Librerias

library(magrittr)
library(dplyr)
library(car)
library(lmtest)
library(tseries)

Carga de base de datos

library(readxl)
DTX <- read_excel("C:/Users/Mayller Perez/Desktop/UNF6/UNF 9/ECONOMETRIA/DTX.xlsx")
DTX
## # A tibble: 753 × 23
##      AGE  CITY  EDUC EXPER EXPERSQ FAMINC FATHEDUC HOURS HUSAGE HUSEDUC HUSHRS
##    <dbl> <dbl> <dbl> <dbl>   <dbl>  <dbl>    <dbl> <dbl>  <dbl>   <dbl>  <dbl>
##  1    32     0    12    14     196  16310        7  1610     34      12   2708
##  2    30     1    12     5      25  21800        7  1656     30       9   2310
##  3    35     0    12    15     225  21040        7  1980     40      12   3072
##  4    34     0    12     6      36   7300        7   456     53      10   1920
##  5    31     1    14     7      49  27300       14  1568     32      12   2000
##  6    54     1    12    33    1089  19495        7  2032     57      11   1040
##  7    37     0    16    11     121  21152        7  1440     37      12   2670
##  8    54     0    12    35    1225  18900        3  1020     53       8   4120
##  9    48     0    12    24     576  20405        7  1458     52       4   1995
## 10    39     0    12    21     441  20425        7  1600     43      12   2100
## # ℹ 743 more rows
## # ℹ 12 more variables: HUSWAGE <dbl>, INLF <dbl>, INLFF <dbl>, KIDSGE6 <dbl>,
## #   KIDSLT6 <dbl>, LWAGE <dbl>, MOTHEDUC <dbl>, MTR <dbl>, NWIFEINC <dbl>,
## #   REPWAGE <dbl>, UNEM <dbl>, WAGE <dbl>

Descripción de la base de datos

attach(DTX)
glimpse(DTX)
## Rows: 753
## Columns: 23
## $ AGE      <dbl> 32, 30, 35, 34, 31, 54, 37, 54, 48, 39, 33, 42, 30, 43, 43, 3…
## $ CITY     <dbl> 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0…
## $ EDUC     <dbl> 12, 12, 12, 12, 14, 12, 16, 12, 12, 12, 12, 11, 12, 12, 10, 1…
## $ EXPER    <dbl> 14, 5, 15, 6, 7, 33, 11, 35, 24, 21, 15, 14, 0, 14, 6, 9, 20,…
## $ EXPERSQ  <dbl> 196, 25, 225, 36, 49, 1089, 121, 1225, 576, 441, 225, 196, 0,…
## $ FAMINC   <dbl> 16310, 21800, 21040, 7300, 27300, 19495, 21152, 18900, 20405,…
## $ FATHEDUC <dbl> 7, 7, 7, 7, 14, 7, 7, 3, 7, 7, 3, 7, 16, 10, 7, 10, 7, 12, 7,…
## $ HOURS    <dbl> 1610, 1656, 1980, 456, 1568, 2032, 1440, 1020, 1458, 1600, 19…
## $ HUSAGE   <dbl> 34, 30, 40, 53, 32, 57, 37, 53, 52, 43, 34, 47, 33, 46, 45, 3…
## $ HUSEDUC  <dbl> 12, 9, 12, 10, 12, 11, 12, 8, 4, 12, 12, 14, 16, 12, 17, 12, …
## $ HUSHRS   <dbl> 2708, 2310, 3072, 1920, 2000, 1040, 2670, 4120, 1995, 2100, 2…
## $ HUSWAGE  <dbl> 4.0288, 8.4416, 3.5807, 3.5417, 10.0000, 6.7106, 3.4277, 2.54…
## $ INLF     <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
## $ INLFF    <dbl> 0.6636123, 0.7009166, 0.6727286, 0.7257441, 0.5616358, 0.7928…
## $ KIDSGE6  <dbl> 0, 2, 3, 3, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 3, 2, 5, 0, 4, 2…
## $ KIDSLT6  <dbl> 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0…
## $ LWAGE    <dbl> 1.21015370, 0.32851210, 1.51413774, 0.09212332, 1.52427220, 1…
## $ MOTHEDUC <dbl> 12, 7, 12, 7, 12, 14, 14, 3, 7, 7, 12, 14, 16, 10, 7, 16, 10,…
## $ MTR      <dbl> 0.7215, 0.6615, 0.6915, 0.7815, 0.6215, 0.6915, 0.6915, 0.691…
## $ NWIFEINC <dbl> 10.910060, 19.499980, 12.039910, 6.799996, 20.100058, 9.85905…
## $ REPWAGE  <dbl> 2.65, 2.65, 4.04, 3.25, 3.60, 4.70, 5.95, 9.98, 0.00, 4.15, 4…
## $ UNEM     <dbl> 5.0, 11.0, 5.0, 5.0, 9.5, 7.5, 5.0, 5.0, 3.0, 5.0, 5.0, 5.0, …
## $ WAGE     <dbl> 3.3540, 1.3889, 4.5455, 1.0965, 4.5918, 4.7421, 8.3333, 7.843…

3.2 Estimación del Modelo de Probabilidad Lineal

model_01 <- lm(INLF ~ NWIFEINC+ EDUC+ EXPER+ I(EXPER^2)+ AGE+ KIDSLT6+ KIDSGE6, data= DTX)
summary(model_01)
## 
## Call:
## lm(formula = INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + AGE + 
##     KIDSLT6 + KIDSGE6, data = DTX)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.93432 -0.37526  0.08833  0.34404  0.99417 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  0.5855192  0.1541780   3.798 0.000158 ***
## NWIFEINC    -0.0034052  0.0014485  -2.351 0.018991 *  
## EDUC         0.0379953  0.0073760   5.151 3.32e-07 ***
## EXPER        0.0394924  0.0056727   6.962 7.38e-12 ***
## I(EXPER^2)  -0.0005963  0.0001848  -3.227 0.001306 ** 
## AGE         -0.0160908  0.0024847  -6.476 1.71e-10 ***
## KIDSLT6     -0.2618105  0.0335058  -7.814 1.89e-14 ***
## KIDSGE6      0.0130122  0.0131960   0.986 0.324415    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.4271 on 745 degrees of freedom
## Multiple R-squared:  0.2642, Adjusted R-squared:  0.2573 
## F-statistic: 38.22 on 7 and 745 DF,  p-value: < 2.2e-16

Calculo las probabilidades predichas

pmpl <- predict(model_01, type= "response") 
plot(pmpl, ylab= "Valores Predichos")
abline(h= 0, col= "red")
abline(h=1, col= "red")

Se observa que las probabilidades estimadas exceden el rango teórico de los valores binarios [0,1], lo que evidencia una limitación del modelo. En particular, el modelo no logra representar adecuadamente el comportamiento de las mujeres ni interpretar de forma consistente las probabilidades asociadas a su participación en el mercado laboral.

Observaciones que superan valores binarios

pmpl <-  as.data.frame(pmpl)
pmpl %>% filter(pmpl < 0 | pmpl > 1)
##             pmpl
## 26   1.038794494
## 35   1.082995379
## 40   1.051385788
## 78   1.018047165
## 142  1.014867288
## 143  1.035768808
## 150  1.033742713
## 158  1.049001043
## 163  1.072299986
## 167  1.024547068
## 280  1.037039738
## 300  1.127150535
## 304  1.001785732
## 332  1.016913659
## 345  1.035426409
## 392  1.036876856
## 398  1.002709062
## 484 -0.329286062
## 485 -0.003253122
## 487 -0.028129715
## 514 -0.037761684
## 531 -0.345110267
## 562 -0.114702093
## 586 -0.163268978
## 593 -0.025559153
## 596 -0.152886466
## 605 -0.159633260
## 621 -0.012844175
## 640 -0.013146299
## 650 -0.085643778
## 677 -0.172159973
## 689 -0.102660570
## 715 -0.120588118
head(pmpl %>% filter(pmpl < 0 | pmpl > 1), n= 10)
##         pmpl
## 26  1.038794
## 35  1.082995
## 40  1.051386
## 78  1.018047
## 142 1.014867
## 143 1.035769
## 150 1.033743
## 158 1.049001
## 163 1.072300
## 167 1.024547

Las observaciones que superan los valores binarios son 33

p <-  pmpl %>% filter(pmpl < 0 | pmpl > 1)
p %>% mutate(d= 1) %>% summarise( sum(d))
##   sum(d)
## 1     33

Grafique las probabilidades estimadas

plot(pmpl$pmpl, DTX$INLF, ylab = "Linea de predicción y estimado", xlab= "Participación del Mercado Laboral", type = "p", pch= 16)
abline(lm(DTX$INLF ~ pmpl$pmpl), col= "red", lwd= 2, lty =2)

Contraste heterocedasticidad

Prueba gráfica

Se tiene como media de los errores:

mean(residuals(model_01))
## [1] 1.098275e-16

En la figura se observa que los errores se distribuyen de manera desigual alrededor de cero, lo que sugiere la presencia de indicios de heterocedasticidad.

plot(residuals(model_01), type = "l", ylab = "residuos")
abline(h= 0, col= "red")
legend("bottomleft", legend = c("media= 1.098275e-16"), cex = 0.8, bty = "n")

Prueba Breusch-Pagan (BP)

Hay evidencia estadísticamente significativa de heterocedasticidad en el modelo. Al

bptest(model_01)
## 
##  studentized Breusch-Pagan test
## 
## data:  model_01
## BP = 24.224, df = 7, p-value = 0.00104

Contraste normalidad de residuos

Gráfica

hist(residuals(model_01), freq = FALSE, main= " ", xlab = "Residuos", ylab = "Densidad")
curve(dnorm(x,mean= mean(residuals(model_01)), sd= sd(residuals(model_01))), add = TRUE, col= "red", lwd= 2)

Estadístico Jarque-Bera

jarque.bera.test(model_01$residuals)
## 
##  Jarque Bera Test
## 
## data:  model_01$residuals
## X-squared = 36.741, df = 2, p-value = 1.051e-08

3.3. Estimación del Modelo Probit

model_02 <- glm(INLF ~ NWIFEINC+ EDUC+ EXPER+ I(EXPER^2)+ AGE+ KIDSLT6+ KIDSGE6, family = binomial(link = "probit"))
summary(model_02)
## 
## Call:
## glm(formula = INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + AGE + 
##     KIDSLT6 + KIDSGE6, family = binomial(link = "probit"))
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  0.2700736  0.5080782   0.532  0.59503    
## NWIFEINC    -0.0120236  0.0049392  -2.434  0.01492 *  
## EDUC         0.1309040  0.0253987   5.154 2.55e-07 ***
## EXPER        0.1233472  0.0187587   6.575 4.85e-11 ***
## I(EXPER^2)  -0.0018871  0.0005999  -3.145  0.00166 ** 
## AGE         -0.0528524  0.0084624  -6.246 4.22e-10 ***
## KIDSLT6     -0.8683247  0.1183773  -7.335 2.21e-13 ***
## KIDSGE6      0.0360056  0.0440303   0.818  0.41350    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 1029.7  on 752  degrees of freedom
## Residual deviance:  802.6  on 745  degrees of freedom
## AIC: 818.6
## 
## Number of Fisher Scoring iterations: 4

Analice la significancia global mediante razón de verosimilitud

Modelo restringido

modelo_null <- glm(INLF ~ 1, family = binomial(link = "probit"), data = DTX)
anova(modelo_null, model_02, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: INLF ~ 1
## Model 2: INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + AGE + KIDSLT6 + 
##     KIDSGE6
##   Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
## 1       752     1029.8                          
## 2       745      802.6  7   227.14 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

log-likelihood

Modelo completo

logLik(model_02)
## 'log Lik.' -401.3022 (df=8)

Modelo restringido

logLik(modelo_null)
## 'log Lik.' -514.8732 (df=1)

Pseudo R2 de McFadden

library(pscl)
pR2(model_02)
## fitting null model for pseudo-r2
##          llh      llhNull           G2     McFadden         r2ML         r2CU 
## -401.3021931 -514.8732046  227.1420229    0.2205805    0.2604027    0.3494103

Calcule AIC y BIC

AIC y BIC - modelo completo

AIC(model_02)
## [1] 818.6044
BIC(model_02)
## [1] 855.5969

AIC y BIC - modelo restringido

AIC(modelo_null)
## [1] 1031.746
BIC(modelo_null)
## [1] 1036.37

Obtenga las probabilidades predichas

Probabilidades predichas

pprobit <- predict(model_02, type= "response") 
pprobit <- as.data.frame(pprobit)
pprobit
##         pprobit
## 1   0.693969922
## 2   0.746161015
## 3   0.695545613
## 4   0.771060201
## 5   0.578195028
## 6   0.811594602
## 7   0.933121631
## 8   0.805470330
## 9   0.851138180
## 10  0.927078882
## 11  0.897286372
## 12  0.740973293
## 13  0.235356281
## 14  0.794383987
## 15  0.389147852
## 16  0.762597822
## 17  0.881567834
## 18  0.670541979
## 19  0.871131112
## 20  0.833611935
## 21  0.696342413
## 22  0.900876125
## 23  0.797742838
## 24  0.780307662
## 25  0.395072242
## 26  0.957650119
## 27  0.705587431
## 28  0.843879361
## 29  0.718400670
## 30  0.580554263
## 31  0.846277754
## 32  0.568804234
## 33  0.928960555
## 34  0.630373468
## 35  0.967676491
## 36  0.259632433
## 37  0.798749936
## 38  0.846441004
## 39  0.865455278
## 40  0.966220163
## 41  0.272260042
## 42  0.468439732
## 43  0.629834359
## 44  0.571572700
## 45  0.806650536
## 46  0.698128925
## 47  0.754914611
## 48  0.880399495
## 49  0.668479210
## 50  0.822031210
## 51  0.627685604
## 52  0.731016146
## 53  0.919775478
## 54  0.502510595
## 55  0.772453573
## 56  0.937372867
## 57  0.843263989
## 58  0.932298476
## 59  0.833542369
## 60  0.646132242
## 61  0.921661935
## 62  0.717725849
## 63  0.413957596
## 64  0.739067962
## 65  0.827122893
## 66  0.682147530
## 67  0.900433179
## 68  0.837947071
## 69  0.685861693
## 70  0.799099202
## 71  0.877410420
## 72  0.522144762
## 73  0.589681245
## 74  0.210509697
## 75  0.922988988
## 76  0.808996119
## 77  0.596064079
## 78  0.953096564
## 79  0.370959139
## 80  0.173266347
## 81  0.527054099
## 82  0.784519952
## 83  0.526434954
## 84  0.314958795
## 85  0.763350148
## 86  0.921548281
## 87  0.764895980
## 88  0.733858135
## 89  0.561333127
## 90  0.555693792
## 91  0.804717178
## 92  0.236730564
## 93  0.641533594
## 94  0.383265863
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## 751 0.464859880
## 752 0.418783523
## 753 0.641466999

Gráfico

plot(pprobit$pprobit, ylab= "Valores Predichos", xlab= "Observaciones")
abline(h= 0, col= "red")
abline(h=1, col= "red")

Calcule los efectos marginales

Efectos marginales en la media - MEM

library(mfx)
## Warning: package 'mfx' was built under R version 4.4.3
## Cargando paquete requerido: sandwich
## Warning: package 'sandwich' was built under R version 4.4.1
## Cargando paquete requerido: MASS
## Warning: package 'MASS' was built under R version 4.4.2
## 
## Adjuntando el paquete: 'MASS'
## The following object is masked from 'package:dplyr':
## 
##     select
## Cargando paquete requerido: betareg
## Warning: package 'betareg' was built under R version 4.4.3
MEMP <- probitmfx(INLF ~ NWIFEINC+ EDUC+ EXPER+ I(EXPER^2)+ AGE+ KIDSLT6+ KIDSGE6, data = DTX, atmean = TRUE)
MEMP
## Call:
## probitmfx(formula = INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + 
##     AGE + KIDSLT6 + KIDSGE6, data = DTX, atmean = TRUE)
## 
## Marginal Effects:
##                  dF/dx   Std. Err.       z     P>|z|    
## NWIFEINC   -0.00469619  0.00192965 -2.4337  0.014945 *  
## EDUC        0.05112843  0.00992310  5.1525 2.571e-07 ***
## EXPER       0.04817690  0.00734505  6.5591 5.413e-11 ***
## I(EXPER^2) -0.00073705  0.00023464 -3.1412  0.001683 ** 
## AGE        -0.02064309  0.00330485 -6.2463 4.203e-10 ***
## KIDSLT6    -0.33914996  0.04634765 -7.3175 2.526e-13 ***
## KIDSGE6     0.01406306  0.01719895  0.8177  0.413546    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Efectos marginales promedio AME

library(mfx)
AMEP <- probitmfx(INLF ~ NWIFEINC+ EDUC+ EXPER+ I(EXPER^2)+ AGE+ KIDSLT6+ KIDSGE6, data = DTX, atmean = FALSE)
AMEP
## Call:
## probitmfx(formula = INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + 
##     AGE + KIDSLT6 + KIDSGE6, data = DTX, atmean = FALSE)
## 
## Marginal Effects:
##                  dF/dx   Std. Err.       z     P>|z|    
## NWIFEINC   -0.00361618  0.00146972 -2.4604  0.013876 *  
## EDUC        0.03937009  0.00726571  5.4186 6.006e-08 ***
## EXPER       0.03709734  0.00516823  7.1780 7.076e-13 ***
## I(EXPER^2) -0.00056755  0.00017708 -3.2050  0.001351 ** 
## AGE        -0.01589566  0.00235868 -6.7392 1.592e-11 ***
## KIDSLT6    -0.26115346  0.03190239 -8.1860 2.700e-16 ***
## KIDSGE6     0.01082889  0.01322413  0.8189  0.412859    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

3.4. Estimación del Modelo Logit

model_03 <- glm(INLF ~ NWIFEINC+ EDUC+ EXPER+ I(EXPER^2)+ AGE+ KIDSLT6+ KIDSGE6, family = binomial(link = "logit"))
summary(model_03)
## 
## Call:
## glm(formula = INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + AGE + 
##     KIDSLT6 + KIDSGE6, family = binomial(link = "logit"))
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  0.425452   0.860365   0.495  0.62095    
## NWIFEINC    -0.021345   0.008421  -2.535  0.01126 *  
## EDUC         0.221170   0.043439   5.091 3.55e-07 ***
## EXPER        0.205870   0.032057   6.422 1.34e-10 ***
## I(EXPER^2)  -0.003154   0.001016  -3.104  0.00191 ** 
## AGE         -0.088024   0.014573  -6.040 1.54e-09 ***
## KIDSLT6     -1.443354   0.203583  -7.090 1.34e-12 ***
## KIDSGE6      0.060112   0.074789   0.804  0.42154    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 1029.75  on 752  degrees of freedom
## Residual deviance:  803.53  on 745  degrees of freedom
## AIC: 819.53
## 
## Number of Fisher Scoring iterations: 4

ODDS- RATIO

exp(model_03$coefficients)
## (Intercept)    NWIFEINC        EDUC       EXPER  I(EXPER^2)         AGE 
##   1.5302825   0.9788810   1.2475360   1.2285929   0.9968509   0.9157386 
##     KIDSLT6     KIDSGE6 
##   0.2361344   1.0619557

Analice la significancia global mediante razón de verosimilitud

model_null <- glm(INLF ~ 1, family = binomial(link = "logit"), data = DTX)
anova(model_null, model_03, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: INLF ~ 1
## Model 2: INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + AGE + KIDSLT6 + 
##     KIDSGE6
##   Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
## 1       752    1029.75                          
## 2       745     803.53  7   226.22 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

log-likelihood

Modelo completo

logLik(model_03)
## 'log Lik.' -401.7652 (df=8)

Modelo restringido

logLik(model_null)
## 'log Lik.' -514.8732 (df=1)

Pseudo R2 de McFadden

pR2(model_03)
## fitting null model for pseudo-r2
##          llh      llhNull           G2     McFadden         r2ML         r2CU 
## -401.7651511 -514.8732046  226.2161070    0.2196814    0.2594927    0.3481893

Calcule AIC y BIC

AIC y BIC - modelo completo

AIC(model_03)
## [1] 819.5303
BIC(model_03)
## [1] 856.5228

AIC y BIC - modelo restringido

AIC(model_null)
## [1] 1031.746
BIC(model_null)
## [1] 1036.37

Obtenga y grafique las probabilidades predichas

Tabla

plogit <- predict(model_03, type= "response")
plogit <- as.data.frame(plogit)
plogit
##          plogit
## 1   0.700662496
## 2   0.748994088
## 3   0.702033866
## 4   0.776177358
## 5   0.581138459
## 6   0.813757468
## 7   0.925191351
## 8   0.807706135
## 9   0.849320028
## 10  0.918578242
## 11  0.890366236
## 12  0.743622495
## 13  0.230668223
## 14  0.796895455
## 15  0.379455134
## 16  0.765118668
## 17  0.877552631
## 18  0.674956788
## 19  0.868059728
## 20  0.834323134
## 21  0.701468287
## 22  0.895575326
## 23  0.799973182
## 24  0.784605473
## 25  0.392666223
## 26  0.946294330
## 27  0.710002755
## 28  0.842577086
## 29  0.726604174
## 30  0.582705526
## 31  0.846299200
## 32  0.573495344
## 33  0.920428483
## 34  0.633980473
## 35  0.956284905
## 36  0.253199185
## 37  0.801920280
## 38  0.845100716
## 39  0.863560910
## 40  0.954954292
## 41  0.266449390
## 42  0.464182258
## 43  0.634992665
## 44  0.572255807
## 45  0.808325216
## 46  0.705406716
## 47  0.759686711
## 48  0.877449608
## 49  0.672896938
## 50  0.824201258
## 51  0.628014930
## 52  0.735478828
## 53  0.911721072
## 54  0.500753666
## 55  0.776007211
## 56  0.928637819
## 57  0.843019444
## 58  0.923566635
## 59  0.833185586
## 60  0.651136279
## 61  0.912595926
## 62  0.722508639
## 63  0.408164034
## 64  0.744337103
## 65  0.829040060
## 66  0.685049321
## 67  0.895576679
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## 71  0.874014485
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## 75  0.915350714
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## 77  0.597657960
## 78  0.943357778
## 79  0.369445966
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## 81  0.523942338
## 82  0.788919303
## 83  0.525969591
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## 85  0.768312504
## 86  0.913928748
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## 90  0.558681025
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## 95  0.910148113
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## 723 0.651885749
## 724 0.881818388
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## 743 0.381855882
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## 747 0.222911718
## 748 0.665986159
## 749 0.561801795
## 750 0.424308018
## 751 0.463821833
## 752 0.411714085
## 753 0.639732191

Gráfico

plot(plogit$plogit, ylab= "Probabilidades predichas", xlab= "Observaciones")
abline(h=0, col= "red", lwd= 2)
abline(h=1, col= "red", lwd= 2)

Efectos marginales en la media, MEM

library(mfx)
MEML <- logitmfx(INLF ~ NWIFEINC+ EDUC+ EXPER+ I(EXPER^2)+ AGE+ KIDSLT6+ KIDSGE6, data = DTX, atmean = TRUE)
MEML
## Call:
## logitmfx(formula = INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + 
##     AGE + KIDSLT6 + KIDSGE6, data = DTX, atmean = TRUE)
## 
## Marginal Effects:
##                  dF/dx   Std. Err.       z     P>|z|    
## NWIFEINC   -0.00519005  0.00204820 -2.5340  0.011278 *  
## EDUC        0.05377731  0.01056074  5.0922 3.539e-07 ***
## EXPER       0.05005693  0.00782462  6.3974 1.581e-10 ***
## I(EXPER^2) -0.00076692  0.00024768 -3.0965  0.001959 ** 
## AGE        -0.02140302  0.00353973 -6.0465 1.480e-09 ***
## KIDSLT6    -0.35094982  0.04963897 -7.0700 1.549e-12 ***
## KIDSGE6     0.01461621  0.01818832  0.8036  0.421625    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Efectos marginales promedio, AME

library(mfx)
AMEL <- logitmfx(INLF ~ NWIFEINC+ EDUC+ EXPER+ I(EXPER^2)+ AGE+ KIDSLT6+ KIDSGE6, data = DTX, atmean = FALSE)
AMEL
## Call:
## logitmfx(formula = INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + 
##     AGE + KIDSLT6 + KIDSGE6, data = DTX, atmean = FALSE)
## 
## Marginal Effects:
##                  dF/dx   Std. Err.       z     P>|z|    
## NWIFEINC   -0.00381181  0.00153898 -2.4769  0.013255 *  
## EDUC        0.03949652  0.00846811  4.6641 3.099e-06 ***
## EXPER       0.03676411  0.00655577  5.6079 2.048e-08 ***
## I(EXPER^2) -0.00056326  0.00018795 -2.9968  0.002728 ** 
## AGE        -0.01571936  0.00293269 -5.3600 8.320e-08 ***
## KIDSLT6    -0.25775366  0.04263493 -6.0456 1.489e-09 ***
## KIDSGE6     0.01073482  0.01339130  0.8016  0.422769    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

3.5. Comparación de modelos

compareCoefs(model_01, model_02, model_03, print = TRUE, se= FALSE, pvals = TRUE)
## Calls:
## 1: lm(formula = INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + AGE + KIDSLT6 
##   + KIDSGE6, data = DTX)
## 2: glm(formula = INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + AGE + 
##   KIDSLT6 + KIDSGE6, family = binomial(link = "probit"))
## 3: glm(formula = INLF ~ NWIFEINC + EDUC + EXPER + I(EXPER^2) + AGE + 
##   KIDSLT6 + KIDSGE6, family = binomial(link = "logit"))
## 
##               Model 1   Model 2   Model 3
## (Intercept)     0.586     0.270     0.425
## Pr(>|z|)      0.00015   0.59503   0.62095
##                                          
## NWIFEINC     -0.00341  -0.01202  -0.02135
## Pr(>|z|)      0.01873   0.01492   0.01126
##                                          
## EDUC            0.038     0.131     0.221
## Pr(>|z|)      2.6e-07   2.6e-07   3.6e-07
##                                          
## EXPER          0.0395    0.1233    0.2059
## Pr(>|z|)      3.4e-12   4.8e-11   1.3e-10
##                                          
## I(EXPER^2)  -0.000596 -0.001887 -0.003154
## Pr(>|z|)      0.00125   0.00166   0.00191
##                                          
## AGE           -0.0161   -0.0529   -0.0880
## Pr(>|z|)      9.4e-11   4.2e-10   1.5e-09
##                                          
## KIDSLT6        -0.262    -0.868    -1.443
## Pr(>|z|)      5.5e-15   2.2e-13   1.3e-12
##                                          
## KIDSGE6        0.0130    0.0360    0.0601
## Pr(>|z|)      0.32410   0.41350   0.42154
## 

Log-likelihood y Pseudo R2

print(c(logLik(model_01),logLik(model_02), logLik(model_03)))
## [1] -423.8923 -401.3022 -401.7652

AIC y BIC

print(c(BIC(model_01),BIC(model_02), BIC(model_03)))
## [1] 907.4013 855.5969 856.5228
print(c(AIC(model_01),AIC(model_02), AIC(model_03)))
## [1] 865.7847 818.6044 819.5303

Porcentaje de predicción correcta

MPL

mm <- pmpl %>% mutate( pmpl1 = round(pmpl,0), pml = DTX$INLF, dif= pmpl1==pml)
prop.table(table(mm$dif))
## 
##     FALSE      TRUE 
## 0.2656042 0.7343958

Probit

pp <- pprobit %>% mutate( pprobit1 = round(pprobit,0), pml = DTX$INLF, dif= pprobit1==pml)
prop.table(table(pp$dif))
## 
##     FALSE      TRUE 
## 0.2656042 0.7343958

logit

ll <- plogit %>% mutate( plogit1 = round(plogit,0), pml = DTX$INLF, dif= plogit1==pml)
prop.table(table(ll$dif))
## 
##     FALSE      TRUE 
## 0.2642762 0.7357238