clase 01 de junio

Author

Leslie Avila

REGRESIÓN MÚLTIPLE CON VARIABLE DISCRETA ORDENADA

install.packages(“MASS”)

install.packages(“VGAM”)

install.packages(“margins”)

install.packages(“pROC”)

install.packages(“ggplot2”)

install.packages(“nnet”)

install.packages(“modelsummary”)

install.packages(“pandoc”)

install.packages(“officer”)

install.packages(“flextable”)

install.packages(“broom”)

install.packages(c(“officer”, “flextable”, “broom”))

install.packages(“Rchoice”)

Cargar librerías

library(MASS)

library(VGAM)

library(margins)

library(pROC)

library(ggplot2)

library(nnet)

library(haven)

library(modelsummary)

library(VGAM)

library(officer)

library(flextable)

library(broom)

library(Rchoice)

library(“foreign”)

library(“Rchoice”)

library(“msm”)

library(“car”)

Leer los datos (ajustar la ruta del archivo)

library(haven)
data <- read_dta("Data1_R.dta")
View(data)

Ver las primeras filas

head(data)
# A tibble: 6 × 50
  area       empleo          region   edad t_hijos nac_vivo_murieron mortinato_2
  <dbl+lbl>  <dbl+lbl>       <dbl+l> <dbl>   <dbl> <dbl+lbl>         <dbl+lbl>  
1 1 [Urbano] 1 [Trabajó al … 1 [Sie…    19       1 0 [No]            0 [No]     
2 1 [Urbano] 0 [No trabajó]  1 [Sie…    23       1 0 [No]            0 [No]     
3 1 [Urbano] 1 [Trabajó al … 1 [Sie…    38       5 0 [No]            0 [No]     
4 1 [Urbano] 0 [No trabajó]  1 [Sie…    18       1 0 [No]            0 [No]     
5 1 [Urbano] 0 [No trabajó]  1 [Sie…    21       1 0 [No]            0 [No]     
6 1 [Urbano] 1 [Trabajó al … 1 [Sie…    22       1 0 [No]            0 [No]     
# ℹ 43 more variables: depresion_pp <dbl+lbl>, intensidad_dpp <dbl+lbl>,
#   etnia <dbl+lbl>, f2_s2_216_1 <dbl+lbl>, f2_s2_216_2 <dbl>,
#   f2_s2_218_1_a <dbl+lbl>, tiempo_dpp <dbl+lbl>, f2_s5_504a_1 <dbl+lbl>,
#   f2_s5_504b_1 <dbl+lbl>, f2_s5_504c_1 <dbl+lbl>, f2_s5_504d_1 <dbl+lbl>,
#   f2_s5_504e_1 <dbl+lbl>, f2_s5_504f_1 <dbl+lbl>, f2_s5_504g_1 <dbl+lbl>,
#   f2_s5_504h_1 <dbl+lbl>, f2_s5_504i_1 <dbl+lbl>, f2_s5_504j_1 <dbl+lbl>,
#   f2_s5_504k_1 <dbl+lbl>, est_civil <dbl+lbl>, q_usted <dbl+lbl>, …

Revisar estructura de los datos

str(data)

Ver distribución de la variable dependiente

table(data$intensidad_dpp)

    1     2     3 
12828  1790  1833 
table(data$depresion_pp) 

    0     1 
12828  3623 

Analisis

indican que 12828 observaciones no han tenido depresion; mientras que 3623 si han presenato depresion

Ejemplo 1: Modelo con variable dependiente odenada

library("Rchoice")
Cargando paquete requerido: Formula
Cargando paquete requerido: maxLik
Cargando paquete requerido: miscTools

Please cite the 'maxLik' package as:
Henningsen, Arne and Toomet, Ott (2011). maxLik: A package for maximum likelihood estimation in R. Computational Statistics 26(3), 443-458. DOI 10.1007/s00180-010-0217-1.

If you have questions, suggestions, or comments regarding the 'maxLik' package, please use a forum or 'tracker' at maxLik's R-Forge site:
https://r-forge.r-project.org/projects/maxlik/
logitord <- Rchoice(intensidad_dpp ~ lingrl + anios_esc + edad + t_hijos + etnia + area, 
                  data = data, 
                  na.action = na.omit, 
                  family = ordinal('logit'))
summary(logitord)

Model: ordinal
Model estimated on: ju. jun. 05 G-InnoVa 21:22:51 2025 

Call:
Rchoice(formula = intensidad_dpp ~ lingrl + anios_esc + edad + 
    t_hijos + etnia + area, data = data, na.action = na.omit, 
    family = ordinal("logit"), method = "bfgs")


Frequencies of categories:
y
     1      2      3 
0.7798 0.1088 0.1114 
The estimation took: 0h:0m:2s 

Coefficients:
           Estimate Std. Error z-value Pr(>|z|)    
kappa.1    0.822194   0.018816  43.697  < 2e-16 ***
constant  -2.352638   0.100572 -23.393  < 2e-16 ***
lingrl     0.001703   0.007114   0.239  0.81077    
anios_esc -0.009924   0.004865  -2.040  0.04136 *  
edad       0.034483   0.003190  10.810  < 2e-16 ***
t_hijos    0.039105   0.018717   2.089  0.03669 *  
etnia      0.344926   0.059842   5.764 8.22e-09 ***
area       0.118337   0.042259   2.800  0.00511 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Optimization of log-likelihood by BFGS maximization
Log Likelihood: -11050
Number of observations: 16451
Number of iterations: 129
Exit of MLE: successful convergence 

Análisis:

  • El ingreso no tiene ninguna influencia sobre la depresión post parto, no hay evidencia estadística.

  • Los años de escolaridad cuando aumentan, reduce la probabilidad de sufrir de depresión posparto, es estadisticamente significativo.

  • La edad aumenta la probabilidad de sufrir depresión post parto

  • A medida que tienen un hijo mas, es mayormente probable que sufran depresion postparto.

  • Las mujeres de la etnia indigena tienen mayor probabilidad de padecer de depresion postparto.

  • Las mujeres que habitan en zonas rurales tienen mayor probabilidad de sufrir depresion postparto.

Exportan informaciòn a word

library(modelsummary)
modelsummary(logitord, output = "modelo_logit_ord.docx")
library(modelsummary)
modelsummary(logitord, 
             output = "modelo_logit_ord2.docx", 
             stars = c('*' = .05, '**' = .01, '***' = .001))
library(modelsummary)
modelsummary(logitord,
             output = "modelo_logit_ord3.docx",
             statistic = c("p.value" = "p = {p.value}{stars}"),
             stars = TRUE)
library(modelsummary)
modelsummary(logitord,
             output = "modelo_logit_ord4.docx",
             statistic = "{statistic}",
             stars = TRUE)

Criterio de información de Akaike (AIC) y criterio de Información Bayesiano (BIC)

AIC(logitord)
[1] 22123.39
BIC(logitord)
[1] 22185.05

Ajustar modelo Probit Ordenado

probitord <- Rchoice(intensidad_dpp ~ lingrl + anios_esc + edad + t_hijos + etnia + area, 
                    data = data, 
                    na.action = na.omit, 
                    family = ordinal('probit'))

Mostrar resumen de los modelos

summary(probitord)

Model: ordinal
Model estimated on: ju. jun. 05 G-InnoVa 21:22:56 2025 

Call:
Rchoice(formula = intensidad_dpp ~ lingrl + anios_esc + edad + 
    t_hijos + etnia + area, data = data, na.action = na.omit, 
    family = ordinal("probit"), method = "bfgs")


Frequencies of categories:
y
     1      2      3 
0.7798 0.1088 0.1114 
The estimation took: 0h:0m:1s 

Coefficients:
           Estimate Std. Error z-value Pr(>|z|)    
kappa.1    0.454873   0.010062  45.205  < 2e-16 ***
constant  -1.404867   0.057158 -24.579  < 2e-16 ***
lingrl     0.001106   0.004054   0.273   0.7850    
anios_esc -0.006361   0.002774  -2.293   0.0218 *  
edad       0.020295   0.001839  11.037  < 2e-16 ***
t_hijos    0.023193   0.010864   2.135   0.0328 *  
etnia      0.196005   0.034697   5.649 1.61e-08 ***
area       0.071133   0.023881   2.979   0.0029 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Optimization of log-likelihood by BFGS maximization
Log Likelihood: -11050
Number of observations: 16451
Number of iterations: 82
Exit of MLE: successful convergence 
library(modelsummary)
modelsummary(probitord,
             output = "modelo_probitord_ord4.docx",
             statistic = "{statistic}",
             stars = TRUE)

Comando para unir los modelos

library(modelsummary)
modelsummary(list("Logit" = logitord, "Probit" = probitord),
             output = "modelos_logit_probit.docx",
             stars = TRUE)

Comparar AIC y BIC de ambos modelos

aic_logit_ord <- AIC(logitord)
aic_probit_ord <- AIC(probitord)
bic_logit_ord <- BIC(logitord)
bic_probit_ord <- BIC(probitord)

Mostrar resultados

cat("AIC Logit Ordenado:", aic_logit_ord, " | AIC Probit Ordenado:", aic_probit_ord, "\n")
AIC Logit Ordenado: 22123.39  | AIC Probit Ordenado: 22109.98 
cat("BIC Logit Ordenado:", bic_logit_ord, " | BIC Probit Ordenado:", bic_probit_ord, "\n")
BIC Logit Ordenado: 22185.05  | BIC Probit Ordenado: 22171.64 

Analisis

El modelo con menor AIC/BIC es el preferido, Ya que tiene mejor ajuste, por lo tanto, el modelo probit ordenado es el mejor.

Efectos marginales

PROBIT

X <- cbind(1, probitord$mf[, -1])
coeficientes<- probitord$coefficients
coeficientes_1<- coeficientes[2:8]
ai <- crossprod(t(X), coeficientes_1)
deriv1<-mean(dnorm(ai))

INGRESO

library(msm)
gamma_hatq1_1 <- coeficientes_1["lingrl"]
AME_hat_q1lc_1   <- round(mean(dnorm(ai)) * (gamma_hatq1_1),3);AME_hat_q1lc_1
lingrl 
     0 
AME_hat_q1lc_se_1 <-  round(deltamethod(~ deriv1 * x1, coef(logitord), vcov(logitord), ses =  TRUE),3);AME_hat_q1lc_se_1 
[1] 0.005
AME_hat_q1lc_cil_1 <-  round(c(AME_hat_q1lc_1 - 1.96 * AME_hat_q1lc_se_1),3);AME_hat_q1lc_cil_1
lingrl 
 -0.01 
AME_hat_q1lc_ciu_1 <-  round(c(AME_hat_q1lc_1 + 1.96 * AME_hat_q1lc_se_1),3);AME_hat_q1lc_ciu_1
lingrl 
  0.01 
AME_hat_q1lc_pr_1 <-  round(2 * pnorm(-abs(AME_hat_q1lc_1/AME_hat_q1lc_se_1)),3);AME_hat_q1lc_pr_1
lingrl 
     1 
AME_hat_q1lc_star_1<- " "  
lingrl_q1<-cbind(AME_hat_q1lc_1,AME_hat_q1lc_star_1, AME_hat_q1lc_se_1,AME_hat_q1lc_pr_1,AME_hat_q1lc_cil_1,AME_hat_q1lc_ciu_1)

ESCOLARIDAD

library(msm)
gamma_hatq2_2 <- coeficientes_1["anios_esc"]
AME_hat_q2lc_2   <- round(mean(dnorm(ai)) * (gamma_hatq2_2),3);AME_hat_q2lc_2
anios_esc 
   -0.002 
AME_hat_q2lc_se_2 <-  round(deltamethod(~ deriv1 * x2, coef(logitord), vcov(logitord), ses =  TRUE),3);AME_hat_q2lc_se_2 
[1] 0.029
AME_hat_q2lc_cil_2 <-  round(c(AME_hat_q2lc_2 - 1.96 * AME_hat_q2lc_se_2),3);AME_hat_q2lc_cil_2
anios_esc 
   -0.059 
AME_hat_q2lc_ciu_2 <-  round(c(AME_hat_q2lc_2 + 1.96 * AME_hat_q2lc_se_2),3);AME_hat_q2lc_ciu_2
anios_esc 
    0.055 
AME_hat_q2lc_pr_2 <-  round(2 * pnorm(-abs(AME_hat_q2lc_2/AME_hat_q2lc_se_2)),3);AME_hat_q2lc_pr_2
anios_esc 
    0.945 
AME_hat_q2lc_star_2<- " "  
anios_esc_q2<-cbind(AME_hat_q2lc_2,AME_hat_q2lc_star_2, AME_hat_q2lc_se_2,AME_hat_q2lc_pr_2,AME_hat_q2lc_cil_2,AME_hat_q2lc_ciu_2)

EDAD

library(msm)
gamma_hatq3_3 <- coeficientes_1["edad"]
AME_hat_q3lc_3   <- round(mean(dnorm(ai)) * (gamma_hatq3_3),3);AME_hat_q3lc_3
 edad 
0.006 
AME_hat_q3lc_se_3 <-  round(deltamethod(~ deriv1 * x3, coef(logitord), vcov(logitord), ses =  TRUE),3);AME_hat_q3lc_se_3 
[1] 0.002
AME_hat_q3lc_cil_3 <-  round(c(AME_hat_q3lc_3 - 1.96 * AME_hat_q3lc_se_3),3);AME_hat_q3lc_cil_3
 edad 
0.002 
AME_hat_q3lc_ciu_3 <-  round(c(AME_hat_q3lc_3 + 1.96 * AME_hat_q3lc_se_3),3);AME_hat_q3lc_ciu_3
edad 
0.01 
AME_hat_q3lc_pr_3 <-  round(2 * pnorm(-abs(AME_hat_q3lc_3/AME_hat_q3lc_se_3)),3);AME_hat_q3lc_pr_3
 edad 
0.003 
AME_hat_q3lc_star_3<- "*** "  
edad_q3<-cbind(AME_hat_q3lc_3,AME_hat_q3lc_star_3, AME_hat_q3lc_se_3,AME_hat_q3lc_pr_3,AME_hat_q3lc_cil_3,AME_hat_q3lc_ciu_3)

NUMERO DE HIJOS

library(msm)
gamma_hatq4_4 <- coeficientes_1["t_hijos"]
AME_hat_q4lc_4   <- round(mean(dnorm(ai)) * (gamma_hatq4_4),3);AME_hat_q4lc_4
t_hijos 
  0.007 
AME_hat_q4lc_se_4 <-  round(deltamethod(~ deriv1 * x4, coef(logitord), vcov(logitord), ses =  TRUE),3);AME_hat_q4lc_se_4 
[1] 0.001
AME_hat_q4lc_cil_4 <-  round(c(AME_hat_q4lc_4 - 1.96 * AME_hat_q4lc_se_4),3);AME_hat_q4lc_cil_4
t_hijos 
  0.005 
AME_hat_q4lc_ciu_4 <-  round(c(AME_hat_q4lc_4 + 1.96 * AME_hat_q4lc_se_4),3);AME_hat_q4lc_ciu_4
t_hijos 
  0.009 
AME_hat_q4lc_pr_4 <-  round(2 * pnorm(-abs(AME_hat_q4lc_4/AME_hat_q4lc_se_4)),3);AME_hat_q4lc_pr_4
t_hijos 
      0 
AME_hat_q4lc_star_4<- "*** "  
t_hijos_q4<-cbind(AME_hat_q4lc_4,AME_hat_q4lc_star_4, AME_hat_q4lc_se_4,AME_hat_q4lc_pr_4,AME_hat_q4lc_cil_4,AME_hat_q4lc_ciu_4)

ETNIA

library(msm)
gamma_hatq5_5 <- coeficientes_1["etnia"]
AME_hat_q5lc_5   <- round(mean(dnorm(ai)) * (gamma_hatq5_5),3);AME_hat_q5lc_5
etnia 
0.057 
AME_hat_q5lc_se_5 <-  round(deltamethod(~ deriv1 * x5, coef(logitord), vcov(logitord), ses =  TRUE),3);AME_hat_q5lc_se_5 
[1] 0.001
AME_hat_q5lc_cil_5 <-  round(c(AME_hat_q5lc_5 - 1.96 * AME_hat_q5lc_se_5),3);AME_hat_q5lc_cil_5
etnia 
0.055 
AME_hat_q5lc_ciu_5 <-  round(c(AME_hat_q5lc_5 + 1.96 * AME_hat_q5lc_se_5),3);AME_hat_q5lc_ciu_5
etnia 
0.059 
AME_hat_q5lc_pr_5 <-  round(2 * pnorm(-abs(AME_hat_q5lc_5/AME_hat_q5lc_se_5)),3);AME_hat_q5lc_pr_5
etnia 
    0 
AME_hat_q5lc_star_5<- "*** "  
etnia_q5<-cbind(AME_hat_q5lc_5,AME_hat_q5lc_star_5, AME_hat_q5lc_se_5,AME_hat_q5lc_pr_5,AME_hat_q5lc_cil_5,AME_hat_q5lc_ciu_5)

AREA

library(msm)
gamma_hatq6_6 <- coeficientes_1["area"]
AME_hat_q6lc_6   <- round(mean(dnorm(ai)) * (gamma_hatq6_6),3);AME_hat_q6lc_6
 area 
0.021 
AME_hat_q6lc_se_6 <-  round(deltamethod(~ deriv1 * x6, coef(logitord), vcov(logitord), ses =  TRUE),3);AME_hat_q6lc_se_6 
[1] 0.005
AME_hat_q6lc_cil_6 <-  round(c(AME_hat_q6lc_6 - 1.96 * AME_hat_q6lc_se_6),3);AME_hat_q6lc_cil_6
 area 
0.011 
AME_hat_q6lc_ciu_6 <-  round(c(AME_hat_q6lc_6 + 1.96 * AME_hat_q6lc_se_6),3);AME_hat_q6lc_ciu_6
 area 
0.031 
AME_hat_q6lc_pr_6 <-  round(2 * pnorm(-abs(AME_hat_q6lc_6/AME_hat_q6lc_se_6)),3);AME_hat_q6lc_pr_6
area 
   0 
AME_hat_q6lc_star_6<- "*** "  
area_q6<-cbind(AME_hat_q6lc_6,AME_hat_q6lc_star_6, AME_hat_q6lc_se_6,AME_hat_q6lc_pr_6,AME_hat_q6lc_cil_6,AME_hat_q6lc_ciu_6)

resultados_ame<-rbind(lingrl_q1,anios_esc_q2, edad_q3, t_hijos_q4,etnia_q5,area_q6);resultados_ame
          AME_hat_q1lc_1 AME_hat_q1lc_star_1 AME_hat_q1lc_se_1
lingrl    "0"            " "                 "0.005"          
anios_esc "-0.002"       " "                 "0.029"          
edad      "0.006"        "*** "              "0.002"          
t_hijos   "0.007"        "*** "              "0.001"          
etnia     "0.057"        "*** "              "0.001"          
area      "0.021"        "*** "              "0.005"          
          AME_hat_q1lc_pr_1 AME_hat_q1lc_cil_1 AME_hat_q1lc_ciu_1
lingrl    "1"               "-0.01"            "0.01"            
anios_esc "0.945"           "-0.059"           "0.055"           
edad      "0.003"           "0.002"            "0.01"            
t_hijos   "0"               "0.005"            "0.009"           
etnia     "0"               "0.055"            "0.059"           
area      "0"               "0.011"            "0.031"           

Exportar efectos marginales a excel

write.csv2(resultados_ame,file="ame_logitord.csv")

Matriz de Confusión y Exactitud del Modelo - Obtener predicciones del modelo logit ordenado

pred_logit_ord <- crossprod(t(X), coeficientes_1)

Convertir las probabilidades en categorías predichas (tomando la categoría con mayor probabilidad)

pred_clases <- apply(pred_logit_ord, 1, which.max)

Crear matriz de confusión

conf_matrix <- table(Predicho = pred_clases, Real = as.numeric(data$intensidad_dpp))

Mostrar matriz de confusión

print(conf_matrix)
        Real
Predicho     1     2     3
       1 12828  1790  1833

Valores predichos

Calcular exactitud del modelo

exactitud <- sum(diag(conf_matrix)) / sum(conf_matrix)
cat("Exactitud del modelo Logit Ordenado:", exactitud, "\n")
Exactitud del modelo Logit Ordenado: 0.7797702 

Analisis

El 77.97%, lo cual significa que el modelo predijo en un 77.97% las observaciones.

MODELO PROBIT

Efectos marginales Probit

X <- cbind(1, probitord$mf[, -1])
coeficientes<- probitord$coefficients
coeficientes_1<- coeficientes[2:8]
ai <- crossprod(t(X), coeficientes_1)
deriv1<-mean(dnorm(ai))

INGRESO

library(msm)
gamma_hatq1_1 <- coeficientes_1["lingrl"]
AME_hat_q1lc_1   <- round(mean(dnorm(ai)) * (gamma_hatq1_1),3);AME_hat_q1lc_1
lingrl 
     0 
AME_hat_q1lc_se_1 <-  round(deltamethod(~ deriv1 * x1, coef(probitord), vcov(probitord), ses =  TRUE),3);AME_hat_q1lc_se_1 
[1] 0.003
AME_hat_q1lc_cil_1 <-  round(c(AME_hat_q1lc_1 - 1.96 * AME_hat_q1lc_se_1),3);AME_hat_q1lc_cil_1
lingrl 
-0.006 
AME_hat_q1lc_ciu_1 <-  round(c(AME_hat_q1lc_1 + 1.96 * AME_hat_q1lc_se_1),3);AME_hat_q1lc_ciu_1
lingrl 
 0.006 
AME_hat_q1lc_pr_1 <-  round(2 * pnorm(-abs(AME_hat_q1lc_1/AME_hat_q1lc_se_1)),3);AME_hat_q1lc_pr_1
lingrl 
     1 
AME_hat_q1lc_star_1<- " "  
lingrl_q1<-cbind(AME_hat_q1lc_1,AME_hat_q1lc_star_1, AME_hat_q1lc_se_1,AME_hat_q1lc_pr_1,AME_hat_q1lc_cil_1,AME_hat_q1lc_ciu_1)

ESCOLARIDAD

library(msm)
gamma_hatq2_2 <- coeficientes_1["anios_esc"]
AME_hat_q2lc_2   <- round(mean(dnorm(ai)) * (gamma_hatq2_2),3);AME_hat_q2lc_2
anios_esc 
   -0.002 
AME_hat_q2lc_se_2 <-  round(deltamethod(~ deriv1 * x2, coef(probitord), vcov(probitord), ses =  TRUE),3);AME_hat_q2lc_se_2 
[1] 0.017
AME_hat_q2lc_cil_2 <-  round(c(AME_hat_q2lc_2 - 1.96 * AME_hat_q2lc_se_2),3);AME_hat_q2lc_cil_2
anios_esc 
   -0.035 
AME_hat_q2lc_ciu_2 <-  round(c(AME_hat_q2lc_2 + 1.96 * AME_hat_q2lc_se_2),3);AME_hat_q2lc_ciu_2
anios_esc 
    0.031 
AME_hat_q2lc_pr_2 <-  round(2 * pnorm(-abs(AME_hat_q2lc_2/AME_hat_q2lc_se_2)),3);AME_hat_q2lc_pr_2
anios_esc 
    0.906 
AME_hat_q2lc_star_2<- " "  
anios_esc_q2<-cbind(AME_hat_q2lc_2,AME_hat_q2lc_star_2, AME_hat_q2lc_se_2,AME_hat_q2lc_pr_2,AME_hat_q2lc_cil_2,AME_hat_q2lc_ciu_2)

EDAD

library(msm)
gamma_hatq3_3 <- coeficientes_1["edad"]
AME_hat_q3lc_3   <- round(mean(dnorm(ai)) * (gamma_hatq3_3),3);AME_hat_q3lc_3
 edad 
0.006 
AME_hat_q3lc_se_3 <-  round(deltamethod(~ deriv1 * x3, coef(probitord), vcov(probitord), ses =  TRUE),3);AME_hat_q3lc_se_3 
[1] 0.001
AME_hat_q3lc_cil_3 <-  round(c(AME_hat_q3lc_3 - 1.96 * AME_hat_q3lc_se_3),3);AME_hat_q3lc_cil_3
 edad 
0.004 
AME_hat_q3lc_ciu_3 <-  round(c(AME_hat_q3lc_3 + 1.96 * AME_hat_q3lc_se_3),3);AME_hat_q3lc_ciu_3
 edad 
0.008 
AME_hat_q3lc_pr_3 <-  round(2 * pnorm(-abs(AME_hat_q3lc_3/AME_hat_q3lc_se_3)),3);AME_hat_q3lc_pr_3
edad 
   0 
AME_hat_q3lc_star_3<- "*** "  
edad_q3<-cbind(AME_hat_q3lc_3,AME_hat_q3lc_star_3, AME_hat_q3lc_se_3,AME_hat_q3lc_pr_3,AME_hat_q3lc_cil_3,AME_hat_q3lc_ciu_3)

NUMERO DE HIJOS

library(msm)
gamma_hatq4_4 <- coeficientes_1["t_hijos"]
AME_hat_q4lc_4   <- round(mean(dnorm(ai)) * (gamma_hatq4_4),3);AME_hat_q4lc_4
t_hijos 
  0.007 
AME_hat_q4lc_se_4 <-  round(deltamethod(~ deriv1 * x4, coef(probitord), vcov(probitord), ses =  TRUE),3);AME_hat_q4lc_se_4 
[1] 0.001
AME_hat_q4lc_cil_4 <-  round(c(AME_hat_q4lc_4 - 1.96 * AME_hat_q4lc_se_4),3);AME_hat_q4lc_cil_4
t_hijos 
  0.005 
AME_hat_q4lc_ciu_4 <-  round(c(AME_hat_q4lc_4 + 1.96 * AME_hat_q4lc_se_4),3);AME_hat_q4lc_ciu_4
t_hijos 
  0.009 
AME_hat_q4lc_pr_4 <-  round(2 * pnorm(-abs(AME_hat_q4lc_4/AME_hat_q4lc_se_4)),3);AME_hat_q4lc_pr_4
t_hijos 
      0 
AME_hat_q4lc_star_4<- "*** "  
t_hijos_q4<-cbind(AME_hat_q4lc_4,AME_hat_q4lc_star_4, AME_hat_q4lc_se_4,AME_hat_q4lc_pr_4,AME_hat_q4lc_cil_4,AME_hat_q4lc_ciu_4)

ETNIA

library(msm)
gamma_hatq5_5 <- coeficientes_1["etnia"]
AME_hat_q5lc_5   <- round(mean(dnorm(ai)) * (gamma_hatq5_5),3);AME_hat_q5lc_5
etnia 
0.057 
AME_hat_q5lc_se_5 <-  round(deltamethod(~ deriv1 * x5, coef(probitord), vcov(probitord), ses =  TRUE),3);AME_hat_q5lc_se_5 
[1] 0.001
AME_hat_q5lc_cil_5 <-  round(c(AME_hat_q5lc_5 - 1.96 * AME_hat_q5lc_se_5),3);AME_hat_q5lc_cil_5
etnia 
0.055 
AME_hat_q5lc_ciu_5 <-  round(c(AME_hat_q5lc_5 + 1.96 * AME_hat_q5lc_se_5),3);AME_hat_q5lc_ciu_5
etnia 
0.059 
AME_hat_q5lc_pr_5 <-  round(2 * pnorm(-abs(AME_hat_q5lc_5/AME_hat_q5lc_se_5)),3);AME_hat_q5lc_pr_5
etnia 
    0 
AME_hat_q5lc_star_5<- "*** "  
etnia_q5<-cbind(AME_hat_q5lc_5,AME_hat_q5lc_star_5, AME_hat_q5lc_se_5,AME_hat_q5lc_pr_5,AME_hat_q5lc_cil_5,AME_hat_q5lc_ciu_5)

AREA

library(msm)
gamma_hatq6_6 <- coeficientes_1["area"]
AME_hat_q6lc_6   <- round(mean(dnorm(ai)) * (gamma_hatq6_6),3);AME_hat_q6lc_6
 area 
0.021 
AME_hat_q6lc_se_6 <-  round(deltamethod(~ deriv1 * x6, coef(probitord), vcov(probitord), ses =  TRUE),3);AME_hat_q6lc_se_6 
[1] 0.003
AME_hat_q6lc_cil_6 <-  round(c(AME_hat_q6lc_6 - 1.96 * AME_hat_q6lc_se_6),3);AME_hat_q6lc_cil_6
 area 
0.015 
AME_hat_q6lc_ciu_6 <-  round(c(AME_hat_q6lc_6 + 1.96 * AME_hat_q6lc_se_6),3);AME_hat_q6lc_ciu_6
 area 
0.027 
AME_hat_q6lc_pr_6 <-  round(2 * pnorm(-abs(AME_hat_q6lc_6/AME_hat_q6lc_se_6)),3);AME_hat_q6lc_pr_6
area 
   0 
AME_hat_q6lc_star_6<- "*** "  
area_q6<-cbind(AME_hat_q6lc_6,AME_hat_q6lc_star_6, AME_hat_q6lc_se_6,AME_hat_q6lc_pr_6,AME_hat_q6lc_cil_6,AME_hat_q6lc_ciu_6)

Modelo probit

data$intensidad_dpp <- ordered(data$intensidad_dpp)
library(MASS)

probitord <- polr(intensidad_dpp ~ lingrl + anios_esc + edad + t_hijos + etnia + area,
                  data = data,
                  method = "probit",
                  Hess = TRUE)

Mostrar resumen de los modelos

AIC(probitord)
[1] 22109.98
BIC(probitord)
[1] 22171.64

Efectos marginales

pred_clases <- predict(probitord, type = "class")
conf_matrix <- table(Predicho = pred_clases, Real = data$intensidad_dpp)
print(conf_matrix)
        Real
Predicho     1     2     3
       1 12828  1790  1833
       2     0     0     0
       3     0     0     0
exactitud <- sum(diag(conf_matrix)) / sum(conf_matrix)
cat("Exactitud del modelo Probit Ordenado:", exactitud, "\n")
Exactitud del modelo Probit Ordenado: 0.7797702