación socio-económica de los
paises sudamericanos...?
- El IDH hace una evaluación estructural de
la situación socio-económica de esos paises
o solo toma en cuenta la situación conjuntural...?
Programa PRESTA - 1999 - Eduardo CRIVISQUI
Tr. N°64
Programa PRESTA - 1999 - Eduardo CRIVISQUI
Tr. N°65
III. Resultados del análisis e
interpretación
NUM . VARIABLE
POIDS
MOYENNE
ECART-TYPE
MINIMUM
MAXIMUM
1.C2 Esperanza de vida
10.00
67.00
5.04
54.50
72.20
2.C3 Tiempo de escol.
10.00
6.22
1.53
3.90
8.70
3.C4 Prod. Interior Br
10.00
4049.20
1425.96
1572.00
6169.00
6.C7 Gasto Públ.en Ins
10.00
2.82
0.94
1.00
4.10
8.C9 Taza de Mort.
10.00
47.50
22.92
17.00
89.00
9.C10 Taza Alfabetiz.
10.00
86.20
7.51
71.00
96.00
10.C11 Población Rural
10.00
28.10
14.96
9.00
52.00
11.C12 Cant. Hab./médico
10.00
997.00
369.54
370.00
1530.00
12.C13 Cant. Tel./Hab.
10.00
73.80
42.45
27.00
163.00
13.C14 Taza de Fertil.
10.00
3.33
0.74
2.40
4.70
14.C15 Monto Deuda Tot.
10.00
64.60
27.37
25.00
121.00
15.C16 Import.CargaDeuda
10.00
27.70
10.84
11.00
41.00
16.C17 Empl. Sector Ser.
10.00
50.70
11.44
31.00
68.00
4.C5 I.D.H.
10.00
0.72
0.14
0.40
0.88
5.C6 Prod. Nac. Bruto
10.00
1723.00
753.94
630.00
2680.00
7.C8 Aporte Calór. Cot.
10.00
104.50
13.05
84.00
131.00
III.1. Matriz de correlaciones
V2
V3
V4
V7
V2
1.00
V3
0.74
1.00
V4
0.82
0.51
V7
0.05 -0.08
V9
-0.94 -0.72 -0.82 0.02
V10
0.95
0.80
V9
V10
V11
V12
V13
V14
V15
V16
V17
1.00
0.49
1.00
1.00
0.74 -0.14 -0.95 1.00
V11 -0.70 -0.68 -0.88 -0.50 0.69 -0.65 1.00
V12 -0.60 -0.66 -0.60 -0.20 0.49 -0.63 0.68
V13
0.66
0.57
0.81
1.00
0.29 -0.69 0.66 -0.77 -0.72 1.00
V14 -0.80 -0.69 -0.84 -0.40 0.77 -0.69 0.85
0.60 -0.83 1.00
V15 -0.37 -0.08 -0.38 -0.09 0.29 -0.26 0.29
0.01 -0.43 0.44 1.00
V16
0.00
0.29
0.11 -0.04 -0.20 0.10 -0.11 -0.24 0.44 -0.28 0.33 1.00
V17
0.62
0.71
0.69
0.51 -0.56 0.51 -0.72 -0.57 0.71 -0.85 -0.27 0.38 1.00
Programa PRESTA - 1999 - Eduardo CRIVISQUI
Tr. N°66
III.2. Descomposición de la inercia
VALEURS PROPRES
APERCU DE LA PRECISION DES CALCULS : TRACE AVANT DIAGONALISATION ..
SOMME DES VALEURS PROPRES ....
HISTOGRAMME DES 10 PREMIERES VALEURS PROPRES
13.0000
13.0000
+--+-------+--------+--------+----------------------------------------------------------------------------------+
|N | VALEUR|PORCENT.|PORCENT.|
|
| | PROPRE|
|ACUMUL. |
|
+--+-------+--------+--------+----------------------------------------------------------------------------------+
| 1| 7.7094| 59.30 | 59.30 | ******************************************************************************** |
| 2| 1.6431| 12.64 | 71.94 | ******************
|
| 3| 1.5134| 11.64 | 83.58 | ****************
|
| 4| 0.7998| 6.15 | 89.74 | *********
|
| 5| 0.5247| 4.04 | 93.77 | ******
|
| 6| 0.4992| 3.84 | 97.61 | ******
|
| 7| 0.2009| 1.55 | 99.16 | ***
|
| 8| 0.0878| 0.68 | 99.83 | *
|
| 9| 0.0215| 0.17 |100.00 | *
|
|10| 0.0000| 0.00 |100.00 | *
|
+--+-------+--------+--------+----------------------------------------------------------------------------------+
RECHERCHE DE PALIERS ENTRE (DIFFERENCES SECONDES)
+--------+------------+------------------------------------------------------+
| PALIER | VALEUR DU |
|
| ENTRE |
PALIER
|
|
+--------+------------+------------------------------------------------------+
| 1-- 2|
5936.56 | **************************************************** |
| 3-- 4|
438.40 | ****
|
| 4-- 5|
249.75 | ***
|
| 6-- 7|
185.16 | **
|
| 7-- 8|
46.76 | *
|
+--------+------------+------------------------------------------------------+
III.3. Coordenadas, Contribuciones y
Cosenos Cuadrados de los individuos
(P
aíses)
(Países)
COORDONNEES, CONTRIBUTIONS ET COSINUS CARRES DES INDIVIDUS AXES 1 A 3
+-------------------------+-------------------+----------------+----------------+
|
INDIVIDUS
|
COORDONNEES
| CONTRIBUTIONS | COSINUS CARRES |
|-------------------------+-------------------+----------------+----------------+
| IDENTIFIC. P.REL DISTO |
1
2
3
|
1
2
3 |
1
2
3 |
+-------------------------+-------------------+----------------+----------------+
| URUGUAY
10.00 19.70 | -4.24 -0.14 0.76 | 23.3 0.1 3.8 | 0.91 0.00 0.03 |
| CHILE
10.00
6.92 | -1.85 0.61 -0.49 | 4.4 2.3 1.6 | 0.49 0.05 0.03 |
| ARGENTINA 10.00 12.83 | -2.66 1.90 0.50 | 9.2 22.1 1.7 | 0.55 0.28 0.02 |
| VENEZUELA 10.00
8.18 | -2.05 -1.16 -0.27 | 5.4 8.1 0.5 | 0.51 0.16 0.01 |
| COLOMBIA
10.00
5.70 | -1.22 -0.24 0.43 | 1.9 0.4 1.2 | 0.26 0.01 0.03 |
| BRASIL
10.00
8.13 | 0.26 -2.26 -1.21 | 0.1 31.0 9.7 | 0.01 0.63 0.18 |
| ECUADOR
10.00
8.23 | 1.72 0.74 1.58 | 3.8 3.3 16.5 | 0.36 0.07 0.30 |
| PARAGUAY
10.00 18.86 | 2.88 1.97 -2.51 | 10.7 23.6 41.7 | 0.44 0.21 0.33 |
| PERÚ
10.00
8.86 | 1.83 -1.20 -0.58 | 4.4 8.8 2.2 | 0.38 0.16 0.04 |
| BOLIVIA
10.00 32.59 | 5.32 -0.23 1.79 | 36.7 0.3 21.1 | 0.87 0.00 0.10 |
+-------------------------+-------------------+----------------+----------------+
Programa PRESTA - 1999 - Eduardo CRIVISQUI
Tr. N°67
III.4. Primer Plano P
rincipal : Nube de
Principal
puntos-individuos (P
aíses)
(Países)
Programa PRESTA - 1999 - Eduardo CRIVISQUI
Tr. N°68
III.5. Primer Plano P
rincipal : Nube de
Principal
variables activas
Programa PRESTA - 1999 - Eduardo CRIVISQUI
Tr. N°69
III.6. Coordenadas de las variables
COORDONNEES DES VARIABLES SUR LES AXES 1 A 4
VARIABLES ACTIVES
-------------------------+----------------+-------------------+------------------VARIABLES
|
COORDONNEES | CORR.VAR-FACTEUR | ANC.AXES UNIT.
-------------------------+----------------+-------------------+------------------IDEN - LIBELLE COURT
|
1
2
3 |
1
2
3 |
1
2
3
-------------------------+----------------+-------------------+------------------C2 -Esperanza de vida
| -0.9 0.3 -0.3 | -0.90 0.25 -0.27 | -0.32 0.20 -0.22
C3 -Tiempo de escolariza | -0.8 0.4 0.2 | -0.79 0.38 0.17 | -0.29 0.30 0.14
C4 -Producto Interior Br | -0.9 -0.2 -0.1 | -0.91 -0.22 -0.13 | -0.33 -0.17 -0.10
C7 -Gasto Público en Ins | -0.3 -0.9 0.1 | -0.29 -0.91 0.11 | -0.10 -0.71 0.09
C9 -Taza de Mortalidad < | 0.9 -0.3 0.2 | 0.88 -0.32 0.16 | 0.32 -0.25 0.13
C10-Taza Alfabetización | -0.9 0.4 -0.2 | -0.86 0.45 -0.17 | -0.31 0.35 -0.14
C11-Población Rural
| 0.9 0.2 0.0 | 0.89 0.24 0.00 | 0.32 0.19 0.00
C12-Cant. Hab./médico
| 0.7 -0.1 -0.3 | 0.74 -0.06 -0.27 | 0.27 -0.05 -0.22
C13-Cant. Teléfonos/Hab. | -0.9 -0.1 0.1 | -0.88 -0.13 0.12 | -0.32 -0.10 0.10
C14-Taza de Fertilidad
| 0.9 0.2 0.0 | 0.94 0.18 -0.01 | 0.34 0.14 -0.01
C15-Monto Deuda Total
| 0.4 0.2 0.7 | 0.36 0.24 0.70 | 0.13 0.19 0.57
C16-Importancia Carga de | -0.3 0.1 0.8 | -0.25 0.13 0.83 | -0.09 0.10 0.68
C17-Empleados Sector Ser | -0.8 -0.3 0.2 | -0.82 -0.27 0.24 | -0.29 -0.21 0.20
-------------------------+----------------+-------------------+------------------VARIABLES ILLUSTRATIVES
------------------------+-----------------------+-------------------+
VARIABLES
|
COORDONNEES
| CORR.VAR-FACTEUR |
------------------------+-----------------------+-------------------+
IDEN - LIBELLE COURT
|
1
2
3
|
1
2
3 |
------------------------+-------------------------------+-----------+
C5-Indice de Desarrollo |
-1.0
0.1
-0.2 | -0.96 0.08 -0.19 |
C6-Producto Nacional Br |
-0.8
-0.3
-0.2 | -0.81 -0.27 -0.20 |
C8-Aporte Calórico Coti |
-0.4
0.5
-0.3 | -0.40 0.49 -0.32 |
----------------------------+-------------------+-------------------+
Programa PRESTA - 1999 - Eduardo CRIVISQUI
Tr. N°70
III.7. Primer Plano P
rincipal : Nube de
Principal
variables activas e ilustrativas
Programa PRESTA - 1999 - Eduardo CRIVISQUI
Tr. N°71
III.8. Primer Plano P
rincipal : Nube de
Principal
variables activas e ilustrativas y
«direcciones-resumen» de las
variables
Programa PRESTA - 1999 - Eduardo CRIVISQUI
Tr. N°72
III.9. Primer Plano P
rincipal : Nube de
Principal
puntos-individuos y «direccionesresumen» de las variables
Programa PRESTA - 1999 - Eduardo CRIVISQUI
Tr. N°73