Panel Model (CEM-FEM-REM)

2023-03-12

Call Package

lapply(c("readxl","plm","lmtest","dplyr","tseries","caret","broom","lmerTest","kableExtra"),library,character.only=T)[[1]]
## [1] "readxl"    "stats"     "graphics"  "grDevices" "utils"     "datasets" 
## [7] "methods"   "base"

Common Effect Model WLS

data<-read_excel("D:/Users/Documents/ADP/full_grouped.xlsx")
w<-1/data$Recovered
w<-ifelse(w==Inf,mean(w[which(w!=Inf)]),w)
wls<-lm(Deaths~Confirmed+Recovered+New.cases,
        data=data,weights=w,
        index=c("WHO.Region","Date"));summary(wls)
## Warning: In lm.wfit(x, y, w, offset = offset, singular.ok = singular.ok, 
##     ...) :
##  extra argument 'index' will be disregarded
## 
## Call:
## lm(formula = Deaths ~ Confirmed + Recovered + New.cases, data = data, 
##     weights = w, index = c("WHO.Region", "Date"))
## 
## Weighted Residuals:
##     Min      1Q  Median      3Q     Max 
## -390.44   -1.61    0.73    0.94  537.54 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -3.547144   0.712016  -4.982 6.33e-07 ***
## Confirmed    0.087075   0.000136 640.105  < 2e-16 ***
## Recovered   -0.060971   0.001796 -33.949  < 2e-16 ***
## New.cases   -0.298977   0.006635 -45.062  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 34.97 on 35152 degrees of freedom
## Multiple R-squared:  0.9361, Adjusted R-squared:  0.9361 
## F-statistic: 1.716e+05 on 3 and 35152 DF,  p-value: < 2.2e-16

Fixed Effect Within Model

fe<-plm(Deaths~Confirmed+Recovered+New.cases,data=data,model="within",
        index=c("WHO.Region","Date"));summary(fe)
## Oneway (individual) effect Within Model
## 
## Call:
## plm(formula = Deaths ~ Confirmed + Recovered + New.cases, data = data, 
##     model = "within", index = c("WHO.Region", "Date"))
## 
## Balanced Panel: n = 6, T = 188, N = 35156
## 
## Residuals:
##       Min.    1st Qu.     Median    3rd Qu.       Max. 
## -66799.772   -768.456    -64.485     31.606  29853.518 
## 
## Coefficients:
##              Estimate  Std. Error t-value  Pr(>|t|)    
## Confirmed  0.06644544  0.00029206 227.503 < 2.2e-16 ***
## Recovered -0.03027987  0.00051674 -58.598 < 2.2e-16 ***
## New.cases -0.54035116  0.01113208 -48.540 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Total Sum of Squares:    1.9035e+12
## Residual Sum of Squares: 2.7343e+11
## R-Squared:      0.85635
## Adj. R-Squared: 0.85632
## F-statistic: 69842.4 on 3 and 35147 DF, p-value: < 2.22e-16
library(tseries)

Fixed Effect LSDV Model Without Intercept

lsdv<-lm(Deaths~Confirmed+Recovered+New.cases+factor(Date)+factor(WHO.Region)-1,
   data=data,na.action = na.omit,
   index=c("WHO.Region","Date"))
summary(lsdv)
## 
## Call:
## lm(formula = Deaths ~ Confirmed + Recovered + New.cases + factor(Date) + 
##     factor(WHO.Region) - 1, data = data, na.action = na.omit, 
##     index = c("WHO.Region", "Date"))
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -66026   -555   -200    202  30052 
## 
## Coefficients:
##                                           Estimate Std. Error t value Pr(>|t|)
## Confirmed                                6.637e-02  2.923e-04 227.066  < 2e-16
## Recovered                               -3.017e-02  5.234e-04 -57.640  < 2e-16
## New.cases                               -5.434e-01  1.118e-02 -48.597  < 2e-16
## factor(Date)2020-01-22                  -2.890e+02  2.054e+02  -1.407  0.15941
## factor(Date)2020-01-23                  -2.888e+02  2.054e+02  -1.406  0.15978
## factor(Date)2020-01-24                  -2.883e+02  2.054e+02  -1.403  0.16049
## factor(Date)2020-01-25                  -2.878e+02  2.054e+02  -1.401  0.16123
## factor(Date)2020-01-26                  -2.874e+02  2.054e+02  -1.399  0.16180
## factor(Date)2020-01-27                  -2.871e+02  2.054e+02  -1.398  0.16212
## factor(Date)2020-01-28                  -2.825e+02  2.054e+02  -1.375  0.16907
## factor(Date)2020-01-29                  -2.887e+02  2.054e+02  -1.405  0.15992
## factor(Date)2020-01-30                  -2.849e+02  2.054e+02  -1.387  0.16545
## factor(Date)2020-01-31                  -2.863e+02  2.054e+02  -1.394  0.16330
## factor(Date)2020-02-01                  -2.856e+02  2.054e+02  -1.391  0.16437
## factor(Date)2020-02-02                  -2.791e+02  2.054e+02  -1.359  0.17428
## factor(Date)2020-02-03                  -2.846e+02  2.054e+02  -1.386  0.16590
## factor(Date)2020-02-04                  -2.830e+02  2.054e+02  -1.378  0.16831
## factor(Date)2020-02-05                  -2.846e+02  2.054e+02  -1.386  0.16580
## factor(Date)2020-02-06                  -2.870e+02  2.054e+02  -1.397  0.16227
## factor(Date)2020-02-07                  -2.867e+02  2.054e+02  -1.396  0.16280
## factor(Date)2020-02-08                  -2.894e+02  2.054e+02  -1.409  0.15883
## factor(Date)2020-02-09                  -2.890e+02  2.054e+02  -1.407  0.15942
## factor(Date)2020-02-10                  -2.906e+02  2.054e+02  -1.415  0.15706
## factor(Date)2020-02-11                  -2.922e+02  2.054e+02  -1.422  0.15490
## factor(Date)2020-02-12                  -2.932e+02  2.054e+02  -1.427  0.15346
## factor(Date)2020-02-13                  -2.623e+02  2.054e+02  -1.277  0.20154
## factor(Date)2020-02-14                  -2.844e+02  2.054e+02  -1.384  0.16623
## factor(Date)2020-02-15                  -2.969e+02  2.054e+02  -1.446  0.14827
## factor(Date)2020-02-16                  -2.968e+02  2.054e+02  -1.445  0.14848
## factor(Date)2020-02-17                  -2.972e+02  2.054e+02  -1.447  0.14791
## factor(Date)2020-02-18                  -2.972e+02  2.054e+02  -1.447  0.14788
## factor(Date)2020-02-19                  -3.005e+02  2.054e+02  -1.463  0.14350
## factor(Date)2020-02-20                  -2.993e+02  2.054e+02  -1.457  0.14504
## factor(Date)2020-02-21                  -2.992e+02  2.054e+02  -1.457  0.14521
## factor(Date)2020-02-22                  -2.948e+02  2.054e+02  -1.435  0.15122
## factor(Date)2020-02-23                  -2.990e+02  2.054e+02  -1.456  0.14552
## factor(Date)2020-02-24                  -2.973e+02  2.054e+02  -1.448  0.14774
## factor(Date)2020-02-25                  -2.959e+02  2.054e+02  -1.441  0.14964
## factor(Date)2020-02-26                  -2.953e+02  2.054e+02  -1.437  0.15059
## factor(Date)2020-02-27                  -2.939e+02  2.054e+02  -1.431  0.15249
## factor(Date)2020-02-28                  -2.935e+02  2.054e+02  -1.429  0.15305
## factor(Date)2020-02-29                  -2.918e+02  2.054e+02  -1.421  0.15543
## factor(Date)2020-03-01                  -2.905e+02  2.054e+02  -1.414  0.15732
## factor(Date)2020-03-02                  -2.914e+02  2.054e+02  -1.419  0.15596
## factor(Date)2020-03-03                  -2.898e+02  2.054e+02  -1.411  0.15833
## factor(Date)2020-03-04                  -2.904e+02  2.054e+02  -1.414  0.15741
## factor(Date)2020-03-05                  -2.890e+02  2.054e+02  -1.407  0.15936
## factor(Date)2020-03-06                  -2.862e+02  2.054e+02  -1.393  0.16355
## factor(Date)2020-03-07                  -2.864e+02  2.054e+02  -1.394  0.16322
## factor(Date)2020-03-08                  -2.864e+02  2.054e+02  -1.394  0.16327
## factor(Date)2020-03-09                  -2.866e+02  2.054e+02  -1.395  0.16288
## factor(Date)2020-03-10                  -2.833e+02  2.054e+02  -1.379  0.16775
## factor(Date)2020-03-11                  -2.762e+02  2.054e+02  -1.345  0.17875
## factor(Date)2020-03-12                  -2.819e+02  2.054e+02  -1.373  0.16987
## factor(Date)2020-03-13                  -2.589e+02  2.054e+02  -1.261  0.20745
## factor(Date)2020-03-14                  -2.698e+02  2.054e+02  -1.314  0.18893
## factor(Date)2020-03-15                  -2.697e+02  2.054e+02  -1.313  0.18916
## factor(Date)2020-03-16                  -2.607e+02  2.054e+02  -1.269  0.20430
## factor(Date)2020-03-17                  -2.582e+02  2.054e+02  -1.257  0.20876
## factor(Date)2020-03-18                  -2.490e+02  2.054e+02  -1.213  0.22533
## factor(Date)2020-03-19                  -2.286e+02  2.054e+02  -1.113  0.26582
## factor(Date)2020-03-20                  -2.259e+02  2.054e+02  -1.100  0.27151
## factor(Date)2020-03-21                  -2.197e+02  2.054e+02  -1.070  0.28485
## factor(Date)2020-03-22                  -2.182e+02  2.054e+02  -1.063  0.28799
## factor(Date)2020-03-23                  -1.974e+02  2.054e+02  -0.961  0.33644
## factor(Date)2020-03-24                  -2.013e+02  2.054e+02  -0.980  0.32705
## factor(Date)2020-03-25                  -1.755e+02  2.054e+02  -0.855  0.39279
## factor(Date)2020-03-26                  -1.452e+02  2.054e+02  -0.707  0.47976
## factor(Date)2020-03-27                  -1.436e+02  2.054e+02  -0.699  0.48446
## factor(Date)2020-03-28                  -1.372e+02  2.054e+02  -0.668  0.50434
## factor(Date)2020-03-29                  -1.617e+02  2.054e+02  -0.787  0.43122
## factor(Date)2020-03-30                  -1.452e+02  2.054e+02  -0.707  0.47980
## factor(Date)2020-03-31                  -1.101e+02  2.054e+02  -0.536  0.59182
## factor(Date)2020-04-01                  -1.056e+02  2.054e+02  -0.514  0.60714
## factor(Date)2020-04-02                  -8.305e+01  2.054e+02  -0.404  0.68603
## factor(Date)2020-04-03                  -7.303e+01  2.054e+02  -0.355  0.72222
## factor(Date)2020-04-04                  -7.494e+01  2.054e+02  -0.365  0.71524
## factor(Date)2020-04-05                  -9.680e+01  2.054e+02  -0.471  0.63748
## factor(Date)2020-04-06                  -8.600e+01  2.054e+02  -0.419  0.67548
## factor(Date)2020-04-07                  -5.513e+01  2.054e+02  -0.268  0.78842
## factor(Date)2020-04-08                  -2.421e+01  2.054e+02  -0.118  0.90618
## factor(Date)2020-04-09                  -1.949e+00  2.054e+02  -0.009  0.99243
## factor(Date)2020-04-10                   1.224e+01  2.054e+02   0.060  0.95249
## factor(Date)2020-04-11                  -9.580e+00  2.054e+02  -0.047  0.96280
## factor(Date)2020-04-12                   4.741e+01  2.054e+02   0.231  0.81748
## factor(Date)2020-04-13                  -2.134e+01  2.054e+02  -0.104  0.91724
## factor(Date)2020-04-14                  -4.334e+00  2.054e+02  -0.021  0.98317
## factor(Date)2020-04-15                   4.890e+01  2.054e+02   0.238  0.81182
## factor(Date)2020-04-16                   1.045e+02  2.054e+02   0.509  0.61082
## factor(Date)2020-04-17                   9.890e+01  2.054e+02   0.481  0.63018
## factor(Date)2020-04-18                   7.105e+01  2.054e+02   0.346  0.72943
## factor(Date)2020-04-19                   9.095e+01  2.054e+02   0.443  0.65793
## factor(Date)2020-04-20                   7.659e+01  2.054e+02   0.373  0.70925
## factor(Date)2020-04-21                   9.922e+01  2.054e+02   0.483  0.62906
## factor(Date)2020-04-22                   1.237e+02  2.054e+02   0.602  0.54712
## factor(Date)2020-04-23                   1.624e+02  2.054e+02   0.791  0.42911
## factor(Date)2020-04-24                   1.984e+02  2.054e+02   0.966  0.33412
## factor(Date)2020-04-25                   1.674e+02  2.054e+02   0.815  0.41499
## factor(Date)2020-04-26                   1.320e+02  2.054e+02   0.642  0.52059
## factor(Date)2020-04-27                   1.244e+02  2.054e+02   0.605  0.54487
## factor(Date)2020-04-28                   1.569e+02  2.054e+02   0.764  0.44500
## factor(Date)2020-04-29                   1.844e+02  2.054e+02   0.898  0.36924
## factor(Date)2020-04-30                   2.089e+02  2.054e+02   1.017  0.30915
## factor(Date)2020-05-01                   2.214e+02  2.054e+02   1.078  0.28105
## factor(Date)2020-05-02                   2.122e+02  2.054e+02   1.033  0.30146
## factor(Date)2020-05-03                   1.959e+02  2.054e+02   0.954  0.34012
## factor(Date)2020-05-04                   1.918e+02  2.054e+02   0.934  0.35041
## factor(Date)2020-05-05                   2.119e+02  2.054e+02   1.032  0.30219
## factor(Date)2020-05-06                   2.520e+02  2.054e+02   1.227  0.21986
## factor(Date)2020-05-07                   2.574e+02  2.054e+02   1.253  0.21016
## factor(Date)2020-05-08                   2.672e+02  2.054e+02   1.301  0.19332
## factor(Date)2020-05-09                   2.472e+02  2.054e+02   1.204  0.22874
## factor(Date)2020-05-10                   2.166e+02  2.054e+02   1.055  0.29155
## factor(Date)2020-05-11                   2.157e+02  2.054e+02   1.050  0.29361
## factor(Date)2020-05-12                   2.428e+02  2.054e+02   1.182  0.23718
## factor(Date)2020-05-13                   2.533e+02  2.054e+02   1.233  0.21755
## factor(Date)2020-05-14                   2.887e+02  2.054e+02   1.405  0.15991
## factor(Date)2020-05-15                   2.878e+02  2.054e+02   1.401  0.16122
## factor(Date)2020-05-16                   2.825e+02  2.054e+02   1.375  0.16907
## factor(Date)2020-05-17                   2.297e+02  2.054e+02   1.119  0.26331
## factor(Date)2020-05-18                   2.528e+02  2.054e+02   1.231  0.21830
## factor(Date)2020-05-19                   2.768e+02  2.054e+02   1.347  0.17784
## factor(Date)2020-05-20                   2.943e+02  2.054e+02   1.433  0.15192
## factor(Date)2020-05-21                   3.002e+02  2.054e+02   1.461  0.14390
## factor(Date)2020-05-22                   3.092e+02  2.054e+02   1.506  0.13220
## factor(Date)2020-05-23                   2.973e+02  2.054e+02   1.447  0.14783
## factor(Date)2020-05-24                   2.601e+02  2.054e+02   1.266  0.20540
## factor(Date)2020-05-25                   2.225e+02  2.054e+02   1.083  0.27873
## factor(Date)2020-05-26                   2.366e+02  2.054e+02   1.152  0.24930
## factor(Date)2020-05-27                   2.668e+02  2.054e+02   1.299  0.19392
## factor(Date)2020-05-28                   3.089e+02  2.054e+02   1.504  0.13265
## factor(Date)2020-05-29                   3.089e+02  2.054e+02   1.504  0.13258
## factor(Date)2020-05-30                   3.419e+02  2.054e+02   1.665  0.09598
## factor(Date)2020-05-31                   2.434e+02  2.054e+02   1.185  0.23600
## factor(Date)2020-06-01                   1.988e+02  2.054e+02   0.968  0.33305
## factor(Date)2020-06-02                   2.751e+02  2.054e+02   1.339  0.18045
## factor(Date)2020-06-03                   2.688e+02  2.054e+02   1.309  0.19062
## factor(Date)2020-06-04                   2.844e+02  2.054e+02   1.385  0.16614
## factor(Date)2020-06-05                   2.859e+02  2.054e+02   1.392  0.16389
## factor(Date)2020-06-06                   2.847e+02  2.054e+02   1.386  0.16574
## factor(Date)2020-06-07                   1.995e+02  2.054e+02   0.971  0.33148
## factor(Date)2020-06-08                   1.781e+02  2.054e+02   0.867  0.38577
## factor(Date)2020-06-09                   2.378e+02  2.054e+02   1.158  0.24705
## factor(Date)2020-06-10                   2.588e+02  2.054e+02   1.260  0.20775
## factor(Date)2020-06-11                   2.609e+02  2.054e+02   1.270  0.20408
## factor(Date)2020-06-12                   2.245e+02  2.054e+02   1.093  0.27435
## factor(Date)2020-06-13                   2.327e+02  2.054e+02   1.133  0.25716
## factor(Date)2020-06-14                   2.072e+02  2.054e+02   1.009  0.31310
## factor(Date)2020-06-15                   1.558e+02  2.054e+02   0.759  0.44814
## factor(Date)2020-06-16                   2.213e+02  2.054e+02   1.077  0.28129
## factor(Date)2020-06-17                   2.193e+02  2.054e+02   1.068  0.28566
## factor(Date)2020-06-18                   2.040e+02  2.054e+02   0.993  0.32074
## factor(Date)2020-06-19                   3.078e+02  2.054e+02   1.498  0.13402
## factor(Date)2020-06-20                   2.252e+02  2.054e+02   1.096  0.27293
## factor(Date)2020-06-21                   1.275e+02  2.054e+02   0.621  0.53491
## factor(Date)2020-06-22                   1.394e+02  2.054e+02   0.679  0.49727
## factor(Date)2020-06-23                   2.057e+02  2.054e+02   1.002  0.31656
## factor(Date)2020-06-24                   2.087e+02  2.054e+02   1.016  0.30963
## factor(Date)2020-06-25                   2.154e+02  2.054e+02   1.049  0.29436
## factor(Date)2020-06-26                   2.296e+02  2.054e+02   1.118  0.26376
## factor(Date)2020-06-27                   1.690e+02  2.054e+02   0.823  0.41071
## factor(Date)2020-06-28                   9.667e+01  2.054e+02   0.471  0.63796
## factor(Date)2020-06-29                   6.446e+01  2.054e+02   0.314  0.75369
## factor(Date)2020-06-30                   9.360e+01  2.054e+02   0.456  0.64868
## factor(Date)2020-07-01                   1.890e+02  2.054e+02   0.920  0.35746
## factor(Date)2020-07-02                   1.596e+02  2.054e+02   0.777  0.43732
## factor(Date)2020-07-03                   1.195e+02  2.054e+02   0.582  0.56083
## factor(Date)2020-07-04                   7.684e+01  2.055e+02   0.374  0.70843
## factor(Date)2020-07-05                   1.805e+01  2.055e+02   0.088  0.93000
## factor(Date)2020-07-06                  -4.577e+01  2.055e+02  -0.223  0.82373
## factor(Date)2020-07-07                   6.183e+01  2.055e+02   0.301  0.76350
## factor(Date)2020-07-08                   4.329e+01  2.055e+02   0.211  0.83313
## factor(Date)2020-07-09                   6.087e+01  2.055e+02   0.296  0.76707
## factor(Date)2020-07-10                   4.179e+01  2.055e+02   0.203  0.83883
## factor(Date)2020-07-11                  -3.578e+01  2.055e+02  -0.174  0.86180
## factor(Date)2020-07-12                  -1.338e+02  2.055e+02  -0.651  0.51507
## factor(Date)2020-07-13                  -1.589e+02  2.055e+02  -0.773  0.43945
## factor(Date)2020-07-14                  -1.010e+02  2.055e+02  -0.492  0.62301
## factor(Date)2020-07-15                  -9.986e+01  2.055e+02  -0.486  0.62706
## factor(Date)2020-07-16                  -7.171e+01  2.055e+02  -0.349  0.72715
## factor(Date)2020-07-17                  -1.264e+02  2.055e+02  -0.615  0.53874
## factor(Date)2020-07-18                  -1.691e+02  2.056e+02  -0.822  0.41080
## factor(Date)2020-07-19                  -2.764e+02  2.056e+02  -1.344  0.17885
## factor(Date)2020-07-20                  -3.248e+02  2.056e+02  -1.580  0.11418
## factor(Date)2020-07-21                  -2.683e+02  2.056e+02  -1.305  0.19183
## factor(Date)2020-07-22                  -1.653e+02  2.056e+02  -0.804  0.42127
## factor(Date)2020-07-23                  -1.789e+02  2.056e+02  -0.870  0.38426
## factor(Date)2020-07-24                  -2.135e+02  2.056e+02  -1.039  0.29901
## factor(Date)2020-07-25                  -3.173e+02  2.056e+02  -1.543  0.12282
## factor(Date)2020-07-26                  -4.943e+02  2.057e+02  -2.403  0.01628
## factor(Date)2020-07-27                  -4.483e+02  2.057e+02  -2.180  0.02930
## factor(WHO.Region)Americas               3.658e+02  4.564e+01   8.016 1.13e-15
## factor(WHO.Region)Eastern Mediterranean -1.467e+02  5.241e+01  -2.798  0.00514
## factor(WHO.Region)Europe                 8.163e+02  4.010e+01  20.358  < 2e-16
## factor(WHO.Region)South-East Asia       -1.272e+02  7.090e+01  -1.795  0.07271
## factor(WHO.Region)Western Pacific        4.910e-01  5.871e+01   0.008  0.99333
##                                            
## Confirmed                               ***
## Recovered                               ***
## New.cases                               ***
## factor(Date)2020-01-22                     
## factor(Date)2020-01-23                     
## factor(Date)2020-01-24                     
## factor(Date)2020-01-25                     
## factor(Date)2020-01-26                     
## factor(Date)2020-01-27                     
## factor(Date)2020-01-28                     
## factor(Date)2020-01-29                     
## factor(Date)2020-01-30                     
## factor(Date)2020-01-31                     
## factor(Date)2020-02-01                     
## factor(Date)2020-02-02                     
## factor(Date)2020-02-03                     
## factor(Date)2020-02-04                     
## factor(Date)2020-02-05                     
## factor(Date)2020-02-06                     
## factor(Date)2020-02-07                     
## factor(Date)2020-02-08                     
## factor(Date)2020-02-09                     
## factor(Date)2020-02-10                     
## factor(Date)2020-02-11                     
## factor(Date)2020-02-12                     
## factor(Date)2020-02-13                     
## factor(Date)2020-02-14                     
## factor(Date)2020-02-15                     
## factor(Date)2020-02-16                     
## factor(Date)2020-02-17                     
## factor(Date)2020-02-18                     
## factor(Date)2020-02-19                     
## factor(Date)2020-02-20                     
## factor(Date)2020-02-21                     
## factor(Date)2020-02-22                     
## factor(Date)2020-02-23                     
## factor(Date)2020-02-24                     
## factor(Date)2020-02-25                     
## factor(Date)2020-02-26                     
## factor(Date)2020-02-27                     
## factor(Date)2020-02-28                     
## factor(Date)2020-02-29                     
## factor(Date)2020-03-01                     
## factor(Date)2020-03-02                     
## factor(Date)2020-03-03                     
## factor(Date)2020-03-04                     
## factor(Date)2020-03-05                     
## factor(Date)2020-03-06                     
## factor(Date)2020-03-07                     
## factor(Date)2020-03-08                     
## factor(Date)2020-03-09                     
## factor(Date)2020-03-10                     
## factor(Date)2020-03-11                     
## factor(Date)2020-03-12                     
## factor(Date)2020-03-13                     
## factor(Date)2020-03-14                     
## factor(Date)2020-03-15                     
## factor(Date)2020-03-16                     
## factor(Date)2020-03-17                     
## factor(Date)2020-03-18                     
## factor(Date)2020-03-19                     
## factor(Date)2020-03-20                     
## factor(Date)2020-03-21                     
## factor(Date)2020-03-22                     
## factor(Date)2020-03-23                     
## factor(Date)2020-03-24                     
## factor(Date)2020-03-25                     
## factor(Date)2020-03-26                     
## factor(Date)2020-03-27                     
## factor(Date)2020-03-28                     
## factor(Date)2020-03-29                     
## factor(Date)2020-03-30                     
## factor(Date)2020-03-31                     
## factor(Date)2020-04-01                     
## factor(Date)2020-04-02                     
## factor(Date)2020-04-03                     
## factor(Date)2020-04-04                     
## factor(Date)2020-04-05                     
## factor(Date)2020-04-06                     
## factor(Date)2020-04-07                     
## factor(Date)2020-04-08                     
## factor(Date)2020-04-09                     
## factor(Date)2020-04-10                     
## factor(Date)2020-04-11                     
## factor(Date)2020-04-12                     
## factor(Date)2020-04-13                     
## factor(Date)2020-04-14                     
## factor(Date)2020-04-15                     
## factor(Date)2020-04-16                     
## factor(Date)2020-04-17                     
## factor(Date)2020-04-18                     
## factor(Date)2020-04-19                     
## factor(Date)2020-04-20                     
## factor(Date)2020-04-21                     
## factor(Date)2020-04-22                     
## factor(Date)2020-04-23                     
## factor(Date)2020-04-24                     
## factor(Date)2020-04-25                     
## factor(Date)2020-04-26                     
## factor(Date)2020-04-27                     
## factor(Date)2020-04-28                     
## factor(Date)2020-04-29                     
## factor(Date)2020-04-30                     
## factor(Date)2020-05-01                     
## factor(Date)2020-05-02                     
## factor(Date)2020-05-03                     
## factor(Date)2020-05-04                     
## factor(Date)2020-05-05                     
## factor(Date)2020-05-06                     
## factor(Date)2020-05-07                     
## factor(Date)2020-05-08                     
## factor(Date)2020-05-09                     
## factor(Date)2020-05-10                     
## factor(Date)2020-05-11                     
## factor(Date)2020-05-12                     
## factor(Date)2020-05-13                     
## factor(Date)2020-05-14                     
## factor(Date)2020-05-15                     
## factor(Date)2020-05-16                     
## factor(Date)2020-05-17                     
## factor(Date)2020-05-18                     
## factor(Date)2020-05-19                     
## factor(Date)2020-05-20                     
## factor(Date)2020-05-21                     
## factor(Date)2020-05-22                     
## factor(Date)2020-05-23                     
## factor(Date)2020-05-24                     
## factor(Date)2020-05-25                     
## factor(Date)2020-05-26                     
## factor(Date)2020-05-27                     
## factor(Date)2020-05-28                     
## factor(Date)2020-05-29                     
## factor(Date)2020-05-30                  .  
## factor(Date)2020-05-31                     
## factor(Date)2020-06-01                     
## factor(Date)2020-06-02                     
## factor(Date)2020-06-03                     
## factor(Date)2020-06-04                     
## factor(Date)2020-06-05                     
## factor(Date)2020-06-06                     
## factor(Date)2020-06-07                     
## factor(Date)2020-06-08                     
## factor(Date)2020-06-09                     
## factor(Date)2020-06-10                     
## factor(Date)2020-06-11                     
## factor(Date)2020-06-12                     
## factor(Date)2020-06-13                     
## factor(Date)2020-06-14                     
## factor(Date)2020-06-15                     
## factor(Date)2020-06-16                     
## factor(Date)2020-06-17                     
## factor(Date)2020-06-18                     
## factor(Date)2020-06-19                     
## factor(Date)2020-06-20                     
## factor(Date)2020-06-21                     
## factor(Date)2020-06-22                     
## factor(Date)2020-06-23                     
## factor(Date)2020-06-24                     
## factor(Date)2020-06-25                     
## factor(Date)2020-06-26                     
## factor(Date)2020-06-27                     
## factor(Date)2020-06-28                     
## factor(Date)2020-06-29                     
## factor(Date)2020-06-30                     
## factor(Date)2020-07-01                     
## factor(Date)2020-07-02                     
## factor(Date)2020-07-03                     
## factor(Date)2020-07-04                     
## factor(Date)2020-07-05                     
## factor(Date)2020-07-06                     
## factor(Date)2020-07-07                     
## factor(Date)2020-07-08                     
## factor(Date)2020-07-09                     
## factor(Date)2020-07-10                     
## factor(Date)2020-07-11                     
## factor(Date)2020-07-12                     
## factor(Date)2020-07-13                     
## factor(Date)2020-07-14                     
## factor(Date)2020-07-15                     
## factor(Date)2020-07-16                     
## factor(Date)2020-07-17                     
## factor(Date)2020-07-18                     
## factor(Date)2020-07-19                     
## factor(Date)2020-07-20                     
## factor(Date)2020-07-21                     
## factor(Date)2020-07-22                     
## factor(Date)2020-07-23                     
## factor(Date)2020-07-24                     
## factor(Date)2020-07-25                     
## factor(Date)2020-07-26                  *  
## factor(Date)2020-07-27                  *  
## factor(WHO.Region)Americas              ***
## factor(WHO.Region)Eastern Mediterranean ** 
## factor(WHO.Region)Europe                ***
## factor(WHO.Region)South-East Asia       .  
## factor(WHO.Region)Western Pacific          
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2787 on 34960 degrees of freedom
## Multiple R-squared:  0.8641, Adjusted R-squared:  0.8633 
## F-statistic:  1134 on 196 and 34960 DF,  p-value: < 2.2e-16

Uji Chow

pFtest(fe,wls)#bagusan fe
## 
##  F test for individual effects
## 
## data:  Deaths ~ Confirmed + Recovered + New.cases
## F = 4370.4, df1 = 5, df2 = 35147, p-value < 2.2e-16
## alternative hypothesis: significant effects

Uji Efek Individu dan waktu

plmtest(fe,type="bp",effect="twoways") #terdapat pengaruh individu sekaligus waktu
## 
##  Lagrange Multiplier Test - two-ways effects (Breusch-Pagan)
## 
## data:  Deaths ~ Confirmed + Recovered + New.cases
## chisq = 52351, df = 2, p-value < 2.2e-16
## alternative hypothesis: significant effects

Uji Efek Individu

plmtest(fe,type="bp",effect="individual") #terdapat pengaruh individu
## 
##  Lagrange Multiplier Test - (Breusch-Pagan)
## 
## data:  Deaths ~ Confirmed + Recovered + New.cases
## chisq = 52346, df = 1, p-value < 2.2e-16
## alternative hypothesis: significant effects

Uji Efek Waktu

plmtest(fe,type="bp",effect="time") #terdapat pengaruh waktu
## 
##  Lagrange Multiplier Test - time effects (Breusch-Pagan)
## 
## data:  Deaths ~ Confirmed + Recovered + New.cases
## chisq = 4.9723, df = 1, p-value = 0.02576
## alternative hypothesis: significant effects
#Maka yang digunakan efek twoways Fixed Effect Within Model

Model Fixed Effect Final (Efek Dua Arah)

fetw<-plm(Deaths~Confirmed+Recovered+New.cases,data=data,model="within",
        index=c("WHO.Region","Date"),effect="twoways");summary(fe)
## Oneway (individual) effect Within Model
## 
## Call:
## plm(formula = Deaths ~ Confirmed + Recovered + New.cases, data = data, 
##     model = "within", index = c("WHO.Region", "Date"))
## 
## Balanced Panel: n = 6, T = 188, N = 35156
## 
## Residuals:
##       Min.    1st Qu.     Median    3rd Qu.       Max. 
## -66799.772   -768.456    -64.485     31.606  29853.518 
## 
## Coefficients:
##              Estimate  Std. Error t-value  Pr(>|t|)    
## Confirmed  0.06644544  0.00029206 227.503 < 2.2e-16 ***
## Recovered -0.03027987  0.00051674 -58.598 < 2.2e-16 ***
## New.cases -0.54035116  0.01113208 -48.540 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Total Sum of Squares:    1.9035e+12
## Residual Sum of Squares: 2.7343e+11
## R-Squared:      0.85635
## Adj. R-Squared: 0.85632
## F-statistic: 69842.4 on 3 and 35147 DF, p-value: < 2.22e-16

Pengecekan & Uji Asumsi

hist(fetw$residuals,freq = F,col="steelblue")
lines(density(fetw$residuals),col="coral",lwd=3)

jarque.bera.test(fetw$residuals)# p-value<0.05, tolak H0: tdk normal
## 
##  Jarque Bera Test
## 
## data:  fetw$residuals
## X-squared = 8647779, df = 2, p-value < 2.2e-16
qqnorm(fetw$residuals,col="steelblue")
qqline(rnorm(length(fetw$residuals),mean(fetw$residuals),sd(fetw$residuals)),
       col="coral",lwd=3)

bgtest(fe)#tidak ada autokol
## 
##  Breusch-Godfrey test for serial correlation of order up to 1
## 
## data:  fe
## LM test = 2.9574, df = 1, p-value = 0.08548
bptest(fe)#ragam heterogen
## 
##  studentized Breusch-Pagan test
## 
## data:  fe
## BP = 11334, df = 3, p-value < 2.2e-16

Transformasi untuk menangani heteroskedastisitas

trd<-BoxCoxTrans(data$Deaths+1,na.rm=T);trd #+1: menggeser 1 satuan ke kanan agar untuk Deaths = 0 tidak menjadi infinit saat ditransformasi
## Box-Cox Transformation
## 
## 35156 data points used to estimate Lambda
## 
## Input data summary:
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
##      1.00      1.00      5.00   1235.07     79.25 148012.00 
## 
## Largest/Smallest: 148000 
## Sample Skewness: 11.6 
## 
## Estimated Lambda: -0.2 
## With fudge factor, Lambda = 0 will be used for transformations
data$Deaths2<-predict(trd,data$Deaths+1);range(data$Deaths2+1)
## [1]  1.00000 12.90505

Model setelah transformasi

#Model Final Fixed Effect (two-ways)
fenew<-plm(Deaths2~Confirmed+Recovered+New.cases,data=data,model="within", index=c("WHO.Region","Date"),effect="twoways");summary(fenew)
## Twoways effects Within Model
## 
## Call:
## plm(formula = Deaths2 ~ Confirmed + Recovered + New.cases, data = data, 
##     effect = "twoways", model = "within", index = c("WHO.Region", 
##         "Date"))
## 
## Balanced Panel: n = 6, T = 188, N = 35156
## 
## Residuals:
##       Min.    1st Qu.     Median    3rd Qu.       Max. 
## -13.249499  -1.053492  -0.057065   0.863801   7.827715 
## 
## Coefficients:
##             Estimate Std. Error t-value  Pr(>|t|)    
## Confirmed 1.0134e-06 2.0091e-07  5.0442 4.578e-07 ***
## Recovered 6.9149e-06 3.5976e-07 19.2207 < 2.2e-16 ***
## New.cases 1.0667e-04 7.6868e-06 13.8764 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Total Sum of Squares:    153760
## Residual Sum of Squares: 128320
## R-Squared:      0.16546
## Adj. R-Squared: 0.16081
## F-statistic: 2310.5 on 3 and 34960 DF, p-value: < 2.22e-16
#Model LSDV
lsdv<-lm(Deaths2~Confirmed+Recovered+New.cases+factor(Date)+factor(WHO.Region)-1,
   data=data,na.action = na.omit,
   index=c("WHO.Region","Date"));summary(lsdv)
## 
## Call:
## lm(formula = Deaths2 ~ Confirmed + Recovered + New.cases + factor(Date) + 
##     factor(WHO.Region) - 1, data = data, na.action = na.omit, 
##     index = c("WHO.Region", "Date"))
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -13.2495  -1.0535  -0.0571   0.8638   7.8277 
## 
## Coefficients:
##                                           Estimate Std. Error t value Pr(>|t|)
## Confirmed                                1.013e-06  2.009e-07   5.044 4.58e-07
## Recovered                                6.915e-06  3.598e-07  19.221  < 2e-16
## New.cases                                1.067e-04  7.687e-06  13.876  < 2e-16
## factor(Date)2020-01-22                  -8.742e-01  1.412e-01  -6.192 6.02e-10
## factor(Date)2020-01-23                  -8.739e-01  1.412e-01  -6.190 6.08e-10
## factor(Date)2020-01-24                  -8.722e-01  1.412e-01  -6.177 6.59e-10
## factor(Date)2020-01-25                  -8.698e-01  1.412e-01  -6.161 7.32e-10
## factor(Date)2020-01-26                  -8.684e-01  1.412e-01  -6.151 7.79e-10
## factor(Date)2020-01-27                  -8.665e-01  1.412e-01  -6.137 8.49e-10
## factor(Date)2020-01-28                  -8.651e-01  1.412e-01  -6.127 9.05e-10
## factor(Date)2020-01-29                  -8.638e-01  1.412e-01  -6.118 9.56e-10
## factor(Date)2020-01-30                  -8.633e-01  1.412e-01  -6.115 9.77e-10
## factor(Date)2020-01-31                  -8.620e-01  1.412e-01  -6.105 1.04e-09
## factor(Date)2020-02-01                  -8.612e-01  1.412e-01  -6.100 1.08e-09
## factor(Date)2020-02-02                  -8.572e-01  1.412e-01  -6.072 1.28e-09
## factor(Date)2020-02-03                  -8.554e-01  1.412e-01  -6.059 1.38e-09
## factor(Date)2020-02-04                  -8.552e-01  1.412e-01  -6.057 1.40e-09
## factor(Date)2020-02-05                  -8.544e-01  1.412e-01  -6.051 1.45e-09
## factor(Date)2020-02-06                  -8.534e-01  1.412e-01  -6.045 1.51e-09
## factor(Date)2020-02-07                  -8.530e-01  1.412e-01  -6.042 1.54e-09
## factor(Date)2020-02-08                  -8.520e-01  1.412e-01  -6.034 1.61e-09
## factor(Date)2020-02-09                  -8.516e-01  1.412e-01  -6.031 1.64e-09
## factor(Date)2020-02-10                  -8.507e-01  1.412e-01  -6.026 1.70e-09
## factor(Date)2020-02-11                  -8.500e-01  1.412e-01  -6.020 1.76e-09
## factor(Date)2020-02-12                  -8.499e-01  1.412e-01  -6.020 1.77e-09
## factor(Date)2020-02-13                  -8.519e-01  1.412e-01  -6.034 1.62e-09
## factor(Date)2020-02-14                  -8.474e-01  1.412e-01  -6.002 1.97e-09
## factor(Date)2020-02-15                  -8.407e-01  1.412e-01  -5.955 2.63e-09
## factor(Date)2020-02-16                  -8.368e-01  1.412e-01  -5.927 3.12e-09
## factor(Date)2020-02-17                  -8.365e-01  1.412e-01  -5.925 3.16e-09
## factor(Date)2020-02-18                  -8.339e-01  1.412e-01  -5.906 3.53e-09
## factor(Date)2020-02-19                  -8.270e-01  1.412e-01  -5.858 4.74e-09
## factor(Date)2020-02-20                  -8.232e-01  1.412e-01  -5.830 5.58e-09
## factor(Date)2020-02-21                  -8.146e-01  1.412e-01  -5.770 8.00e-09
## factor(Date)2020-02-22                  -8.118e-01  1.412e-01  -5.750 9.00e-09
## factor(Date)2020-02-23                  -8.028e-01  1.412e-01  -5.686 1.31e-08
## factor(Date)2020-02-24                  -7.956e-01  1.412e-01  -5.635 1.76e-08
## factor(Date)2020-02-25                  -7.900e-01  1.412e-01  -5.596 2.22e-08
## factor(Date)2020-02-26                  -7.852e-01  1.412e-01  -5.562 2.69e-08
## factor(Date)2020-02-27                  -7.806e-01  1.412e-01  -5.529 3.25e-08
## factor(Date)2020-02-28                  -7.772e-01  1.412e-01  -5.505 3.72e-08
## factor(Date)2020-02-29                  -7.691e-01  1.412e-01  -5.447 5.15e-08
## factor(Date)2020-03-01                  -7.597e-01  1.412e-01  -5.381 7.47e-08
## factor(Date)2020-03-02                  -7.454e-01  1.412e-01  -5.280 1.30e-07
## factor(Date)2020-03-03                  -7.335e-01  1.412e-01  -5.195 2.06e-07
## factor(Date)2020-03-04                  -7.166e-01  1.412e-01  -5.076 3.88e-07
## factor(Date)2020-03-05                  -7.069e-01  1.412e-01  -5.007 5.55e-07
## factor(Date)2020-03-06                  -6.906e-01  1.412e-01  -4.891 1.01e-06
## factor(Date)2020-03-07                  -6.802e-01  1.412e-01  -4.818 1.46e-06
## factor(Date)2020-03-08                  -6.519e-01  1.412e-01  -4.617 3.90e-06
## factor(Date)2020-03-09                  -6.343e-01  1.412e-01  -4.493 7.06e-06
## factor(Date)2020-03-10                  -6.089e-01  1.412e-01  -4.313 1.62e-05
## factor(Date)2020-03-11                  -5.572e-01  1.412e-01  -3.946 7.95e-05
## factor(Date)2020-03-12                  -5.305e-01  1.412e-01  -3.758 0.000172
## factor(Date)2020-03-13                  -4.792e-01  1.412e-01  -3.394 0.000689
## factor(Date)2020-03-14                  -4.211e-01  1.412e-01  -2.983 0.002857
## factor(Date)2020-03-15                  -3.884e-01  1.412e-01  -2.751 0.005942
## factor(Date)2020-03-16                  -3.619e-01  1.412e-01  -2.563 0.010374
## factor(Date)2020-03-17                  -3.038e-01  1.412e-01  -2.152 0.031419
## factor(Date)2020-03-18                  -2.360e-01  1.412e-01  -1.671 0.094655
## factor(Date)2020-03-19                  -1.694e-01  1.412e-01  -1.200 0.230246
## factor(Date)2020-03-20                  -9.364e-02  1.412e-01  -0.663 0.507189
## factor(Date)2020-03-21                  -6.424e-03  1.412e-01  -0.046 0.963709
## factor(Date)2020-03-22                   9.334e-02  1.412e-01   0.661 0.508535
## factor(Date)2020-03-23                   1.630e-01  1.412e-01   1.155 0.248258
## factor(Date)2020-03-24                   2.479e-01  1.412e-01   1.756 0.079130
## factor(Date)2020-03-25                   3.372e-01  1.412e-01   2.389 0.016921
## factor(Date)2020-03-26                   4.244e-01  1.412e-01   3.006 0.002651
## factor(Date)2020-03-27                   5.120e-01  1.412e-01   3.626 0.000288
## factor(Date)2020-03-28                   6.070e-01  1.412e-01   4.299 1.72e-05
## factor(Date)2020-03-29                   7.227e-01  1.412e-01   5.119 3.10e-07
## factor(Date)2020-03-30                   8.111e-01  1.412e-01   5.744 9.31e-09
## factor(Date)2020-03-31                   9.057e-01  1.412e-01   6.414 1.44e-10
## factor(Date)2020-04-01                   9.965e-01  1.412e-01   7.057 1.73e-12
## factor(Date)2020-04-02                   1.093e+00  1.412e-01   7.740 1.02e-14
## factor(Date)2020-04-03                   1.164e+00  1.412e-01   8.241  < 2e-16
## factor(Date)2020-04-04                   1.246e+00  1.412e-01   8.826  < 2e-16
## factor(Date)2020-04-05                   1.330e+00  1.412e-01   9.417  < 2e-16
## factor(Date)2020-04-06                   1.401e+00  1.412e-01   9.922  < 2e-16
## factor(Date)2020-04-07                   1.466e+00  1.412e-01  10.385  < 2e-16
## factor(Date)2020-04-08                   1.526e+00  1.412e-01  10.808  < 2e-16
## factor(Date)2020-04-09                   1.571e+00  1.412e-01  11.126  < 2e-16
## factor(Date)2020-04-10                   1.634e+00  1.412e-01  11.569  < 2e-16
## factor(Date)2020-04-11                   1.683e+00  1.412e-01  11.916  < 2e-16
## factor(Date)2020-04-12                   1.712e+00  1.412e-01  12.123  < 2e-16
## factor(Date)2020-04-13                   1.768e+00  1.412e-01  12.520  < 2e-16
## factor(Date)2020-04-14                   1.809e+00  1.412e-01  12.811  < 2e-16
## factor(Date)2020-04-15                   1.851e+00  1.412e-01  13.107  < 2e-16
## factor(Date)2020-04-16                   1.879e+00  1.412e-01  13.308  < 2e-16
## factor(Date)2020-04-17                   1.929e+00  1.412e-01  13.662  < 2e-16
## factor(Date)2020-04-18                   1.971e+00  1.412e-01  13.959  < 2e-16
## factor(Date)2020-04-19                   2.001e+00  1.412e-01  14.173  < 2e-16
## factor(Date)2020-04-20                   2.034e+00  1.412e-01  14.405  < 2e-16
## factor(Date)2020-04-21                   2.062e+00  1.412e-01  14.603  < 2e-16
## factor(Date)2020-04-22                   2.094e+00  1.412e-01  14.829  < 2e-16
## factor(Date)2020-04-23                   2.130e+00  1.412e-01  15.086  < 2e-16
## factor(Date)2020-04-24                   2.152e+00  1.412e-01  15.244  < 2e-16
## factor(Date)2020-04-25                   2.183e+00  1.412e-01  15.460  < 2e-16
## factor(Date)2020-04-26                   2.216e+00  1.412e-01  15.693  < 2e-16
## factor(Date)2020-04-27                   2.233e+00  1.412e-01  15.819  < 2e-16
## factor(Date)2020-04-28                   2.258e+00  1.412e-01  15.994  < 2e-16
## factor(Date)2020-04-29                   2.281e+00  1.412e-01  16.159  < 2e-16
## factor(Date)2020-04-30                   2.315e+00  1.412e-01  16.399  < 2e-16
## factor(Date)2020-05-01                   2.335e+00  1.412e-01  16.535  < 2e-16
## factor(Date)2020-05-02                   2.369e+00  1.412e-01  16.781  < 2e-16
## factor(Date)2020-05-03                   2.389e+00  1.412e-01  16.923  < 2e-16
## factor(Date)2020-05-04                   2.418e+00  1.412e-01  17.128  < 2e-16
## factor(Date)2020-05-05                   2.444e+00  1.412e-01  17.313  < 2e-16
## factor(Date)2020-05-06                   2.471e+00  1.412e-01  17.502  < 2e-16
## factor(Date)2020-05-07                   2.493e+00  1.412e-01  17.658  < 2e-16
## factor(Date)2020-05-08                   2.509e+00  1.412e-01  17.771  < 2e-16
## factor(Date)2020-05-09                   2.534e+00  1.412e-01  17.950  < 2e-16
## factor(Date)2020-05-10                   2.555e+00  1.412e-01  18.101  < 2e-16
## factor(Date)2020-05-11                   2.567e+00  1.412e-01  18.180  < 2e-16
## factor(Date)2020-05-12                   2.577e+00  1.412e-01  18.253  < 2e-16
## factor(Date)2020-05-13                   2.603e+00  1.412e-01  18.437  < 2e-16
## factor(Date)2020-05-14                   2.611e+00  1.412e-01  18.495  < 2e-16
## factor(Date)2020-05-15                   2.637e+00  1.412e-01  18.681  < 2e-16
## factor(Date)2020-05-16                   2.659e+00  1.412e-01  18.833  < 2e-16
## factor(Date)2020-05-17                   2.685e+00  1.412e-01  19.015  < 2e-16
## factor(Date)2020-05-18                   2.692e+00  1.412e-01  19.065  < 2e-16
## factor(Date)2020-05-19                   2.707e+00  1.412e-01  19.174  < 2e-16
## factor(Date)2020-05-20                   2.713e+00  1.412e-01  19.213  < 2e-16
## factor(Date)2020-05-21                   2.728e+00  1.412e-01  19.324  < 2e-16
## factor(Date)2020-05-22                   2.739e+00  1.412e-01  19.404  < 2e-16
## factor(Date)2020-05-23                   2.757e+00  1.412e-01  19.529  < 2e-16
## factor(Date)2020-05-24                   2.771e+00  1.412e-01  19.630  < 2e-16
## factor(Date)2020-05-25                   2.796e+00  1.412e-01  19.804  < 2e-16
## factor(Date)2020-05-26                   2.815e+00  1.412e-01  19.943  < 2e-16
## factor(Date)2020-05-27                   2.829e+00  1.412e-01  20.038  < 2e-16
## factor(Date)2020-05-28                   2.834e+00  1.412e-01  20.075  < 2e-16
## factor(Date)2020-05-29                   2.848e+00  1.412e-01  20.174  < 2e-16
## factor(Date)2020-05-30                   2.854e+00  1.412e-01  20.217  < 2e-16
## factor(Date)2020-05-31                   2.886e+00  1.412e-01  20.444  < 2e-16
## factor(Date)2020-06-01                   2.907e+00  1.412e-01  20.589  < 2e-16
## factor(Date)2020-06-02                   2.909e+00  1.412e-01  20.604  < 2e-16
## factor(Date)2020-06-03                   2.923e+00  1.412e-01  20.704  < 2e-16
## factor(Date)2020-06-04                   2.928e+00  1.412e-01  20.737  < 2e-16
## factor(Date)2020-06-05                   2.938e+00  1.412e-01  20.807  < 2e-16
## factor(Date)2020-06-06                   2.947e+00  1.412e-01  20.871  < 2e-16
## factor(Date)2020-06-07                   2.971e+00  1.412e-01  21.040  < 2e-16
## factor(Date)2020-06-08                   2.990e+00  1.412e-01  21.177  < 2e-16
## factor(Date)2020-06-09                   2.988e+00  1.412e-01  21.161  < 2e-16
## factor(Date)2020-06-10                   2.992e+00  1.412e-01  21.190  < 2e-16
## factor(Date)2020-06-11                   3.000e+00  1.412e-01  21.248  < 2e-16
## factor(Date)2020-06-12                   3.019e+00  1.412e-01  21.381  < 2e-16
## factor(Date)2020-06-13                   3.028e+00  1.412e-01  21.450  < 2e-16
## factor(Date)2020-06-14                   3.042e+00  1.412e-01  21.544  < 2e-16
## factor(Date)2020-06-15                   3.065e+00  1.412e-01  21.705  < 2e-16
## factor(Date)2020-06-16                   3.075e+00  1.412e-01  21.781  < 2e-16
## factor(Date)2020-06-17                   3.084e+00  1.412e-01  21.846  < 2e-16
## factor(Date)2020-06-18                   3.099e+00  1.412e-01  21.947  < 2e-16
## factor(Date)2020-06-19                   3.085e+00  1.412e-01  21.849  < 2e-16
## factor(Date)2020-06-20                   3.108e+00  1.412e-01  22.011  < 2e-16
## factor(Date)2020-06-21                   3.136e+00  1.412e-01  22.210  < 2e-16
## factor(Date)2020-06-22                   3.141e+00  1.412e-01  22.248  < 2e-16
## factor(Date)2020-06-23                   3.142e+00  1.412e-01  22.250  < 2e-16
## factor(Date)2020-06-24                   3.142e+00  1.412e-01  22.255  < 2e-16
## factor(Date)2020-06-25                   3.144e+00  1.412e-01  22.269  < 2e-16
## factor(Date)2020-06-26                   3.146e+00  1.412e-01  22.279  < 2e-16
## factor(Date)2020-06-27                   3.162e+00  1.412e-01  22.391  < 2e-16
## factor(Date)2020-06-28                   3.181e+00  1.412e-01  22.528  < 2e-16
## factor(Date)2020-06-29                   3.196e+00  1.412e-01  22.633  < 2e-16
## factor(Date)2020-06-30                   3.199e+00  1.412e-01  22.653  < 2e-16
## factor(Date)2020-07-01                   3.184e+00  1.412e-01  22.547  < 2e-16
## factor(Date)2020-07-02                   3.192e+00  1.412e-01  22.604  < 2e-16
## factor(Date)2020-07-03                   3.202e+00  1.412e-01  22.672  < 2e-16
## factor(Date)2020-07-04                   3.211e+00  1.412e-01  22.739  < 2e-16
## factor(Date)2020-07-05                   3.226e+00  1.412e-01  22.844  < 2e-16
## factor(Date)2020-07-06                   3.246e+00  1.412e-01  22.981  < 2e-16
## factor(Date)2020-07-07                   3.229e+00  1.412e-01  22.861  < 2e-16
## factor(Date)2020-07-08                   3.233e+00  1.412e-01  22.892  < 2e-16
## factor(Date)2020-07-09                   3.234e+00  1.412e-01  22.895  < 2e-16
## factor(Date)2020-07-10                   3.244e+00  1.413e-01  22.963  < 2e-16
## factor(Date)2020-07-11                   3.260e+00  1.413e-01  23.081  < 2e-16
## factor(Date)2020-07-12                   3.284e+00  1.413e-01  23.248  < 2e-16
## factor(Date)2020-07-13                   3.289e+00  1.413e-01  23.282  < 2e-16
## factor(Date)2020-07-14                   3.279e+00  1.413e-01  23.209  < 2e-16
## factor(Date)2020-07-15                   3.276e+00  1.413e-01  23.186  < 2e-16
## factor(Date)2020-07-16                   3.271e+00  1.413e-01  23.152  < 2e-16
## factor(Date)2020-07-17                   3.289e+00  1.413e-01  23.282  < 2e-16
## factor(Date)2020-07-18                   3.308e+00  1.413e-01  23.411  < 2e-16
## factor(Date)2020-07-19                   3.327e+00  1.413e-01  23.543  < 2e-16
## factor(Date)2020-07-20                   3.342e+00  1.413e-01  23.644  < 2e-16
## factor(Date)2020-07-21                   3.331e+00  1.413e-01  23.568  < 2e-16
## factor(Date)2020-07-22                   3.305e+00  1.413e-01  23.390  < 2e-16
## factor(Date)2020-07-23                   3.308e+00  1.413e-01  23.408  < 2e-16
## factor(Date)2020-07-24                   3.315e+00  1.413e-01  23.455  < 2e-16
## factor(Date)2020-07-25                   3.331e+00  1.414e-01  23.563  < 2e-16
## factor(Date)2020-07-26                   3.367e+00  1.414e-01  23.810  < 2e-16
## factor(Date)2020-07-27                   3.359e+00  1.414e-01  23.759  < 2e-16
## factor(WHO.Region)Americas               7.640e-01  3.137e-02  24.355  < 2e-16
## factor(WHO.Region)Eastern Mediterranean  1.223e+00  3.603e-02  33.940  < 2e-16
## factor(WHO.Region)Europe                 1.774e+00  2.756e-02  64.368  < 2e-16
## factor(WHO.Region)South-East Asia        4.356e-01  4.873e-02   8.940  < 2e-16
## factor(WHO.Region)Western Pacific        5.632e-01  4.036e-02  13.955  < 2e-16
##                                            
## Confirmed                               ***
## Recovered                               ***
## New.cases                               ***
## factor(Date)2020-01-22                  ***
## factor(Date)2020-01-23                  ***
## factor(Date)2020-01-24                  ***
## factor(Date)2020-01-25                  ***
## factor(Date)2020-01-26                  ***
## factor(Date)2020-01-27                  ***
## factor(Date)2020-01-28                  ***
## factor(Date)2020-01-29                  ***
## factor(Date)2020-01-30                  ***
## factor(Date)2020-01-31                  ***
## factor(Date)2020-02-01                  ***
## factor(Date)2020-02-02                  ***
## factor(Date)2020-02-03                  ***
## factor(Date)2020-02-04                  ***
## factor(Date)2020-02-05                  ***
## factor(Date)2020-02-06                  ***
## factor(Date)2020-02-07                  ***
## factor(Date)2020-02-08                  ***
## factor(Date)2020-02-09                  ***
## factor(Date)2020-02-10                  ***
## factor(Date)2020-02-11                  ***
## factor(Date)2020-02-12                  ***
## factor(Date)2020-02-13                  ***
## factor(Date)2020-02-14                  ***
## factor(Date)2020-02-15                  ***
## factor(Date)2020-02-16                  ***
## factor(Date)2020-02-17                  ***
## factor(Date)2020-02-18                  ***
## factor(Date)2020-02-19                  ***
## factor(Date)2020-02-20                  ***
## factor(Date)2020-02-21                  ***
## factor(Date)2020-02-22                  ***
## factor(Date)2020-02-23                  ***
## factor(Date)2020-02-24                  ***
## factor(Date)2020-02-25                  ***
## factor(Date)2020-02-26                  ***
## factor(Date)2020-02-27                  ***
## factor(Date)2020-02-28                  ***
## factor(Date)2020-02-29                  ***
## factor(Date)2020-03-01                  ***
## factor(Date)2020-03-02                  ***
## factor(Date)2020-03-03                  ***
## factor(Date)2020-03-04                  ***
## factor(Date)2020-03-05                  ***
## factor(Date)2020-03-06                  ***
## factor(Date)2020-03-07                  ***
## factor(Date)2020-03-08                  ***
## factor(Date)2020-03-09                  ***
## factor(Date)2020-03-10                  ***
## factor(Date)2020-03-11                  ***
## factor(Date)2020-03-12                  ***
## factor(Date)2020-03-13                  ***
## factor(Date)2020-03-14                  ** 
## factor(Date)2020-03-15                  ** 
## factor(Date)2020-03-16                  *  
## factor(Date)2020-03-17                  *  
## factor(Date)2020-03-18                  .  
## factor(Date)2020-03-19                     
## factor(Date)2020-03-20                     
## factor(Date)2020-03-21                     
## factor(Date)2020-03-22                     
## factor(Date)2020-03-23                     
## factor(Date)2020-03-24                  .  
## factor(Date)2020-03-25                  *  
## factor(Date)2020-03-26                  ** 
## factor(Date)2020-03-27                  ***
## factor(Date)2020-03-28                  ***
## factor(Date)2020-03-29                  ***
## factor(Date)2020-03-30                  ***
## factor(Date)2020-03-31                  ***
## factor(Date)2020-04-01                  ***
## factor(Date)2020-04-02                  ***
## factor(Date)2020-04-03                  ***
## factor(Date)2020-04-04                  ***
## factor(Date)2020-04-05                  ***
## factor(Date)2020-04-06                  ***
## factor(Date)2020-04-07                  ***
## factor(Date)2020-04-08                  ***
## factor(Date)2020-04-09                  ***
## factor(Date)2020-04-10                  ***
## factor(Date)2020-04-11                  ***
## factor(Date)2020-04-12                  ***
## factor(Date)2020-04-13                  ***
## factor(Date)2020-04-14                  ***
## factor(Date)2020-04-15                  ***
## factor(Date)2020-04-16                  ***
## factor(Date)2020-04-17                  ***
## factor(Date)2020-04-18                  ***
## factor(Date)2020-04-19                  ***
## factor(Date)2020-04-20                  ***
## factor(Date)2020-04-21                  ***
## factor(Date)2020-04-22                  ***
## factor(Date)2020-04-23                  ***
## factor(Date)2020-04-24                  ***
## factor(Date)2020-04-25                  ***
## factor(Date)2020-04-26                  ***
## factor(Date)2020-04-27                  ***
## factor(Date)2020-04-28                  ***
## factor(Date)2020-04-29                  ***
## factor(Date)2020-04-30                  ***
## factor(Date)2020-05-01                  ***
## factor(Date)2020-05-02                  ***
## factor(Date)2020-05-03                  ***
## factor(Date)2020-05-04                  ***
## factor(Date)2020-05-05                  ***
## factor(Date)2020-05-06                  ***
## factor(Date)2020-05-07                  ***
## factor(Date)2020-05-08                  ***
## factor(Date)2020-05-09                  ***
## factor(Date)2020-05-10                  ***
## factor(Date)2020-05-11                  ***
## factor(Date)2020-05-12                  ***
## factor(Date)2020-05-13                  ***
## factor(Date)2020-05-14                  ***
## factor(Date)2020-05-15                  ***
## factor(Date)2020-05-16                  ***
## factor(Date)2020-05-17                  ***
## factor(Date)2020-05-18                  ***
## factor(Date)2020-05-19                  ***
## factor(Date)2020-05-20                  ***
## factor(Date)2020-05-21                  ***
## factor(Date)2020-05-22                  ***
## factor(Date)2020-05-23                  ***
## factor(Date)2020-05-24                  ***
## factor(Date)2020-05-25                  ***
## factor(Date)2020-05-26                  ***
## factor(Date)2020-05-27                  ***
## factor(Date)2020-05-28                  ***
## factor(Date)2020-05-29                  ***
## factor(Date)2020-05-30                  ***
## factor(Date)2020-05-31                  ***
## factor(Date)2020-06-01                  ***
## factor(Date)2020-06-02                  ***
## factor(Date)2020-06-03                  ***
## factor(Date)2020-06-04                  ***
## factor(Date)2020-06-05                  ***
## factor(Date)2020-06-06                  ***
## factor(Date)2020-06-07                  ***
## factor(Date)2020-06-08                  ***
## factor(Date)2020-06-09                  ***
## factor(Date)2020-06-10                  ***
## factor(Date)2020-06-11                  ***
## factor(Date)2020-06-12                  ***
## factor(Date)2020-06-13                  ***
## factor(Date)2020-06-14                  ***
## factor(Date)2020-06-15                  ***
## factor(Date)2020-06-16                  ***
## factor(Date)2020-06-17                  ***
## factor(Date)2020-06-18                  ***
## factor(Date)2020-06-19                  ***
## factor(Date)2020-06-20                  ***
## factor(Date)2020-06-21                  ***
## factor(Date)2020-06-22                  ***
## factor(Date)2020-06-23                  ***
## factor(Date)2020-06-24                  ***
## factor(Date)2020-06-25                  ***
## factor(Date)2020-06-26                  ***
## factor(Date)2020-06-27                  ***
## factor(Date)2020-06-28                  ***
## factor(Date)2020-06-29                  ***
## factor(Date)2020-06-30                  ***
## factor(Date)2020-07-01                  ***
## factor(Date)2020-07-02                  ***
## factor(Date)2020-07-03                  ***
## factor(Date)2020-07-04                  ***
## factor(Date)2020-07-05                  ***
## factor(Date)2020-07-06                  ***
## factor(Date)2020-07-07                  ***
## factor(Date)2020-07-08                  ***
## factor(Date)2020-07-09                  ***
## factor(Date)2020-07-10                  ***
## factor(Date)2020-07-11                  ***
## factor(Date)2020-07-12                  ***
## factor(Date)2020-07-13                  ***
## factor(Date)2020-07-14                  ***
## factor(Date)2020-07-15                  ***
## factor(Date)2020-07-16                  ***
## factor(Date)2020-07-17                  ***
## factor(Date)2020-07-18                  ***
## factor(Date)2020-07-19                  ***
## factor(Date)2020-07-20                  ***
## factor(Date)2020-07-21                  ***
## factor(Date)2020-07-22                  ***
## factor(Date)2020-07-23                  ***
## factor(Date)2020-07-24                  ***
## factor(Date)2020-07-25                  ***
## factor(Date)2020-07-26                  ***
## factor(Date)2020-07-27                  ***
## factor(WHO.Region)Americas              ***
## factor(WHO.Region)Eastern Mediterranean ***
## factor(WHO.Region)Europe                ***
## factor(WHO.Region)South-East Asia       ***
## factor(WHO.Region)Western Pacific       ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.916 on 34960 degrees of freedom
## Multiple R-squared:  0.7473, Adjusted R-squared:  0.7459 
## F-statistic: 527.4 on 196 and 34960 DF,  p-value: < 2.2e-16
bptest(fenew);bptest(lsdv) #heteroskedastisitas tetap tdk tertangani
## 
##  studentized Breusch-Pagan test
## 
## data:  fenew
## BP = 13187, df = 3, p-value < 2.2e-16
## 
##  studentized Breusch-Pagan test
## 
## data:  lsdv
## BP = 11464, df = 195, p-value < 2.2e-16

REM

REM GLS Individu

re<-plm(Deaths~Confirmed+Recovered+New.cases,data=data,model="random",
        index=c("WHO.Region","Date"));summary(re)
## Warning in pdata.frame(data, index): duplicate couples (id-time) in resulting pdata.frame
##  to find out which, use, e.g., table(index(your_pdataframe), useNA = "ifany")
## Oneway (individual) effect Random Effect Model 
##    (Swamy-Arora's transformation)
## 
## Call:
## plm(formula = Deaths ~ Confirmed + Recovered + New.cases, data = data, 
##     model = "random", index = c("WHO.Region", "Date"))
## 
## Balanced Panel: n = 6, T = 188, N = 35156
## 
## Effects:
##                   var std.dev share
## idiosyncratic 7779658    2789 0.671
## individual    3810653    1952 0.329
## theta: 0.8964
## 
## Residuals:
##        Min.     1st Qu.      Median     3rd Qu.        Max. 
## -66800.8876   -714.3100    -85.0118      1.9869  29860.7354 
## 
## Coefficients:
##                Estimate  Std. Error  z-value Pr(>|z|)    
## (Intercept)  2.5631e+02  1.4355e+02   1.7855  0.07418 .  
## Confirmed    6.6450e-02  2.9206e-04 227.5172  < 2e-16 ***
## Recovered   -3.0280e-02  5.1675e-04 -58.5972  < 2e-16 ***
## New.cases   -5.4051e-01  1.1132e-02 -48.5568  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Total Sum of Squares:    1.9039e+12
## Residual Sum of Squares: 2.7349e+11
## R-Squared:      0.85636
## Adj. R-Squared: 0.85634
## Chisq: 209565 on 3 DF, p-value: < 2.22e-16

Uji Efek Individu

plmtest(re,type="bp",effect="individual")
## Warning in pdata.frame(data, index): duplicate couples (id-time) in resulting pdata.frame
##  to find out which, use, e.g., table(index(your_pdataframe), useNA = "ifany")
## 
##  Lagrange Multiplier Test - (Breusch-Pagan)
## 
## data:  Deaths ~ Confirmed + Recovered + New.cases
## chisq = 52346, df = 1, p-value < 2.2e-16
## alternative hypothesis: significant effects

Uji Efek Waktu

plmtest(re,type="bp",effect="time")
## Warning in pdata.frame(data, index): duplicate couples (id-time) in resulting pdata.frame
##  to find out which, use, e.g., table(index(your_pdataframe), useNA = "ifany")
## 
##  Lagrange Multiplier Test - time effects (Breusch-Pagan)
## 
## data:  Deaths ~ Confirmed + Recovered + New.cases
## chisq = 4.9723, df = 1, p-value = 0.02576
## alternative hypothesis: significant effects

Uji Efek Twoways

plmtest(re,type="bp",effect="twoways") #Maka efek twoways yang akan digunakan
## Warning in pdata.frame(data, index): duplicate couples (id-time) in resulting pdata.frame
##  to find out which, use, e.g., table(index(your_pdataframe), useNA = "ifany")
## 
##  Lagrange Multiplier Test - two-ways effects (Breusch-Pagan)
## 
## data:  Deaths ~ Confirmed + Recovered + New.cases
## chisq = 52351, df = 2, p-value < 2.2e-16
## alternative hypothesis: significant effects

REM GLS Final (twoways)

re<-plm(Deaths~Confirmed+Recovered+New.cases,data=data,model="random",
        index=c("WHO.Region","Date"),effect="twoways");summary(re)
## Warning in pdata.frame(data, index): duplicate couples (id-time) in resulting pdata.frame
##  to find out which, use, e.g., table(index(your_pdataframe), useNA = "ifany")
## Twoways effects Random Effect Model 
##    (Swamy-Arora's transformation)
## 
## Call:
## plm(formula = Deaths ~ Confirmed + Recovered + New.cases, data = data, 
##     effect = "twoways", model = "random", index = c("WHO.Region", 
##         "Date"))
## 
## Balanced Panel: n = 6, T = 188, N = 35156
## 
## Effects:
##                   var std.dev share
## idiosyncratic 7768419    2787 0.671
## individual    3810712    1952 0.329
## time                0       0 0.000
## theta: 0.8964 (id) 0 (time) 0 (total)
## 
## Residuals:
##        Min.     1st Qu.      Median     3rd Qu.        Max. 
## -66800.8805   -714.3496    -84.9904      2.0083  29860.7304 
## 
## Coefficients:
##                Estimate  Std. Error  z-value Pr(>|z|)    
## (Intercept)  2.5631e+02  1.4366e+02   1.7842  0.07439 .  
## Confirmed    6.6450e-02  2.9206e-04 227.5173  < 2e-16 ***
## Recovered   -3.0280e-02  5.1675e-04 -58.5972  < 2e-16 ***
## New.cases   -5.4051e-01  1.1132e-02 -48.5568  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Total Sum of Squares:    1.9039e+12
## Residual Sum of Squares: 2.7349e+11
## R-Squared:      0.85636
## Adj. R-Squared: 0.85634
## Chisq: 209565 on 3 DF, p-value: < 2.22e-16

REM MLE (two ways)

l<-lmer(Deaths~Confirmed+Recovered+New.cases+(1|WHO.Region)+(1|Date),data=data,REML=F);summary(l)
## Warning: Some predictor variables are on very different scales: consider
## rescaling

## Warning: Some predictor variables are on very different scales: consider
## rescaling
## Linear mixed model fit by maximum likelihood . t-tests use Satterthwaite's
##   method [lmerModLmerTest]
## Formula: Deaths ~ Confirmed + Recovered + New.cases + (1 | WHO.Region) +  
##     (1 | Date)
##    Data: data
## 
##       AIC       BIC    logLik  deviance  df.resid 
##  657620.6  657679.9 -328803.3  657606.6     35149 
## 
## Scaled residuals: 
##      Min       1Q   Median       3Q      Max 
## -23.9114  -0.2600  -0.0359   0.0298  10.7273 
## 
## Random effects:
##  Groups     Name        Variance Std.Dev.
##  Date       (Intercept)   11171   105.7  
##  WHO.Region (Intercept)  115698   340.1  
##  Residual               7767881  2787.1  
## Number of obs: 35156, groups:  Date, 188; WHO.Region, 6
## 
## Fixed effects:
##               Estimate Std. Error         df t value Pr(>|t|)    
## (Intercept)  1.213e+02  1.402e+02  6.096e+00   0.865     0.42    
## Confirmed    6.643e-02  2.919e-04  3.509e+04 227.578   <2e-16 ***
## Recovered   -3.026e-02  5.178e-04  3.363e+04 -58.438   <2e-16 ***
## New.cases   -5.412e-01  1.113e-02  3.510e+04 -48.603   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##           (Intr) Cnfrmd Recvrd
## Confirmed  0.006              
## Recovered -0.009 -0.647       
## New.cases -0.008 -0.647 -0.050
## fit warnings:
## Some predictor variables are on very different scales: consider rescaling

Intersep Twoways

ranef(l)
## $Date
##            (Intercept)
## 2020-01-22  -54.432276
## 2020-01-23  -54.377810
## 2020-01-24  -54.274845
## 2020-01-25  -54.167385
## 2020-01-26  -54.085430
## 2020-01-27  -54.039901
## 2020-01-28  -53.052672
## 2020-01-29  -54.359310
## 2020-01-30  -53.563700
## 2020-01-31  -53.870882
## 2020-02-01  -53.719197
## 2020-02-02  -52.336008
## 2020-02-03  -53.503245
## 2020-02-04  -53.164268
## 2020-02-05  -53.519195
## 2020-02-06  -54.025202
## 2020-02-07  -53.949398
## 2020-02-08  -54.526618
## 2020-02-09  -54.441361
## 2020-02-10  -54.788560
## 2020-02-11  -55.109065
## 2020-02-12  -55.326256
## 2020-02-13  -48.817909
## 2020-02-14  -53.468001
## 2020-02-15  -56.122034
## 2020-02-16  -56.090823
## 2020-02-17  -56.178726
## 2020-02-18  -56.182489
## 2020-02-19  -56.867598
## 2020-02-20  -56.624385
## 2020-02-21  -56.596446
## 2020-02-22  -55.667023
## 2020-02-23  -56.546342
## 2020-02-24  -56.199902
## 2020-02-25  -55.906886
## 2020-02-26  -55.760773
## 2020-02-27  -55.471345
## 2020-02-28  -55.386305
## 2020-02-29  -55.029941
## 2020-03-01  -54.749087
## 2020-03-02  -54.949646
## 2020-03-03  -54.599826
## 2020-03-04  -54.735006
## 2020-03-05  -54.448221
## 2020-03-06  -53.841914
## 2020-03-07  -53.890087
## 2020-03-08  -53.882808
## 2020-03-09  -53.939338
## 2020-03-10  -53.246515
## 2020-03-11  -51.735839
## 2020-03-12  -52.951054
## 2020-03-13  -48.098165
## 2020-03-14  -50.403772
## 2020-03-15  -50.375038
## 2020-03-16  -48.483114
## 2020-03-17  -47.946917
## 2020-03-18  -46.021145
## 2020-03-19  -41.703435
## 2020-03-20  -41.137255
## 2020-03-21  -39.836290
## 2020-03-22  -39.538289
## 2020-03-23  -35.154846
## 2020-03-24  -35.974735
## 2020-03-25  -30.540340
## 2020-03-26  -24.138702
## 2020-03-27  -23.818758
## 2020-03-28  -22.461320
## 2020-03-29  -27.641979
## 2020-03-30  -24.155335
## 2020-03-31  -16.771955
## 2020-04-01  -15.816298
## 2020-04-02  -11.049489
## 2020-04-03   -8.935779
## 2020-04-04   -9.338983
## 2020-04-05  -13.951991
## 2020-04-06  -11.668788
## 2020-04-07   -5.141038
## 2020-04-08    1.389618
## 2020-04-09    6.095897
## 2020-04-10    9.095570
## 2020-04-11    4.495718
## 2020-04-12   16.517417
## 2020-04-13    2.013711
## 2020-04-14    5.614877
## 2020-04-15   16.866973
## 2020-04-16   28.612365
## 2020-04-17   27.436894
## 2020-04-18   21.565412
## 2020-04-19   25.763485
## 2020-04-20   22.734953
## 2020-04-21   27.524565
## 2020-04-22   32.693598
## 2020-04-23   40.876353
## 2020-04-24   48.479062
## 2020-04-25   41.943453
## 2020-04-26   34.452938
## 2020-04-27   32.851814
## 2020-04-28   39.723787
## 2020-04-29   45.549273
## 2020-04-30   50.724323
## 2020-05-01   53.366371
## 2020-05-02   51.433065
## 2020-05-03   47.985260
## 2020-05-04   47.110049
## 2020-05-05   51.361715
## 2020-05-06   59.829429
## 2020-05-07   60.966377
## 2020-05-08   63.032737
## 2020-05-09   58.818099
## 2020-05-10   52.359425
## 2020-05-11   52.162283
## 2020-05-12   57.878620
## 2020-05-13   60.094844
## 2020-05-14   67.560415
## 2020-05-15   67.369675
## 2020-05-16   66.247328
## 2020-05-17   55.119347
## 2020-05-18   59.987595
## 2020-05-19   65.030831
## 2020-05-20   68.727399
## 2020-05-21   69.962687
## 2020-05-22   71.881583
## 2020-05-23   69.347798
## 2020-05-24   61.496483
## 2020-05-25   53.545237
## 2020-05-26   56.528022
## 2020-05-27   62.900210
## 2020-05-28   71.763350
## 2020-05-29   71.770503
## 2020-05-30   78.719876
## 2020-05-31   57.916451
## 2020-06-01   48.499667
## 2020-06-02   64.598607
## 2020-06-03   63.269377
## 2020-06-04   66.554911
## 2020-06-05   66.863537
## 2020-06-06   66.582605
## 2020-06-07   48.582259
## 2020-06-08   44.096936
## 2020-06-09   56.671972
## 2020-06-10   61.094615
## 2020-06-11   61.527884
## 2020-06-12   53.848779
## 2020-06-13   55.571904
## 2020-06-14   50.161557
## 2020-06-15   39.305135
## 2020-06-16   53.129709
## 2020-06-17   52.706951
## 2020-06-18   49.455317
## 2020-06-19   71.352803
## 2020-06-20   53.907517
## 2020-06-21   33.268408
## 2020-06-22   35.779544
## 2020-06-23   49.756625
## 2020-06-24   50.369491
## 2020-06-25   51.768781
## 2020-06-26   54.733084
## 2020-06-27   41.925563
## 2020-06-28   26.635478
## 2020-06-29   19.817238
## 2020-06-30   25.951047
## 2020-07-01   46.062537
## 2020-07-02   39.855923
## 2020-07-03   31.367470
## 2020-07-04   22.357991
## 2020-07-05    9.925844
## 2020-07-06   -3.560246
## 2020-07-07   19.129413
## 2020-07-08   15.199476
## 2020-07-09   18.878103
## 2020-07-10   14.821407
## 2020-07-11   -1.579592
## 2020-07-12  -22.293031
## 2020-07-13  -27.616082
## 2020-07-14  -15.428213
## 2020-07-15  -15.206198
## 2020-07-16   -9.300055
## 2020-07-17  -20.854440
## 2020-07-18  -29.898397
## 2020-07-19  -52.584842
## 2020-07-20  -62.828047
## 2020-07-21  -50.932755
## 2020-07-22  -29.228501
## 2020-07-23  -32.109436
## 2020-07-24  -39.447904
## 2020-07-25  -61.373234
## 2020-07-26  -98.748343
## 2020-07-27  -89.068658
## 
## $WHO.Region
##                       (Intercept)
## Africa                  -150.9268
## Americas                 206.8895
## Eastern Mediterranean   -294.6777
## Europe                   659.0554
## South-East Asia         -272.0803
## Western Pacific         -148.2601
## 
## with conditional variances for "Date" "WHO.Region"
coef(l) #Diselisihkan dengan base intersep (121.30048)
## $Date
##            (Intercept)  Confirmed   Recovered  New.cases
## 2020-01-22    66.86820 0.06643379 -0.03025759 -0.5411712
## 2020-01-23    66.92267 0.06643379 -0.03025759 -0.5411712
## 2020-01-24    67.02563 0.06643379 -0.03025759 -0.5411712
## 2020-01-25    67.13309 0.06643379 -0.03025759 -0.5411712
## 2020-01-26    67.21505 0.06643379 -0.03025759 -0.5411712
## 2020-01-27    67.26058 0.06643379 -0.03025759 -0.5411712
## 2020-01-28    68.24781 0.06643379 -0.03025759 -0.5411712
## 2020-01-29    66.94117 0.06643379 -0.03025759 -0.5411712
## 2020-01-30    67.73678 0.06643379 -0.03025759 -0.5411712
## 2020-01-31    67.42960 0.06643379 -0.03025759 -0.5411712
## 2020-02-01    67.58128 0.06643379 -0.03025759 -0.5411712
## 2020-02-02    68.96447 0.06643379 -0.03025759 -0.5411712
## 2020-02-03    67.79723 0.06643379 -0.03025759 -0.5411712
## 2020-02-04    68.13621 0.06643379 -0.03025759 -0.5411712
## 2020-02-05    67.78128 0.06643379 -0.03025759 -0.5411712
## 2020-02-06    67.27528 0.06643379 -0.03025759 -0.5411712
## 2020-02-07    67.35108 0.06643379 -0.03025759 -0.5411712
## 2020-02-08    66.77386 0.06643379 -0.03025759 -0.5411712
## 2020-02-09    66.85912 0.06643379 -0.03025759 -0.5411712
## 2020-02-10    66.51192 0.06643379 -0.03025759 -0.5411712
## 2020-02-11    66.19141 0.06643379 -0.03025759 -0.5411712
## 2020-02-12    65.97422 0.06643379 -0.03025759 -0.5411712
## 2020-02-13    72.48257 0.06643379 -0.03025759 -0.5411712
## 2020-02-14    67.83248 0.06643379 -0.03025759 -0.5411712
## 2020-02-15    65.17844 0.06643379 -0.03025759 -0.5411712
## 2020-02-16    65.20966 0.06643379 -0.03025759 -0.5411712
## 2020-02-17    65.12175 0.06643379 -0.03025759 -0.5411712
## 2020-02-18    65.11799 0.06643379 -0.03025759 -0.5411712
## 2020-02-19    64.43288 0.06643379 -0.03025759 -0.5411712
## 2020-02-20    64.67609 0.06643379 -0.03025759 -0.5411712
## 2020-02-21    64.70403 0.06643379 -0.03025759 -0.5411712
## 2020-02-22    65.63346 0.06643379 -0.03025759 -0.5411712
## 2020-02-23    64.75414 0.06643379 -0.03025759 -0.5411712
## 2020-02-24    65.10058 0.06643379 -0.03025759 -0.5411712
## 2020-02-25    65.39359 0.06643379 -0.03025759 -0.5411712
## 2020-02-26    65.53971 0.06643379 -0.03025759 -0.5411712
## 2020-02-27    65.82913 0.06643379 -0.03025759 -0.5411712
## 2020-02-28    65.91417 0.06643379 -0.03025759 -0.5411712
## 2020-02-29    66.27054 0.06643379 -0.03025759 -0.5411712
## 2020-03-01    66.55139 0.06643379 -0.03025759 -0.5411712
## 2020-03-02    66.35083 0.06643379 -0.03025759 -0.5411712
## 2020-03-03    66.70065 0.06643379 -0.03025759 -0.5411712
## 2020-03-04    66.56547 0.06643379 -0.03025759 -0.5411712
## 2020-03-05    66.85226 0.06643379 -0.03025759 -0.5411712
## 2020-03-06    67.45856 0.06643379 -0.03025759 -0.5411712
## 2020-03-07    67.41039 0.06643379 -0.03025759 -0.5411712
## 2020-03-08    67.41767 0.06643379 -0.03025759 -0.5411712
## 2020-03-09    67.36114 0.06643379 -0.03025759 -0.5411712
## 2020-03-10    68.05396 0.06643379 -0.03025759 -0.5411712
## 2020-03-11    69.56464 0.06643379 -0.03025759 -0.5411712
## 2020-03-12    68.34942 0.06643379 -0.03025759 -0.5411712
## 2020-03-13    73.20231 0.06643379 -0.03025759 -0.5411712
## 2020-03-14    70.89671 0.06643379 -0.03025759 -0.5411712
## 2020-03-15    70.92544 0.06643379 -0.03025759 -0.5411712
## 2020-03-16    72.81736 0.06643379 -0.03025759 -0.5411712
## 2020-03-17    73.35356 0.06643379 -0.03025759 -0.5411712
## 2020-03-18    75.27933 0.06643379 -0.03025759 -0.5411712
## 2020-03-19    79.59704 0.06643379 -0.03025759 -0.5411712
## 2020-03-20    80.16322 0.06643379 -0.03025759 -0.5411712
## 2020-03-21    81.46419 0.06643379 -0.03025759 -0.5411712
## 2020-03-22    81.76219 0.06643379 -0.03025759 -0.5411712
## 2020-03-23    86.14563 0.06643379 -0.03025759 -0.5411712
## 2020-03-24    85.32574 0.06643379 -0.03025759 -0.5411712
## 2020-03-25    90.76014 0.06643379 -0.03025759 -0.5411712
## 2020-03-26    97.16178 0.06643379 -0.03025759 -0.5411712
## 2020-03-27    97.48172 0.06643379 -0.03025759 -0.5411712
## 2020-03-28    98.83916 0.06643379 -0.03025759 -0.5411712
## 2020-03-29    93.65850 0.06643379 -0.03025759 -0.5411712
## 2020-03-30    97.14514 0.06643379 -0.03025759 -0.5411712
## 2020-03-31   104.52852 0.06643379 -0.03025759 -0.5411712
## 2020-04-01   105.48418 0.06643379 -0.03025759 -0.5411712
## 2020-04-02   110.25099 0.06643379 -0.03025759 -0.5411712
## 2020-04-03   112.36470 0.06643379 -0.03025759 -0.5411712
## 2020-04-04   111.96150 0.06643379 -0.03025759 -0.5411712
## 2020-04-05   107.34849 0.06643379 -0.03025759 -0.5411712
## 2020-04-06   109.63169 0.06643379 -0.03025759 -0.5411712
## 2020-04-07   116.15944 0.06643379 -0.03025759 -0.5411712
## 2020-04-08   122.69010 0.06643379 -0.03025759 -0.5411712
## 2020-04-09   127.39638 0.06643379 -0.03025759 -0.5411712
## 2020-04-10   130.39605 0.06643379 -0.03025759 -0.5411712
## 2020-04-11   125.79620 0.06643379 -0.03025759 -0.5411712
## 2020-04-12   137.81790 0.06643379 -0.03025759 -0.5411712
## 2020-04-13   123.31419 0.06643379 -0.03025759 -0.5411712
## 2020-04-14   126.91536 0.06643379 -0.03025759 -0.5411712
## 2020-04-15   138.16745 0.06643379 -0.03025759 -0.5411712
## 2020-04-16   149.91284 0.06643379 -0.03025759 -0.5411712
## 2020-04-17   148.73737 0.06643379 -0.03025759 -0.5411712
## 2020-04-18   142.86589 0.06643379 -0.03025759 -0.5411712
## 2020-04-19   147.06396 0.06643379 -0.03025759 -0.5411712
## 2020-04-20   144.03543 0.06643379 -0.03025759 -0.5411712
## 2020-04-21   148.82504 0.06643379 -0.03025759 -0.5411712
## 2020-04-22   153.99408 0.06643379 -0.03025759 -0.5411712
## 2020-04-23   162.17683 0.06643379 -0.03025759 -0.5411712
## 2020-04-24   169.77954 0.06643379 -0.03025759 -0.5411712
## 2020-04-25   163.24393 0.06643379 -0.03025759 -0.5411712
## 2020-04-26   155.75342 0.06643379 -0.03025759 -0.5411712
## 2020-04-27   154.15229 0.06643379 -0.03025759 -0.5411712
## 2020-04-28   161.02427 0.06643379 -0.03025759 -0.5411712
## 2020-04-29   166.84975 0.06643379 -0.03025759 -0.5411712
## 2020-04-30   172.02480 0.06643379 -0.03025759 -0.5411712
## 2020-05-01   174.66685 0.06643379 -0.03025759 -0.5411712
## 2020-05-02   172.73354 0.06643379 -0.03025759 -0.5411712
## 2020-05-03   169.28574 0.06643379 -0.03025759 -0.5411712
## 2020-05-04   168.41053 0.06643379 -0.03025759 -0.5411712
## 2020-05-05   172.66219 0.06643379 -0.03025759 -0.5411712
## 2020-05-06   181.12991 0.06643379 -0.03025759 -0.5411712
## 2020-05-07   182.26686 0.06643379 -0.03025759 -0.5411712
## 2020-05-08   184.33322 0.06643379 -0.03025759 -0.5411712
## 2020-05-09   180.11858 0.06643379 -0.03025759 -0.5411712
## 2020-05-10   173.65990 0.06643379 -0.03025759 -0.5411712
## 2020-05-11   173.46276 0.06643379 -0.03025759 -0.5411712
## 2020-05-12   179.17910 0.06643379 -0.03025759 -0.5411712
## 2020-05-13   181.39532 0.06643379 -0.03025759 -0.5411712
## 2020-05-14   188.86089 0.06643379 -0.03025759 -0.5411712
## 2020-05-15   188.67015 0.06643379 -0.03025759 -0.5411712
## 2020-05-16   187.54781 0.06643379 -0.03025759 -0.5411712
## 2020-05-17   176.41983 0.06643379 -0.03025759 -0.5411712
## 2020-05-18   181.28807 0.06643379 -0.03025759 -0.5411712
## 2020-05-19   186.33131 0.06643379 -0.03025759 -0.5411712
## 2020-05-20   190.02788 0.06643379 -0.03025759 -0.5411712
## 2020-05-21   191.26317 0.06643379 -0.03025759 -0.5411712
## 2020-05-22   193.18206 0.06643379 -0.03025759 -0.5411712
## 2020-05-23   190.64828 0.06643379 -0.03025759 -0.5411712
## 2020-05-24   182.79696 0.06643379 -0.03025759 -0.5411712
## 2020-05-25   174.84572 0.06643379 -0.03025759 -0.5411712
## 2020-05-26   177.82850 0.06643379 -0.03025759 -0.5411712
## 2020-05-27   184.20069 0.06643379 -0.03025759 -0.5411712
## 2020-05-28   193.06383 0.06643379 -0.03025759 -0.5411712
## 2020-05-29   193.07098 0.06643379 -0.03025759 -0.5411712
## 2020-05-30   200.02035 0.06643379 -0.03025759 -0.5411712
## 2020-05-31   179.21693 0.06643379 -0.03025759 -0.5411712
## 2020-06-01   169.80015 0.06643379 -0.03025759 -0.5411712
## 2020-06-02   185.89909 0.06643379 -0.03025759 -0.5411712
## 2020-06-03   184.56986 0.06643379 -0.03025759 -0.5411712
## 2020-06-04   187.85539 0.06643379 -0.03025759 -0.5411712
## 2020-06-05   188.16402 0.06643379 -0.03025759 -0.5411712
## 2020-06-06   187.88308 0.06643379 -0.03025759 -0.5411712
## 2020-06-07   169.88274 0.06643379 -0.03025759 -0.5411712
## 2020-06-08   165.39741 0.06643379 -0.03025759 -0.5411712
## 2020-06-09   177.97245 0.06643379 -0.03025759 -0.5411712
## 2020-06-10   182.39509 0.06643379 -0.03025759 -0.5411712
## 2020-06-11   182.82836 0.06643379 -0.03025759 -0.5411712
## 2020-06-12   175.14926 0.06643379 -0.03025759 -0.5411712
## 2020-06-13   176.87238 0.06643379 -0.03025759 -0.5411712
## 2020-06-14   171.46204 0.06643379 -0.03025759 -0.5411712
## 2020-06-15   160.60561 0.06643379 -0.03025759 -0.5411712
## 2020-06-16   174.43019 0.06643379 -0.03025759 -0.5411712
## 2020-06-17   174.00743 0.06643379 -0.03025759 -0.5411712
## 2020-06-18   170.75580 0.06643379 -0.03025759 -0.5411712
## 2020-06-19   192.65328 0.06643379 -0.03025759 -0.5411712
## 2020-06-20   175.20800 0.06643379 -0.03025759 -0.5411712
## 2020-06-21   154.56889 0.06643379 -0.03025759 -0.5411712
## 2020-06-22   157.08002 0.06643379 -0.03025759 -0.5411712
## 2020-06-23   171.05710 0.06643379 -0.03025759 -0.5411712
## 2020-06-24   171.66997 0.06643379 -0.03025759 -0.5411712
## 2020-06-25   173.06926 0.06643379 -0.03025759 -0.5411712
## 2020-06-26   176.03356 0.06643379 -0.03025759 -0.5411712
## 2020-06-27   163.22604 0.06643379 -0.03025759 -0.5411712
## 2020-06-28   147.93596 0.06643379 -0.03025759 -0.5411712
## 2020-06-29   141.11772 0.06643379 -0.03025759 -0.5411712
## 2020-06-30   147.25153 0.06643379 -0.03025759 -0.5411712
## 2020-07-01   167.36302 0.06643379 -0.03025759 -0.5411712
## 2020-07-02   161.15640 0.06643379 -0.03025759 -0.5411712
## 2020-07-03   152.66795 0.06643379 -0.03025759 -0.5411712
## 2020-07-04   143.65847 0.06643379 -0.03025759 -0.5411712
## 2020-07-05   131.22632 0.06643379 -0.03025759 -0.5411712
## 2020-07-06   117.74023 0.06643379 -0.03025759 -0.5411712
## 2020-07-07   140.42989 0.06643379 -0.03025759 -0.5411712
## 2020-07-08   136.49995 0.06643379 -0.03025759 -0.5411712
## 2020-07-09   140.17858 0.06643379 -0.03025759 -0.5411712
## 2020-07-10   136.12189 0.06643379 -0.03025759 -0.5411712
## 2020-07-11   119.72089 0.06643379 -0.03025759 -0.5411712
## 2020-07-12    99.00745 0.06643379 -0.03025759 -0.5411712
## 2020-07-13    93.68440 0.06643379 -0.03025759 -0.5411712
## 2020-07-14   105.87227 0.06643379 -0.03025759 -0.5411712
## 2020-07-15   106.09428 0.06643379 -0.03025759 -0.5411712
## 2020-07-16   112.00042 0.06643379 -0.03025759 -0.5411712
## 2020-07-17   100.44604 0.06643379 -0.03025759 -0.5411712
## 2020-07-18    91.40208 0.06643379 -0.03025759 -0.5411712
## 2020-07-19    68.71564 0.06643379 -0.03025759 -0.5411712
## 2020-07-20    58.47243 0.06643379 -0.03025759 -0.5411712
## 2020-07-21    70.36772 0.06643379 -0.03025759 -0.5411712
## 2020-07-22    92.07198 0.06643379 -0.03025759 -0.5411712
## 2020-07-23    89.19104 0.06643379 -0.03025759 -0.5411712
## 2020-07-24    81.85257 0.06643379 -0.03025759 -0.5411712
## 2020-07-25    59.92724 0.06643379 -0.03025759 -0.5411712
## 2020-07-26    22.55214 0.06643379 -0.03025759 -0.5411712
## 2020-07-27    32.23182 0.06643379 -0.03025759 -0.5411712
## 
## $WHO.Region
##                       (Intercept)  Confirmed   Recovered  New.cases
## Africa                  -29.62636 0.06643379 -0.03025759 -0.5411712
## Americas                328.19000 0.06643379 -0.03025759 -0.5411712
## Eastern Mediterranean  -173.37725 0.06643379 -0.03025759 -0.5411712
## Europe                  780.35590 0.06643379 -0.03025759 -0.5411712
## South-East Asia        -150.77982 0.06643379 -0.03025759 -0.5411712
## Western Pacific         -26.95959 0.06643379 -0.03025759 -0.5411712
## 
## attr(,"class")
## [1] "coef.mer"

Pengecekan & Uji Asumsi

hist(re$residuals,freq = F,col="steelblue")
lines(density(re$residuals),col="coral",lwd=3)

jarque.bera.test(re$residuals)# p-value<0.05, tolak H0: tdk normal
## 
##  Jarque Bera Test
## 
## data:  re$residuals
## X-squared = 9044376, df = 2, p-value < 2.2e-16
qqnorm(re$residuals,col="steelblue")
qqline(rnorm(length(re$residuals),mean(re$residuals),sd(re$residuals)),
       col="coral",lwd=3)

kable(tidy(bgtest(re)),digits=3,caption="Breusch Godfrey Test")#tidak ada autokol
Breusch Godfrey Test
statistic p.value parameter method
2.957 0.085 1 Breusch-Godfrey test for serial correlation of order up to 1
kable(tidy(bptest(re)),digits=3,caption="Breusch Pagan Test")#ragam heterogen
Breusch Pagan Test
statistic p.value parameter method
11334.3 0 3 studentized Breusch-Pagan test

REM GLS VS REM MLE based on Residual Standard Error (RSE)

JKG.GLS<-sum(resid(re)^2);df.GLS<-summary(re)$df.residual
RSE.GLS<-sqrt(JKG.GLS/df.GLS)
JKG.MLE<-sum(resid(l)^2);df.MLE<-summary(l)$AICtab["df.resid"][[1]]
RSE.MLE<-sqrt(JKG.MLE/df.MLE)
kable(cbind(RSE.MLE,RSE.GLS),digits=3,caption="RSE Comparison") # REM MLE lebih baik
RSE Comparison
RSE.MLE RSE.GLS
2785.564 2789.283

Hausman Test

kable(tidy(phtest(fetw,re)),digits=3,caption="Hausman Test") #tetap bagusan FE twoways
Hausman Test
statistic p.value parameter method alternative
530.259 0 3 Hausman Test one model is inconsistent