Base 2

ADF

## 
##  Augmented Dickey-Fuller Test
## 
## data:  IPC_2010
## Dickey-Fuller = -1.1924, Lag order = 5, p-value = 0.9048
## alternative hypothesis: stationary
## 
##  Augmented Dickey-Fuller Test
## 
## data:  IPI_2010
## Dickey-Fuller = -4.8553, Lag order = 5, p-value = 0.01
## alternative hypothesis: stationary
## 
##  Augmented Dickey-Fuller Test
## 
## data:  TD
## Dickey-Fuller = -2.1943, Lag order = 5, p-value = 0.4955
## alternative hypothesis: stationary
## 
##  Augmented Dickey-Fuller Test
## 
## data:  M2
## Dickey-Fuller = -2.1147, Lag order = 5, p-value = 0.5287
## alternative hypothesis: stationary
## 
##  Augmented Dickey-Fuller Test
## 
## data:  TI_pm
## Dickey-Fuller = -3.3123, Lag order = 5, p-value = 0.07201
## alternative hypothesis: stationary
## 
##  Augmented Dickey-Fuller Test
## 
## data:  COLCAP
## Dickey-Fuller = -2.0324, Lag order = 5, p-value = 0.563
## alternative hypothesis: stationary

ADF AUMENTADA

ADF Aumenentada IPC 2010

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression none 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.97768 -0.17366 -0.02479  0.14343  0.96964 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## z.lag.1    0.0010482  0.0002776   3.776 0.000235 ***
## z.diff.lag 0.6529098  0.0613818  10.637  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.2697 on 139 degrees of freedom
## Multiple R-squared:  0.7314, Adjusted R-squared:  0.7275 
## F-statistic: 189.2 on 2 and 139 DF,  p-value: < 2.2e-16
## 
## 
## Value of test-statistic is: 3.7765 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau1 -2.58 -1.95 -1.62

ADF Aumenentada IPC 2010 con termino constante o con deriva

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression drift 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.93135 -0.13456 -0.01184  0.14002  0.73683 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  -0.105548   0.183518  -0.575   0.5663    
## z.lag.1       0.001723   0.001739   0.990   0.3240    
## z.diff.lag1   0.656963   0.092656   7.090 1.13e-10 ***
## z.diff.lag2  -0.147948   0.107972  -1.370   0.1733    
## z.diff.lag3  -0.102252   0.108920  -0.939   0.3498    
## z.diff.lag4   0.175047   0.109003   1.606   0.1110    
## z.diff.lag5  -0.171807   0.108694  -1.581   0.1167    
## z.diff.lag6  -0.009047   0.109428  -0.083   0.9343    
## z.diff.lag7  -0.009721   0.109779  -0.089   0.9296    
## z.diff.lag8   0.020878   0.109293   0.191   0.8488    
## z.diff.lag9  -0.010739   0.107056  -0.100   0.9203    
## z.diff.lag10 -0.055165   0.106642  -0.517   0.6059    
## z.diff.lag11  0.268219   0.106001   2.530   0.0127 *  
## z.diff.lag12  0.104728   0.088053   1.189   0.2367    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.2419 on 116 degrees of freedom
## Multiple R-squared:  0.6143, Adjusted R-squared:  0.5711 
## F-statistic: 14.21 on 13 and 116 DF,  p-value: < 2.2e-16
## 
## 
## Value of test-statistic is: 0.9904 1.4078 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau2 -3.46 -2.88 -2.57
## phi1  6.52  4.63  3.81

ADF Aumenentada IPC 2010 con tendencia

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression trend 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.94818 -0.17285 -0.02898  0.14540  0.92657 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  1.488958   0.732381   2.033   0.0440 *  
## z.lag.1     -0.015749   0.008147  -1.933   0.0553 .  
## tt           0.006365   0.003014   2.112   0.0365 *  
## z.diff.lag   0.661019   0.060969  10.842   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.2674 on 137 degrees of freedom
## Multiple R-squared:  0.4766, Adjusted R-squared:  0.4652 
## F-statistic: 41.59 on 3 and 137 DF,  p-value: < 2.2e-16
## 
## 
## Value of test-statistic is: -1.9331 6.3263 2.5243 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau3 -3.99 -3.43 -3.13
## phi2  6.22  4.75  4.07
## phi3  8.43  6.49  5.47

ADF Aumenentada IPI_2010

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression none 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -16.6015  -5.0283   0.5055   5.8504  20.4282 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## z.lag.1     0.0003478  0.0052579   0.066    0.947    
## z.diff.lag -0.3494830  0.0788865  -4.430 1.89e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 7.728 on 139 degrees of freedom
## Multiple R-squared:  0.124,  Adjusted R-squared:  0.1113 
## F-statistic: 9.834 on 2 and 139 DF,  p-value: 0.0001013
## 
## 
## Value of test-statistic is: 0.0661 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau1 -2.58 -1.95 -1.62

ADF Aumenentada IPI_2010 con termino constante o con deriva

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression drift 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -14.5483  -2.2635   0.0262   2.5736  15.0627 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  -1.02481    7.57936  -0.135 0.892680    
## z.lag.1       0.01679    0.06159   0.273 0.785674    
## z.diff.lag1  -0.70227    0.11148  -6.299 5.55e-09 ***
## z.diff.lag2  -0.61493    0.11888  -5.173 9.77e-07 ***
## z.diff.lag3  -0.60241    0.11719  -5.141 1.12e-06 ***
## z.diff.lag4  -0.57507    0.11782  -4.881 3.40e-06 ***
## z.diff.lag5  -0.46163    0.11992  -3.849 0.000194 ***
## z.diff.lag6  -0.50396    0.11816  -4.265 4.10e-05 ***
## z.diff.lag7  -0.47079    0.11630  -4.048 9.36e-05 ***
## z.diff.lag8  -0.46189    0.11559  -3.996 0.000114 ***
## z.diff.lag9  -0.52072    0.10907  -4.774 5.31e-06 ***
## z.diff.lag10 -0.60827    0.10564  -5.758 7.11e-08 ***
## z.diff.lag11 -0.44205    0.10556  -4.188 5.51e-05 ***
## z.diff.lag12  0.23905    0.09095   2.628 0.009743 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 4.7 on 116 degrees of freedom
## Multiple R-squared:  0.7062, Adjusted R-squared:  0.6732 
## F-statistic: 21.45 on 13 and 116 DF,  p-value: < 2.2e-16
## 
## 
## Value of test-statistic is: 0.2726 2.8925 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau2 -3.46 -2.88 -2.57
## phi1  6.52  4.63  3.81

ADF Aumenentada IPI_2010 con tendencia

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression trend 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -17.8637  -3.6492   0.0789   4.6410  16.9620 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 88.97615   11.73968   7.579 4.72e-12 ***
## z.lag.1     -0.79992    0.10484  -7.630 3.58e-12 ***
## tt           0.13953    0.02215   6.301 3.77e-09 ***
## z.diff.lag   0.05132    0.08473   0.606    0.546    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6.516 on 137 degrees of freedom
## Multiple R-squared:  0.386,  Adjusted R-squared:  0.3725 
## F-statistic: 28.71 on 3 and 137 DF,  p-value: 1.824e-14
## 
## 
## Value of test-statistic is: -7.6296 19.5071 29.1886 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau3 -3.99 -3.43 -3.13
## phi2  6.22  4.75  4.07
## phi3  8.43  6.49  5.47

ADF Aumenentada TD

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression none 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -1.9903 -0.6258 -0.2127  0.4146  3.6934 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)
## z.lag.1    -0.007215   0.008960  -0.805    0.422
## z.diff.lag -0.127845   0.083733  -1.527    0.129
## 
## Residual standard error: 1.098 on 139 degrees of freedom
## Multiple R-squared:  0.02152,    Adjusted R-squared:  0.007442 
## F-statistic: 1.529 on 2 and 139 DF,  p-value: 0.2205
## 
## 
## Value of test-statistic is: -0.8052 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau1 -2.58 -1.95 -1.62

ADF Aumenentada TD con termino constante o con deriva

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression drift 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.31298 -0.32129 -0.01837  0.31157  1.45386 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   0.53379    0.43500   1.227 0.222261    
## z.lag.1      -0.05538    0.04257  -1.301 0.195847    
## z.diff.lag1  -0.25664    0.08104  -3.167 0.001970 ** 
## z.diff.lag2  -0.27317    0.08159  -3.348 0.001097 ** 
## z.diff.lag3  -0.28993    0.08048  -3.603 0.000465 ***
## z.diff.lag4  -0.20368    0.08198  -2.484 0.014404 *  
## z.diff.lag5  -0.31329    0.07946  -3.943 0.000138 ***
## z.diff.lag6  -0.19395    0.08175  -2.372 0.019316 *  
## z.diff.lag7  -0.23074    0.08127  -2.839 0.005342 ** 
## z.diff.lag8  -0.26473    0.07816  -3.387 0.000965 ***
## z.diff.lag9  -0.22089    0.07875  -2.805 0.005904 ** 
## z.diff.lag10 -0.31066    0.07513  -4.135 6.74e-05 ***
## z.diff.lag11 -0.20789    0.07715  -2.694 0.008097 ** 
## z.diff.lag12  0.56446    0.07401   7.626 7.30e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.5109 on 116 degrees of freedom
## Multiple R-squared:  0.8035, Adjusted R-squared:  0.7815 
## F-statistic:  36.5 on 13 and 116 DF,  p-value: < 2.2e-16
## 
## 
## Value of test-statistic is: -1.301 1.0545 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau2 -3.46 -2.88 -2.57
## phi1  6.52  4.63  3.81

ADF Aumenentada TD con tendencia

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression trend 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -1.7360 -0.6600 -0.1818  0.3484  3.4051 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  5.276448   0.916248   5.759 5.33e-08 ***
## z.lag.1     -0.459001   0.077640  -5.912 2.56e-08 ***
## tt          -0.008359   0.002521  -3.316  0.00117 ** 
## z.diff.lag   0.096989   0.084706   1.145  0.25420    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.9888 on 137 degrees of freedom
## Multiple R-squared:  0.217,  Adjusted R-squared:  0.1998 
## F-statistic: 12.65 on 3 and 137 DF,  p-value: 2.372e-07
## 
## 
## Value of test-statistic is: -5.9119 11.6835 17.4892 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau3 -3.99 -3.43 -3.13
## phi2  6.22  4.75  4.07
## phi3  8.43  6.49  5.47

ADF Aumenentada M2

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression none 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -10952.4  -2312.0    391.2   2974.1  10793.8 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## z.lag.1     0.009111   0.001231   7.400 1.18e-11 ***
## z.diff.lag -0.204828   0.085161  -2.405   0.0175 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 4018 on 139 degrees of freedom
## Multiple R-squared:  0.2921, Adjusted R-squared:  0.282 
## F-statistic: 28.68 on 2 and 139 DF,  p-value: 3.728e-11
## 
## 
## Value of test-statistic is: 7.3997 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau1 -2.58 -1.95 -1.62

ADF Aumenentada M2 con termino constante o con deriva

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression drift 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -6265.1 -2151.6  -129.1  1766.5  7539.8 
## 
## Coefficients:
##                Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  823.273347 992.020026   0.830    0.408    
## z.lag.1        0.001728   0.002624   0.659    0.512    
## z.diff.lag1   -0.095112   0.073251  -1.298    0.197    
## z.diff.lag2   -0.069318   0.072805  -0.952    0.343    
## z.diff.lag3    0.077352   0.072828   1.062    0.290    
## z.diff.lag4    0.044745   0.072734   0.615    0.540    
## z.diff.lag5    0.049448   0.072530   0.682    0.497    
## z.diff.lag6    0.011246   0.071949   0.156    0.876    
## z.diff.lag7   -0.088282   0.071979  -1.227    0.222    
## z.diff.lag8    0.090963   0.072347   1.257    0.211    
## z.diff.lag9   -0.051624   0.072680  -0.710    0.479    
## z.diff.lag10  -0.083656   0.072511  -1.154    0.251    
## z.diff.lag11  -0.072043   0.073684  -0.978    0.330    
## z.diff.lag12   0.665543   0.074440   8.941 7.15e-15 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2898 on 116 degrees of freedom
## Multiple R-squared:  0.5582, Adjusted R-squared:  0.5087 
## F-statistic: 11.28 on 13 and 116 DF,  p-value: 2.69e-15
## 
## 
## Value of test-statistic is: 0.6585 1.4815 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau2 -3.46 -2.88 -2.57
## phi1  6.52  4.63  3.81

ADF Aumenentada M2 con tendencia

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression trend 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -10256.3  -2668.6    214.8   2231.0   9666.0 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)   
## (Intercept)  1.048e+04  3.489e+03   3.003  0.00318 **
## z.lag.1     -7.197e-02  2.996e-02  -2.402  0.01764 * 
## tt           1.973e+02  7.815e+01   2.525  0.01271 * 
## z.diff.lag  -1.997e-01  8.406e-02  -2.375  0.01891 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3900 on 137 degrees of freedom
## Multiple R-squared:  0.09576,    Adjusted R-squared:  0.07596 
## F-statistic: 4.836 on 3 and 137 DF,  p-value: 0.003132
## 
## 
## Value of test-statistic is: -2.4022 22.8863 3.7466 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau3 -3.99 -3.43 -3.13
## phi2  6.22  4.75  4.07
## phi3  8.43  6.49  5.47

ADF Aumenentada TI_pm

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression none 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.44347 -0.04613  0.03204  0.07538  0.68081 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## z.lag.1    -0.007538   0.003948  -1.909   0.0583 .  
## z.diff.lag  0.416183   0.075822   5.489 1.86e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.2525 on 139 degrees of freedom
## Multiple R-squared:  0.2122, Adjusted R-squared:  0.2009 
## F-statistic: 18.72 on 2 and 139 DF,  p-value: 6.31e-08
## 
## 
## Value of test-statistic is: -1.9095 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau1 -2.58 -1.95 -1.62

ADF Aumenentada TI_pm con termino constante o con deriva

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression drift 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.95702 -0.08321 -0.00591  0.08685  0.80261 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)   0.35603    0.08262   4.309 3.45e-05 ***
## z.lag.1      -0.07629    0.01673  -4.561 1.27e-05 ***
## z.diff.lag1   0.08568    0.08685   0.987 0.325931    
## z.diff.lag2   0.34681    0.08573   4.045 9.45e-05 ***
## z.diff.lag3   0.35892    0.09102   3.943 0.000138 ***
## z.diff.lag4  -0.02986    0.09531  -0.313 0.754619    
## z.diff.lag5  -0.13282    0.09534  -1.393 0.166228    
## z.diff.lag6   0.13364    0.09610   1.391 0.167031    
## z.diff.lag7   0.05428    0.09633   0.563 0.574241    
## z.diff.lag8   0.03948    0.09487   0.416 0.678056    
## z.diff.lag9  -0.15234    0.09422  -1.617 0.108599    
## z.diff.lag10 -0.06608    0.09036  -0.731 0.466107    
## z.diff.lag11  0.14202    0.08444   1.682 0.095276 .  
## z.diff.lag12  0.11445    0.08494   1.347 0.180479    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.209 on 116 degrees of freedom
## Multiple R-squared:  0.5278, Adjusted R-squared:  0.4749 
## F-statistic: 9.973 on 13 and 116 DF,  p-value: 9.553e-14
## 
## 
## Value of test-statistic is: -4.5607 10.5616 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau2 -3.46 -2.88 -2.57
## phi1  6.52  4.63  3.81

ADF Aumenentada TI_pm con tendencia

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression trend 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.38757 -0.04680 -0.01284  0.14014  0.72289 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  0.0750390  0.0786461   0.954   0.3417    
## z.lag.1     -0.0259852  0.0112411  -2.312   0.0223 *  
## tt           0.0004635  0.0005360   0.865   0.3887    
## z.diff.lag   0.4066580  0.0759151   5.357 3.49e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.25 on 137 degrees of freedom
## Multiple R-squared:  0.2238, Adjusted R-squared:  0.2068 
## F-statistic: 13.17 on 3 and 137 DF,  p-value: 1.322e-07
## 
## 
## Value of test-statistic is: -2.3116 2.8216 3.6382 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau3 -3.99 -3.43 -3.13
## phi2  6.22  4.75  4.07
## phi3  8.43  6.49  5.47

ADF Aumenentada COLCAP

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression none 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 - 1 + z.diff.lag)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -188.94  -29.55    4.81   38.92  101.21 
## 
## Coefficients:
##            Estimate Std. Error t value Pr(>|t|)    
## z.lag.1    0.001184   0.002965   0.399 0.690278    
## z.diff.lag 0.301252   0.081164   3.712 0.000297 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 51.58 on 139 degrees of freedom
## Multiple R-squared:  0.09355,    Adjusted R-squared:  0.08051 
## F-statistic: 7.173 on 2 and 139 DF,  p-value: 0.001085
## 
## 
## Value of test-statistic is: 0.3993 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau1 -2.58 -1.95 -1.62

ADF Aumenentada COLCAP con termino constante o con deriva

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression drift 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + z.diff.lag)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -110.58  -34.56    3.39   30.73  106.27 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  94.367810  29.599862   3.188  0.00184 ** 
## z.lag.1      -0.061219   0.019775  -3.096  0.00246 ** 
## z.diff.lag1   0.425457   0.089425   4.758 5.69e-06 ***
## z.diff.lag2  -0.128571   0.096998  -1.326  0.18761    
## z.diff.lag3   0.163791   0.098147   1.669  0.09785 .  
## z.diff.lag4  -0.266627   0.095869  -2.781  0.00632 ** 
## z.diff.lag5   0.221873   0.098217   2.259  0.02575 *  
## z.diff.lag6  -0.096558   0.100209  -0.964  0.33727    
## z.diff.lag7   0.024254   0.100376   0.242  0.80949    
## z.diff.lag8   0.107855   0.099052   1.089  0.27847    
## z.diff.lag9   0.008525   0.095439   0.089  0.92898    
## z.diff.lag10  0.056697   0.093760   0.605  0.54656    
## z.diff.lag11  0.016789   0.092081   0.182  0.85564    
## z.diff.lag12  0.051759   0.085658   0.604  0.54686    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 46.56 on 116 degrees of freedom
## Multiple R-squared:  0.2823, Adjusted R-squared:  0.2019 
## F-statistic:  3.51 on 13 and 116 DF,  p-value: 0.0001268
## 
## 
## Value of test-statistic is: -3.0958 5.1714 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau2 -3.46 -2.88 -2.57
## phi1  6.52  4.63  3.81

ADF Aumenentada COLCAP con tendencia

## 
## ############################################### 
## # Augmented Dickey-Fuller Test Unit Root Test # 
## ############################################### 
## 
## Test regression trend 
## 
## 
## Call:
## lm(formula = z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -208.311  -31.374    4.086   35.345  104.891 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 56.089040  24.250267   2.313 0.022216 *  
## z.lag.1     -0.035947   0.017183  -2.092 0.038290 *  
## tt          -0.007853   0.110406  -0.071 0.943401    
## z.diff.lag   0.304889   0.080626   3.782 0.000232 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 50.97 on 137 degrees of freedom
## Multiple R-squared:  0.1203, Adjusted R-squared:  0.101 
## F-statistic: 6.243 on 3 and 137 DF,  p-value: 0.0005275
## 
## 
## Value of test-statistic is: -2.0919 1.8377 2.4295 
## 
## Critical values for test statistics: 
##       1pct  5pct 10pct
## tau3 -3.99 -3.43 -3.13
## phi2  6.22  4.75  4.07
## phi3  8.43  6.49  5.47