R Under development (unstable) (2024-03-16 r86144 ucrt) -- "Unsuffered Consequences"
Copyright (C) 2024 The R Foundation for Statistical Computing
Platform: x86_64-w64-mingw32/x64

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(testthat)
> library(packDAMipd)
> 
> test_check("packDAMipd")
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead

Call:
lm(formula = gre ~ gpa, data = dataset)

Residuals:
     Min       1Q   Median       3Q      Max 
-302.394  -62.789   -2.206   68.506  283.438 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)   192.30      47.92   4.013 7.15e-05 ***
gpa           116.64      14.05   8.304 1.60e-15 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 106.8 on 398 degrees of freedom
Multiple R-squared:  0.1477,	Adjusted R-squared:  0.1455 
F-statistic: 68.95 on 1 and 398 DF,  p-value: 1.596e-15


ASSESSMENT OF THE LINEAR MODEL ASSUMPTIONS
USING THE GLOBAL TEST ON 4 DEGREES-OF-FREEDOM:
Level of Significance =  0.05 

Call:
 gvlma::gvlma(x = fit) 

                    Value p-value                Decision
Global Stat        2.7853  0.5944 Assumptions acceptable.
Skewness           0.1510  0.6975 Assumptions acceptable.
Kurtosis           0.9735  0.3238 Assumptions acceptable.
Link Function      0.3578  0.5497 Assumptions acceptable.
Heteroscedasticity 1.3030  0.2537 Assumptions acceptable.
[1] "i= 1 and j =  1"
[1] "i= 1 and j =  2"
[1] "i= 2 and j =  1"
[1] "i= 2 and j =  2"
[1] "i= 3 and j =  1"
[1] "i= 3 and j =  2"
$stats
         [,1]     [,2]
[1,] 35.62186 37.20490
[2,] 47.35844 48.63362
[3,] 52.71848 51.79091
[4,] 55.90675 58.49112
[5,] 63.60830 65.19133

$n
[1] 109  91

$conf
         [,1]     [,2]
[1,] 51.42481 50.15822
[2,] 54.01215 53.42360

$out
numeric(0)

$group
numeric(0)

$names
[1] "female" "male"  


Call:
lm(formula = admit ~ gpa, data = dataset)

Residuals:
    Min      1Q  Median      3Q     Max 
-0.4507 -0.3312 -0.2531  0.5908  0.8942 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -0.42238    0.20606  -2.050 0.041037 *  
gpa          0.21826    0.06041   3.613 0.000341 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 0.4592 on 398 degrees of freedom
Multiple R-squared:  0.03176,	Adjusted R-squared:  0.02933 
F-statistic: 13.05 on 1 and 398 DF,  p-value: 0.0003412


ASSESSMENT OF THE LINEAR MODEL ASSUMPTIONS
USING THE GLOBAL TEST ON 4 DEGREES-OF-FREEDOM:
Level of Significance =  0.05 

Call:
 gvlma::gvlma(x = fit) 

                     Value   p-value                   Decision
Global Stat        66.0026 1.582e-13 Assumptions NOT satisfied!
Skewness           37.1456 1.096e-09 Assumptions NOT satisfied!
Kurtosis           28.0492 1.183e-07 Assumptions NOT satisfied!
Link Function       0.5683 4.509e-01    Assumptions acceptable.
Heteroscedasticity  0.2394 6.247e-01    Assumptions acceptable.
Start:  AIC=6.76
expression ~ temperature + treatment

              Df Sum of Sq    RSS    AIC
- treatment    4     5.255 25.529  4.523
<none>                     20.274  6.762
- temperature  1    40.306 60.581 32.127

Step:  AIC=4.52
expression ~ temperature

              Df Sum of Sq     RSS    AIC
<none>                      25.529  4.523
+ treatment    4     5.255  20.274  6.762
- temperature  1   219.509 245.038 59.063

Call:
lm(formula = expression ~ temperature + treatment, data = dataset)

Residuals:
    Min      1Q  Median      3Q     Max 
-2.3417 -0.5409  0.0743  0.5725  1.6273 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept)  -8.0714     1.5734  -5.130 5.95e-05 ***
temperature   0.8168     0.1329   6.146 6.59e-06 ***
treatmentB    0.2796     0.6539   0.428    0.674    
treatmentC    0.4602     0.6573   0.700    0.492    
treatmentD    1.3629     0.6814   2.000    0.060 .  
treatmentE    1.7445     1.1304   1.543    0.139    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 1.033 on 19 degrees of freedom
Multiple R-squared:  0.9173,	Adjusted R-squared:  0.8955 
F-statistic: 42.13 on 5 and 19 DF,  p-value: 1.232e-09


ASSESSMENT OF THE LINEAR MODEL ASSUMPTIONS
USING THE GLOBAL TEST ON 4 DEGREES-OF-FREEDOM:
Level of Significance =  0.05 

Call:
 gvlma::gvlma(x = fit) 

                      Value p-value                   Decision
Global Stat        11.02282 0.02631 Assumptions NOT satisfied!
Skewness            0.44187 0.50622    Assumptions acceptable.
Kurtosis            0.01247 0.91109    Assumptions acceptable.
Link Function       9.42560 0.00214 Assumptions NOT satisfied!
Heteroscedasticity  1.14288 0.28504    Assumptions acceptable.
Start:  AIC=486.34
admit ~ gpa + gre

       Df Deviance    AIC
<none>      480.34 486.34
- gpa   1   486.06 490.06
- gre   1   486.97 490.97
[1] "i= 1 and j =  1"
[1] "i= 1 and j =  2"
[1] "i= 2 and j =  1"
[1] "i= 2 and j =  2"
[1] "i= 3 and j =  1"
[1] "i= 3 and j =  2"
[1] "i= 1 and j =  1"
[1] "i= 1 and j =  2"
[1] "i= 2 and j =  1"
[1] "i= 2 and j =  2"
[1] "i= 3 and j =  1"
[1] "i= 3 and j =  2"
[1] "i= 1 and j =  1"
[1] "i= 1 and j =  2"
[1] "i= 2 and j =  1"
[1] "i= 2 and j =  2"
[1] "i= 3 and j =  1"
[1] "i= 3 and j =  2"
[1] "i= 1 and j =  1"
[1] "i= 1 and j =  2"
[1] "i= 2 and j =  1"
[1] "i= 2 and j =  2"
[1] "i= 3 and j =  1"
[1] "i= 3 and j =  2"
[1] "i= 1 and j =  1"
[1] "i= 1 and j =  2"
NULL
NULL
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
    transition number          probability name  from from state    to to state
                <num>                    <char> <int>     <char> <int>   <char>
 1:                 1         prob_well_to_well     1       well     1     well
 2:                 2     prob_well_to_disabled     1       well     2 disabled
 3:                 3         prob_well_to_dead     1       well     3     dead
 4:                 4        prob_well_to_dead2     1       well     4    dead2
 5:                 5 prob_disabled_to_disabled     2   disabled     2 disabled
 6:                 6     prob_disabled_to_dead     2   disabled     3     dead
 7:                 7    prob_disabled_to_dead2     2   disabled     4    dead2
 8:                 8         prob_dead_to_dead     3       dead     3     dead
 9:                 9        prob_dead_to_dead2     3       dead     4    dead2
10:                10       prob_dead2_to_dead2     4      dead2     4    dead2
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
   transition number          probability name  from from state    to to state
               <num>                    <char> <int>     <char> <int>   <char>
1:                 1         prob_well_to_well     1       well     1     well
2:                 2     prob_well_to_disabled     1       well     2 disabled
3:                 3         prob_well_to_dead     1       well     3     dead
4:                 4 prob_disabled_to_disabled     2   disabled     2 disabled
5:                 5     prob_disabled_to_dead     2   disabled     3     dead
6:                 6         prob_dead_to_dead     3       dead     3     dead
[1] "The transition matrix as explained"
   transition number probability name  from from state    to to state
               <num>           <char> <int>     <char> <int>   <char>
1:                 1      prob_A_to_A     1          A     1        A
2:                 2      prob_A_to_B     1          A     2        B
3:                 3      prob_A_to_C     1          A     3        C
4:                 4      prob_B_to_B     2          B     2        B
5:                 5      prob_B_to_C     2          B     3        C
6:                 6      prob_C_to_C     3          C     3        C
[1] "The transition matrix as explained"
   transition number probability name  from from state    to to state
               <num>           <char> <int>     <char> <int>   <char>
1:                 1      prob_A_to_A     1          A     1        A
2:                 2      prob_A_to_B     1          A     2        B
3:                 3      prob_A_to_C     1          A     3        C
4:                 4      prob_B_to_B     2          B     2        B
5:                 5      prob_B_to_C     2          B     3        C
6:                 6      prob_C_to_C     3          C     3        C
[1] "The transition matrix as explained"
   transition number probability name  from from state    to to state
               <num>           <char> <int>     <char> <int>   <char>
1:                 1      prob_A_to_A     1          A     1        A
2:                 2      prob_A_to_B     1          A     2        B
3:                 3      prob_A_to_C     1          A     3        C
4:                 4      prob_B_to_B     2          B     2        B
5:                 5      prob_B_to_C     2          B     3        C
6:                 6      prob_C_to_C     3          C     3        C
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
    transition number probability name  from from state    to to state
                <num>           <char> <int>     <char> <int>   <char>
 1:                 1      prob_A_to_A     1          A     1        A
 2:                 2      prob_A_to_B     1          A     2        B
 3:                 3      prob_A_to_C     1          A     3        C
 4:                 4      prob_A_to_D     1          A     4        D
 5:                 5      prob_B_to_B     2          B     2        B
 6:                 6      prob_B_to_C     2          B     3        C
 7:                 7      prob_B_to_D     2          B     4        D
 8:                 8      prob_C_to_C     3          C     3        C
 9:                 9      prob_C_to_D     3          C     4        D
10:                10      prob_D_to_D     4          D     4        D
[1] "The transition matrix as explained"
   transition number probability name  from from state    to to state
               <num>           <char> <int>     <char> <int>   <char>
1:                 1      prob_A_to_A     1          A     1        A
2:                 2      prob_A_to_B     1          A     2        B
3:                 3      prob_A_to_C     1          A     3        C
4:                 4      prob_B_to_B     2          B     2        B
5:                 5      prob_B_to_C     2          B     3        C
6:                 6      prob_C_to_C     3          C     3        C
[1] "The transition matrix as explained"
   transition number probability name  from from state    to to state
               <num>           <char> <int>     <char> <int>   <char>
1:                 1      prob_A_to_A     1          A     1        A
2:                 2      prob_A_to_B     1          A     2        B
3:                 3      prob_A_to_C     1          A     3        C
4:                 4      prob_B_to_B     2          B     2        B
5:                 5      prob_B_to_C     2          B     3        C
6:                 6      prob_C_to_C     3          C     3        C
[1] "The transition matrix as explained"
   transition number probability name  from from state    to to state
               <num>           <char> <int>     <char> <int>   <char>
1:                 1      prob_A_to_A     1          A     1        A
2:                 2      prob_A_to_B     1          A     2        B
3:                 3      prob_A_to_C     1          A     3        C
4:                 4      prob_B_to_B     2          B     2        B
5:                 5      prob_B_to_C     2          B     3        C
6:                 6      prob_C_to_C     3          C     3        C
[1] "The transition matrix as explained"
   transition number probability name  from from state    to to state
               <num>           <char> <int>     <char> <int>   <char>
1:                 1      prob_A_to_A     1          A     1        A
2:                 2      prob_A_to_B     1          A     2        B
3:                 3      prob_A_to_C     1          A     3        C
4:                 4      prob_B_to_B     2          B     2        B
5:                 5      prob_B_to_C     2          B     3        C
6:                 6      prob_C_to_C     3          C     3        C
[1] "The transition matrix as explained"
   transition number        probability name  from from state    to to state
               <num>                  <char> <int>     <char> <int>   <char>
1:                 1 prob_Healthy_to_Healthy     1    Healthy     1  Healthy
2:                 2    prob_Healthy_to_Dead     1    Healthy     2     Dead
3:                 3    prob_Dead_to_Healthy     2       Dead     1  Healthy
4:                 4       prob_Dead_to_Dead     2       Dead     2     Dead
[1] "For the distributions other than gamma,the code is not equipped to\n          estimate the parameters"
[1] "For the distributions other than gamma,the code is not equipped to\n          estimate the parameters"

Call:
lm(formula = admit ~ gre, data = dataset)

Residuals:
    Min      1Q  Median      3Q     Max 
-0.4755 -0.3415 -0.2522  0.5989  0.8966 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -0.1198407  0.1190510  -1.007 0.314722    
gre          0.0007442  0.0001988   3.744 0.000208 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 0.4587 on 398 degrees of freedom
Multiple R-squared:  0.03402,	Adjusted R-squared:  0.03159 
F-statistic: 14.02 on 1 and 398 DF,  p-value: 0.0002081


ASSESSMENT OF THE LINEAR MODEL ASSUMPTIONS
USING THE GLOBAL TEST ON 4 DEGREES-OF-FREEDOM:
Level of Significance =  0.05 

Call:
 gvlma::gvlma(x = fit) 

                       Value   p-value                   Decision
Global Stat        65.312437 2.212e-13 Assumptions NOT satisfied!
Skewness           36.445627 1.570e-09 Assumptions NOT satisfied!
Kurtosis           28.227938 1.078e-07 Assumptions NOT satisfied!
Link Function       0.002174 9.628e-01    Assumptions acceptable.
Heteroscedasticity  0.636699 4.249e-01    Assumptions acceptable.

Call:
lm(formula = admit ~ gre, data = dataset)

Residuals:
    Min      1Q  Median      3Q     Max 
-0.4755 -0.3415 -0.2522  0.5989  0.8966 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -0.1198407  0.1190510  -1.007 0.314722    
gre          0.0007442  0.0001988   3.744 0.000208 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 0.4587 on 398 degrees of freedom
Multiple R-squared:  0.03402,	Adjusted R-squared:  0.03159 
F-statistic: 14.02 on 1 and 398 DF,  p-value: 0.0002081


ASSESSMENT OF THE LINEAR MODEL ASSUMPTIONS
USING THE GLOBAL TEST ON 4 DEGREES-OF-FREEDOM:
Level of Significance =  0.05 

Call:
 gvlma::gvlma(x = fit) 

                       Value   p-value                   Decision
Global Stat        65.312437 2.212e-13 Assumptions NOT satisfied!
Skewness           36.445627 1.570e-09 Assumptions NOT satisfied!
Kurtosis           28.227938 1.078e-07 Assumptions NOT satisfied!
Link Function       0.002174 9.628e-01    Assumptions acceptable.
Heteroscedasticity  0.636699 4.249e-01    Assumptions acceptable.
Start:  AIC=65.77
mpg ~ hp + wt + drat + disp

       Df Sum of Sq    RSS    AIC
- disp  1     0.844 183.68 63.919
<none>              182.84 65.772
- drat  1    12.153 194.99 65.831
- hp    1    60.916 243.75 72.974
- wt    1    70.508 253.35 74.209

Step:  AIC=63.92
mpg ~ hp + wt + drat

       Df Sum of Sq    RSS    AIC
- drat  1    11.366 195.05 63.840
<none>              183.68 63.919
+ disp  1     0.844 182.84 65.772
- hp    1    85.559 269.24 74.156
- wt    1   107.771 291.45 76.693

Step:  AIC=63.84
mpg ~ hp + wt

       Df Sum of Sq    RSS    AIC
<none>              195.05 63.840
+ drat  1    11.366 183.68 63.919
+ disp  1     0.057 194.99 65.831
- hp    1    83.274 278.32 73.217
- wt    1   252.627 447.67 88.427

Call:
lm(formula = mpg ~ hp + wt + drat + disp, data = dataset)

Residuals:
    Min      1Q  Median      3Q     Max 
-3.5077 -1.9052 -0.5057  0.9821  5.6883 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 29.148738   6.293588   4.631  8.2e-05 ***
hp          -0.034784   0.011597  -2.999  0.00576 ** 
wt          -3.479668   1.078371  -3.227  0.00327 ** 
drat         1.768049   1.319779   1.340  0.19153    
disp         0.003815   0.010805   0.353  0.72675    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 2.602 on 27 degrees of freedom
Multiple R-squared:  0.8376,	Adjusted R-squared:  0.8136 
F-statistic: 34.82 on 4 and 27 DF,  p-value: 2.704e-10


ASSESSMENT OF THE LINEAR MODEL ASSUMPTIONS
USING THE GLOBAL TEST ON 4 DEGREES-OF-FREEDOM:
Level of Significance =  0.05 

Call:
 gvlma::gvlma(x = fit) 

                      Value  p-value                   Decision
Global Stat        13.93816 0.007495 Assumptions NOT satisfied!
Skewness            4.31310 0.037820 Assumptions NOT satisfied!
Kurtosis            0.01378 0.906542    Assumptions acceptable.
Link Function       8.71658 0.003153 Assumptions NOT satisfied!
Heteroscedasticity  0.89470 0.344207    Assumptions acceptable.
[ FAIL 0 | WARN 1 | SKIP 0 | PASS 1185 ]

[ FAIL 0 | WARN 1 | SKIP 0 | PASS 1185 ]
> 
> proc.time()
   user  system elapsed 
  82.43    4.75   87.31