paquetes <- c(
"faraway",
"dplyr",
"ggplot2",
"forecast",
"lubridate",
"googlesheets4",
"readxl",
"tidyr"
)
paquetes_faltantes <- paquetes[!paquetes %in% rownames(installed.packages())]
if (length(paquetes_faltantes) > 0) {
install.packages(paquetes_faltantes)
}
lapply(paquetes, library, character.only = TRUE)
## Warning: package 'faraway' was built under R version 4.5.3
## Warning: package 'dplyr' was built under R version 4.5.3
##
## Adjuntando el paquete: 'dplyr'
## The following objects are masked from 'package:stats':
##
## filter, lag
## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, union
## Warning: package 'forecast' was built under R version 4.5.3
## Warning: package 'lubridate' was built under R version 4.5.3
##
## Adjuntando el paquete: 'lubridate'
## The following objects are masked from 'package:base':
##
## date, intersect, setdiff, union
## Warning: package 'googlesheets4' was built under R version 4.5.3
## [[1]]
## [1] "faraway" "stats" "graphics" "grDevices" "utils" "datasets"
## [7] "methods" "base"
##
## [[2]]
## [1] "dplyr" "faraway" "stats" "graphics" "grDevices" "utils"
## [7] "datasets" "methods" "base"
##
## [[3]]
## [1] "ggplot2" "dplyr" "faraway" "stats" "graphics" "grDevices"
## [7] "utils" "datasets" "methods" "base"
##
## [[4]]
## [1] "forecast" "ggplot2" "dplyr" "faraway" "stats" "graphics"
## [7] "grDevices" "utils" "datasets" "methods" "base"
##
## [[5]]
## [1] "lubridate" "forecast" "ggplot2" "dplyr" "faraway" "stats"
## [7] "graphics" "grDevices" "utils" "datasets" "methods" "base"
##
## [[6]]
## [1] "googlesheets4" "lubridate" "forecast" "ggplot2"
## [5] "dplyr" "faraway" "stats" "graphics"
## [9] "grDevices" "utils" "datasets" "methods"
## [13] "base"
##
## [[7]]
## [1] "readxl" "googlesheets4" "lubridate" "forecast"
## [5] "ggplot2" "dplyr" "faraway" "stats"
## [9] "graphics" "grDevices" "utils" "datasets"
## [13] "methods" "base"
##
## [[8]]
## [1] "tidyr" "readxl" "googlesheets4" "lubridate"
## [5] "forecast" "ggplot2" "dplyr" "faraway"
## [9] "stats" "graphics" "grDevices" "utils"
## [13] "datasets" "methods" "base"
Estime un modelo para explicar los salarios (“wage”)
data.frame(uswages)
## wage educ exper race smsa ne mw so we pt
## 6085 771.60 18 18 0 1 1 0 0 0 0
## 23701 617.28 15 20 0 1 0 0 0 1 0
## 16208 957.83 16 9 0 1 0 0 1 0 0
## 2720 617.28 12 24 0 1 1 0 0 0 0
## 9723 902.18 14 12 0 1 0 1 0 0 0
## 22239 299.15 12 33 0 1 0 0 0 1 0
## 14379 541.31 16 42 0 1 0 0 1 0 1
## 12878 148.39 16 0 0 1 0 1 0 0 1
## 23121 273.19 12 36 0 1 0 0 0 1 1
## 13086 666.67 12 37 0 0 0 1 0 0 0
## 19913 241.50 9 20 1 1 0 0 1 0 1
## 20055 703.79 14 29 0 1 0 0 1 0 0
## 6076 550.81 17 16 0 0 1 0 0 0 0
## 24050 807.22 14 21 0 1 0 0 0 1 1
## 11064 712.25 14 11 0 0 0 1 0 0 0
## 26395 351.46 10 10 0 1 0 0 0 1 0
## 15576 373.24 12 8 0 0 0 0 1 0 0
## 18936 759.73 13 19 0 1 0 0 1 0 0
## 4747 356.13 14 6 0 1 1 0 0 0 0
## 21572 308.64 16 0 0 1 0 0 1 0 0
## 14575 469.14 6 24 0 0 0 0 1 0 0
## 15065 617.28 16 -1 0 1 0 0 1 0 0
## 23270 123.46 16 1 0 1 0 0 0 1 1
## 11093 474.83 12 11 0 0 0 1 0 0 0
## 8830 261.16 12 40 0 1 0 1 0 0 0
## 9219 284.90 12 5 0 1 0 1 0 0 0
## 28065 1661.92 12 15 0 1 0 0 0 1 0
## 1339 629.15 12 44 0 1 1 0 0 0 0
## 13462 2374.15 12 35 0 1 0 0 1 0 0
## 10787 522.32 16 8 0 1 0 1 0 0 0
## 11423 688.51 14 12 0 1 0 1 0 0 0
## 15657 246.91 9 13 0 1 0 0 1 0 0
## 2698 949.67 5 55 1 1 1 0 0 0 0
## 14276 261.16 14 7 1 1 0 0 1 0 0
## 10854 106.86 10 52 0 1 0 1 0 0 1
## 7510 296.77 12 11 0 1 0 1 0 0 0
## 26838 379.87 14 8 0 1 0 0 0 1 0
## 21118 634.92 9 19 0 1 0 0 1 0 0
## 10875 1182.03 12 45 0 1 0 1 0 0 0
## 8891 740.74 12 9 0 1 0 1 0 0 0
## 15487 237.42 10 12 1 1 0 0 1 0 0
## 6090 144.03 12 0 0 1 1 0 0 0 0
## 2293 406.96 14 11 0 0 1 0 0 0 0
## 8794 351.61 9 10 0 0 0 1 0 0 0
## 3544 593.54 12 10 0 1 1 0 0 0 0
## 23320 273.03 14 4 0 1 0 0 0 1 0
## 23176 997.15 12 44 0 1 0 0 0 1 0
## 4938 1198.96 12 34 0 1 1 0 0 0 0
## 12672 569.80 15 15 0 1 0 1 0 0 0
## 8971 130.58 12 4 0 1 0 1 0 0 0
## 16287 641.03 13 16 1 1 0 0 1 0 0
## 15181 712.25 14 25 0 1 0 0 1 0 0
## 3554 1073.12 16 8 0 1 1 0 0 0 0
## 26446 712.25 16 13 0 1 0 0 0 1 0
## 8698 261.16 12 35 0 1 0 1 0 0 0
## 9899 783.48 16 4 0 1 0 1 0 0 0
## 18503 197.53 12 8 1 1 0 0 1 0 1
## 27829 720.16 12 28 1 1 0 0 0 1 0
## 10616 593.54 14 18 0 1 0 1 0 0 0
## 24172 1234.57 18 7 0 1 0 0 0 1 0
## 14806 533.87 12 9 0 0 0 0 1 0 0
## 4777 712.25 16 6 0 1 1 0 0 0 0
## 9322 909.31 16 9 0 1 0 1 0 0 0
## 16555 356.13 12 14 1 1 0 0 1 0 0
## 26982 759.73 14 11 0 1 0 0 0 1 0
## 19738 382.74 8 42 0 1 0 0 1 0 0
## 16707 53.70 9 22 1 1 0 0 1 0 1
## 6352 403.61 12 12 0 0 1 0 0 0 0
## 19667 664.77 12 15 0 1 0 0 1 0 0
## 17679 415.48 13 21 0 1 0 0 1 0 0
## 17796 949.67 16 21 0 1 0 0 1 0 0
## 27009 664.77 12 15 0 1 0 0 0 1 0
## 3901 308.64 10 51 0 0 1 0 0 0 0
## 27986 997.15 12 11 0 1 0 0 0 1 0
## 3303 2374.15 18 27 0 1 1 0 0 0 0
## 15785 259.73 12 1 0 0 0 0 1 0 0
## 119 641.03 13 27 0 0 1 0 0 0 0
## 11397 411.52 12 11 0 1 0 1 0 0 0
## 7461 379.87 12 23 1 1 0 1 0 0 0
## 6106 231.48 16 11 0 1 1 0 0 0 0
## 12956 142.45 12 4 0 0 0 1 0 0 0
## 7371 503.70 11 6 0 0 0 1 0 0 0
## 8854 94.59 14 4 0 1 0 1 0 0 1
## 5540 1234.57 18 3 0 1 1 0 0 0 0
## 21727 379.87 4 34 0 0 0 0 1 0 0
## 7385 391.74 12 15 0 1 0 1 0 0 0
## 612 411.70 12 19 0 0 1 0 0 0 0
## 21394 1068.38 14 31 0 1 0 0 1 0 0
## 9748 123.46 15 -1 0 1 0 1 0 0 0
## 10401 569.80 12 37 0 1 0 1 0 0 0
## 8748 94.97 13 32 0 0 0 1 0 0 1
## 7702 474.83 8 46 0 1 0 1 0 0 0
## 18839 379.87 12 12 0 1 0 0 1 0 0
## 16131 118.71 3 56 0 0 0 0 1 0 1
## 10609 90.22 12 1 0 0 0 1 0 0 0
## 3648 402.17 10 8 0 1 1 0 0 0 0
## 20327 1344.78 16 12 0 1 0 0 1 0 0
## 26747 474.83 16 27 0 1 0 0 0 1 0
## 24480 356.13 9 45 0 1 0 0 0 1 0
## 25209 197.53 12 2 0 1 0 0 0 1 0
## 4795 949.67 11 19 1 1 1 0 0 0 0
## 10301 531.81 18 11 0 0 0 1 0 0 1
## 22061 522.32 12 16 0 0 0 0 1 0 0
## 12857 356.13 18 32 0 1 0 1 0 0 0
## 24745 949.67 12 35 0 1 0 0 0 1 0
## 16118 902.18 18 14 0 1 0 0 1 0 0
## 27977 1697.72 18 12 0 0 0 0 0 1 0
## 25363 451.09 14 16 0 0 0 0 0 1 0
## 6986 830.96 16 37 0 1 0 1 0 0 0
## 24174 807.22 14 16 0 1 0 0 0 1 0
## 26144 617.28 6 23 0 1 0 0 0 1 0
## 9238 271.60 13 1 0 1 0 1 0 0 0
## 7572 462.99 12 10 0 0 0 1 0 0 0
## 22024 336.70 13 17 0 1 0 0 1 0 0
## 20215 593.54 16 4 0 1 0 0 1 0 0
## 26010 189.93 8 43 0 1 0 0 0 1 0
## 7945 119.66 14 3 0 0 0 1 0 0 0
## 18821 641.03 13 15 0 0 0 0 1 0 0
## 3395 76.43 13 -1 0 1 1 0 0 0 1
## 4310 493.83 14 0 0 1 1 0 0 0 0
## 22040 679.01 16 23 0 0 0 0 1 0 0
## 18395 308.64 10 10 0 1 0 0 1 0 0
## 26521 130.58 12 11 0 1 0 0 0 1 1
## 6305 56.79 14 0 0 0 1 0 0 0 1
## 2330 1899.34 14 30 0 1 1 0 0 0 0
## 27898 1316.87 12 15 0 0 0 0 0 1 0
## 2245 830.96 18 0 0 1 1 0 0 0 0
## 23041 784.69 14 15 0 0 0 0 0 1 0
## 6736 1139.60 16 5 0 1 0 1 0 0 0
## 27500 167.55 12 2 0 1 0 0 0 1 0
## 2224 712.25 12 42 0 1 1 0 0 0 0
## 6712 845.20 14 13 0 1 0 1 0 0 0
## 15738 315.82 12 18 0 1 0 0 1 0 0
## 25092 183.42 10 6 0 1 0 0 0 1 0
## 5494 337.08 9 43 0 1 1 0 0 0 0
## 13670 493.83 11 3 0 1 0 0 1 0 0
## 20453 854.70 18 25 0 0 0 0 1 0 0
## 14818 885.57 12 20 0 0 0 0 1 0 0
## 24711 1033.01 18 3 0 0 0 0 0 1 0
## 4526 403.61 13 5 0 1 1 0 0 0 0
## 7363 522.32 16 7 0 1 0 1 0 0 0
## 18966 197.53 12 19 1 1 0 0 1 0 0
## 10371 308.64 12 4 0 1 0 1 0 0 0
## 22716 521.94 12 42 0 0 0 0 0 1 0
## 3094 367.74 16 8 0 1 1 0 0 0 0
## 6244 236.42 12 13 0 1 1 0 0 0 0
## 85 569.80 8 36 0 1 1 0 0 0 0
## 10912 641.03 16 16 0 1 0 1 0 0 0
## 26199 783.48 16 10 0 1 0 0 0 1 0
## 1514 189.93 15 -1 0 1 1 0 0 0 0
## 13332 500.95 17 1 0 1 0 0 1 0 0
## 13016 593.54 12 12 0 1 0 1 0 0 0
## 8931 154.32 13 1 0 1 0 1 0 0 1
## 12447 721.45 8 47 0 1 0 1 0 0 0
## 6079 522.32 10 24 1 1 1 0 0 0 0
## 6635 1234.57 14 21 0 1 0 1 0 0 0
## 25763 123.46 16 9 0 1 0 0 0 1 1
## 18783 546.06 12 21 0 0 0 0 1 0 0
## 24442 1305.79 18 19 0 0 0 0 0 1 0
## 20029 522.32 18 12 0 1 0 0 1 0 0
## 16431 379.87 12 19 0 0 0 0 1 0 0
## 977 866.57 18 14 0 1 1 0 0 0 0
## 4269 689.53 11 38 0 1 1 0 0 0 0
## 19267 346.63 12 38 0 0 0 0 1 0 0
## 19620 379.87 13 5 0 0 0 0 1 0 0
## 15685 370.37 3 49 0 1 0 0 1 0 0
## 26 546.06 12 16 0 1 1 0 0 0 0
## 9511 1305.79 12 18 0 1 0 1 0 0 0
## 6369 498.58 12 17 0 0 1 0 0 0 0
## 3858 241.21 12 0 0 0 1 0 0 0 0
## 4020 195.46 12 5 1 1 1 0 0 0 0
## 17173 160.49 12 21 1 1 0 0 1 0 0
## 25293 470.09 12 25 0 1 0 0 0 1 0
## 19611 415.48 12 40 0 0 0 0 1 0 0
## 749 830.96 12 27 0 0 1 0 0 0 0
## 23472 668.47 14 21 0 1 0 0 0 1 0
## 4190 997.15 18 6 0 1 1 0 0 0 0
## 24273 1111.11 18 28 0 1 0 0 0 1 0
## 5642 384.62 12 31 0 1 1 0 0 0 0
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## 25642 189.93 1 49 0 1 0 0 0 1 0
## 1776 683.76 9 46 0 1 1 0 0 0 0
## 19914 61.73 12 17 1 1 0 0 1 0 1
## 11450 664.77 16 9 0 1 0 1 0 0 0
## 23203 679.01 16 7 0 1 0 0 0 1 0
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## 15041 747.86 16 12 0 1 0 0 1 0 0
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## 1860 1412.63 18 14 0 1 1 0 0 0 0
## 7539 807.22 10 27 0 0 0 1 0 0 0
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## 9449 98.77 13 -1 0 1 0 1 0 0 1
## 21575 474.83 10 12 0 0 0 0 1 0 0
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## 23322 830.96 12 16 0 1 0 0 0 1 0
## 14657 830.96 18 29 0 0 0 0 1 0 0
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## 16842 92.59 11 1 1 0 0 0 1 0 1
## 14414 325.26 12 3 0 1 0 0 1 0 0
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load("~/Econometria/datos_parcial (2).RData")
data(uswages, package = "faraway")
datos <- uswages
head(datos)
## wage educ exper race smsa ne mw so we pt
## 6085 771.60 18 18 0 1 1 0 0 0 0
## 23701 617.28 15 20 0 1 0 0 0 1 0
## 16208 957.83 16 9 0 1 0 0 1 0 0
## 2720 617.28 12 24 0 1 1 0 0 0 0
## 9723 902.18 14 12 0 1 0 1 0 0 0
## 22239 299.15 12 33 0 1 0 0 0 1 0
str(datos)
## 'data.frame': 2000 obs. of 10 variables:
## $ wage : num 772 617 958 617 902 ...
## $ educ : int 18 15 16 12 14 12 16 16 12 12 ...
## $ exper: int 18 20 9 24 12 33 42 0 36 37 ...
## $ race : int 0 0 0 0 0 0 0 0 0 0 ...
## $ smsa : int 1 1 1 1 1 1 1 1 1 0 ...
## $ ne : int 1 0 0 1 0 0 0 0 0 0 ...
## $ mw : int 0 0 0 0 1 0 0 1 0 1 ...
## $ so : int 0 0 1 0 0 0 1 0 0 0 ...
## $ we : int 0 1 0 0 0 1 0 0 1 0 ...
## $ pt : int 0 0 0 0 0 0 1 1 1 0 ...
summary(datos)
## wage educ exper race
## Min. : 50.39 Min. : 0.00 Min. :-2.00 Min. :0.000
## 1st Qu.: 308.64 1st Qu.:12.00 1st Qu.: 8.00 1st Qu.:0.000
## Median : 522.32 Median :12.00 Median :15.00 Median :0.000
## Mean : 608.12 Mean :13.11 Mean :18.41 Mean :0.078
## 3rd Qu.: 783.48 3rd Qu.:16.00 3rd Qu.:27.00 3rd Qu.:0.000
## Max. :7716.05 Max. :18.00 Max. :59.00 Max. :1.000
## smsa ne mw so
## Min. :0.000 Min. :0.000 Min. :0.0000 Min. :0.0000
## 1st Qu.:1.000 1st Qu.:0.000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :1.000 Median :0.000 Median :0.0000 Median :0.0000
## Mean :0.756 Mean :0.229 Mean :0.2485 Mean :0.3125
## 3rd Qu.:1.000 3rd Qu.:0.000 3rd Qu.:0.0000 3rd Qu.:1.0000
## Max. :1.000 Max. :1.000 Max. :1.0000 Max. :1.0000
## we pt
## Min. :0.00 Min. :0.0000
## 1st Qu.:0.00 1st Qu.:0.0000
## Median :0.00 Median :0.0000
## Mean :0.21 Mean :0.0925
## 3rd Qu.:0.00 3rd Qu.:0.0000
## Max. :1.00 Max. :1.0000
Limpieza de datos.
datos <- na.omit(datos)
datos <- datos %>%
mutate(across(where(is.character), as.factor))
str(datos)
## 'data.frame': 2000 obs. of 10 variables:
## $ wage : num 772 617 958 617 902 ...
## $ educ : int 18 15 16 12 14 12 16 16 12 12 ...
## $ exper: int 18 20 9 24 12 33 42 0 36 37 ...
## $ race : int 0 0 0 0 0 0 0 0 0 0 ...
## $ smsa : int 1 1 1 1 1 1 1 1 1 0 ...
## $ ne : int 1 0 0 1 0 0 0 0 0 0 ...
## $ mw : int 0 0 0 0 1 0 0 1 0 1 ...
## $ so : int 0 0 1 0 0 0 1 0 0 0 ...
## $ we : int 0 1 0 0 0 1 0 0 1 0 ...
## $ pt : int 0 0 0 0 0 0 1 1 1 0 ...
Modelo lineal usando todas las variables.
modelo_completo <- lm(wage ~ ., data = datos)
# Mostrar resultados del modelo
summary(modelo_completo)
##
## Call:
## lm(formula = wage ~ ., data = datos)
##
## Residuals:
## Min 1Q Median 3Q Max
## -875.7 -213.8 -53.3 128.5 7505.5
##
## Coefficients: (1 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -203.9184 53.6126 -3.804 0.000147 ***
## educ 48.8034 3.2489 15.022 < 2e-16 ***
## exper 9.1353 0.7262 12.579 < 2e-16 ***
## race -119.1585 35.1922 -3.386 0.000723 ***
## smsa 115.6783 21.7386 5.321 1.15e-07 ***
## ne -53.9265 27.9738 -1.928 0.054028 .
## mw -60.1990 27.3487 -2.201 0.027839 *
## so -50.4333 26.3703 -1.913 0.055955 .
## we NA NA NA NA
## pt -336.2156 31.9381 -10.527 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 412.1 on 1991 degrees of freedom
## Multiple R-squared: 0.2001, Adjusted R-squared: 0.1969
## F-statistic: 62.25 on 8 and 1991 DF, p-value: < 2.2e-16
2. Muestra de entrenamiento al 70 % total de la data con 500
iteraciones y un “seed” de 60, verifique la capacidad predictiva del
modelo.
set.seed(60)
# Número de iteraciones
B <- 500
# Cantidad total de observaciones
n <- nrow(datos)
# Tabla vacia para guardar metricas de iteracion
data.frame(
iteracion = 1:B,
rmse = NA,
mae = NA,
mape = NA,
error_porcentual_maximo = NA,
error_absoluto_minimo = NA,
varianza_explicada_pronosticos = NA,
theil_u = NA
)
## iteracion rmse mae mape error_porcentual_maximo error_absoluto_minimo
## 1 1 NA NA NA NA NA
## 2 2 NA NA NA NA NA
## 3 3 NA NA NA NA NA
## 4 4 NA NA NA NA NA
## 5 5 NA NA NA NA NA
## 6 6 NA NA NA NA NA
## 7 7 NA NA NA NA NA
## 8 8 NA NA NA NA NA
## 9 9 NA NA NA NA NA
## 10 10 NA NA NA NA NA
## 11 11 NA NA NA NA NA
## 12 12 NA NA NA NA NA
## 13 13 NA NA NA NA NA
## 14 14 NA NA NA NA NA
## 15 15 NA NA NA NA NA
## 16 16 NA NA NA NA NA
## 17 17 NA NA NA NA NA
## 18 18 NA NA NA NA NA
## 19 19 NA NA NA NA NA
## 20 20 NA NA NA NA NA
## 21 21 NA NA NA NA NA
## 22 22 NA NA NA NA NA
## 23 23 NA NA NA NA NA
## 24 24 NA NA NA NA NA
## 25 25 NA NA NA NA NA
## 26 26 NA NA NA NA NA
## 27 27 NA NA NA NA NA
## 28 28 NA NA NA NA NA
## 29 29 NA NA NA NA NA
## 30 30 NA NA NA NA NA
## 31 31 NA NA NA NA NA
## 32 32 NA NA NA NA NA
## 33 33 NA NA NA NA NA
## 34 34 NA NA NA NA NA
## 35 35 NA NA NA NA NA
## 36 36 NA NA NA NA NA
## 37 37 NA NA NA NA NA
## 38 38 NA NA NA NA NA
## 39 39 NA NA NA NA NA
## 40 40 NA NA NA NA NA
## 41 41 NA NA NA NA NA
## 42 42 NA NA NA NA NA
## 43 43 NA NA NA NA NA
## 44 44 NA NA NA NA NA
## 45 45 NA NA NA NA NA
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## 320 320 NA NA NA NA NA
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#Tabla vacia para decomposicion de Theil
theil_descomposicion <- data.frame(
iteracion = 1:B,
proporcion_sesgo = NA,
proporcion_varianza = NA,
proporcion_covarianza = NA
)
# Función auxiliar para desviación estándar poblacional
sd_poblacional <- function(x) {
sqrt(mean((x - mean(x))^2))
}
500 iteraciones
indices_entrenamiento <- sample(
1:n,
size = floor(0.70 * n),
replace = FALSE
)
# Muestra de entrenamiento
entrenamiento <- datos[indices_entrenamiento, ]
# Muestra de prueba
prueba <- datos[-indices_entrenamiento, ]
# Modelo usando datos de entrenamiento
modelo_i <- lm(wage ~ ., data = entrenamiento)
# Generando predicciones sobre datos de prueba
predicciones <- predict(modelo_i, newdata = prueba)
# Valores reales observados
reales <- prueba$wage
# Calculando errores
errores <- reales - predicciones
errores_abs <- abs(errores)
# Error porcentual absoluto
errores_pct <- abs(errores / reales) * 100
errores_pct <- errores_pct[is.finite(errores_pct)]
# RMSE: raíz del error cuadrático medio
rmse_i <- sqrt(mean(errores^2))
# MAE: error absoluto medio
mae_i <- mean(errores_abs)
# MAPE: error porcentual absoluto medio
mape_i <- mean(errores_pct, na.rm = TRUE)
# Error porcentual máximo esperado
error_pct_max_i <- max(errores_pct, na.rm = TRUE)
# Error absoluto mínimo esperado
error_abs_min_i <- min(errores_abs, na.rm = TRUE)
# Porcentaje de varianza explicada por los pronósticos
if (sd(reales) > 0 && sd(predicciones) > 0) {
var_exp_i <- cor(reales, predicciones)^2 * 100
} else {
var_exp_i <- NA
}
# Coeficiente U de Theil
theil_u_i <- sqrt(mean((predicciones - reales)^2)) /
(sqrt(mean(predicciones^2)) + sqrt(mean(reales^2)))
# Guardando métricas
metricas <- data.frame(
rmse = rmse_i,
mae = mae_i,
mape = mape_i,
error_pct_max = error_pct_max_i,
error_abs_min = error_abs_min_i,
var_exp = var_exp_i,
theil_u = theil_u_i
)
print(metricas)
## rmse mae mape error_pct_max error_abs_min var_exp theil_u
## 1 400.3888 247.9312 67.62899 820.5489 0.2615344 18.32513 0.2863585
Descomposición de theil
# Error cuadrático medio
mse <- mean((predicciones - reales)^2)
# Medias
media_pred <- mean(predicciones)
media_real <- mean(reales)
# Desviaciones estándar poblacionales
sd_pred <- sd_poblacional(predicciones)
sd_real <- sd_poblacional(reales)
# Correlación entre reales y predichos
r <- cor(predicciones, reales)
# Componentes de la descomposición
componente_sesgo <- (media_pred - media_real)^2
componente_varianza <- (sd_pred - sd_real)^2
componente_covarianza <- 2 * sd_pred * sd_real * (1 - r)