##Carga
library(wooldridge)
data("hprice1")
head(force(hprice1),n=5)
## price assess bdrms lotsize sqrft colonial lprice lassess llotsize lsqrft
## 1 300 349.1 4 6126 2438 1 5.703783 5.855359 8.720297 7.798934
## 2 370 351.5 3 9903 2076 1 5.913503 5.862210 9.200593 7.638198
## 3 191 217.7 3 5200 1374 0 5.252274 5.383118 8.556414 7.225482
## 4 195 231.8 3 4600 1448 1 5.273000 5.445875 8.433811 7.277938
## 5 373 319.1 4 6095 2514 1 5.921578 5.765504 8.715224 7.829630
library(wooldridge)
data("hprice1")
head(force(hprice1),n=5)
## price assess bdrms lotsize sqrft colonial lprice lassess llotsize lsqrft
## 1 300 349.1 4 6126 2438 1 5.703783 5.855359 8.720297 7.798934
## 2 370 351.5 3 9903 2076 1 5.913503 5.862210 9.200593 7.638198
## 3 191 217.7 3 5200 1374 0 5.252274 5.383118 8.556414 7.225482
## 4 195 231.8 3 4600 1448 1 5.273000 5.445875 8.433811 7.277938
## 5 373 319.1 4 6095 2514 1 5.921578 5.765504 8.715224 7.829630
##ESTIMACION
library(stargazer)
modelo_hrpice <- lm(formula = price ~ lotsize + sqrft + bdrms, data = hprice1)
stargazer(modelo_hrpice, title = "precios", type = "text", digits = 5)
##
## precios
## ===============================================
## Dependent variable:
## ---------------------------
## price
## -----------------------------------------------
## lotsize 0.00207***
## (0.00064)
##
## sqrft 0.12278***
## (0.01324)
##
## bdrms 13.85252
## (9.01015)
##
## Constant -21.77031
## (29.47504)
##
## -----------------------------------------------
## Observations 88
## R2 0.67236
## Adjusted R2 0.66066
## Residual Std. Error 59.83348 (df = 84)
## F Statistic 57.46023*** (df = 3; 84)
## ===============================================
## Note: *p<0.1; **p<0.05; ***p<0.01
##PRUEBA JB
library(moments)
residuosJB <- residuals(modelo_hrpice)
nJB <- length(residuosJB)
asimetriaJB <- skewness(residuosJB)
curtosisJB <- kurtosis(residuosJB)-3
JB <- nJB /6 * (asimetriaJB^2 + 1/4*curtosisJB^2)
print(JB)
## [1] 32.27791
#TABLA
library(dplyr)
##
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
##
## filter, lag
## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, union
library(gt)
library(gtExtras)
residuosJB %>%
as_tibble() %>%
mutate(posicion=row_number()) %>%
arrange(value) %>%
mutate(dist1=row_number()/n()) %>%
mutate(dist2=(row_number()-1)/n()) %>%
mutate(zi=as.vector(scale(value,center=TRUE ))) %>%
mutate(pi=pnorm(zi, lower.tail=TRUE)) %>%
mutate(dif1=abs(dist1-pi)) %>%
mutate(dif2=abs(dist2-pi)) %>%
rename(residuales=value) -> tabla_JB
#FORMATO
tabla_JB %>%
gt() %>%
tab_header("TABLA PARA CALCULAR JB")
| TABLA PARA CALCULAR JB | |||||||
| residuales | posicion | dist1 | dist2 | zi | pi | dif1 | dif2 |
|---|---|---|---|---|---|---|---|
| -120.026447 | 81 | 0.01136364 | 0.00000000 | -2.041515459 | 0.02059981 | 0.0092361731 | 0.0205998094 |
| -115.508697 | 77 | 0.02272727 | 0.01136364 | -1.964673586 | 0.02472601 | 0.0019987418 | 0.0133623781 |
| -107.080889 | 24 | 0.03409091 | 0.02272727 | -1.821326006 | 0.03427866 | 0.0001877487 | 0.0115513850 |
| -91.243980 | 48 | 0.04545455 | 0.03409091 | -1.551957925 | 0.06033615 | 0.0148816002 | 0.0262452366 |
| -85.461169 | 12 | 0.05681818 | 0.04545455 | -1.453598781 | 0.07302879 | 0.0162106057 | 0.0275742421 |
| -77.172687 | 32 | 0.06818182 | 0.05681818 | -1.312620980 | 0.09465535 | 0.0264735301 | 0.0378371665 |
| -74.702719 | 54 | 0.07954545 | 0.06818182 | -1.270609602 | 0.10193378 | 0.0223883300 | 0.0337519664 |
| -65.502849 | 39 | 0.09090909 | 0.07954545 | -1.114130117 | 0.13261169 | 0.0417025941 | 0.0530662305 |
| -63.699108 | 69 | 0.10227273 | 0.09090909 | -1.083450505 | 0.13930425 | 0.0370315271 | 0.0483951634 |
| -62.566594 | 83 | 0.11363636 | 0.10227273 | -1.064187703 | 0.14362184 | 0.0299854747 | 0.0413491110 |
| -59.845223 | 36 | 0.12500000 | 0.11363636 | -1.017900230 | 0.15436269 | 0.0293626861 | 0.0407263225 |
| -54.466158 | 13 | 0.13636364 | 0.12500000 | -0.926408352 | 0.17711690 | 0.0407532663 | 0.0521169027 |
| -54.300415 | 14 | 0.14772727 | 0.13636364 | -0.923589260 | 0.17785010 | 0.0301228311 | 0.0414864675 |
| -52.129801 | 15 | 0.15909091 | 0.14772727 | -0.886669532 | 0.18762842 | 0.0285375141 | 0.0399011505 |
| -51.441108 | 17 | 0.17045455 | 0.15909091 | -0.874955638 | 0.19079902 | 0.0203444766 | 0.0317081129 |
| -48.704980 | 47 | 0.18181818 | 0.17045455 | -0.828417174 | 0.20371714 | 0.0218989601 | 0.0332625965 |
| -48.350295 | 29 | 0.19318182 | 0.18181818 | -0.822384375 | 0.20542908 | 0.0122472664 | 0.0236109028 |
| -47.855859 | 11 | 0.20454545 | 0.19318182 | -0.813974573 | 0.20782976 | 0.0032843043 | 0.0146479407 |
| -45.639765 | 1 | 0.21590909 | 0.20454545 | -0.776281294 | 0.21879146 | 0.0028823668 | 0.0142460032 |
| -43.142550 | 9 | 0.22727273 | 0.21590909 | -0.733806463 | 0.23153335 | 0.0042606233 | 0.0156242596 |
| -41.749618 | 57 | 0.23863636 | 0.22727273 | -0.710114247 | 0.23881665 | 0.0001802823 | 0.0115439187 |
| -40.869022 | 27 | 0.25000000 | 0.23863636 | -0.695136302 | 0.24348494 | 0.0065150566 | 0.0048485798 |
| -37.749811 | 34 | 0.26136364 | 0.25000000 | -0.642082009 | 0.26040997 | 0.0009536682 | 0.0104099682 |
| -36.663785 | 71 | 0.27272727 | 0.26136364 | -0.623609925 | 0.26644190 | 0.0062853771 | 0.0050782592 |
| -36.646568 | 79 | 0.28409091 | 0.27272727 | -0.623317083 | 0.26653809 | 0.0175528221 | 0.0061891857 |
| -33.801248 | 37 | 0.29545455 | 0.28409091 | -0.574921384 | 0.28267223 | 0.0127823120 | 0.0014186757 |
| -29.766931 | 16 | 0.30681818 | 0.29545455 | -0.506302171 | 0.30632227 | 0.0004959124 | 0.0108677240 |
| -26.696234 | 22 | 0.31818182 | 0.30681818 | -0.454073044 | 0.32488813 | 0.0067063089 | 0.0180699452 |
| -24.271531 | 23 | 0.32954545 | 0.31818182 | -0.412831567 | 0.33986501 | 0.0103195566 | 0.0216831929 |
| -23.651448 | 86 | 0.34090909 | 0.32954545 | -0.402284648 | 0.34373728 | 0.0028281851 | 0.0141918214 |
| -19.683427 | 88 | 0.35227273 | 0.34090909 | -0.334793052 | 0.36889060 | 0.0166178738 | 0.0279815102 |
| -17.817835 | 10 | 0.36363636 | 0.35227273 | -0.303061413 | 0.38092153 | 0.0172851663 | 0.0286488027 |
| -16.762094 | 60 | 0.37500000 | 0.36363636 | -0.285104441 | 0.38778206 | 0.0127820638 | 0.0241457002 |
| -16.596960 | 21 | 0.38636364 | 0.37500000 | -0.282295711 | 0.38885839 | 0.0024947507 | 0.0138583870 |
| -16.271207 | 58 | 0.39772727 | 0.38636364 | -0.276755010 | 0.39098411 | 0.0067431583 | 0.0046204781 |
| -13.815798 | 56 | 0.40909091 | 0.39772727 | -0.234991254 | 0.40710776 | 0.0019831485 | 0.0093804879 |
| -13.462160 | 75 | 0.42045455 | 0.40909091 | -0.228976273 | 0.40944368 | 0.0110108666 | 0.0003527698 |
| -12.081520 | 4 | 0.43181818 | 0.42045455 | -0.205493119 | 0.41859344 | 0.0132247451 | 0.0018611087 |
| -11.629207 | 51 | 0.44318182 | 0.43181818 | -0.197799788 | 0.42160086 | 0.0215809622 | 0.0102173258 |
| -11.312669 | 74 | 0.45454545 | 0.44318182 | -0.192415834 | 0.42370825 | 0.0308372092 | 0.0194735728 |
| -8.236558 | 3 | 0.46590909 | 0.45454545 | -0.140094626 | 0.44429261 | 0.0216164775 | 0.0102528411 |
| -7.662789 | 70 | 0.47727273 | 0.46590909 | -0.130335452 | 0.44815052 | 0.0291222111 | 0.0177585748 |
| -6.752801 | 67 | 0.48863636 | 0.47727273 | -0.114857588 | 0.45427900 | 0.0343573625 | 0.0229937262 |
| -6.707262 | 31 | 0.50000000 | 0.48863636 | -0.114083016 | 0.45458599 | 0.0454140074 | 0.0340503710 |
| -6.402439 | 85 | 0.51136364 | 0.50000000 | -0.108898313 | 0.45664157 | 0.0547220642 | 0.0433584278 |
| -5.446904 | 82 | 0.52272727 | 0.51136364 | -0.092645733 | 0.46309251 | 0.0596347676 | 0.0482711313 |
| -3.537785 | 43 | 0.53409091 | 0.52272727 | -0.060173762 | 0.47600862 | 0.0580822876 | 0.0467186512 |
| -2.824941 | 61 | 0.54545455 | 0.53409091 | -0.048049090 | 0.48083856 | 0.0646159857 | 0.0532523493 |
| -2.745208 | 68 | 0.55681818 | 0.54545455 | -0.046692922 | 0.48137899 | 0.0754391961 | 0.0640755598 |
| -0.195089 | 65 | 0.56818182 | 0.55681818 | -0.003318245 | 0.49867621 | 0.0695056040 | 0.0581419676 |
| 1.399296 | 55 | 0.57954545 | 0.56818182 | 0.023800450 | 0.50949411 | 0.0700513452 | 0.0586877088 |
| 5.363331 | 26 | 0.59090909 | 0.57954545 | 0.091224254 | 0.53634280 | 0.0545662924 | 0.0432026561 |
| 6.700640 | 53 | 0.60227273 | 0.59090909 | 0.113970383 | 0.54536936 | 0.0569033628 | 0.0455397265 |
| 7.386314 | 80 | 0.61363636 | 0.60227273 | 0.125632935 | 0.54998875 | 0.0636476093 | 0.0522839730 |
| 9.099900 | 41 | 0.62500000 | 0.61363636 | 0.154779103 | 0.56150227 | 0.0634977329 | 0.0521340965 |
| 12.433611 | 46 | 0.63636364 | 0.62500000 | 0.211481796 | 0.58374433 | 0.0526193043 | 0.0412556680 |
| 16.718018 | 62 | 0.64772727 | 0.63636364 | 0.284354766 | 0.61193074 | 0.0357965328 | 0.0244328965 |
| 18.093192 | 5 | 0.65909091 | 0.64772727 | 0.307744934 | 0.62086179 | 0.0382291219 | 0.0268654856 |
| 18.801816 | 38 | 0.67045455 | 0.65909091 | 0.319797835 | 0.62543921 | 0.0450153400 | 0.0336517036 |
| 19.168108 | 33 | 0.68181818 | 0.67045455 | 0.326028052 | 0.62779843 | 0.0540197476 | 0.0426561112 |
| 19.219211 | 72 | 0.69318182 | 0.68181818 | 0.326897255 | 0.62812720 | 0.0650546167 | 0.0536909803 |
| 20.334434 | 59 | 0.70454545 | 0.69318182 | 0.345865960 | 0.63527827 | 0.0692671805 | 0.0579035442 |
| 24.909926 | 78 | 0.71590909 | 0.70454545 | 0.423689939 | 0.66410402 | 0.0518050676 | 0.0404414312 |
| 26.236229 | 40 | 0.72727273 | 0.71590909 | 0.446248874 | 0.67229126 | 0.0549814685 | 0.0436178321 |
| 30.924022 | 25 | 0.73863636 | 0.72727273 | 0.525982978 | 0.70054998 | 0.0380863808 | 0.0267227444 |
| 32.253952 | 45 | 0.75000000 | 0.73863636 | 0.548603608 | 0.70836125 | 0.0416387548 | 0.0302751184 |
| 32.529367 | 49 | 0.76136364 | 0.75000000 | 0.553288104 | 0.70996693 | 0.0513967091 | 0.0400330727 |
| 32.675968 | 18 | 0.77272727 | 0.76136364 | 0.555781630 | 0.71081993 | 0.0619073452 | 0.0505437088 |
| 33.275839 | 20 | 0.78409091 | 0.77272727 | 0.565984762 | 0.71429793 | 0.0697929786 | 0.0584293423 |
| 36.031430 | 52 | 0.79545455 | 0.78409091 | 0.612854281 | 0.73001365 | 0.0654408934 | 0.0540772571 |
| 37.147186 | 84 | 0.80681818 | 0.79545455 | 0.631832029 | 0.73625168 | 0.0705665028 | 0.0592028664 |
| 40.320875 | 7 | 0.81818182 | 0.80681818 | 0.685812928 | 0.75358446 | 0.0645973596 | 0.0532337232 |
| 44.334467 | 30 | 0.82954545 | 0.81818182 | 0.754079634 | 0.77459930 | 0.0549461574 | 0.0435825211 |
| 46.907165 | 28 | 0.84090909 | 0.82954545 | 0.797838357 | 0.78751785 | 0.0533912405 | 0.0420276041 |
| 54.418366 | 87 | 0.85227273 | 0.84090909 | 0.925595465 | 0.82267187 | 0.0296008528 | 0.0182372164 |
| 55.091131 | 35 | 0.86363636 | 0.85227273 | 0.937038450 | 0.82563061 | 0.0380057535 | 0.0266421172 |
| 55.470305 | 44 | 0.87500000 | 0.86363636 | 0.943487765 | 0.82728426 | 0.0477157353 | 0.0363520989 |
| 62.939597 | 6 | 0.88636364 | 0.87500000 | 1.070532059 | 0.85781006 | 0.0285535797 | 0.0171899433 |
| 66.478628 | 50 | 0.89772727 | 0.88636364 | 1.130727018 | 0.87091500 | 0.0268122757 | 0.0154486394 |
| 67.426518 | 63 | 0.90909091 | 0.89772727 | 1.146849569 | 0.87427810 | 0.0348128083 | 0.0234491719 |
| 67.603959 | 19 | 0.92045455 | 0.90909091 | 1.149867648 | 0.87490081 | 0.0455537393 | 0.0341901029 |
| 69.707122 | 64 | 0.93181818 | 0.92045455 | 1.185640095 | 0.88211777 | 0.0497004123 | 0.0383367759 |
| 69.843246 | 8 | 0.94318182 | 0.93181818 | 1.187955411 | 0.88257451 | 0.0606073068 | 0.0492436705 |
| 74.848732 | 2 | 0.95454545 | 0.94318182 | 1.273093116 | 0.89850750 | 0.0560379553 | 0.0446743189 |
| 112.729191 | 66 | 0.96590909 | 0.95454545 | 1.917397313 | 0.97240626 | 0.0064971714 | 0.0178608078 |
| 163.795081 | 73 | 0.97727273 | 0.96590909 | 2.785970904 | 0.99733162 | 0.0200588896 | 0.0314225260 |
| 198.660139 | 42 | 0.98863636 | 0.97727273 | 3.378986513 | 0.99963623 | 0.0109998685 | 0.0223635048 |
| 209.375830 | 76 | 1.00000000 | 0.98863636 | 3.561248407 | 0.99981545 | 0.0001845478 | 0.0111790885 |
#GRAFICO
library(fastGraph)
residuosJB_graph <- scale(modelo_hrpice$residuals)
hist(residuosJB_graph, fred= FALSE, main= "distribucion de los residuos estandarizados" ,xlab= "residuos estandarizados")
curve(dnorm (x, mean = mean(residuosJB_graph), sd=sd(residuosJB_graph)), add = TRUE, col="blue",lwd=2)
#prueba ks
residuosks <- residuals(modelo_hrpice)
n_ks <-length(residuosks)
residuosoredenadosks <- sort(residuosks)
d_plus <- max((1:n_ks )/n_ks - pnorm(residuosoredenadosks))
d_minus <- max(pnorm(residuosoredenadosks)-(0:(n_ks-1))/n_ks)
D_KS <- max(d_plus, d_minus)
print(D_KS)
## [1] 0.5537946
##TABLA
library(dplyr)
library(gt)
library(gtExtras)
residuosks %>%
as_tibble() %>%
mutate(posicion=row_number()) %>%
arrange(value) %>%
mutate(dist1=row_number()/n()) %>%
mutate(dist2=(row_number()-1/n())) %>%
mutate(zi=as.vector(scale(value,center=TRUE))) %>%
mutate(pi=pnorm(zi,lower.tail=TRUE)) %>%
mutate(dif1=abs(dist1-pi)) %>%
mutate(dif2=abs(dist2-pi)) %>%
rename(residuales=value) -> tabla_ks
tabla_ks %>%
gt() %>%
tab_header("tabla para calsular KS")
| tabla para calsular KS | |||||||
| residuales | posicion | dist1 | dist2 | zi | pi | dif1 | dif2 |
|---|---|---|---|---|---|---|---|
| -120.026447 | 81 | 0.01136364 | 0.9886364 | -2.041515459 | 0.02059981 | 0.0092361731 | 0.9680366 |
| -115.508697 | 77 | 0.02272727 | 1.9886364 | -1.964673586 | 0.02472601 | 0.0019987418 | 1.9639103 |
| -107.080889 | 24 | 0.03409091 | 2.9886364 | -1.821326006 | 0.03427866 | 0.0001877487 | 2.9543577 |
| -91.243980 | 48 | 0.04545455 | 3.9886364 | -1.551957925 | 0.06033615 | 0.0148816002 | 3.9283002 |
| -85.461169 | 12 | 0.05681818 | 4.9886364 | -1.453598781 | 0.07302879 | 0.0162106057 | 4.9156076 |
| -77.172687 | 32 | 0.06818182 | 5.9886364 | -1.312620980 | 0.09465535 | 0.0264735301 | 5.8939810 |
| -74.702719 | 54 | 0.07954545 | 6.9886364 | -1.270609602 | 0.10193378 | 0.0223883300 | 6.8867026 |
| -65.502849 | 39 | 0.09090909 | 7.9886364 | -1.114130117 | 0.13261169 | 0.0417025941 | 7.8560247 |
| -63.699108 | 69 | 0.10227273 | 8.9886364 | -1.083450505 | 0.13930425 | 0.0370315271 | 8.8493321 |
| -62.566594 | 83 | 0.11363636 | 9.9886364 | -1.064187703 | 0.14362184 | 0.0299854747 | 9.8450145 |
| -59.845223 | 36 | 0.12500000 | 10.9886364 | -1.017900230 | 0.15436269 | 0.0293626861 | 10.8342737 |
| -54.466158 | 13 | 0.13636364 | 11.9886364 | -0.926408352 | 0.17711690 | 0.0407532663 | 11.8115195 |
| -54.300415 | 14 | 0.14772727 | 12.9886364 | -0.923589260 | 0.17785010 | 0.0301228311 | 12.8107863 |
| -52.129801 | 15 | 0.15909091 | 13.9886364 | -0.886669532 | 0.18762842 | 0.0285375141 | 13.8010079 |
| -51.441108 | 17 | 0.17045455 | 14.9886364 | -0.874955638 | 0.19079902 | 0.0203444766 | 14.7978373 |
| -48.704980 | 47 | 0.18181818 | 15.9886364 | -0.828417174 | 0.20371714 | 0.0218989601 | 15.7849192 |
| -48.350295 | 29 | 0.19318182 | 16.9886364 | -0.822384375 | 0.20542908 | 0.0122472664 | 16.7832073 |
| -47.855859 | 11 | 0.20454545 | 17.9886364 | -0.813974573 | 0.20782976 | 0.0032843043 | 17.7808066 |
| -45.639765 | 1 | 0.21590909 | 18.9886364 | -0.776281294 | 0.21879146 | 0.0028823668 | 18.7698449 |
| -43.142550 | 9 | 0.22727273 | 19.9886364 | -0.733806463 | 0.23153335 | 0.0042606233 | 19.7571030 |
| -41.749618 | 57 | 0.23863636 | 20.9886364 | -0.710114247 | 0.23881665 | 0.0001802823 | 20.7498197 |
| -40.869022 | 27 | 0.25000000 | 21.9886364 | -0.695136302 | 0.24348494 | 0.0065150566 | 21.7451514 |
| -37.749811 | 34 | 0.26136364 | 22.9886364 | -0.642082009 | 0.26040997 | 0.0009536682 | 22.7282264 |
| -36.663785 | 71 | 0.27272727 | 23.9886364 | -0.623609925 | 0.26644190 | 0.0062853771 | 23.7221945 |
| -36.646568 | 79 | 0.28409091 | 24.9886364 | -0.623317083 | 0.26653809 | 0.0175528221 | 24.7220983 |
| -33.801248 | 37 | 0.29545455 | 25.9886364 | -0.574921384 | 0.28267223 | 0.0127823120 | 25.7059641 |
| -29.766931 | 16 | 0.30681818 | 26.9886364 | -0.506302171 | 0.30632227 | 0.0004959124 | 26.6823141 |
| -26.696234 | 22 | 0.31818182 | 27.9886364 | -0.454073044 | 0.32488813 | 0.0067063089 | 27.6637482 |
| -24.271531 | 23 | 0.32954545 | 28.9886364 | -0.412831567 | 0.33986501 | 0.0103195566 | 28.6487714 |
| -23.651448 | 86 | 0.34090909 | 29.9886364 | -0.402284648 | 0.34373728 | 0.0028281851 | 29.6448991 |
| -19.683427 | 88 | 0.35227273 | 30.9886364 | -0.334793052 | 0.36889060 | 0.0166178738 | 30.6197458 |
| -17.817835 | 10 | 0.36363636 | 31.9886364 | -0.303061413 | 0.38092153 | 0.0172851663 | 31.6077148 |
| -16.762094 | 60 | 0.37500000 | 32.9886364 | -0.285104441 | 0.38778206 | 0.0127820638 | 32.6008543 |
| -16.596960 | 21 | 0.38636364 | 33.9886364 | -0.282295711 | 0.38885839 | 0.0024947507 | 33.5997780 |
| -16.271207 | 58 | 0.39772727 | 34.9886364 | -0.276755010 | 0.39098411 | 0.0067431583 | 34.5976522 |
| -13.815798 | 56 | 0.40909091 | 35.9886364 | -0.234991254 | 0.40710776 | 0.0019831485 | 35.5815286 |
| -13.462160 | 75 | 0.42045455 | 36.9886364 | -0.228976273 | 0.40944368 | 0.0110108666 | 36.5791927 |
| -12.081520 | 4 | 0.43181818 | 37.9886364 | -0.205493119 | 0.41859344 | 0.0132247451 | 37.5700429 |
| -11.629207 | 51 | 0.44318182 | 38.9886364 | -0.197799788 | 0.42160086 | 0.0215809622 | 38.5670355 |
| -11.312669 | 74 | 0.45454545 | 39.9886364 | -0.192415834 | 0.42370825 | 0.0308372092 | 39.5649281 |
| -8.236558 | 3 | 0.46590909 | 40.9886364 | -0.140094626 | 0.44429261 | 0.0216164775 | 40.5443438 |
| -7.662789 | 70 | 0.47727273 | 41.9886364 | -0.130335452 | 0.44815052 | 0.0291222111 | 41.5404858 |
| -6.752801 | 67 | 0.48863636 | 42.9886364 | -0.114857588 | 0.45427900 | 0.0343573625 | 42.5343574 |
| -6.707262 | 31 | 0.50000000 | 43.9886364 | -0.114083016 | 0.45458599 | 0.0454140074 | 43.5340504 |
| -6.402439 | 85 | 0.51136364 | 44.9886364 | -0.108898313 | 0.45664157 | 0.0547220642 | 44.5319948 |
| -5.446904 | 82 | 0.52272727 | 45.9886364 | -0.092645733 | 0.46309251 | 0.0596347676 | 45.5255439 |
| -3.537785 | 43 | 0.53409091 | 46.9886364 | -0.060173762 | 0.47600862 | 0.0580822876 | 46.5126277 |
| -2.824941 | 61 | 0.54545455 | 47.9886364 | -0.048049090 | 0.48083856 | 0.0646159857 | 47.5077978 |
| -2.745208 | 68 | 0.55681818 | 48.9886364 | -0.046692922 | 0.48137899 | 0.0754391961 | 48.5072574 |
| -0.195089 | 65 | 0.56818182 | 49.9886364 | -0.003318245 | 0.49867621 | 0.0695056040 | 49.4899601 |
| 1.399296 | 55 | 0.57954545 | 50.9886364 | 0.023800450 | 0.50949411 | 0.0700513452 | 50.4791423 |
| 5.363331 | 26 | 0.59090909 | 51.9886364 | 0.091224254 | 0.53634280 | 0.0545662924 | 51.4522936 |
| 6.700640 | 53 | 0.60227273 | 52.9886364 | 0.113970383 | 0.54536936 | 0.0569033628 | 52.4432670 |
| 7.386314 | 80 | 0.61363636 | 53.9886364 | 0.125632935 | 0.54998875 | 0.0636476093 | 53.4386476 |
| 9.099900 | 41 | 0.62500000 | 54.9886364 | 0.154779103 | 0.56150227 | 0.0634977329 | 54.4271341 |
| 12.433611 | 46 | 0.63636364 | 55.9886364 | 0.211481796 | 0.58374433 | 0.0526193043 | 55.4048920 |
| 16.718018 | 62 | 0.64772727 | 56.9886364 | 0.284354766 | 0.61193074 | 0.0357965328 | 56.3767056 |
| 18.093192 | 5 | 0.65909091 | 57.9886364 | 0.307744934 | 0.62086179 | 0.0382291219 | 57.3677746 |
| 18.801816 | 38 | 0.67045455 | 58.9886364 | 0.319797835 | 0.62543921 | 0.0450153400 | 58.3631972 |
| 19.168108 | 33 | 0.68181818 | 59.9886364 | 0.326028052 | 0.62779843 | 0.0540197476 | 59.3608379 |
| 19.219211 | 72 | 0.69318182 | 60.9886364 | 0.326897255 | 0.62812720 | 0.0650546167 | 60.3605092 |
| 20.334434 | 59 | 0.70454545 | 61.9886364 | 0.345865960 | 0.63527827 | 0.0692671805 | 61.3533581 |
| 24.909926 | 78 | 0.71590909 | 62.9886364 | 0.423689939 | 0.66410402 | 0.0518050676 | 62.3245323 |
| 26.236229 | 40 | 0.72727273 | 63.9886364 | 0.446248874 | 0.67229126 | 0.0549814685 | 63.3163451 |
| 30.924022 | 25 | 0.73863636 | 64.9886364 | 0.525982978 | 0.70054998 | 0.0380863808 | 64.2880864 |
| 32.253952 | 45 | 0.75000000 | 65.9886364 | 0.548603608 | 0.70836125 | 0.0416387548 | 65.2802751 |
| 32.529367 | 49 | 0.76136364 | 66.9886364 | 0.553288104 | 0.70996693 | 0.0513967091 | 66.2786694 |
| 32.675968 | 18 | 0.77272727 | 67.9886364 | 0.555781630 | 0.71081993 | 0.0619073452 | 67.2778164 |
| 33.275839 | 20 | 0.78409091 | 68.9886364 | 0.565984762 | 0.71429793 | 0.0697929786 | 68.2743384 |
| 36.031430 | 52 | 0.79545455 | 69.9886364 | 0.612854281 | 0.73001365 | 0.0654408934 | 69.2586227 |
| 37.147186 | 84 | 0.80681818 | 70.9886364 | 0.631832029 | 0.73625168 | 0.0705665028 | 70.2523847 |
| 40.320875 | 7 | 0.81818182 | 71.9886364 | 0.685812928 | 0.75358446 | 0.0645973596 | 71.2350519 |
| 44.334467 | 30 | 0.82954545 | 72.9886364 | 0.754079634 | 0.77459930 | 0.0549461574 | 72.2140371 |
| 46.907165 | 28 | 0.84090909 | 73.9886364 | 0.797838357 | 0.78751785 | 0.0533912405 | 73.2011185 |
| 54.418366 | 87 | 0.85227273 | 74.9886364 | 0.925595465 | 0.82267187 | 0.0296008528 | 74.1659645 |
| 55.091131 | 35 | 0.86363636 | 75.9886364 | 0.937038450 | 0.82563061 | 0.0380057535 | 75.1630058 |
| 55.470305 | 44 | 0.87500000 | 76.9886364 | 0.943487765 | 0.82728426 | 0.0477157353 | 76.1613521 |
| 62.939597 | 6 | 0.88636364 | 77.9886364 | 1.070532059 | 0.85781006 | 0.0285535797 | 77.1308263 |
| 66.478628 | 50 | 0.89772727 | 78.9886364 | 1.130727018 | 0.87091500 | 0.0268122757 | 78.1177214 |
| 67.426518 | 63 | 0.90909091 | 79.9886364 | 1.146849569 | 0.87427810 | 0.0348128083 | 79.1143583 |
| 67.603959 | 19 | 0.92045455 | 80.9886364 | 1.149867648 | 0.87490081 | 0.0455537393 | 80.1137356 |
| 69.707122 | 64 | 0.93181818 | 81.9886364 | 1.185640095 | 0.88211777 | 0.0497004123 | 81.1065186 |
| 69.843246 | 8 | 0.94318182 | 82.9886364 | 1.187955411 | 0.88257451 | 0.0606073068 | 82.1060619 |
| 74.848732 | 2 | 0.95454545 | 83.9886364 | 1.273093116 | 0.89850750 | 0.0560379553 | 83.0901289 |
| 112.729191 | 66 | 0.96590909 | 84.9886364 | 1.917397313 | 0.97240626 | 0.0064971714 | 84.0162301 |
| 163.795081 | 73 | 0.97727273 | 85.9886364 | 2.785970904 | 0.99733162 | 0.0200588896 | 84.9913047 |
| 198.660139 | 42 | 0.98863636 | 86.9886364 | 3.378986513 | 0.99963623 | 0.0109998685 | 85.9890001 |
| 209.375830 | 76 | 1.00000000 | 87.9886364 | 3.561248407 | 0.99981545 | 0.0001845478 | 86.9888209 |
residuos_sw <- residuals(modelo_hrpice)
n_sw <- length(residuos_sw)
SW <- shapiro.test(residuos_sw)$statistic
print(SW)
## W
## 0.9413208
library(dplyr)
library(gt)
library(gtExtras)
residuos_sw %>%
as_tibble() %>%
mutate(posicion=row_number()) %>%
arrange(value) %>%
mutate(dist1=row_number()/n()) %>%
mutate(dist2=(row_number()-1/n())) %>%
mutate(zi=as.vector(scale(value,center=TRUE))) %>%
mutate(pi=pnorm(zi,lower.tail = TRUE)) %>%
mutate(dif1=abs(dist1-pi)) %>%
mutate(dist2=abs(dist2-pi)) %>%
rename(residuales=value) -> tabla_sw
tabla_sw %>%
gt() %>%
tab_header("tabla para calsular sw")
| tabla para calsular sw | ||||||
| residuales | posicion | dist1 | dist2 | zi | pi | dif1 |
|---|---|---|---|---|---|---|
| -120.026447 | 81 | 0.01136364 | 0.9680366 | -2.041515459 | 0.02059981 | 0.0092361731 |
| -115.508697 | 77 | 0.02272727 | 1.9639103 | -1.964673586 | 0.02472601 | 0.0019987418 |
| -107.080889 | 24 | 0.03409091 | 2.9543577 | -1.821326006 | 0.03427866 | 0.0001877487 |
| -91.243980 | 48 | 0.04545455 | 3.9283002 | -1.551957925 | 0.06033615 | 0.0148816002 |
| -85.461169 | 12 | 0.05681818 | 4.9156076 | -1.453598781 | 0.07302879 | 0.0162106057 |
| -77.172687 | 32 | 0.06818182 | 5.8939810 | -1.312620980 | 0.09465535 | 0.0264735301 |
| -74.702719 | 54 | 0.07954545 | 6.8867026 | -1.270609602 | 0.10193378 | 0.0223883300 |
| -65.502849 | 39 | 0.09090909 | 7.8560247 | -1.114130117 | 0.13261169 | 0.0417025941 |
| -63.699108 | 69 | 0.10227273 | 8.8493321 | -1.083450505 | 0.13930425 | 0.0370315271 |
| -62.566594 | 83 | 0.11363636 | 9.8450145 | -1.064187703 | 0.14362184 | 0.0299854747 |
| -59.845223 | 36 | 0.12500000 | 10.8342737 | -1.017900230 | 0.15436269 | 0.0293626861 |
| -54.466158 | 13 | 0.13636364 | 11.8115195 | -0.926408352 | 0.17711690 | 0.0407532663 |
| -54.300415 | 14 | 0.14772727 | 12.8107863 | -0.923589260 | 0.17785010 | 0.0301228311 |
| -52.129801 | 15 | 0.15909091 | 13.8010079 | -0.886669532 | 0.18762842 | 0.0285375141 |
| -51.441108 | 17 | 0.17045455 | 14.7978373 | -0.874955638 | 0.19079902 | 0.0203444766 |
| -48.704980 | 47 | 0.18181818 | 15.7849192 | -0.828417174 | 0.20371714 | 0.0218989601 |
| -48.350295 | 29 | 0.19318182 | 16.7832073 | -0.822384375 | 0.20542908 | 0.0122472664 |
| -47.855859 | 11 | 0.20454545 | 17.7808066 | -0.813974573 | 0.20782976 | 0.0032843043 |
| -45.639765 | 1 | 0.21590909 | 18.7698449 | -0.776281294 | 0.21879146 | 0.0028823668 |
| -43.142550 | 9 | 0.22727273 | 19.7571030 | -0.733806463 | 0.23153335 | 0.0042606233 |
| -41.749618 | 57 | 0.23863636 | 20.7498197 | -0.710114247 | 0.23881665 | 0.0001802823 |
| -40.869022 | 27 | 0.25000000 | 21.7451514 | -0.695136302 | 0.24348494 | 0.0065150566 |
| -37.749811 | 34 | 0.26136364 | 22.7282264 | -0.642082009 | 0.26040997 | 0.0009536682 |
| -36.663785 | 71 | 0.27272727 | 23.7221945 | -0.623609925 | 0.26644190 | 0.0062853771 |
| -36.646568 | 79 | 0.28409091 | 24.7220983 | -0.623317083 | 0.26653809 | 0.0175528221 |
| -33.801248 | 37 | 0.29545455 | 25.7059641 | -0.574921384 | 0.28267223 | 0.0127823120 |
| -29.766931 | 16 | 0.30681818 | 26.6823141 | -0.506302171 | 0.30632227 | 0.0004959124 |
| -26.696234 | 22 | 0.31818182 | 27.6637482 | -0.454073044 | 0.32488813 | 0.0067063089 |
| -24.271531 | 23 | 0.32954545 | 28.6487714 | -0.412831567 | 0.33986501 | 0.0103195566 |
| -23.651448 | 86 | 0.34090909 | 29.6448991 | -0.402284648 | 0.34373728 | 0.0028281851 |
| -19.683427 | 88 | 0.35227273 | 30.6197458 | -0.334793052 | 0.36889060 | 0.0166178738 |
| -17.817835 | 10 | 0.36363636 | 31.6077148 | -0.303061413 | 0.38092153 | 0.0172851663 |
| -16.762094 | 60 | 0.37500000 | 32.6008543 | -0.285104441 | 0.38778206 | 0.0127820638 |
| -16.596960 | 21 | 0.38636364 | 33.5997780 | -0.282295711 | 0.38885839 | 0.0024947507 |
| -16.271207 | 58 | 0.39772727 | 34.5976522 | -0.276755010 | 0.39098411 | 0.0067431583 |
| -13.815798 | 56 | 0.40909091 | 35.5815286 | -0.234991254 | 0.40710776 | 0.0019831485 |
| -13.462160 | 75 | 0.42045455 | 36.5791927 | -0.228976273 | 0.40944368 | 0.0110108666 |
| -12.081520 | 4 | 0.43181818 | 37.5700429 | -0.205493119 | 0.41859344 | 0.0132247451 |
| -11.629207 | 51 | 0.44318182 | 38.5670355 | -0.197799788 | 0.42160086 | 0.0215809622 |
| -11.312669 | 74 | 0.45454545 | 39.5649281 | -0.192415834 | 0.42370825 | 0.0308372092 |
| -8.236558 | 3 | 0.46590909 | 40.5443438 | -0.140094626 | 0.44429261 | 0.0216164775 |
| -7.662789 | 70 | 0.47727273 | 41.5404858 | -0.130335452 | 0.44815052 | 0.0291222111 |
| -6.752801 | 67 | 0.48863636 | 42.5343574 | -0.114857588 | 0.45427900 | 0.0343573625 |
| -6.707262 | 31 | 0.50000000 | 43.5340504 | -0.114083016 | 0.45458599 | 0.0454140074 |
| -6.402439 | 85 | 0.51136364 | 44.5319948 | -0.108898313 | 0.45664157 | 0.0547220642 |
| -5.446904 | 82 | 0.52272727 | 45.5255439 | -0.092645733 | 0.46309251 | 0.0596347676 |
| -3.537785 | 43 | 0.53409091 | 46.5126277 | -0.060173762 | 0.47600862 | 0.0580822876 |
| -2.824941 | 61 | 0.54545455 | 47.5077978 | -0.048049090 | 0.48083856 | 0.0646159857 |
| -2.745208 | 68 | 0.55681818 | 48.5072574 | -0.046692922 | 0.48137899 | 0.0754391961 |
| -0.195089 | 65 | 0.56818182 | 49.4899601 | -0.003318245 | 0.49867621 | 0.0695056040 |
| 1.399296 | 55 | 0.57954545 | 50.4791423 | 0.023800450 | 0.50949411 | 0.0700513452 |
| 5.363331 | 26 | 0.59090909 | 51.4522936 | 0.091224254 | 0.53634280 | 0.0545662924 |
| 6.700640 | 53 | 0.60227273 | 52.4432670 | 0.113970383 | 0.54536936 | 0.0569033628 |
| 7.386314 | 80 | 0.61363636 | 53.4386476 | 0.125632935 | 0.54998875 | 0.0636476093 |
| 9.099900 | 41 | 0.62500000 | 54.4271341 | 0.154779103 | 0.56150227 | 0.0634977329 |
| 12.433611 | 46 | 0.63636364 | 55.4048920 | 0.211481796 | 0.58374433 | 0.0526193043 |
| 16.718018 | 62 | 0.64772727 | 56.3767056 | 0.284354766 | 0.61193074 | 0.0357965328 |
| 18.093192 | 5 | 0.65909091 | 57.3677746 | 0.307744934 | 0.62086179 | 0.0382291219 |
| 18.801816 | 38 | 0.67045455 | 58.3631972 | 0.319797835 | 0.62543921 | 0.0450153400 |
| 19.168108 | 33 | 0.68181818 | 59.3608379 | 0.326028052 | 0.62779843 | 0.0540197476 |
| 19.219211 | 72 | 0.69318182 | 60.3605092 | 0.326897255 | 0.62812720 | 0.0650546167 |
| 20.334434 | 59 | 0.70454545 | 61.3533581 | 0.345865960 | 0.63527827 | 0.0692671805 |
| 24.909926 | 78 | 0.71590909 | 62.3245323 | 0.423689939 | 0.66410402 | 0.0518050676 |
| 26.236229 | 40 | 0.72727273 | 63.3163451 | 0.446248874 | 0.67229126 | 0.0549814685 |
| 30.924022 | 25 | 0.73863636 | 64.2880864 | 0.525982978 | 0.70054998 | 0.0380863808 |
| 32.253952 | 45 | 0.75000000 | 65.2802751 | 0.548603608 | 0.70836125 | 0.0416387548 |
| 32.529367 | 49 | 0.76136364 | 66.2786694 | 0.553288104 | 0.70996693 | 0.0513967091 |
| 32.675968 | 18 | 0.77272727 | 67.2778164 | 0.555781630 | 0.71081993 | 0.0619073452 |
| 33.275839 | 20 | 0.78409091 | 68.2743384 | 0.565984762 | 0.71429793 | 0.0697929786 |
| 36.031430 | 52 | 0.79545455 | 69.2586227 | 0.612854281 | 0.73001365 | 0.0654408934 |
| 37.147186 | 84 | 0.80681818 | 70.2523847 | 0.631832029 | 0.73625168 | 0.0705665028 |
| 40.320875 | 7 | 0.81818182 | 71.2350519 | 0.685812928 | 0.75358446 | 0.0645973596 |
| 44.334467 | 30 | 0.82954545 | 72.2140371 | 0.754079634 | 0.77459930 | 0.0549461574 |
| 46.907165 | 28 | 0.84090909 | 73.2011185 | 0.797838357 | 0.78751785 | 0.0533912405 |
| 54.418366 | 87 | 0.85227273 | 74.1659645 | 0.925595465 | 0.82267187 | 0.0296008528 |
| 55.091131 | 35 | 0.86363636 | 75.1630058 | 0.937038450 | 0.82563061 | 0.0380057535 |
| 55.470305 | 44 | 0.87500000 | 76.1613521 | 0.943487765 | 0.82728426 | 0.0477157353 |
| 62.939597 | 6 | 0.88636364 | 77.1308263 | 1.070532059 | 0.85781006 | 0.0285535797 |
| 66.478628 | 50 | 0.89772727 | 78.1177214 | 1.130727018 | 0.87091500 | 0.0268122757 |
| 67.426518 | 63 | 0.90909091 | 79.1143583 | 1.146849569 | 0.87427810 | 0.0348128083 |
| 67.603959 | 19 | 0.92045455 | 80.1137356 | 1.149867648 | 0.87490081 | 0.0455537393 |
| 69.707122 | 64 | 0.93181818 | 81.1065186 | 1.185640095 | 0.88211777 | 0.0497004123 |
| 69.843246 | 8 | 0.94318182 | 82.1060619 | 1.187955411 | 0.88257451 | 0.0606073068 |
| 74.848732 | 2 | 0.95454545 | 83.0901289 | 1.273093116 | 0.89850750 | 0.0560379553 |
| 112.729191 | 66 | 0.96590909 | 84.0162301 | 1.917397313 | 0.97240626 | 0.0064971714 |
| 163.795081 | 73 | 0.97727273 | 84.9913047 | 2.785970904 | 0.99733162 | 0.0200588896 |
| 198.660139 | 42 | 0.98863636 | 85.9890001 | 3.378986513 | 0.99963623 | 0.0109998685 |
| 209.375830 | 76 | 1.00000000 | 86.9888209 | 3.561248407 | 0.99981545 | 0.0001845478 |
#GRAFICO
library(fastGraph)
residuossw_graph <- scale(modelo_hrpice$residuals)
hist(residuossw_graph, freq=FALSE, main="distribucion de los residuos estandarizados")
curve(dnorm(x, mean=mean(residuossw_graph),sd=sd(residuossw_graph)),add=TRUE, col="blue", lwd=2)