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glm.htm

SAS Textbook Examples


proc glm data=elemapi2;
  class collcat;
  model api00 =  meals collcat collcat*meals ;
  estimate 'slope of meals at collcat=1' meals 1  collcat*meals 1 0 0;
  estimate 'slope of meals at collcat=2' meals 1  collcat*meals 0 1 0;
  estimate 'slope of meals at collcat=3' meals 1  collcat*meals 0 0 1;
run;
quit;

The GLM Procedure


   Class Level Information


Class         Levels    Values
collcat            3    1 2 3


Number of observations    400
The GLM Procedure
Dependent Variable: api00   api 2000


                                        Sum of
Source                      DF         Squares     Mean Square    F Value    Pr > F
Model                        5     6629929.872     1325985.974     361.86    <.0001
Error                      394     1443742.126        3664.320
Corrected Total            399     8073671.998
R-Square     Coeff Var      Root MSE    api00 Mean
0.821179      9.347054      60.53363      647.6225
Source                      DF       Type I SS     Mean Square    F Value    Pr > F
meals                        1     6549825.145     6549825.145    1787.46    <.0001
collcat                      2       37126.652       18563.326       5.07    0.0067
meals*collcat                2       42978.076       21489.038       5.86    0.0031
Source                      DF     Type III SS     Mean Square    F Value    Pr > F
meals                        1     5389132.969     5389132.969    1470.70    <.0001
collcat                      2       14535.351        7267.676       1.98    0.1390
meals*collcat                2       42978.076       21489.038       5.86    0.0031
                                                   Standard
Parameter                          Estimate           Error    t Value    Pr > |t|
slope of meals at collcat=1     -4.13839216      0.15484383     -26.73      <.0001
slope of meals at collcat=2     -4.11024157      0.15978196     -25.72      <.0001
slope of meals at collcat=3     -3.32942579      0.20406098     -16.32      <.0001

 

proc glm data=elemapi2;
  class collcat;
  model api00 =  meals collcat collcat*meals ;
  estimate 'slope of 2 v 1 at m=28.4' collcat -1 1 0 collcat*meals -28.4 28.4 0;
  estimate 'pred values, group 1, m=28.4'  intercept 1 meals 28.4 collcat 1 0 0 collcat*meals 28.4 0 0;
  estimate 'pred values, group 2, m=28.4'  intercept 1 meals 28.4 collcat 0 1 0 collcat*meals 0 28.4 0;
  estimate 'pred values, group 12, m=28.4'  intercept 1 meals 28.4 collcat .5 .5 0 collcat*meals 14.2 14.2 0;
  estimate 'pred values, group 3, m=28.4'  intercept 1 meals 28.4 collcat 0 0 1 collcat*meals 0 0 28.4;
  estimate 'slope of 3 v 12 at m=28.4' collcat -.5 -.5 1 collcat*meals -14.2 -14.2 28.4;
run;
quit;

The GLM Procedure


   Class Level Information


Class         Levels    Values
collcat            3    1 2 3


Number of observations    400
The GLM Procedure
Dependent Variable: api00   api 2000
                                        Sum of
Source                      DF         Squares     Mean Square    F Value    Pr > F
Model                        5     6629929.872     1325985.974     361.86    <.0001
Error                      394     1443742.126        3664.320
Corrected Total            399     8073671.998
R-Square     Coeff Var      Root MSE    api00 Mean
0.821179      9.347054      60.53363      647.6225
Source                      DF       Type I SS     Mean Square    F Value    Pr > F
meals                        1     6549825.145     6549825.145    1787.46    <.0001
collcat                      2       37126.652       18563.326       5.07    0.0067
meals*collcat                2       42978.076       21489.038       5.86    0.0031
Source                      DF     Type III SS     Mean Square    F Value    Pr > F
meals                        1     5389132.969     5389132.969    1470.70    <.0001
collcat                      2       14535.351        7267.676       1.98    0.1390
meals*collcat                2       42978.076       21489.038       5.86    0.0031
                                                     Standard
Parameter                            Estimate           Error    t Value    Pr > |t|
slope of 2 v 1 at m=28.4            11.094401      11.0510713       1.00      0.3160
pred values, group 1, m=28.4       768.602193       8.3633100      91.90      <.0001
pred values, group 2, m=28.4       779.696594       7.2236571     107.94      <.0001
pred values, group 12, m=28.4      774.149393       5.5255356     140.10      <.0001
pred values, group 3, m=28.4       770.295100       7.0505458     109.25      <.0001
slope of 3 v 12 at m=28.4           -3.854294       8.9577754      -0.43      0.6672

proc glm data=elemapi2;
  class collcat;
  model api00 =  meals collcat collcat*meals ;
  estimate 'slope of 2 v 1 at m=92.2' collcat -1 1 0 collcat*meals -92.2 92.2 0;
  estimate 'slope of 3 v 12 at m=92.2' collcat -.5 -.5 1 collcat*meals -46.1 -46.1 92.2;
run;
quit;

The GLM Procedure


   Class Level Information


Class         Levels    Values
collcat            3    1 2 3


Number of observations    400
The GLM Procedure
Dependent Variable: api00   api 2000
                                        Sum of
Source                      DF         Squares     Mean Square    F Value    Pr > F
Model                        5     6629929.872     1325985.974     361.86    <.0001
Error                      394     1443742.126        3664.320
Corrected Total            399     8073671.998
R-Square     Coeff Var      Root MSE    api00 Mean

0.821179      9.347054      60.53363      647.6225
Source                      DF       Type I SS     Mean Square    F Value    Pr > F
meals                        1     6549825.145     6549825.145    1787.46    <.0001
collcat                      2       37126.652       18563.326       5.07    0.0067
meals*collcat                2       42978.076       21489.038       5.86    0.0031
Source                      DF     Type III SS     Mean Square    F Value    Pr > F
meals                        1     5389132.969     5389132.969    1470.70    <.0001
collcat                      2       14535.351        7267.676       1.98    0.1390
meals*collcat                2       42978.076       21489.038       5.86    0.0031
                                                 Standard
Parameter                        Estimate           Error    t Value    Pr > |t|
slope of 2 v 1 at m=92.2       12.8904091       9.7310376       1.32      0.1860
slope of 3 v 12 at m=92.2      46.8597567      10.8676142       4.31      <.0001

 
proc glm data=elemapi2;
  class collcat;
  model api00 =  meals collcat collcat*meals ;
  estimate 'slope of 2 v 1 at m=92.2' collcat -1 1 0 collcat*meals -92.2 92.2 0;
  estimate 'slope of 3 v 12 at m=92.2' collcat -.5 -.5 1 collcat*meals -46.1 -46.1 92.2;
run;
quit;

The GLM Procedure


   Class Level Information


Class         Levels    Values
collcat            3    1 2 3


Number of observations    400
The GLM Procedure
Dependent Variable: api00   api 2000
                                        Sum of
Source                      DF         Squares     Mean Square    F Value    Pr > F
Model                        5     6629929.872     1325985.974     361.86    <.0001
Error                      394     1443742.126        3664.320
Corrected Total            399     8073671.998
R-Square     Coeff Var      Root MSE    api00 Mean
0.821179      9.347054      60.53363      647.6225
Source                      DF       Type I SS     Mean Square    F Value    Pr > F
meals                        1     6549825.145     6549825.145    1787.46    <.0001
collcat                      2       37126.652       18563.326       5.07    0.0067
meals*collcat                2       42978.076       21489.038       5.86    0.0031
Source                      DF     Type III SS     Mean Square    F Value    Pr > F
meals                        1     5389132.969     5389132.969    1470.70    <.0001
collcat                      2       14535.351        7267.676       1.98    0.1390
meals*collcat                2       42978.076       21489.038       5.86    0.0031
                                                 Standard
Parameter                        Estimate           Error    t Value    Pr > |t|
slope of 2 v 1 at m=92.2       12.8904091       9.7310376       1.32      0.1860
slope of 3 v 12 at m=92.2      46.8597567      10.8676142       4.31      <.0001

proc glm data=elemapi2;
  class collcat;
  model api00 =  meals collcat collcat*meals ;
  estimate 'slope of 2 v 1 at m=28.4' collcat -1 1 0 collcat*meals -28.4 28.4 0;
  estimate 'pred values, group 1, m=28.4'  intercept 1 meals 28.4 collcat 1 0 0 collcat*meals 28.4 0 0;
  estimate 'pred values, group 2, m=28.4'  intercept 1 meals 28.4 collcat 0 1 0 collcat*meals 0 28.4 0;
  estimate 'slope of 3 v 12 at m=28.4' collcat -.5 -.5 1 collcat*meals -14.2 -14.2 28.4;
  estimate 'pred values, group 12, m=28.4'  intercept 1 meals 28.4 collcat .5 .5 0 collcat*meals 14.2 14.2 0;
  estimate 'pred values, group 3, m=28.4'  intercept 1 meals 28.4 collcat 0 0 1 collcat*meals 0 0 28.4;
  estimate 'slope of 2 v 1 at m=60.3' collcat -1 1 0 collcat*meals -60.3 60.3 0;
  estimate 'slope of 3 v 12 at m=60.3' collcat -.5 -.5 1 collcat*meals -30.15 -30.15 60.3;
  estimate 'slope of 2 v 1 at m=92.2' collcat -1 1 0 collcat*meals -92.2 92.2 0;
  estimate 'slope of 3 v 12 at m=92.2' collcat -.5 -.5 1 collcat*meals -46.1 -46.1 92.2;
  estimate 'slope of 2 v 1 at m=60.3 v m=28.4' collcat*meals -31.9 31.9 0;
  estimate 'slope of 3 v 12 at m=60.3 v m=28.4' collcat*meals -15.95 -15.95 31.9 ;
run;
quit;

The GLM Procedure


   Class Level Information


Class         Levels    Values
collcat            3    1 2 3


Number of observations    400
The GLM Procedure
Dependent Variable: api00   api 2000
                                        Sum of
Source                      DF         Squares     Mean Square    F Value    Pr > F
Model                        5     6629929.872     1325985.974     361.86    <.0001
Error                      394     1443742.126        3664.320
Corrected Total            399     8073671.998
R-Square     Coeff Var      Root MSE    api00 Mean
0.821179      9.347054      60.53363      647.6225
Source                      DF       Type I SS     Mean Square    F Value    Pr > F
meals                        1     6549825.145     6549825.145    1787.46    <.0001
collcat                      2       37126.652       18563.326       5.07    0.0067
meals*collcat                2       42978.076       21489.038       5.86    0.0031
Source                      DF     Type III SS     Mean Square    F Value    Pr > F
meals                        1     5389132.969     5389132.969    1470.70    <.0001
collcat                      2       14535.351        7267.676       1.98    0.1390
meals*collcat                2       42978.076       21489.038       5.86    0.0031
                                                          Standard
Parameter                                 Estimate           Error    t Value    Pr > |t|
slope of 2 v 1 at m=28.4                 11.094401      11.0510713       1.00      0.3160
pred values, group 1, m=28.4            768.602193       8.3633100      91.90      <.0001
pred values, group 2, m=28.4            779.696594       7.2236571     107.94      <.0001
slope of 3 v 12 at m=28.4                -3.854294       8.9577754      -0.43      0.6672
pred values, group 12, m=28.4           774.149393       5.5255356     140.10      <.0001
pred values, group 3, m=28.4            770.295100       7.0505458     109.25      <.0001
slope of 2 v 1 at m=60.3                 11.992405       7.6178035       1.57      0.1162
slope of 3 v 12 at m=60.3                21.502731       6.6486489       3.23      0.0013
slope of 2 v 1 at m=92.2                 12.890409       9.7310376       1.32      0.1860
slope of 3 v 12 at m=92.2                46.859757      10.8676142       4.31      <.0001
slope of 2 v 1 at m=60.3 v m=28.4         0.898004       7.0977957       0.13      0.8994
slope of 3 v 12 at m=60.3 v m=28.4       25.357025       7.4140986       3.42      0.0007

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