Consultoria Estatística

Descrição

Dados de impostos e consumo
ITBI -Número Índice (X1)	ISSQN - Número Índice (X2)	ICMS - Número Índice (X3)	Embarcados - Número Índice (X4)	Desembarcados - Número Índice (X5)	Alvará (área) - Número Índice (X6)	Habite-se (área) - Número Índice (X7)	Primeiro Emplacamento - Número Índice (X8)	Consumo Água - Número Índice (X9)	Consumo Residencial - Número Índice (X10)	Consumo Industrial - Número Índice (X11)	Consumo Comercial - Número Índice (X12)	Consumo Rural - Número Índice (X13)	Consumo Poder Público - Número Índice (X14)	Consumo Iluminação Pública - Número Índice (X15)	Consumo Serviço Público - Número Índice (X16)	Consumo Próprio - Número Índice (X17)	N° Cons. Residencial - N° Índice (X18)	N° Cons. Industrial - N° Índice (X19)	N° Cons. Comercial - N° Índice (X20)	N° Cons. Rural - N° Índice (X21)	N° Cons. Poder Público - N° Índice (X22)
76.28	121.18	121.06	83.17	70.01	37.42	385.35	143.74	91.05	85.36	66.53	91.86	97.90	91.18	51.17	92.61	114.23	87.02	102.75	93.63	85.16	84.20
61.48	73.34	100.93	89.16	62.28	47.96	150.31	121.73	83.27	81.99	75.13	89.98	86.03	79.72	51.15	91.37	89.88	87.64	103.08	93.70	85.89	83.94
67.42	91.91	104.01	87.02	71.63	53.57	506.62	144.29	84.08	83.17	94.55	94.92	105.69	98.08	80.65	97.10	93.68	88.17	101.76	93.90	85.42	83.16
115.30	85.72	101.58	85.73	68.74	96.67	171.78	162.04	87.58	86.18	91.64	91.30	108.72	97.71	82.61	87.17	82.78	88.59	102.09	94.27	85.89	83.42
58.90	90.12	113.19	87.16	80.74	128.25	87.79	156.67	86.44	78.71	91.68	86.62	98.11	103.39	82.67	92.87	94.96	88.61	101.98	94.27	85.99	81.35
76.04	91.70	104.82	97.00	79.01	119.88	111.71	166.85	83.17	76.90	89.69	84.83	107.25	88.11	82.37	105.06	77.73	89.51	103.19	94.97	86.35	85.49

Possui 75 observações por 22 variáveis

Iremos aplicar o teste de de esferecidade de Bartlett e o de Kaiser-Meyer-Olkin (KMO), onde no primeiro iremos testar se as variáveis não sejam correlacionadas, com as seguintes hipóteses:

\(H_0 : \rho = I_n\)
\(H_1 : \rho \neq I_n\)

rejeitamos \(H_0\) se o pvalor do teste for menor que \(\alpha\), definido como \(\alpha = 0.05 = 5\%\) de siginificância. Já o índice de KMO irá avaliar a adequacidade da base de dados para a análise fatorial, seguindo as seguinte classificação:

Adequação amostral segundo a medida KMO
KMO	Adequação
maior que 0.9	Excelente
(0.8;0.9]	Boa
(0.7;0.8]	Intermediária
(0.6;0.7]	Razoável
(0.5;0.6]	Ruim
menor que 0.5	Inaceitável

A escolha da quantidade de fatores aque se dará por:

Critério do autovalor (eigenvalue);
Critério do diagrama de inclinação (Scree test);
Critério de variância acumulada;

Análise Descritiva

	vars	n	mean	sd	median	trimmed	mad	min	max	range	skew	kurtosis	se
X1	1	75	129.55	71.88	104.45	118.52	47.96	41.97	384.11	342.14	1.47	1.80	8.30
X2	2	75	115.56	32.86	106.02	111.90	18.76	72.00	282.25	210.25	2.03	6.83	3.79
X3	3	75	120.77	18.36	116.17	119.14	16.87	89.34	177.57	88.23	0.89	0.64	2.12
X4	4	75	277.19	158.70	285.88	273.56	243.22	83.17	516.26	433.10	0.04	-1.73	18.33
X5	5	75	220.26	119.52	234.95	219.61	172.54	62.28	405.54	343.25	-0.04	-1.71	13.80
X6	6	75	136.94	95.40	101.57	122.01	68.93	30.02	492.62	462.60	1.41	1.73	11.02
X7	7	75	279.74	191.58	204.16	251.51	137.08	56.87	894.86	837.99	1.27	0.93	22.12
X8	8	75	136.51	32.53	134.57	136.01	31.52	29.77	216.19	186.42	-0.06	0.47	3.76
X9	9	75	101.03	10.58	100.16	100.45	11.44	83.17	126.06	42.89	0.45	-0.62	1.22
X10	10	75	105.86	19.64	101.91	104.46	20.23	72.80	155.39	82.59	0.63	-0.30	2.27
X11	11	75	111.10	28.97	104.81	107.07	14.70	66.53	248.66	182.13	2.49	8.24	3.35
X12	12	75	111.04	18.15	107.01	109.77	19.18	82.19	157.64	75.45	0.62	-0.27	2.10
X13	13	75	122.15	18.51	119.61	121.13	18.82	86.03	163.17	77.14	0.43	-0.54	2.14
X14	14	75	113.68	22.29	113.91	114.74	21.28	43.18	163.41	120.24	-0.65	1.11	2.57
X15	15	75	99.78	11.07	100.73	101.43	5.86	51.15	112.12	60.97	-2.43	7.67	1.28
X16	16	75	108.77	8.84	109.51	109.00	8.07	87.17	126.11	38.93	-0.24	-0.39	1.02
X17	17	75	101.22	13.94	99.71	100.26	14.16	77.73	142.93	65.20	0.69	0.03	1.61
X18	18	75	101.88	8.79	100.00	101.72	9.88	87.02	117.69	30.66	0.22	-1.20	1.02
X19	19	75	111.10	17.30	102.75	107.94	5.55	95.93	158.15	62.22	1.42	0.69	2.00
X20	20	75	101.91	5.57	100.00	101.84	6.18	93.63	110.42	16.79	0.22	-1.50	0.64
X21	21	75	99.21	13.58	97.24	96.80	6.40	85.16	133.83	48.67	1.67	1.83	1.57
X22	22	75	97.57	9.52	100.00	97.38	8.83	79.27	117.36	38.08	0.05	-0.58	1.10

Descrição das Variáveis

X1 = Imposto sobre a transmissão de bens imóveis
X2 = Imposto sobre Serviços de Qualquer Natureza
X3 = Imposto sobre Circulação de Mercadorias e Serviços
X4 = Embarcados
X5 = Desembarcados
X6 = Alvará(é um documento ou declaração governamental que autoriza alguém a praticar determinado ato)
X7 = Habite-se(área)
X8 = Primeiro Emplacamento
X9 = Consumo de água
X10 = Consumo Residencial
X11 = Consumo Industrial
X12 = Consumo Comercial
X13 = Consumo Rural
X14 = Consumo Poder Público
X15 = Consumo Iluminação Pública
X16 = Consumo Serviço Público
X17 = Consumo Próprio
X18 = Número de Consumo Residencial
X19 = Número de Consumo Industrial
X20 = Número de Consumo Comercial
X21 = Número de Consumo Rural
X22 = Número de Consumo Poder Público

Variáveis retiradas após utilização do VIF em ordem de retirada

Ordem	Variáveis	Descrição	VIF
1	X18	Número de Consumo Residencial	250
2	X10	Consumo Residencial	65.93
3	X5	Desembarcados	34.01
4	X20	Número de Consumo Comercial	31.74
5	X19	Número de Consumo Industrial	13.04

Análise Fatorial

Primeiro Ajuste

Correlação

Teste de esferecidade de Bartlett

## $chisq
## [1] 1007.671
## 
## $p.value
## [1] 5.497969e-133
## 
## $df
## [1] 136

Critério de Kaiser-Meyer-Olkin (KMO)

Realizando o teste:

## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = dados_z)
## Overall MSA =  0.83
## MSA for each item = 
##   X1   X2   X3   X4   X6   X7   X8   X9  X11  X12  X13  X14  X15  X16  X17  X21 
## 0.87 0.85 0.40 0.83 0.85 0.62 0.70 0.88 0.77 0.90 0.95 0.52 0.92 0.90 0.87 0.82 
##  X22 
## 0.73

Determinação do número de fatores

Autovalor

##  [1] 9.01 1.61 1.18 0.88 0.78 0.70 0.56 0.44 0.38 0.35 0.27 0.23 0.15 0.15 0.14
## [16] 0.09 0.07

Utilizando o critério de Kaiser, autovalor maior que 1:

## [1] 3

Scree test

Variância acumulada

##  [1] 0.53 0.62 0.69 0.75 0.79 0.83 0.87 0.89 0.91 0.94 0.95 0.96 0.97 0.98 0.99
## [16] 1.00 1.00

Extração das cargas fatoriais

## 
## Loadings:
##     ML2    ML1    ML4    ML3   
## X1   0.750  0.412              
## X2   0.705  0.402         0.118
## X3  -0.151  0.304  0.490       
## X4   0.632  0.460  0.280 -0.112
## X6   0.330  0.191  0.132  0.140
## X7   0.360  0.136  0.257  0.117
## X8  -0.522 -0.101  0.475       
## X9   0.806  0.464         0.192
## X11  0.722  0.307         0.113
## X12  0.686  0.576 -0.184  0.224
## X13  0.644  0.354  0.102  0.196
## X14 -0.114  0.991              
## X15  0.806  0.370              
## X16  0.481  0.524  0.288  0.253
## X17  0.394  0.482 -0.138  0.388
## X21  0.846  0.378              
## X22  0.622  0.587        -0.452
## 
##                  ML2   ML1   ML4   ML3
## SS loadings    6.202 3.582 0.787 0.630
## Proportion Var 0.365 0.211 0.046 0.037
## Cumulative Var 0.365 0.576 0.622 0.659

Rotação obliqua

## 
## Loadings:
##     ML2    ML1    ML4    ML3   
## X1   0.726        -0.130  0.171
## X2   0.783                     
## X3   0.112  0.236  0.531       
## X4   0.693         0.234  0.268
## X6   0.476         0.102       
## X7   0.542 -0.129  0.227       
## X8  -0.357         0.549       
## X9   0.968                     
## X11  0.788                     
## X12  0.757  0.234 -0.256       
## X13  0.811                     
## X14         1.005              
## X15  0.775                0.240
## X16  0.782  0.161  0.254 -0.145
## X17  0.592  0.266 -0.182 -0.300
## X21  0.847        -0.103  0.162
## X22  0.348  0.287         0.643
## 
##                  ML2   ML1   ML4   ML3
## SS loadings    7.471 1.340 0.911 0.735
## Proportion Var 0.439 0.079 0.054 0.043
## Cumulative Var 0.439 0.518 0.572 0.615

Comunalidades

##     X1     X2     X3     X4     X6     X7     X8     X9    X11    X12    X13 
## 0.7363 0.6724 0.3564 0.7030 0.1825 0.2279 0.5168 0.9116 0.6279 0.8862 0.5892 
##    X14    X15    X16    X17    X21    X22 
## 0.9950 0.7909 0.6526 0.5575 0.8592 0.9356

a variavel x6 será eliminada do modelo

Diagrama dos fatores

Segundo Ajuste

Retirando a variavel X6 do modelo

Correlação

Teste de esferecidade de Bartlett

## $chisq
## [1] 841.8392
## 
## $p.value
## [1] 8.872772e-109
## 
## $df
## [1] 120

Critério de Kaiser-Meyer-Olkin (KMO)

Realizando o teste:

## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = dados_z)
## Overall MSA =  0.83
## MSA for each item = 
##   X1   X2   X3   X4   X7   X8   X9  X11  X12  X13  X14  X15  X16  X17  X21  X22 
## 0.86 0.85 0.39 0.83 0.63 0.68 0.88 0.77 0.90 0.95 0.51 0.92 0.89 0.87 0.81 0.73

Determinação do número de fatores

Autovalor

##  [1] 7.64 1.74 1.22 1.10 0.80 0.72 0.57 0.43 0.40 0.34 0.27 0.24 0.22 0.12 0.11
## [16] 0.06

Utilizando o critério de Kaiser, autovalor maior que 1:

## [1] 4

Scree test

Variância acumulada

##  [1] 0.48 0.59 0.66 0.73 0.78 0.83 0.86 0.89 0.91 0.94 0.95 0.97 0.98 0.99 1.00
## [16] 1.00

Extração das cargas fatoriais

## 
## Loadings:
##     ML1    ML2    ML3    ML4   
## X1   0.783         0.470 -0.120
## X2   0.721         0.388 -0.145
## X3          0.179 -0.144  0.278
## X4   0.736  0.221         0.238
## X7   0.291         0.231       
## X8  -0.410                0.217
## X9   0.923                0.150
## X11  0.669 -0.541 -0.135       
## X12  0.915        -0.202 -0.229
## X13  0.777 -0.118         0.121
## X14  0.306  0.731 -0.218       
## X15  0.680  0.142         0.270
## X16  0.713        -0.225  0.314
## X17  0.638        -0.122 -0.136
## X21  0.829 -0.262         0.176
## X22  0.716  0.557              
## 
##                  ML1   ML2   ML3   ML4
## SS loadings    7.338 1.353 0.647 0.550
## Proportion Var 0.459 0.085 0.040 0.034
## Cumulative Var 0.459 0.543 0.584 0.618

Rotação obliqua

## 
## Loadings:
##     ML1    ML3    ML4    ML2   
## X1          0.886              
## X2          0.769  0.127       
## X3   0.413 -0.253 -0.211  0.128
## X4   0.586  0.278         0.204
## X7   0.129  0.365 -0.128       
## X8   0.120 -0.127 -0.466       
## X9   0.570  0.235  0.272       
## X11  0.406         0.462 -0.444
## X12         0.141  0.782  0.193
## X13  0.451  0.305  0.170       
## X14                0.193  0.808
## X15  0.648                0.147
## X16  0.762 -0.122  0.146       
## X17         0.109  0.530       
## X21  0.557  0.264  0.198 -0.228
## X22  0.357  0.365         0.563
## 
##                  ML1   ML3   ML4   ML2
## SS loadings    2.696 2.078 1.609 1.360
## Proportion Var 0.168 0.130 0.101 0.085
## Cumulative Var 0.168 0.298 0.399 0.484

Comunalidades

##     X1     X2     X3     X4     X7     X8     X9    X11    X12    X13    X14 
## 0.8481 0.6946 0.1303 0.6513 0.1418 0.2259 0.8842 0.7635 0.9305 0.6361 0.6827 
##    X15    X16    X17    X21    X22 
## 0.5611 0.6598 0.4502 0.7886 0.8386

a variavel X3 será eliminada do modelo

Diagrama dos fatores

Terceiro Ajuste

Retirando a variavel X3 do modelo

Correlação

Teste de esferecidade de Bartlett

## $chisq
## [1] 822.8506
## 
## $p.value
## [1] 9.258876e-112
## 
## $df
## [1] 105

Critério de Kaiser-Meyer-Olkin (KMO) Realizando o teste:

## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = dados_z)
## Overall MSA =  0.84
## MSA for each item = 
##   X1   X2   X4   X7   X8   X9  X11  X12  X13  X14  X15  X16  X17  X21  X22 
## 0.87 0.85 0.83 0.66 0.73 0.88 0.77 0.89 0.95 0.49 0.92 0.89 0.88 0.81 0.73

Determinação do número de fatores

Autovalor

##  [1] 7.64 1.59 1.15 0.89 0.80 0.69 0.43 0.41 0.34 0.28 0.25 0.22 0.13 0.11 0.06

Utilizando o critério de Kaiser, autovalor maior que 1:

## [1] 3

Scree test

Variância acumulada

##  [1] 0.51 0.62 0.69 0.75 0.81 0.85 0.88 0.91 0.93 0.95 0.96 0.98 0.99 1.00 1.00

Extração das cargas fatoriais

## 
## Loadings:
##     ML1    ML2    ML3    ML4   
## X1   0.458  0.531  0.429 -0.467
## X2   0.360  0.517  0.403 -0.341
## X4   0.580  0.464  0.233       
## X7   0.116  0.182  0.242 -0.201
## X8  -0.157 -0.313 -0.206       
## X9   0.481  0.545  0.579  0.152
## X11         0.470  0.668  0.207
## X12  0.561  0.385  0.553       
## X13  0.401  0.466  0.501       
## X14  0.879 -0.469              
## X15  0.522  0.418  0.223  0.232
## X16  0.495  0.248  0.477  0.317
## X17  0.349  0.139  0.610       
## X21  0.338  0.619  0.519  0.133
## X22  0.908  0.403              
## 
##                  ML1   ML2   ML3   ML4
## SS loadings    3.773 2.801 2.768 0.632
## Proportion Var 0.252 0.187 0.185 0.042
## Cumulative Var 0.252 0.438 0.623 0.665

Rotação obliqua

## 
## Loadings:
##     ML3    ML4    ML2    ML1   
## X1          0.925              
## X2          0.737              
## X4   0.399  0.140  0.412       
## X7          0.391 -0.101       
## X8  -0.275 -0.110 -0.118  0.110
## X9   0.763  0.157  0.144       
## X11  0.859        -0.173 -0.196
## X12  0.652  0.198         0.185
## X13  0.573  0.242              
## X14                       0.970
## X15  0.529         0.412       
## X16  0.793 -0.164         0.210
## X17  0.567  0.218 -0.263  0.287
## X21  0.702  0.168  0.171 -0.172
## X22         0.184  0.776  0.200
## 
##                  ML3   ML4   ML2   ML1
## SS loadings    4.043 1.850 1.145 1.228
## Proportion Var 0.270 0.123 0.076 0.082
## Cumulative Var 0.270 0.393 0.469 0.551

Comunalidades

##     X1     X2     X4     X7     X8     X9    X11    X12    X13    X14    X15 
## 0.8937 0.6755 0.6129 0.1453 0.1662 0.8869 0.7115 0.7776 0.6308 0.9950 0.5502 
##    X16    X17    X21    X22 
## 0.6337 0.5142 0.7849 0.9950

a variável X6 será eliminada

Diagrama dos fatores

Quarto Ajuste

Retirando a variavel X7 do modelo

Correlação

Teste de esferecidade de Bartlett

## $chisq
## [1] 802.2386
## 
## $p.value
## [1] 2.771326e-114
## 
## $df
## [1] 91

Critério de Kaiser-Meyer-Olkin (KMO) Realizando o teste:

## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = dados_z)
## Overall MSA =  0.85
## MSA for each item = 
##   X1   X2   X4   X8   X9  X11  X12  X13  X14  X15  X16  X17  X21  X22 
## 0.89 0.86 0.83 0.77 0.88 0.81 0.91 0.96 0.49 0.92 0.89 0.88 0.80 0.74

Determinação do número de fatores

Autovalor

##  [1] 7.55 1.59 0.90 0.86 0.79 0.48 0.42 0.35 0.28 0.25 0.23 0.14 0.11 0.06

Utilizando o critério de Kaiser, autovalor maior que 1:

## [1] 2

Scree test

Variância acumulada

##  [1] 0.54 0.65 0.72 0.78 0.83 0.87 0.90 0.92 0.94 0.96 0.98 0.99 1.00 1.00

Extração das cargas fatoriais

## 
## Loadings:
##     ML1    ML2    ML3   
## X1   0.807        -0.452
## X2   0.734        -0.391
## X4   0.758  0.209       
## X8  -0.388              
## X9   0.923 -0.123  0.116
## X11  0.651 -0.563  0.140
## X12  0.862              
## X13  0.784 -0.136       
## X14  0.295  0.672  0.192
## X15  0.692  0.126  0.214
## X16  0.714         0.366
## X17  0.613 -0.141       
## X21  0.837 -0.271       
## X22  0.740  0.563       
## 
##                  ML1   ML2   ML3
## SS loadings    7.249 1.280 0.635
## Proportion Var 0.518 0.091 0.045
## Cumulative Var 0.518 0.609 0.655

Rotação obliqua

## 
## Loadings:
##     ML1    ML3    ML2   
## X1          0.885       
## X2          0.775       
## X4   0.434  0.179  0.406
## X8  -0.275 -0.147       
## X9   0.760  0.189  0.123
## X11  0.891        -0.363
## X12  0.647  0.200  0.187
## X13  0.591  0.252       
## X14                0.785
## X15  0.561         0.346
## X16  0.802 -0.199  0.279
## X17  0.532  0.132       
## X21  0.740  0.218       
## X22  0.125  0.304  0.725
## 
##                  ML1   ML3   ML2
## SS loadings    4.220 1.779 1.695
## Proportion Var 0.301 0.127 0.121
## Cumulative Var 0.301 0.428 0.550

Comunalidades

##     X1     X2     X4     X8     X9    X11    X12    X13    X14    X15    X16 
## 0.8556 0.6940 0.6274 0.1551 0.8813 0.7600 0.7528 0.6342 0.5753 0.5410 0.6435 
##    X17    X21    X22 
## 0.4004 0.7780 0.8649

a variável X8 será retirada

Diagrama dos fatores

Quinto Ajuste

Retirando a variavel X8 do modelo

Correlação

Teste de esferecidade de Bartlett

## $chisq
## [1] 897.6411
## 
## $p.value
## [1] 1.507601e-139
## 
## $df
## [1] 78

Critério de Kaiser-Meyer-Olkin (KMO) Realizando o teste:

## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = dados_z)
## Overall MSA =  0.85
## MSA for each item = 
##   X1   X2   X4   X9  X11  X12  X13  X14  X15  X16  X17  X21  X22 
## 0.90 0.88 0.82 0.88 0.80 0.91 0.96 0.53 0.92 0.89 0.87 0.82 0.74

Determinação do número de fatores

Autovalor

##  [1] 8.44 1.04 0.77 0.69 0.43 0.40 0.31 0.25 0.18 0.16 0.15 0.10 0.08

Utilizando o critério de Kaiser, autovalor maior que 1:

## [1] 2

Scree test

Variância acumulada

##  [1] 0.65 0.73 0.79 0.84 0.87 0.90 0.93 0.95 0.96 0.97 0.99 0.99 1.00

Extração das cargas fatoriais

## 
## Loadings:
##     ML1    ML2   
## X1   0.850 -0.106
## X2   0.815       
## X4   0.764       
## X9   0.943       
## X11  0.788       
## X12  0.888  0.146
## X13  0.746  0.178
## X14  0.409  0.423
## X15  0.880 -0.208
## X16  0.706  0.363
## X17  0.619  0.255
## X21  0.926 -0.183
## X22  0.775 -0.102
## 
##                  ML1   ML2
## SS loadings    8.106 0.544
## Proportion Var 0.624 0.042
## Cumulative Var 0.624 0.665

Rotação obliqua

## 
## Loadings:
##     ML1    ML2   
## X1   0.874       
## X2   0.735  0.130
## X4   0.674  0.148
## X9   0.810  0.215
## X11  0.791       
## X12  0.718  0.275
## X13  0.561  0.297
## X14         0.553
## X15  0.980 -0.151
## X16  0.383  0.514
## X17  0.383  0.375
## X21  1.003 -0.115
## X22  0.801       
## 
##                  ML1   ML2
## SS loadings    6.775 0.997
## Proportion Var 0.521 0.077
## Cumulative Var 0.521 0.598

Comunalidades

##     X1     X2     X4     X9    X11    X12    X13    X14    X15    X16    X17 
## 0.7338 0.6647 0.5867 0.8968 0.6266 0.8098 0.5882 0.3461 0.8183 0.6295 0.4478 
##    X21    X22 
## 0.8909 0.6114

Sendo rigoroso, iremos retirar a variável X14.

Diagrama dos fatores

Sexto Ajuste

Retirando a variavel X14 do modelo

Correlação

Teste de esferecidade de Bartlett

## $chisq
## [1] 841.8378
## 
## $p.value
## [1] 6.104914e-135
## 
## $df
## [1] 66

Critério de Kaiser-Meyer-Olkin (KMO) Realizando o teste:

## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = dados_z)
## Overall MSA =  0.87
## MSA for each item = 
##   X1   X2   X4   X9  X11  X12  X13  X15  X16  X17  X21  X22 
## 0.89 0.90 0.85 0.87 0.75 0.88 0.96 0.91 0.94 0.93 0.83 0.74

Determinação do número de fatores

Autovalor

##  [1] 8.23 0.79 0.69 0.52 0.40 0.32 0.28 0.23 0.18 0.15 0.13 0.08

Utilizando o critério de Kaiser, autovalor maior que 1:

## [1] 1

Scree test

Variância acumulada

##  [1] 0.69 0.75 0.81 0.85 0.89 0.91 0.94 0.96 0.97 0.98 0.99 1.00

Extração das cargas fatoriais

## 
## Loadings:
##     ML1    ML2   
## X1   0.849 -0.127
## X2   0.816       
## X4   0.767       
## X9   0.947  0.130
## X11  0.786       
## X12  0.885  0.113
## X13  0.749  0.207
## X15  0.881 -0.216
## X16  0.705  0.319
## X17  0.615  0.257
## X21  0.922 -0.139
## X22  0.774 -0.280
## 
##                  ML1   ML2
## SS loadings    7.936 0.405
## Proportion Var 0.661 0.034
## Cumulative Var 0.661 0.695

Rotação obliqua

## 
## Loadings:
##     ML1    ML2   
## X1   0.867       
## X2   0.806       
## X4   0.770       
## X9   0.920  0.162
## X11  0.787       
## X12  0.861  0.144
## X13  0.709  0.234
## X15  0.913 -0.189
## X16  0.647  0.345
## X17  0.567  0.280
## X21  0.941 -0.109
## X22  0.818 -0.257
## 
##                  ML1   ML2
## SS loadings    7.833 0.427
## Proportion Var 0.653 0.036
## Cumulative Var 0.653 0.688

Comunalidades

##     X1     X2     X4     X9    X11    X12    X13    X15    X16    X17    X21 
## 0.7375 0.6681 0.5894 0.9145 0.6191 0.7959 0.6037 0.8223 0.5984 0.4441 0.8698 
##    X22 
## 0.6773

Diagrama dos fatores

Sétimo Ajuste

Retirando a variavel X17 do modelo

Correlação

Teste de esferecidade de Bartlett

## $chisq
## [1] 800.6905
## 
## $p.value
## [1] 6.414448e-133
## 
## $df
## [1] 55

Critério de Kaiser-Meyer-Olkin (KMO) Realizando o teste:

## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = dados_z)
## Overall MSA =  0.86
## MSA for each item = 
##   X1   X2   X4   X9  X11  X12  X13  X15  X16  X21  X22 
## 0.89 0.90 0.85 0.85 0.73 0.88 0.96 0.91 0.94 0.82 0.73

Determinação do número de fatores

Autovalor

##  [1] 7.85 0.70 0.56 0.48 0.34 0.28 0.23 0.20 0.16 0.13 0.08

Utilizando o critério de Kaiser, autovalor maior que 1:

## [1] 1

Scree test

Variância acumulada

##  [1] 0.71 0.78 0.83 0.87 0.90 0.93 0.95 0.97 0.98 0.99 1.00

Extração das cargas fatoriais

## 
## Loadings:
##     ML1    ML2   
## X1   0.850 -0.173
## X2   0.814       
## X4   0.772  0.104
## X9   0.945  0.102
## X11  0.790       
## X12  0.879       
## X13  0.753  0.237
## X15  0.879 -0.173
## X16  0.716  0.470
## X21  0.922 -0.158
## X22  0.775 -0.180
## 
##                  ML1   ML2
## SS loadings    7.572 0.418
## Proportion Var 0.688 0.038
## Cumulative Var 0.688 0.726

Rotação obliqua

## 
## Loadings:
##     ML1    ML2   
## X1   0.920       
## X2   0.734  0.107
## X4   0.530  0.304
## X9   0.678  0.337
## X11  0.685  0.138
## X12  0.708  0.220
## X13  0.359  0.490
## X15  0.945       
## X16         0.816
## X21  0.963       
## X22  0.865 -0.101
## 
##                  ML1   ML2
## SS loadings    5.796 1.213
## Proportion Var 0.527 0.110
## Cumulative Var 0.527 0.637

Comunalidades

##     X1     X2     X4     X9    X11    X12    X13    X15    X16    X21    X22 
## 0.7518 0.6636 0.6064 0.9029 0.6237 0.7737 0.6233 0.8034 0.7330 0.8756 0.6326

Diagrama dos fatores

Interpretação dos Fatores

## Factor Analysis using method =  ml
## Call: fa(r = correlacao, nfactors = 2, rotate = "oblimin", fm = "ml")
## Standardized loadings (pattern matrix) based upon correlation matrix
##      ML1   ML2   h2    u2 com
## X1  0.92 -0.08 0.75 0.248 1.0
## X2  0.73  0.11 0.66 0.336 1.0
## X4  0.53  0.30 0.61 0.394 1.6
## X9  0.68  0.34 0.90 0.097 1.5
## X11 0.68  0.14 0.62 0.376 1.1
## X12 0.71  0.22 0.77 0.226 1.2
## X13 0.36  0.49 0.62 0.377 1.8
## X15 0.94 -0.07 0.80 0.197 1.0
## X16 0.05  0.82 0.73 0.267 1.0
## X21 0.96 -0.04 0.88 0.124 1.0
## X22 0.86 -0.10 0.63 0.367 1.0
## 
##                        ML1  ML2
## SS loadings           6.29 1.70
## Proportion Var        0.57 0.15
## Cumulative Var        0.57 0.73
## Proportion Explained  0.79 0.21
## Cumulative Proportion 0.79 1.00
## 
##  With factor correlations of 
##      ML1  ML2
## ML1 1.00 0.72
## ML2 0.72 1.00
## 
## Mean item complexity =  1.2
## Test of the hypothesis that 2 factors are sufficient.
## 
## The degrees of freedom for the null model are  55  and the objective function was  11.52
## The degrees of freedom for the model are 34  and the objective function was  0.91 
## 
## The root mean square of the residuals (RMSR) is  0.04 
## The df corrected root mean square of the residuals is  0.05 
## 
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy             
##                                                    ML1  ML2
## Correlation of (regression) scores with factors   0.98 0.92
## Multiple R square of scores with factors          0.97 0.85
## Minimum correlation of possible factor scores     0.93 0.71

Onde temos:

ML1 = 21,15,1,22,2,12,11,9,4
ML2 = 16,13

Análise de Componentes Principais

Matriz de Covariancia

## Importance of components:
##                           PC1     PC2     PC3     PC4     PC5     PC6     PC7
## Standard deviation     3.4235 1.41040 1.21303 1.07259 0.98770 0.90722 0.83884
## Proportion of Variance 0.5327 0.09042 0.06688 0.05229 0.04434 0.03741 0.03198
## Cumulative Proportion  0.5327 0.62316 0.69005 0.74234 0.78669 0.82410 0.85608
##                            PC8     PC9    PC10    PC11    PC12    PC13   PC14
## Standard deviation     0.74369 0.71770 0.64711 0.59768 0.56976 0.54071 0.5094
## Proportion of Variance 0.02514 0.02341 0.01903 0.01624 0.01476 0.01329 0.0118
## Cumulative Proportion  0.88122 0.90463 0.92367 0.93991 0.95466 0.96795 0.9798
##                           PC15    PC16   PC17   PC18    PC19    PC20    PC21
## Standard deviation     0.35581 0.33852 0.3002 0.2570 0.14718 0.12851 0.08853
## Proportion of Variance 0.00575 0.00521 0.0041 0.0030 0.00098 0.00075 0.00036
## Cumulative Proportion  0.98550 0.99071 0.9948 0.9978 0.99879 0.99954 0.99990
##                          PC22
## Standard deviation     0.0467
## Proportion of Variance 0.0001
## Cumulative Proportion  1.0000

Scree plot

Escores

##              PC1         PC2          PC3          PC4         PC5         PC6
##  [1,] -4.9701506  1.63383867 -0.297050731 -1.493200635  1.48679607 -1.43456632
##  [2,] -6.0781501  2.25052082  1.071008085 -1.101656516  0.77264458 -0.77428987
##  [3,] -4.5549575  1.37622958 -0.252923375 -1.327866395  0.25544358 -1.05042060
##  [4,] -4.8322459  1.50617662  0.053036878 -0.839585595  0.41028663  0.64852508
##  [5,] -4.9973071  1.09210023 -0.140403558 -0.021681205  0.63310128  0.13032686
##  [6,] -4.8026793  1.13497691 -0.142054109 -0.367276171 -0.49310123  0.47113774
##  [7,] -4.2901734  0.86584847 -0.635688717 -0.117635422  0.22932037 -0.32104860
##  [8,] -3.8671293  1.40017001 -0.378689402 -1.174770283 -0.67483016 -0.40655470
##  [9,] -3.0755451  0.69121055 -0.737402117  0.108748905  0.96353873 -0.15981180
## [10,] -2.5031538  0.27206028  0.435363587  0.787257468  0.05555986 -0.16412347
## [11,] -2.2559816  0.18462116  1.222905657  0.883731297  1.31494292 -0.89303295
## [12,] -2.1509385  0.15859514 -0.728453299 -1.185444780  0.84451775 -0.83687405
## [13,] -3.3730045  0.32074898  0.806154929  0.612985055  0.72933099 -0.43934653
## [14,] -3.7734659  0.92934211  1.543796595  0.330546966 -0.30874139  0.26773056
## [15,] -3.4876028  0.30974196  0.135275295  1.255872779  0.04222496  0.80129959
## [16,] -3.5753844  0.07276664  0.890601000  0.148780583  0.95654355  0.46127097
## [17,] -3.2439874  0.51585019 -2.367071458 -1.999002329  0.23422322 -0.31479432
## [18,] -3.8342448 -0.30257357 -1.709574945  0.694006170 -0.14656830  1.23356591
## [19,] -3.4456240  0.09402525 -1.082949146 -0.617250248 -0.48107651  0.10527217
## [20,] -3.1863100  0.06398148 -0.459953536  0.340098626 -0.30121542  0.52360198
## [21,] -2.6649647 -1.08040346 -1.263866349  2.056784733  0.09302295  0.46010009
## [22,] -2.0539430 -0.85220326 -0.805057783  1.384249371  0.41110023 -0.27346574
## [23,] -2.4995870 -0.03336496  0.242863644  0.423338535  1.37684871  0.32624527
## [24,] -3.0438580 -1.43477984 -1.546847736  1.773479609  0.34106041  1.94516696
## [25,] -3.0468614 -0.23600820  0.202691729  1.243622836  0.39101418  0.39809184
## [26,] -3.3686100  0.73402502  0.798622114  0.037963223 -0.34493319  0.61427334
## [27,] -1.6462856 -1.08067018 -2.325335842  1.540995870  0.54013222  0.45091475
## [28,] -1.3431301 -0.74879275 -2.559206330  0.345470825  1.37998585  1.09526196
## [29,] -1.3492878 -0.79991146 -0.382108821  0.186622263  0.33586353 -0.19690922
## [30,] -2.0118709 -1.63778067 -1.817896547  0.603399309 -2.27542117 -0.51149932
## [31,] -1.2787627 -1.19998898 -0.515421074  0.328456736 -2.09727310  0.03669210
## [32,] -1.1823866 -1.60843168 -1.817306781  0.117765086 -2.36233203 -0.14768136
## [33,] -0.5177808 -1.74865673 -0.516249203 -0.198386012 -1.55492070 -0.92518526
## [34,]  0.8997002 -2.08283823  0.333635257  0.235032572  0.36504098 -1.94562278
## [35,]  0.9323224 -1.77957601  2.116928662  0.724154158 -0.13557490 -1.60647256
## [36,] -0.4837861 -2.23098443 -0.282230519 -0.652476990  0.47942535 -1.08784220
## [37,] -1.8064455  1.03008400  1.548439161  0.041516958  0.63794306  0.62348332
## [38,] -1.9739450  1.01943599  0.692892380 -0.369649391 -0.20409845  0.29474296
## [39,] -1.2408744 -0.02713478  0.740116227  1.219061895 -0.25735399  0.30629577
## [40,] -0.4792252 -0.18119896  1.287791042  0.316707009  0.79605840  0.04026089
## [41,] -0.8132485 -1.09970424  0.647926194  0.772789763  0.03428073  0.19796315
## [42,] -0.6950029 -0.81461199  1.148216875  0.009491152 -0.35694584  0.35695668
## [43,] -0.3783656 -1.04947345  1.013403013 -0.022790646 -2.20954794  0.34253129
## [44,]  1.0989064 -1.12105390 -1.812446911 -1.247473252 -1.33247799 -0.41571449
## [45,]  1.4143067 -0.98924546  1.076037236  0.537126538 -1.25718581 -0.35531994
## [46,]  2.4823358 -1.32968164  1.140162900  1.078337752  0.35773235 -1.74395808
## [47,]  1.1892526 -1.82727589  0.159297052  0.356276196 -1.64889199  0.04019556
## [48,]  2.5786363 -2.09859082 -1.692096013 -1.455881031 -0.32568900 -2.51282980
## [49,]  0.5437729 -1.03447025  1.673303092 -0.026632413 -0.91147980  0.41728359
## [50,]  0.1463163  1.12160518  1.944275779 -0.619166240 -0.76503116  0.66004321
## [51,]  1.8230021  0.11392664  1.383684909 -1.114246220  0.17253386 -1.07973476
## [52,]  1.6217217 -0.20422847  2.663752906 -0.363783299  0.14745272 -0.65181415
## [53,]  2.2722026 -0.80923497  0.555672393 -0.452161751 -0.16961427 -0.28597563
## [54,]  1.2212956 -0.69720073  1.639552339 -0.537003330 -0.86939349  0.03436843
## [55,]  1.6553569 -0.30358246  1.080862660 -0.912720125 -1.30267420 -0.42316061
## [56,]  3.3535694  0.91859069  1.053333887 -2.756920833 -1.13790273  3.08999217
## [57,]  2.4024310  0.87111960  1.399262567 -0.442292000 -0.03008889  0.13636676
## [58,]  4.0272536 -0.88267691 -0.004399245  0.601204778  1.08290226 -0.27657239
## [59,]  3.2853405 -0.56733154  0.829029899  0.404069817  1.01128841  0.35466124
## [60,]  3.8272623 -0.17054884 -0.237087301 -2.900511057  0.60559516  1.03842398
## [61,]  1.9869510  0.35453236  0.481252648 -0.129872553 -0.19365825  1.90768629
## [62,]  2.6748309  0.38318937  0.623736674 -0.513873454  0.01762105  1.43901614
## [63,]  3.6248425  0.51284202  0.677474655 -0.398435405  0.97242440 -0.38516162
## [64,]  4.3878621 -0.37952069 -0.276376068 -0.394331438  1.83647091 -0.79950057
## [65,]  3.8364952 -0.31755712 -0.540818753 -0.335362447  1.44784532  0.15819359
## [66,]  3.7366882 -0.18880753 -0.128233964 -1.101107307  0.31552782  0.63393141
## [67,]  6.0261092 -0.72401058 -2.975351658 -1.247907346  1.34803298  0.65336311
## [68,]  5.6441724 -1.42206646  0.120959711 -0.326711017 -0.23296683  0.58291668
## [69,]  5.7683037  0.52303282 -1.946728699 -2.090984212 -0.06038098  0.48374906
## [70,]  6.7462253  0.09014054  0.516742428  1.214895715  0.58743488  0.69700780
## [71,]  5.9928157 -0.20647108  1.086731963  1.509415337  0.42495266  0.58293479
## [72,]  7.1693918  0.17172185 -1.064254652  1.874715355  2.18000512  0.17459416
## [73,]  4.1465562  4.03409257 -0.992191478  2.614259790 -1.69335376  0.07845306
## [74,]  5.4847172  5.13490057 -1.489422410  0.368362414 -1.35094051 -1.60192020
## [75,]  6.1753116  5.41659885 -1.113645497  1.774455907 -1.13240705 -1.27368837
##                PC7         PC8         PC9          PC10         PC11
##  [1,]  2.717370132 -0.37132901  1.10756470 -0.3184550146 -0.865760133
##  [2,]  1.151373213 -0.32901910  0.98445713 -0.0001672857 -1.885842879
##  [3,]  0.442367861 -0.01797333 -0.65174940  0.1104712655 -0.021814619
##  [4,]  0.281242470  0.48240935  0.05183317  0.2989505770 -0.608821963
##  [5,]  0.095498167  0.18484813  0.91881785  0.0930985697 -0.221940327
##  [6,] -0.358261040  0.96095643  0.20020547 -0.4643435999 -0.343460144
##  [7,]  0.097091406  1.14817732  0.56260588 -0.3663000720 -0.134941333
##  [8,]  0.471153978  0.55373978 -0.96754443 -0.5093514935 -0.349129461
##  [9,]  0.002844808  0.99515115  0.22489277 -0.8325992638 -0.523851176
## [10,] -0.343495167  0.95968918 -1.01521457 -1.2903749981  0.545751672
## [11,] -0.205094446  0.57817526 -0.28427931 -0.8842730430  0.706834033
## [12,] -0.983490765 -0.93819285 -1.03053601 -0.8991285470  0.607087550
## [13,] -0.112625727  0.14296080  0.04743388  0.3180487541  0.681428285
## [14,] -0.685800610  0.01848841 -0.70611394  0.1266352572  0.036128959
## [15,]  0.672802831 -0.04302085 -0.51092619  0.2170392849 -0.170953514
## [16,]  0.212270985  0.16870535 -0.54532561  0.3616649464  0.191183671
## [17,] -1.012755247 -0.49928983 -1.31646727  0.6360889731 -0.008405912
## [18,] -0.873411426 -0.40972466  0.60823858 -0.6325047338 -0.130667146
## [19,]  0.302346033 -0.35517368 -0.70845004  0.3270727516  0.598702520
## [20,] -0.722162994  0.26397786 -0.18720740 -0.3446286559  0.539250692
## [21,]  1.512135524 -1.06064633 -0.18034764 -0.2611834129  0.509548774
## [22,]  0.375254467  0.09620005 -0.65391845 -0.2336651138  0.649632109
## [23,] -0.155875427  0.04883906  0.43608316  0.8869893684  0.652136984
## [24,]  0.631093269 -1.43458471  0.07519332 -0.1746756357 -0.141571451
## [25,]  0.266326596 -0.49003519 -0.11601328  0.7392035609  0.434649963
## [26,] -0.467147562  0.04878591 -0.15247513  1.3504708578  0.018368409
## [27,]  0.130771863  0.61993397  0.03157538  0.0589497323  0.405606282
## [28,] -2.341997423 -0.26886111  0.91577114 -0.8154278931 -0.340506402
## [29,] -0.426935915  1.38323662  0.03021980  0.3215682536  0.588134818
## [30,]  0.869766925 -0.04554758 -1.00972241  0.2264834091  0.289225398
## [31,]  0.562047202  1.16603611  1.09579475  0.6198215940 -0.016302866
## [32,] -0.229283159  0.66900509  0.98106683  0.0811255002  0.025003693
## [33,]  0.160144864  1.42892407  0.25236586  1.1536669882 -0.116018931
## [34,]  0.594587206  0.83274638  0.51098176  0.2736717554  0.477533251
## [35,]  0.626561752 -2.36837978  0.67578471 -1.4028453809 -0.255249536
## [36,]  0.794391222 -0.25557312  0.71838259  1.8520130983  0.671931498
## [37,] -0.712271348 -0.64654051  0.01888634  0.6309804504 -0.102004542
## [38,] -1.583599825 -0.67520324 -0.36255372  0.4414902029 -0.834567618
## [39,] -0.272368845 -0.17064297 -0.81567389  0.1194724523 -0.196707498
## [40,] -0.636642045  0.61739271 -0.61867403 -0.5781757012  0.157726410
## [41,]  0.638594777 -0.33945896  0.14238708 -0.1025835599 -0.552382804
## [42,] -0.205991334  0.25614871  0.01112298 -0.0249476926 -0.017427336
## [43,] -0.317334762  0.24852926  0.55945834 -0.0734080157 -0.188204418
## [44,] -1.359557929 -0.85471127  0.13465491 -0.8702812156 -0.543057071
## [45,]  0.158046193  0.68603161  0.38094635 -0.4405333504 -0.485556338
## [46,] -0.851237427  0.24689148  0.88679837 -0.7521289091  0.082620091
## [47,]  0.540156510 -0.71448455 -1.04723283 -0.5326868817 -0.607533321
## [48,] -0.373558990 -0.53966127 -0.70951457 -0.2643285090  0.216221277
## [49,] -0.661562550 -1.12001796  0.22005385  0.0072693126 -0.340582559
## [50,] -1.501183632 -0.65801118  0.13867778  0.4840538771 -0.177125067
## [51,] -0.178441393 -0.06577714 -0.20907903  0.1127037296  0.084810754
## [52,] -0.769798842 -0.02075665  0.17744252  0.5668212595  0.040377387
## [53,] -0.251555731 -0.70769881  0.79700768 -0.5774384208 -0.166183679
## [54,] -0.469230688 -0.30306446  0.91945490  0.5827120378 -0.003052614
## [55,]  0.127128694  0.45353955  0.07160642  0.1209880754 -0.222493569
## [56,]  1.548725003  1.25518283  1.46176105 -1.7198882508  1.688487634
## [57,] -0.285695905  0.15287364 -1.17885264 -0.7250679029 -0.027825213
## [58,]  0.551350612 -0.41302999 -0.42552788 -0.7014199131 -0.108997347
## [59,]  0.270315763 -0.46870573 -0.88753869 -0.4503815946  0.558309321
## [60,]  1.431743670 -0.27931232 -1.62412325 -0.1057171015  0.810275611
## [61,]  0.968922047 -0.78904849 -0.25799082  0.8643089998  0.385208390
## [62,] -0.241333780 -0.56985954  0.73944648  0.3410123633  0.306125247
## [63,]  0.260445392  0.22076098  0.57410920  0.2392314774  0.294053473
## [64,]  0.561407028 -0.22262335  0.58935044  0.9202604286  1.127647579
## [65,] -1.022496183 -0.27790909  1.51676485  0.1644741024  0.696504326
## [66,] -1.374665694 -0.42205503  0.20632868 -0.0645492773  0.408552025
## [67,]  0.991976156 -0.30250670  0.65870410  0.0463050559 -0.934977072
## [68,]  0.761822837  0.93572871 -0.89342953 -0.3313813292 -1.139650908
## [69,] -0.851253262 -0.05119448 -0.37781696  0.6980995135 -1.206155610
## [70,]  1.740824898  0.28491211 -0.71041595  0.0470704005 -1.155783176
## [71,] -0.071996861  1.37024106 -1.47401561  0.8541582569 -0.734610486
## [72,] -1.080809431  1.52539407  0.30105318  0.2532743257 -1.008459259
## [73,]  0.658353205 -1.73172799  0.69690501  0.5542485337  0.041344733
## [74,] -0.098501691 -0.28718807 -0.40964715  0.7502308409  0.992895732
## [75,] -0.089830503  0.51392785  0.40618837 -1.1073584242  0.369276748
##               PC12        PC13        PC14        PC15        PC16         PC17
##  [1,]  0.731236498  0.26419837  0.63656195  0.38108373  0.45499239  0.088088402
##  [2,]  1.198379165  0.61819157 -0.18225439 -0.22377465  0.29576416  0.150937251
##  [3,]  0.150470171  0.01065316 -0.31502751  0.36172540  0.08161019 -0.206068867
##  [4,]  0.006313607 -0.57648726 -0.56668792 -0.26686029 -0.79766175 -0.168322337
##  [5,] -0.008485341 -0.05951968 -0.13757492  0.25810369 -0.48354421 -0.025349351
##  [6,]  0.513102760  0.63754625 -0.05512726 -0.45350974  0.12298776  0.052949823
##  [7,] -0.517885639  0.23139119  0.08290666 -0.05382835  0.19142384  0.460175157
##  [8,]  0.005454666 -0.11369035  0.10517386  0.10749886 -0.05757857  0.265570768
##  [9,]  0.181791670 -0.88388698  0.40013756 -0.16731350 -0.35985557  0.095395401
## [10,]  0.222111233  0.38312426  0.52820398 -0.40541778 -0.21789422 -0.005575352
## [11,] -0.496002065  0.01466680  0.63448734 -0.01723692 -0.21791721 -0.206271252
## [12,]  0.285100593  0.56177517  0.36150724  0.06415670 -0.26261401 -0.387805899
## [13,] -0.326939745  0.19718868  1.27898387 -0.62125918  0.18242623 -0.083896834
## [14,]  0.119014931  0.22361588 -0.02786145 -0.36285958 -0.16668387 -0.195469703
## [15,] -0.234823847 -1.37193965 -0.27890367 -0.01816589 -0.05749686 -0.146391422
## [16,] -0.637101996 -0.53926542 -0.37304119  0.58729084 -0.53287608 -0.115655023
## [17,]  0.003706406 -0.53778617 -0.43173441  0.75626936 -0.26329316 -0.024904412
## [18,]  0.065043441  0.51763471 -0.45359772  0.16874755 -0.11059604  0.154216969
## [19,] -0.537966269  0.35941701 -0.30538051  0.43311583  0.31812846  0.063012635
## [20,] -0.125378641  0.59602811 -0.07323320 -0.12411181  0.14604472 -0.046327082
## [21,] -0.521965830  0.02534051 -0.02651221 -0.07777154  0.31277090  0.132430985
## [22,]  0.030355901  0.28776957  0.25104597  0.06076246  0.24987465  0.150026713
## [23,] -0.569068511  0.02580860  0.10742708  0.09297555 -0.26209211 -0.008275071
## [24,]  0.398430550 -0.11318140  0.11969661  0.04701373 -0.15184098 -0.103934143
## [25,] -0.120560326 -0.08439261  0.40844102 -0.11893751  0.33731703 -0.155863699
## [26,] -0.274960148 -0.30652160 -0.09570477 -0.18113793  0.13408809 -0.159074275
## [27,]  0.094271892 -0.50360425 -0.36818351 -0.68464939  0.29290284  0.028230212
## [28,]  0.519512536 -0.24630580 -0.29696155  0.03672782 -0.02419029 -0.275109968
## [29,] -0.031791008  0.39200743 -0.13097543  0.06205052 -0.37848927  0.016450748
## [30,]  0.226254899  0.93611046 -0.07795664  0.17593973  0.54345556  0.273674338
## [31,] -0.127590340 -0.06012649  0.17099093  0.17345358 -0.45316006  0.014982201
## [32,]  0.459956235  0.63760349  0.35065139 -0.34104493  0.35652822 -0.075393668
## [33,]  0.605485718 -0.27036279  0.14783754 -0.51938236 -0.39242644 -0.253819830
## [34,] -0.038697663 -0.01392006  0.32828344 -0.18579646 -0.38618592 -0.442081523
## [35,] -0.769648796  1.36648456 -0.64501888 -0.13410480 -0.05209743 -0.610409373
## [36,]  0.222986420  0.55041015 -0.48409229  0.58799789 -0.24620571 -0.351232285
## [37,] -0.617237297  0.47011464  0.38648201  0.08340431  0.15828583 -0.134036592
## [38,] -0.453277614 -0.15691091  0.22195870 -0.23100084  0.60917831 -0.237163053
## [39,] -0.787279564 -0.25877225 -0.44682936  0.15780748  0.54606810 -0.119058642
## [40,] -0.854176758  0.23484189 -0.04730462  0.15649392  0.41308362 -0.203914218
## [41,] -0.153674135  0.02628444 -0.94157521  0.30754399  0.10201449  0.461528437
## [42,] -0.737271788  0.48627306 -0.22510558 -0.06427132 -0.09133452  0.643703609
## [43,] -0.322155986 -0.03453235  0.13483336  0.32804756  0.25009245  0.317604359
## [44,] -0.239132430 -0.87149848 -0.07240356  0.11189682  0.24884668 -0.098829484
## [45,]  0.248193504 -1.49686962  0.03956858 -0.10572047  0.08535584 -0.233869450
## [46,]  0.153759210 -0.19524304  0.39488981 -0.18545577 -0.29028964  0.129554007
## [47,]  0.644723345 -0.83176999 -0.41551529  0.05698860 -0.45574817  0.019627196
## [48,]  0.610086268 -0.65197963  0.12546487  0.03103430  0.44579752 -0.217722721
## [49,]  0.692703883  0.18629558  0.33626989 -0.07262359 -0.31509009 -0.155969046
## [50,]  0.259388071 -0.09196451  0.19921857 -0.18235488  0.06292452 -0.046375980
## [51,] -0.115557464 -0.56113830 -0.44792457 -0.04383025  0.38274039 -0.181524955
## [52,] -0.043417416 -0.30331890 -0.56089237  0.04837098 -0.32778310 -0.106726917
## [53,] -0.190879763 -0.05632083 -0.92038043 -0.17253969 -0.29740206  0.074037970
## [54,] -0.139277280  0.13598159 -0.30563479  0.44608798 -0.09566641  0.264174649
## [55,] -0.732698838 -0.36840562 -0.28614467 -0.11400203  0.44411078  0.619308125
## [56,]  0.004069774 -0.23221904 -0.16069751  0.53737565  0.39078212 -0.938071652
## [57,] -0.198594640 -0.87629838  0.99569733  0.42220489  0.28359349  0.427804392
## [58,]  0.419420255 -0.68505915 -0.08895085 -0.47202969 -0.40896812  0.514993061
## [59,]  1.002672157 -0.10298235  0.27317938  0.50262452  0.01419644  0.363911314
## [60,]  0.467464272  0.68105867 -1.13660994 -1.09792410 -0.56351943  0.244714225
## [61,]  1.261184593 -0.26048439  0.39904248  0.17208114  0.14373165  0.260707868
## [62,] -0.409205017  0.27373737 -0.29357674 -0.87725179  0.03758072  0.512249828
## [63,]  0.218952225 -0.32396873  0.03825053 -0.25555771  0.48705242  0.534162150
## [64,] -0.272590903 -0.92067101  0.15136095  0.16793862  0.31661043  0.262701124
## [65,]  0.700853595  0.22679687  0.52313663  0.07713008  0.17862896  0.341462114
## [66,]  1.146264243  0.50261068  0.54667505  0.18951616 -0.19804982  0.242782802
## [67,] -1.793671471 -0.20212187  0.61312979 -0.24065591 -0.10031025 -0.230684210
## [68,] -1.217352842  1.23842576  1.02001184  0.74108353 -0.80502882  0.392738350
## [69,] -0.666103255  0.40551202  1.07421782 -0.31985441  0.03187049 -0.267502897
## [70,] -0.119873302 -0.18374819 -0.11064434 -0.51430940  0.38702404 -0.662705443
## [71,]  1.537824078  0.86837346  0.25434202  0.32279069  0.29762532 -0.538789954
## [72,]  0.228706327  0.55449993 -1.60122562  0.47953474  0.36187231 -0.033215486
## [73,]  0.170165362 -0.29387315  0.97392199  0.24052267 -0.65938656 -0.128015826
## [74,] -0.575399841  0.40687764 -0.60440147 -0.41612122 -0.05083056 -0.122842712
## [75,]  0.172283316  0.10649170 -0.62234171  0.38727378 -0.16527464  0.130343425
##               PC18          PC19          PC20         PC21          PC22
##  [1,] -0.401887873  0.0610316494 -0.0251642240  0.059549590 -0.0068044421
##  [2,] -0.027895350  0.1930223573 -0.0356038813 -0.043662287 -0.0172000958
##  [3,]  0.303448511 -0.2079999082 -0.0126664291  0.144315231  0.0501626803
##  [4,]  0.152038191 -0.1615169497  0.0500139928 -0.062067144  0.0729114311
##  [5,]  0.360095006 -0.0491602009  0.0893793224  0.063601501  0.0637912693
##  [6,]  0.406252435 -0.0005405119  0.0674128208 -0.023040083  0.0631967380
##  [7,]  0.404515176 -0.0389356875 -0.0029178241  0.044678286 -0.0275412272
##  [8,]  0.118239089 -0.2099963642 -0.0005256204 -0.021488785 -0.0295667996
##  [9,]  0.085286296  0.0930752584  0.0131060329  0.014654777 -0.0824443121
## [10,]  0.192040903  0.0185346716 -0.0131189335 -0.002954851  0.0942625369
## [11,]  0.192554855 -0.0410448752  0.0805392132 -0.067771731  0.0110589132
## [12,]  0.067043154 -0.1223613849 -0.0178886375  0.133709766 -0.0004094856
## [13,]  0.154732393  0.0334654266  0.0460110414 -0.103751221  0.0206878628
## [14,] -0.032014035 -0.1093795641 -0.0517720266  0.090483624 -0.0460638467
## [15,]  0.119720363 -0.1101467634 -0.0648316203  0.019571857  0.0279105761
## [16,]  0.110088413  0.0144785727 -0.0614238462 -0.025466431 -0.0552235704
## [17,] -0.402078801 -0.1654187418 -0.1377580734  0.057363534 -0.0326719557
## [18,]  0.055512488  0.1094388439 -0.0028452200 -0.042023081 -0.0634724808
## [19,]  0.089207981 -0.0455369002 -0.0534243764  0.003042428  0.0001051278
## [20,]  0.080673349  0.0426730505 -0.0169669654 -0.034448631 -0.0512512193
## [21,] -0.005946019 -0.1143904179 -0.0603923089  0.102147060  0.0013177777
## [22,] -0.079127913  0.0375733148 -0.0602427473 -0.041813422  0.0207309742
## [23,] -0.028960377 -0.0550343911 -0.0212448693 -0.091061590 -0.0116593870
## [24,]  0.155344116  0.0839245989 -0.0896224418  0.082956756 -0.0772466922
## [25,] -0.020776458 -0.0399091596  0.0421588044 -0.080402783 -0.0525356802
## [26,] -0.036593486 -0.0704536655  0.0527240124 -0.119477376 -0.0261656629
## [27,] -0.162042523  0.1698330191  0.0295808702  0.114886328 -0.0339346626
## [28,] -0.075020464  0.2209179689  0.0317959642 -0.163446538  0.0478911024
## [29,] -0.491409744  0.0485530391  0.4708430955  0.091370645 -0.0341680211
## [30,] -0.153849917 -0.0313637615 -0.0648559287 -0.090678066  0.0152990994
## [31,] -0.567959423 -0.2698189834 -0.1678229307  0.053420497 -0.0083406669
## [32,] -0.123961578 -0.0797556672 -0.1100484173  0.017761454 -0.0242236984
## [33,] -0.151203538 -0.0117605327 -0.1272156190 -0.143883164 -0.0223878865
## [34,] -0.192732807  0.0072094846  0.0407100818 -0.041772403 -0.0536871253
## [35,] -0.038180545 -0.3938738675  0.2036376622 -0.144791551 -0.0030610118
## [36,]  0.043562012  0.2310023633  0.0356958223  0.003459077  0.0926405910
## [37,] -0.787193668  0.0569856141 -0.0280663956 -0.044455328  0.0267964085
## [38,] -0.221608647  0.0879343205 -0.0028294728 -0.075325891 -0.0343729848
## [39,] -0.142505052 -0.0039942270 -0.0841615821  0.052072847  0.0224417971
## [40,]  0.019860975  0.3342314302 -0.0297077072 -0.072321682  0.0024253828
## [41,] -0.095273344  0.1271256359  0.0331504485 -0.053102123  0.0593131314
## [42,] -0.070391931  0.2319137358 -0.0020522855  0.174579370  0.1037412038
## [43,]  0.240892868 -0.0271259742  0.0051975157 -0.029341583  0.1134147622
## [44,]  0.101822753 -0.1724203952  0.0980019669 -0.045617641  0.0468867578
## [45,] -0.012795716 -0.0230449987  0.0363409614 -0.033487113  0.0715860579
## [46,] -0.476466302 -0.0234027357 -0.0080579056  0.242020903  0.0340281832
## [47,]  0.226227443  0.0408010720  0.1284281384 -0.022631411 -0.0044702135
## [48,]  0.339481925  0.2619023600  0.1327244407  0.016915567 -0.0176025405
## [49,]  0.144283913  0.1565152302  0.0265243261  0.197493497 -0.0254534956
## [50,] -0.358378268  0.0292549432 -0.2505186995  0.098524975  0.0564363273
## [51,] -0.077539560  0.1715608624 -0.1179470742  0.003221045 -0.0670624076
## [52,]  0.210336060  0.1397675531  0.0509557095 -0.038684495 -0.0270053374
## [53,] -0.011126839  0.0764175825 -0.1920470201  0.006084532 -0.0926195685
## [54,]  0.263231254  0.0496380501 -0.0597324157  0.036173932 -0.0560198457
## [55,]  0.421395463  0.1408085038  0.2055676432 -0.038597759 -0.0784213241
## [56,] -0.094835131  0.0812874647 -0.0563849401  0.020006617 -0.0048665818
## [57,] -0.383665803 -0.0578452961  0.1696716064  0.074260601 -0.0432076093
## [58,] -0.441466261 -0.0613787113 -0.1539989658 -0.065255866  0.0278573496
## [59,] -0.189428382  0.1497038707 -0.2078326407 -0.106146127  0.0773570187
## [60,] -0.156978919  0.1557489074 -0.0382724973 -0.105221216  0.0098103108
## [61,] -0.308929192 -0.0971523058  0.6378365120 -0.008541585 -0.0050706088
## [62,]  0.160925859 -0.2570730723  0.0278057931  0.053062061 -0.0060439997
## [63,] -0.059997340 -0.0996982187 -0.1449966835 -0.057233556 -0.0100690014
## [64,]  0.509543006 -0.2657429780 -0.1161269557 -0.090145613  0.0294046041
## [65,]  0.348222675 -0.0924583291 -0.0512657131  0.032403328 -0.0374172461
## [66,]  0.227528758 -0.2777803947 -0.0721264208  0.044847992 -0.0158427320
## [67,] -0.061345822  0.2172104100  0.0661539677  0.087982892  0.0516098348
## [68,]  0.201046407  0.0565235350 -0.0757027673 -0.044098189 -0.0611314472
## [69,] -0.119650549 -0.1238535925  0.0380857171 -0.118052712  0.0375581942
## [70,]  0.191176970 -0.2156913519 -0.0935527752  0.134574477 -0.0203365565
## [71,]  0.378915925  0.0363487410 -0.0834808754  0.020240442 -0.0025100109
## [72,] -0.063360000 -0.2085936810  0.1251897005  0.053983586  0.0143600442
## [73,]  0.319787821  0.2484753296 -0.0253162282 -0.063959393  0.0124918408
## [74,]  0.115893663  0.1726850432  0.0494847699  0.203207167  0.0153153100
## [75,] -0.386350893 -0.0519192539  0.0078030089 -0.192407820 -0.0252177579

Gráfico

Consultoria Estatística

Universidade Estadual da Paraíba - UEPB

Professor: Ricardo Alves de Olinda

Alunos:

Giullber Valentim da Silva

José Lucas Costa de Oliveira

Samuel Souza Alves de Araújo

Descrição

Análise Descritiva

Análise Fatorial

Primeiro Ajuste

Segundo Ajuste

Retirando a variavel X6 do modelo

Terceiro Ajuste

Retirando a variavel X3 do modelo

Quarto Ajuste

Retirando a variavel X7 do modelo

Quinto Ajuste

Retirando a variavel X8 do modelo

Sexto Ajuste

Retirando a variavel X14 do modelo

Sétimo Ajuste

Retirando a variavel X17 do modelo

Análise de Componentes Principais