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Raaed
Level IV

Lui estimators

How can Liu's estimations be calculated using JMP pro?!

 

Attached
Real data obtained from the Central Child Hospital in Baghdad - Iraq, representing the number of cases of congenital defects of children in the heart and circulatory system for the period (2006-2011).

 

regards

Řaëd ~✍
21 REPLIES 21
txnelson
Super User

Re: Lui estimators

I modified your JSL to match the column names from the included data table.  I also added a Send() to move the dta data to r.  

Names Default to Here( 1 );

// make sure JMP can find the desired installed version of R
//Set Environment Variable( "R_HOME", "C:\Program Files\R\R-4.1.3" );

// Open Data Table: fatima data.jmp
//dta = Open( "/D:/Rdata/fatima data.jmp" );
dta=current data table();
x1 = :"the totals of the children's weights 109 75.4 69.5 36.2 6.9"n << Get As Matrix;
x2 = :"Age sums of children's parents 1260 811 735 201 82"n << Get As Matrix;
x3 = :"Age sums of the mothers of the children 915 619 503 168 61"n << Get As Matrix;
x4 = :"The number of infected male children 29 18 11 3 2"n << Get As Matrix;
x5 = :"Number of infected female children 10 3 7 2 0"n << Get As Matrix;
x6 = :"Number of infected children born from consanguineous marriages 9 5 3 1 0"n << Get As Matrix;
x7 = :"Number of infected children whose mothers were exposed to radiation during pregnancy 11 3 1 1 0"n << Get As Matrix;
y = :"Total children with congenital heart defects 39 21 18 5 2"n << Get As Matrix;

//Close( dta, No Save );

// connect to R session
R Init( );

// send JMP data as vectors
R Send( x1 );
R Send( x2 );
R Send( x3 );
R Send( x4 );
R Send( x5 );
R Send( x6 );
R Send( x7 );
R Send( y );
R Send(dta);

// use mcreg function in mcr package with entire data set
R Submit("
library(liureg)
mod <-liu(y~., data = as.data.frame(dta), d = seq(0, 0.1, 0.01), scaling = \!"centered\!")
print( mod )
## Liu Var-Cov matrix
vcov(mod)
## Liu biasing parameters by researchers
dest(mod)
## Liu related statistics
lstats(mod)
");
r term();

The results from r were

TKIntRJMP.R version 14.0
Call:
liu.default(formula = y ~ ., data = as.data.frame(dta), d = seq(0, 
    0.1, 0.01), scaling = "centered")
       Intercept no.1.2.3.4.5
d=0           NA           NA
d=0.01        NA           NA
d=0.02        NA           NA
d=0.03        NA           NA
d=0.04        NA           NA
d=0.05        NA           NA
d=0.06        NA           NA
d=0.07        NA           NA
d=0.08        NA           NA
d=0.09        NA           NA
d=0.1         NA           NA
       Total.children.with.congenital.heart.defects.39.21.18.5.2
d=0                                                           NA
d=0.01                                                        NA
d=0.02                                                        NA
d=0.03                                                        NA
d=0.04                                                        NA
d=0.05                                                        NA
d=0.06                                                        NA
d=0.07                                                        NA
d=0.08                                                        NA
d=0.09                                                        NA
d=0.1                                                         NA
       the.totals.of.the.children.s.weights.109.75.4.69.5.36.2.6.9
d=0                                                             NA
d=0.01                                                          NA
d=0.02                                                          NA
d=0.03                                                          NA
d=0.04                                                          NA
d=0.05                                                          NA
d=0.06                                                          NA
d=0.07                                                          NA
d=0.08                                                          NA
d=0.09                                                          NA
d=0.1                                                           NA
       Age.sums.of.children.s.parents.1260.811.735.201.82
d=0                                                    NA
d=0.01                                                 NA
d=0.02                                                 NA
d=0.03                                                 NA
d=0.04                                                 NA
d=0.05                                                 NA
d=0.06                                                 NA
d=0.07                                                 NA
d=0.08                                                 NA
d=0.09                                                 NA
d=0.1                                                  NA
       Age.sums.of.the.mothers.of.the.children.915.619.503.168.61
d=0                                                            NA
d=0.01                                                         NA
d=0.02                                                         NA
d=0.03                                                         NA
d=0.04                                                         NA
d=0.05                                                         NA
d=0.06                                                         NA
d=0.07                                                         NA
d=0.08                                                         NA
d=0.09                                                         NA
d=0.1                                                          NA
       The.number.of.infected.male.children.29.18.11.3.2
d=0                                                   NA
d=0.01                                                NA
d=0.02                                                NA
d=0.03                                                NA
d=0.04                                                NA
d=0.05                                                NA
d=0.06                                                NA
d=0.07                                                NA
d=0.08                                                NA
d=0.09                                                NA
d=0.1                                                 NA
       Number.of.infected.female.children.10.3.7.2.0
d=0                                               NA
d=0.01                                            NA
d=0.02                                            NA
d=0.03                                            NA
d=0.04                                            NA
d=0.05                                            NA
d=0.06                                            NA
d=0.07                                            NA
d=0.08                                            NA
d=0.09                                            NA
d=0.1                                             NA
       Number.of.infected.children.born.from.consanguineous.marriages.9.5.3.1.0
d=0                                                                          NA
d=0.01                                                                       NA
d=0.02                                                                       NA
d=0.03                                                                       NA
d=0.04                                                                       NA
d=0.05                                                                       NA
d=0.06                                                                       NA
d=0.07                                                                       NA
d=0.08                                                                       NA
d=0.09                                                                       NA
d=0.1                                                                        NA
       Number.of.infected.children.whose.mothers.were.exposed.to.radiation.during.pregnancy.11.3.1.1.0
d=0                                                                                                 NA
d=0.01                                                                                              NA
d=0.02                                                                                              NA
d=0.03                                                                                              NA
d=0.04                                                                                              NA
d=0.05                                                                                              NA
d=0.06                                                                                              NA
d=0.07                                                                                              NA
d=0.08                                                                                              NA
d=0.09                                                                                              NA
d=0.1                                                                                               NA
Error: Error in solve.default(t(x) %*% x) : 
  system is computationally singular: reciprocal condition number = 1.28204e-20
0

the interface appears to be working, there seems to be a data issue.

Jim
Raaed
Level IV

Re: Lui estimators

by using R code:

# R code
library ("Matrix")
library ("aml")
library ("glmnet")
library("liureg")
library (readxl)
#SET THE WORK FILE DIRECTORY & READ EXCEL FILES
setwd("D:/Rdata")  
da109 <- read_excel("D:/Rdata/PoiReg.xlsx", sheet = 1)
DT <- data.frame (da109, row.names=TRUE, stringsAsFactors=FALSE)
attach (DT)

## fitted Liu estimators
md<-liu(y ~ ., data = as.data.frame(DT), d = seq(0, 1, 0.05), scaling = "sc")
summary(md)
## Liu trace
plot(md)
# end

output from R

Call:
liu.default(formula = y ~ ., data = as.data.frame(DT), d = seq(0, 
    1, 0.05), scaling = "sc")


Coefficients for Liu parameter d= 0 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)    
Intercept  8.970e-01    -2.457e+03   7.974e+01    -30.814   <2e-16 ***
x1         4.061e-02     5.102e+00   3.315e-01     15.392   <2e-16 ***
x2         3.820e-03     5.373e+00   2.601e-01     20.661   <2e-16 ***
x3         5.260e-03     5.335e+00   2.577e-01     20.704   <2e-16 ***
x4         1.785e-01     5.452e+00   2.850e-01     19.132   <2e-16 ***
x5         4.453e-01     4.945e+00   4.755e-01     10.399   <2e-16 ***
x6         5.537e-01     5.241e+00   3.030e-01     17.297   <2e-16 ***
x7         4.625e-01     4.903e+00   5.292e-01      9.266   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Liu Summary
        R2 adj-R2     F   AIC   BIC   MSE
d=0 0.9805 0.9611 98.67 13.91 55.37 803.4
-------------------------------


Coefficients for Liu parameter d= 0.05 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)    
Intercept  8.521e-01    -2.343e+03   3.033e+03     -0.772 0.439942    
x1         3.858e-02     4.847e+00   1.202e+00      4.033 5.50e-05 ***
x2         3.629e-03     5.105e+00   1.082e+01      0.472 0.636995    
x3         4.997e-03     5.069e+00   8.082e+00      0.627 0.530538    
x4         2.196e-01     6.707e+00   3.956e+00      1.695 0.090007 .  
x5         4.730e-01     5.253e+00   2.114e+00      2.485 0.012965 *  
x6         5.260e-01     4.979e+00   1.086e+00      4.586 4.53e-06 ***
x7         4.394e-01     4.658e+00   1.415e+00      3.292 0.000994 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Liu Summary
           R2 adj-R2   F   AIC   BIC   MSE
d=0.05 0.9824 0.9649 105 12.95 54.61 931.3
-------------------------------


Coefficients for Liu parameter d= 0.1 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)  
Intercept  8.073e-01    -2.228e+03   5.858e+03     -0.380   0.7037  
x1         3.655e-02     4.592e+00   2.184e+00      2.103   0.0355 *
x2         3.438e-03     4.836e+00   2.089e+01      0.231   0.8170  
x3         4.734e-03     4.802e+00   1.560e+01      0.308   0.7583  
x4         2.607e-01     7.961e+00   7.609e+00      1.046   0.2954  
x5         5.007e-01     5.561e+00   3.975e+00      1.399   0.1619  
x6         4.983e-01     4.717e+00   1.954e+00      2.414   0.0158 *
x7         4.163e-01     4.413e+00   2.543e+00      1.735   0.0827 .
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Liu Summary
          R2 adj-R2     F   AIC   BIC  MSE
d=0.1 0.9842 0.9685 112.4 11.91 53.78 1419
-------------------------------


Coefficients for Liu parameter d= 0.15 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  7.624e-01    -2.114e+03   8.462e+03     -0.250    0.803
x1         3.452e-02     4.337e+00   3.099e+00      1.399    0.162
x2         3.247e-03     4.567e+00   3.018e+01      0.151    0.880
x3         4.471e-03     4.535e+00   2.253e+01      0.201    0.840
x4         3.017e-01     9.216e+00   1.098e+01      0.840    0.401
x5         5.285e-01     5.869e+00   5.705e+00      1.029    0.304
x6         4.706e-01     4.455e+00   2.764e+00      1.612    0.107
x7         3.931e-01     4.168e+00   3.608e+00      1.155    0.248

Liu Summary
           R2 adj-R2     F   AIC   BIC  MSE
d=0.15 0.9859 0.9719 121.2 10.78 52.85 2182
-------------------------------


Coefficients for Liu parameter d= 0.2 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  7.176e-01    -1.999e+03   1.082e+04     -0.185    0.853
x1         3.249e-02     4.082e+00   3.932e+00      1.038    0.299
x2         3.056e-03     4.299e+00   3.860e+01      0.111    0.911
x3         4.208e-03     4.268e+00   2.882e+01      0.148    0.882
x4         3.428e-01     1.047e+01   1.403e+01      0.746    0.456
x5         5.562e-01     6.177e+00   7.277e+00      0.849    0.396
x6         4.429e-01     4.193e+00   3.500e+00      1.198    0.231
x7         3.700e-01     3.923e+00   4.581e+00      0.856    0.392

Liu Summary
          R2 adj-R2     F   AIC   BIC  MSE
d=0.2 0.9875 0.9751 131.7 9.542 51.82 3133
-------------------------------


Coefficients for Liu parameter d= 0.25 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  6.727e-01    -1.884e+03   1.292e+04     -0.146    0.884
x1         3.046e-02     3.827e+00   4.673e+00      0.819    0.413
x2         2.865e-03     4.030e+00   4.609e+01      0.087    0.930
x3         3.945e-03     4.002e+00   3.441e+01      0.116    0.907
x4         3.839e-01     1.173e+01   1.675e+01      0.700    0.484
x5         5.839e-01     6.485e+00   8.675e+00      0.748    0.455
x6         4.152e-01     3.931e+00   4.154e+00      0.946    0.344
x7         3.469e-01     3.678e+00   5.447e+00      0.675    0.500

Liu Summary
           R2 adj-R2     F   AIC   BIC  MSE
d=0.25 0.9891 0.9781 144.4 8.188 50.67 4184
-------------------------------


Coefficients for Liu parameter d= 0.3 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  6.279e-01    -1.770e+03   1.474e+04     -0.120    0.904
x1         2.843e-02     3.571e+00   5.314e+00      0.672    0.502
x2         2.674e-03     3.761e+00   5.256e+01      0.072    0.943
x3         3.682e-03     3.735e+00   3.924e+01      0.095    0.924
x4         4.250e-01     1.298e+01   1.910e+01      0.680    0.497
x5         6.117e-01     6.793e+00   9.885e+00      0.687    0.492
x6         3.876e-01     3.669e+00   4.720e+00      0.777    0.437
x7         3.238e-01     3.432e+00   6.197e+00      0.554    0.580

Liu Summary
          R2 adj-R2     F AIC   BIC  MSE
d=0.3 0.9905 0.9809 159.8 6.7 49.39 5247
-------------------------------


Coefficients for Liu parameter d= 0.35 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  5.830e-01    -1.655e+03   1.625e+04     -0.102    0.919
x1         2.639e-02     3.316e+00   5.846e+00      0.567    0.571
x2         2.483e-03     3.493e+00   5.795e+01      0.060    0.952
x3         3.419e-03     3.468e+00   4.326e+01      0.080    0.936
x4         4.660e-01     1.423e+01   2.105e+01      0.676    0.499
x5         6.394e-01     7.101e+00   1.089e+01      0.652    0.514
x6         3.599e-01     3.407e+00   5.190e+00      0.656    0.512
x7         3.006e-01     3.187e+00   6.821e+00      0.467    0.640

Liu Summary
           R2 adj-R2   F   AIC   BIC  MSE
d=0.35 0.9918 0.9836 179 5.059 47.96 6238
-------------------------------


Coefficients for Liu parameter d= 0.4 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  5.382e-01    -1.541e+03   1.743e+04     -0.088    0.930
x1         2.437e-02     3.061e+00   6.262e+00      0.489    0.625
x2         2.292e-03     3.224e+00   6.217e+01      0.052    0.959
x3         3.156e-03     3.201e+00   4.641e+01      0.069    0.945
x4         5.071e-01     1.549e+01   2.258e+01      0.686    0.493
x5         6.672e-01     7.409e+00   1.168e+01      0.634    0.526
x6         3.322e-01     3.144e+00   5.557e+00      0.566    0.571
x7         2.775e-01     2.942e+00   7.309e+00      0.403    0.687

Liu Summary
         R2 adj-R2     F   AIC   BIC  MSE
d=0.4 0.993  0.986 203.1 3.239 46.34 7077
-------------------------------


Coefficients for Liu parameter d= 0.45 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  4.933e-01    -1.426e+03   1.826e+04     -0.078    0.938
x1         2.234e-02     2.806e+00   6.553e+00      0.428    0.669
x2         2.101e-03     2.955e+00   6.514e+01      0.045    0.964
x3         2.893e-03     2.935e+00   4.863e+01      0.060    0.952
x4         5.482e-01     1.674e+01   2.366e+01      0.708    0.479
x5         6.949e-01     7.717e+00   1.223e+01      0.631    0.528
x6         3.045e-01     2.882e+00   5.814e+00      0.496    0.620
x7         2.544e-01     2.697e+00   7.651e+00      0.352    0.724

Liu Summary
           R2 adj-R2     F   AIC   BIC  MSE
d=0.45 0.9941 0.9882 234.1 1.211 44.52 7695
-------------------------------


Coefficients for Liu parameter d= 0.5 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  4.485e-01    -1.312e+03   1.873e+04     -0.070    0.944
x1         2.030e-02     2.551e+00   6.713e+00      0.380    0.704
x2         1.910e-03     2.687e+00   6.679e+01      0.040    0.968
x3         2.630e-03     2.668e+00   4.986e+01      0.054    0.957
x4         5.893e-01     1.800e+01   2.426e+01      0.742    0.458
x5         7.226e-01     8.025e+00   1.254e+01      0.640    0.522
x6         2.768e-01     2.620e+00   5.954e+00      0.440    0.660
x7         2.313e-01     2.452e+00   7.840e+00      0.313    0.754

Liu Summary
          R2 adj-R2     F    AIC   BIC  MSE
d=0.5 0.9951 0.9903 274.9 -1.067 42.45 8036
-------------------------------


Coefficients for Liu parameter d= 0.55 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  4.036e-01    -1.197e+03   1.880e+04     -0.064    0.949
x1         1.827e-02     2.296e+00   6.735e+00      0.341    0.733
x2         1.719e-03     2.418e+00   6.705e+01      0.036    0.971
x3         2.367e-03     2.401e+00   5.006e+01      0.048    0.962
x4         6.303e-01     1.925e+01   2.435e+01      0.791    0.429
x5         7.504e-01     8.333e+00   1.259e+01      0.662    0.508
x6         2.491e-01     2.358e+00   5.972e+00      0.395    0.693
x7         2.081e-01     2.207e+00   7.867e+00      0.280    0.779

Liu Summary
           R2 adj-R2   F    AIC   BIC  MSE
d=0.55 0.9961 0.9921 330 -3.645 40.08 8059
-------------------------------


Coefficients for Liu parameter d= 0.6 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  3.588e-01    -1.083e+03   1.847e+04     -0.059    0.953
x1         1.624e-02     2.041e+00   6.611e+00      0.309    0.758
x2         1.528e-03     2.149e+00   6.586e+01      0.033    0.974
x3         2.104e-03     2.134e+00   4.917e+01      0.043    0.965
x4         6.714e-01     2.051e+01   2.392e+01      0.857    0.391
x5         7.781e-01     8.641e+00   1.236e+01      0.699    0.484
x6         2.215e-01     2.096e+00   5.861e+00      0.358    0.721
x7         1.850e-01     1.961e+00   7.723e+00      0.254    0.800

Liu Summary
          R2 adj-R2     F    AIC   BIC  MSE
d=0.6 0.9969 0.9938 407.1 -6.597 37.33 7747
-------------------------------


Coefficients for Liu parameter d= 0.65 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  3.139e-01    -9.682e+02   1.771e+04     -0.055    0.956
x1         1.421e-02     1.786e+00   6.336e+00      0.282    0.778
x2         1.337e-03     1.881e+00   6.316e+01      0.030    0.976
x3         1.841e-03     1.867e+00   4.715e+01      0.040    0.968
x4         7.125e-01     2.176e+01   2.294e+01      0.949    0.343
x5         8.058e-01     8.949e+00   1.185e+01      0.755    0.450
x6         1.938e-01     1.834e+00   5.617e+00      0.327    0.744
x7         1.619e-01     1.716e+00   7.404e+00      0.232    0.817

Liu Summary
           R2 adj-R2     F    AIC   BIC  MSE
d=0.65 0.9976 0.9952 519.5 -10.02 34.11 7104
-------------------------------


Coefficients for Liu parameter d= 0.7 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  2.691e-01    -8.537e+02   1.651e+04     -0.052    0.959
x1         1.218e-02     1.531e+00   5.907e+00      0.259    0.796
x2         1.146e-03     1.612e+00   5.891e+01      0.027    0.978
x3         1.578e-03     1.601e+00   4.397e+01      0.036    0.971
x4         7.536e-01     2.302e+01   2.139e+01      1.076    0.282
x5         8.336e-01     9.257e+00   1.105e+01      0.838    0.402
x6         1.661e-01     1.572e+00   5.235e+00      0.300    0.764
x7         1.388e-01     1.471e+00   6.903e+00      0.213    0.831

Liu Summary
          R2 adj-R2     F    AIC   BIC  MSE
d=0.7 0.9982 0.9965 692.7 -14.06 30.28 6166
-------------------------------


Coefficients for Liu parameter d= 0.75 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  2.242e-01    -7.392e+02   1.488e+04     -0.050    0.960
x1         1.015e-02     1.276e+00   5.319e+00      0.240    0.810
x2         9.551e-04     1.343e+00   5.306e+01      0.025    0.980
x3         1.315e-03     1.334e+00   3.961e+01      0.034    0.973
x4         7.946e-01     2.427e+01   1.927e+01      1.259    0.208
x5         8.613e-01     9.565e+00   9.955e+00      0.961    0.337
x6         1.384e-01     1.310e+00   4.714e+00      0.278    0.781
x7         1.156e-01     1.226e+00   6.217e+00      0.197    0.844

Liu Summary
           R2 adj-R2     F    AIC  BIC  MSE
d=0.75 0.9988 0.9976 979.9 -18.95 25.6 4995
-------------------------------


Coefficients for Liu parameter d= 0.8 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)
Intercept  1.794e-01    -6.247e+02   1.279e+04     -0.049    0.961
x1         8.122e-03     1.020e+00   4.571e+00      0.223    0.823
x2         7.641e-04     1.075e+00   4.562e+01      0.024    0.981
x3         1.052e-03     1.067e+00   3.405e+01      0.031    0.975
x4         8.357e-01     2.553e+01   1.657e+01      1.541    0.123
x5         8.891e-01     9.873e+00   8.557e+00      1.154    0.249
x6         1.107e-01     1.048e+00   4.050e+00      0.259    0.796
x7         9.250e-02     9.807e-01   5.343e+00      0.184    0.854

Liu Summary
          R2 adj-R2    F    AIC   BIC  MSE
d=0.8 0.9992 0.9984 1509 -25.06 19.69 3686
-------------------------------


Coefficients for Liu parameter d= 0.85 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)  
Intercept  1.345e-01    -5.101e+02   1.025e+04     -0.050   0.9603  
x1         6.091e-03     7.653e-01   3.663e+00      0.209   0.8345  
x2         5.730e-04     8.060e-01   3.656e+01      0.022   0.9824  
x3         7.890e-04     8.003e-01   2.729e+01      0.029   0.9766  
x4         8.768e-01     2.678e+01   1.328e+01      2.017   0.0437 *
x5         9.168e-01     1.018e+01   6.858e+00      1.485   0.1377  
x6         8.305e-02     7.861e-01   3.245e+00      0.242   0.8086  
x7         6.938e-02     7.355e-01   4.282e+00      0.172   0.8636  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Liu Summary
           R2 adj-R2    F    AIC   BIC  MSE
d=0.85 0.9996 0.9991 2651 -33.11 11.85 2366
-------------------------------


Coefficients for Liu parameter d= 0.9 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)   
Intercept  8.970e-02    -3.956e+02   7.266e+03     -0.054  0.95658   
x1         4.061e-03     5.102e-01   2.596e+00      0.197  0.84416   
x2         3.820e-04     5.373e-01   2.592e+01      0.021  0.98346   
x3         5.260e-04     5.335e-01   1.935e+01      0.028  0.97800   
x4         9.179e-01     2.803e+01   9.412e+00      2.979  0.00289 **
x5         9.445e-01     1.049e+01   4.861e+00      2.158  0.03094 * 
x6         5.537e-02     5.241e-01   2.300e+00      0.228  0.81973   
x7         4.625e-02     4.903e-01   3.035e+00      0.162  0.87163   
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Liu Summary
          R2 adj-R2    F    AIC    BIC  MSE
d=0.9 0.9998 0.9996 5915 -44.69 0.4706 1188
-------------------------------


Coefficients for Liu parameter d= 0.95 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)    
Intercept  4.485e-02    -2.811e+02   3.845e+03     -0.073    0.942    
x1         2.030e-03     2.551e-01   1.373e+00      0.186    0.853    
x2         1.910e-04     2.687e-01   1.371e+01      0.020    0.984    
x3         2.630e-04     2.668e-01   1.024e+01      0.026    0.979    
x4         9.589e-01     2.929e+01   4.980e+00      5.882 4.06e-09 ***
x5         9.723e-01     1.080e+01   2.572e+00      4.198 2.69e-05 ***
x6         2.768e-02     2.620e-01   1.216e+00      0.215    0.829    
x7         2.313e-02     2.452e-01   1.605e+00      0.153    0.879    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Liu Summary
       R2 adj-R2     F    AIC    BIC   MSE
d=0.95  1 0.9999 23538 -64.91 -19.54 332.2
-------------------------------


Coefficients for Liu parameter d= 1 
            Estimate Estimate (Sc) StdErr (Sc) t-val (Sc) Pr(>|t|)    
Intercept -3.553e-15    -1.665e+02   2.816e+00 -5.914e+01   <2e-16 ***
x1        -3.606e-17    -4.531e-15   1.589e-13 -2.900e-02    0.977    
x2        -2.012e-17    -2.829e-14   1.587e-12 -1.800e-02    0.986    
x3        -1.293e-17    -1.312e-14   1.185e-12 -1.100e-02    0.991    
x4         1.000e+00     3.054e+01   5.763e-13  5.300e+13   <2e-16 ***
x5         1.000e+00     1.111e+01   2.977e-13  3.731e+13   <2e-16 ***
x6         1.187e-15     1.123e-14   1.407e-13  8.000e-02    0.936    
x7         1.004e-15     1.065e-14   1.858e-13  5.700e-02    0.954    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Liu Summary
    R2 adj-R2         F    AIC    BIC       MSE
d=1  1      1 1.947e+30 -959.5 -913.9 4.423e-24
-------------------------------

Dear Sir,
In fact, i want to apply Liu regression Using Jmppro, I love techniqe & smoothing Jmppro.

regards

 

Řaëd ~✍