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tests/testthat/_snaps/stepwise-output.md
In olsrr: Tools for Building OLS Regression Models
output from stepwise regression is as expected
Code
ols_step_both_p(model)
Output
Stepwise Summary
------------------------------------------------------------------------------
Step Variable AIC SBC SBIC R2 Adj. R2
------------------------------------------------------------------------------
0 Base Model 802.606 806.584 646.794 0.00000 0.00000
1 liver_test (+) 771.875 777.842 616.009 0.45454 0.44405
2 alc_heavy (+) 761.439 769.395 605.506 0.56674 0.54975
3 enzyme_test (+) 750.509 760.454 595.297 0.65900 0.63854
4 pindex (+) 735.715 747.649 582.943 0.75015 0.72975
5 bcs (+) 730.620 744.543 579.638 0.78091 0.75808
------------------------------------------------------------------------------
Final Model Output
------------------
Model Summary
-------------------------------------------------------------------
R 0.884 RMSE 184.276
R-Squared 0.781 MSE 38202.426
Adj. R-Squared 0.758 Coef. Var 27.839
Pred R-Squared 0.700 AIC 730.620
MAE 137.656 SBC 744.543
-------------------------------------------------------------------
RMSE: Root Mean Square Error
MSE: Mean Square Error
MAE: Mean Absolute Error
AIC: Akaike Information Criteria
SBC: Schwarz Bayesian Criteria
ANOVA
-----------------------------------------------------------------------
Sum of
Squares DF Mean Square F Sig.
-----------------------------------------------------------------------
Regression 6535804.090 5 1307160.818 34.217 0.0000
Residual 1833716.447 48 38202.426
Total 8369520.537 53
-----------------------------------------------------------------------
Parameter Estimates
------------------------------------------------------------------------------------------------
model Beta Std. Error Std. Beta t Sig lower upper
------------------------------------------------------------------------------------------------
(Intercept) -1178.330 208.682 -5.647 0.000 -1597.914 -758.746
liver_test 58.064 40.144 0.156 1.446 0.155 -22.652 138.779
alc_heavy 317.848 71.634 0.314 4.437 0.000 173.818 461.878
enzyme_test 9.748 1.656 0.521 5.887 0.000 6.419 13.077
pindex 8.924 1.808 0.380 4.935 0.000 5.288 12.559
bcs 59.864 23.060 0.241 2.596 0.012 13.498 106.230
------------------------------------------------------------------------------------------------
Code
ols_step_both_p(model, progress = TRUE)
Output
Stepwise Selection Method
-------------------------
Candidate Terms:
1. bcs
2. pindex
3. enzyme_test
4. liver_test
5. age
6. gender
7. alc_mod
8. alc_heavy
Variables Added/Removed:
=> liver_test added
=> alc_heavy added
=> enzyme_test added
=> pindex added
=> bcs added
No more variables to be added or removed.
Stepwise Summary
------------------------------------------------------------------------------
Step Variable AIC SBC SBIC R2 Adj. R2
------------------------------------------------------------------------------
0 Base Model 802.606 806.584 646.794 0.00000 0.00000
1 liver_test (+) 771.875 777.842 616.009 0.45454 0.44405
2 alc_heavy (+) 761.439 769.395 605.506 0.56674 0.54975
3 enzyme_test (+) 750.509 760.454 595.297 0.65900 0.63854
4 pindex (+) 735.715 747.649 582.943 0.75015 0.72975
5 bcs (+) 730.620 744.543 579.638 0.78091 0.75808
------------------------------------------------------------------------------
Final Model Output
------------------
Model Summary
-------------------------------------------------------------------
R 0.884 RMSE 184.276
R-Squared 0.781 MSE 38202.426
Adj. R-Squared 0.758 Coef. Var 27.839
Pred R-Squared 0.700 AIC 730.620
MAE 137.656 SBC 744.543
-------------------------------------------------------------------
RMSE: Root Mean Square Error
MSE: Mean Square Error
MAE: Mean Absolute Error
AIC: Akaike Information Criteria
SBC: Schwarz Bayesian Criteria
ANOVA
-----------------------------------------------------------------------
Sum of
Squares DF Mean Square F Sig.
-----------------------------------------------------------------------
Regression 6535804.090 5 1307160.818 34.217 0.0000
Residual 1833716.447 48 38202.426
Total 8369520.537 53
-----------------------------------------------------------------------
Parameter Estimates
------------------------------------------------------------------------------------------------
model Beta Std. Error Std. Beta t Sig lower upper
------------------------------------------------------------------------------------------------
(Intercept) -1178.330 208.682 -5.647 0.000 -1597.914 -758.746
liver_test 58.064 40.144 0.156 1.446 0.155 -22.652 138.779
alc_heavy 317.848 71.634 0.314 4.437 0.000 173.818 461.878
enzyme_test 9.748 1.656 0.521 5.887 0.000 6.419 13.077
pindex 8.924 1.808 0.380 4.935 0.000 5.288 12.559
bcs 59.864 23.060 0.241 2.596 0.012 13.498 106.230
------------------------------------------------------------------------------------------------
Code
ols_step_both_p(model, details = TRUE)
Output
Stepwise Selection Method
-------------------------
Candidate Terms:
1. bcs
2. pindex
3. enzyme_test
4. liver_test
5. age
6. gender
7. alc_mod
8. alc_heavy
Step => 0
Model => y ~ 1
R2 => 0
Initiating stepwise selection...
Step => 1
Selected => liver_test
Model => y ~ liver_test
R2 => 0.455
Step => 2
Selected => alc_heavy
Model => y ~ liver_test + alc_heavy
R2 => 0.567
Step => 3
Selected => enzyme_test
Model => y ~ liver_test + alc_heavy + enzyme_test
R2 => 0.659
Step => 4
Selected => pindex
Model => y ~ liver_test + alc_heavy + enzyme_test + pindex
R2 => 0.75
Step => 5
Selected => bcs
Model => y ~ liver_test + alc_heavy + enzyme_test + pindex + bcs
R2 => 0.781
No more variables to be added or removed.
Stepwise Summary
------------------------------------------------------------------------------
Step Variable AIC SBC SBIC R2 Adj. R2
------------------------------------------------------------------------------
0 Base Model 802.606 806.584 646.794 0.00000 0.00000
1 liver_test (+) 771.875 777.842 616.009 0.45454 0.44405
2 alc_heavy (+) 761.439 769.395 605.506 0.56674 0.54975
3 enzyme_test (+) 750.509 760.454 595.297 0.65900 0.63854
4 pindex (+) 735.715 747.649 582.943 0.75015 0.72975
5 bcs (+) 730.620 744.543 579.638 0.78091 0.75808
------------------------------------------------------------------------------
Final Model Output
------------------
Model Summary
-------------------------------------------------------------------
R 0.884 RMSE 184.276
R-Squared 0.781 MSE 38202.426
Adj. R-Squared 0.758 Coef. Var 27.839
Pred R-Squared 0.700 AIC 730.620
MAE 137.656 SBC 744.543
-------------------------------------------------------------------
RMSE: Root Mean Square Error
MSE: Mean Square Error
MAE: Mean Absolute Error
AIC: Akaike Information Criteria
SBC: Schwarz Bayesian Criteria
ANOVA
-----------------------------------------------------------------------
Sum of
Squares DF Mean Square F Sig.
-----------------------------------------------------------------------
Regression 6535804.090 5 1307160.818 34.217 0.0000
Residual 1833716.447 48 38202.426
Total 8369520.537 53
-----------------------------------------------------------------------
Parameter Estimates
------------------------------------------------------------------------------------------------
model Beta Std. Error Std. Beta t Sig lower upper
------------------------------------------------------------------------------------------------
(Intercept) -1178.330 208.682 -5.647 0.000 -1597.914 -758.746
liver_test 58.064 40.144 0.156 1.446 0.155 -22.652 138.779
alc_heavy 317.848 71.634 0.314 4.437 0.000 173.818 461.878
enzyme_test 9.748 1.656 0.521 5.887 0.000 6.419 13.077
pindex 8.924 1.808 0.380 4.935 0.000 5.288 12.559
bcs 59.864 23.060 0.241 2.596 0.012 13.498 106.230
------------------------------------------------------------------------------------------------
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olsrr documentation built on May 29, 2024, 12:35 p.m.
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output from stepwise regression is as expected
Code
ols_step_both_p(model)
Output
Stepwise Summary
------------------------------------------------------------------------------
Step Variable AIC SBC SBIC R2 Adj. R2
------------------------------------------------------------------------------
0 Base Model 802.606 806.584 646.794 0.00000 0.00000
1 liver_test (+) 771.875 777.842 616.009 0.45454 0.44405
2 alc_heavy (+) 761.439 769.395 605.506 0.56674 0.54975
3 enzyme_test (+) 750.509 760.454 595.297 0.65900 0.63854
4 pindex (+) 735.715 747.649 582.943 0.75015 0.72975
5 bcs (+) 730.620 744.543 579.638 0.78091 0.75808
------------------------------------------------------------------------------
Final Model Output
------------------
Model Summary
-------------------------------------------------------------------
R 0.884 RMSE 184.276
R-Squared 0.781 MSE 38202.426
Adj. R-Squared 0.758 Coef. Var 27.839
Pred R-Squared 0.700 AIC 730.620
MAE 137.656 SBC 744.543
-------------------------------------------------------------------
RMSE: Root Mean Square Error
MSE: Mean Square Error
MAE: Mean Absolute Error
AIC: Akaike Information Criteria
SBC: Schwarz Bayesian Criteria
ANOVA
-----------------------------------------------------------------------
Sum of
Squares DF Mean Square F Sig.
-----------------------------------------------------------------------
Regression 6535804.090 5 1307160.818 34.217 0.0000
Residual 1833716.447 48 38202.426
Total 8369520.537 53
-----------------------------------------------------------------------
Parameter Estimates
------------------------------------------------------------------------------------------------
model Beta Std. Error Std. Beta t Sig lower upper
------------------------------------------------------------------------------------------------
(Intercept) -1178.330 208.682 -5.647 0.000 -1597.914 -758.746
liver_test 58.064 40.144 0.156 1.446 0.155 -22.652 138.779
alc_heavy 317.848 71.634 0.314 4.437 0.000 173.818 461.878
enzyme_test 9.748 1.656 0.521 5.887 0.000 6.419 13.077
pindex 8.924 1.808 0.380 4.935 0.000 5.288 12.559
bcs 59.864 23.060 0.241 2.596 0.012 13.498 106.230
------------------------------------------------------------------------------------------------
Code
ols_step_both_p(model, progress = TRUE)
Output
Stepwise Selection Method
-------------------------
Candidate Terms:
1. bcs
2. pindex
3. enzyme_test
4. liver_test
5. age
6. gender
7. alc_mod
8. alc_heavy
Variables Added/Removed:
=> liver_test added
=> alc_heavy added
=> enzyme_test added
=> pindex added
=> bcs added
No more variables to be added or removed.
Stepwise Summary
------------------------------------------------------------------------------
Step Variable AIC SBC SBIC R2 Adj. R2
------------------------------------------------------------------------------
0 Base Model 802.606 806.584 646.794 0.00000 0.00000
1 liver_test (+) 771.875 777.842 616.009 0.45454 0.44405
2 alc_heavy (+) 761.439 769.395 605.506 0.56674 0.54975
3 enzyme_test (+) 750.509 760.454 595.297 0.65900 0.63854
4 pindex (+) 735.715 747.649 582.943 0.75015 0.72975
5 bcs (+) 730.620 744.543 579.638 0.78091 0.75808
------------------------------------------------------------------------------
Final Model Output
------------------
Model Summary
-------------------------------------------------------------------
R 0.884 RMSE 184.276
R-Squared 0.781 MSE 38202.426
Adj. R-Squared 0.758 Coef. Var 27.839
Pred R-Squared 0.700 AIC 730.620
MAE 137.656 SBC 744.543
-------------------------------------------------------------------
RMSE: Root Mean Square Error
MSE: Mean Square Error
MAE: Mean Absolute Error
AIC: Akaike Information Criteria
SBC: Schwarz Bayesian Criteria
ANOVA
-----------------------------------------------------------------------
Sum of
Squares DF Mean Square F Sig.
-----------------------------------------------------------------------
Regression 6535804.090 5 1307160.818 34.217 0.0000
Residual 1833716.447 48 38202.426
Total 8369520.537 53
-----------------------------------------------------------------------
Parameter Estimates
------------------------------------------------------------------------------------------------
model Beta Std. Error Std. Beta t Sig lower upper
------------------------------------------------------------------------------------------------
(Intercept) -1178.330 208.682 -5.647 0.000 -1597.914 -758.746
liver_test 58.064 40.144 0.156 1.446 0.155 -22.652 138.779
alc_heavy 317.848 71.634 0.314 4.437 0.000 173.818 461.878
enzyme_test 9.748 1.656 0.521 5.887 0.000 6.419 13.077
pindex 8.924 1.808 0.380 4.935 0.000 5.288 12.559
bcs 59.864 23.060 0.241 2.596 0.012 13.498 106.230
------------------------------------------------------------------------------------------------
Code
ols_step_both_p(model, details = TRUE)
Output
Stepwise Selection Method
-------------------------
Candidate Terms:
1. bcs
2. pindex
3. enzyme_test
4. liver_test
5. age
6. gender
7. alc_mod
8. alc_heavy
Step => 0
Model => y ~ 1
R2 => 0
Initiating stepwise selection...
Step => 1
Selected => liver_test
Model => y ~ liver_test
R2 => 0.455
Step => 2
Selected => alc_heavy
Model => y ~ liver_test + alc_heavy
R2 => 0.567
Step => 3
Selected => enzyme_test
Model => y ~ liver_test + alc_heavy + enzyme_test
R2 => 0.659
Step => 4
Selected => pindex
Model => y ~ liver_test + alc_heavy + enzyme_test + pindex
R2 => 0.75
Step => 5
Selected => bcs
Model => y ~ liver_test + alc_heavy + enzyme_test + pindex + bcs
R2 => 0.781
No more variables to be added or removed.
Stepwise Summary
------------------------------------------------------------------------------
Step Variable AIC SBC SBIC R2 Adj. R2
------------------------------------------------------------------------------
0 Base Model 802.606 806.584 646.794 0.00000 0.00000
1 liver_test (+) 771.875 777.842 616.009 0.45454 0.44405
2 alc_heavy (+) 761.439 769.395 605.506 0.56674 0.54975
3 enzyme_test (+) 750.509 760.454 595.297 0.65900 0.63854
4 pindex (+) 735.715 747.649 582.943 0.75015 0.72975
5 bcs (+) 730.620 744.543 579.638 0.78091 0.75808
------------------------------------------------------------------------------
Final Model Output
------------------
Model Summary
-------------------------------------------------------------------
R 0.884 RMSE 184.276
R-Squared 0.781 MSE 38202.426
Adj. R-Squared 0.758 Coef. Var 27.839
Pred R-Squared 0.700 AIC 730.620
MAE 137.656 SBC 744.543
-------------------------------------------------------------------
RMSE: Root Mean Square Error
MSE: Mean Square Error
MAE: Mean Absolute Error
AIC: Akaike Information Criteria
SBC: Schwarz Bayesian Criteria
ANOVA
-----------------------------------------------------------------------
Sum of
Squares DF Mean Square F Sig.
-----------------------------------------------------------------------
Regression 6535804.090 5 1307160.818 34.217 0.0000
Residual 1833716.447 48 38202.426
Total 8369520.537 53
-----------------------------------------------------------------------
Parameter Estimates
------------------------------------------------------------------------------------------------
model Beta Std. Error Std. Beta t Sig lower upper
------------------------------------------------------------------------------------------------
(Intercept) -1178.330 208.682 -5.647 0.000 -1597.914 -758.746
liver_test 58.064 40.144 0.156 1.446 0.155 -22.652 138.779
alc_heavy 317.848 71.634 0.314 4.437 0.000 173.818 461.878
enzyme_test 9.748 1.656 0.521 5.887 0.000 6.419 13.077
pindex 8.924 1.808 0.380 4.935 0.000 5.288 12.559
bcs 59.864 23.060 0.241 2.596 0.012 13.498 106.230
------------------------------------------------------------------------------------------------
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Any scripts or data that you put into this service are public.
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