Results: RunAnalysis-ANOVA.sas

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
DirectorIndicator 3 High productive Less productive Productive
CompanyIndicator 3 High market share Low market share Medium market share

Number of Observations

Number of Observations Read 9999
Number of Observations Used 1114

The GLM Procedure

Dependent Variable: Rating Rating

Analysis of Variance

Rating

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 8 31.5520256 3.9440032 4.75 <.0001
Error 1105 918.0720408 0.8308344    
Corrected Total 1113 949.6240664      

Fit Statistics

R-Square Coeff Var Root MSE Rating Mean
0.033226 13.74501 0.911501 6.631508

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
DirectorIndicator 2 22.02303052 11.01151526 13.25 <.0001
CompanyIndicator 2 2.24097224 1.12048612 1.35 0.2600
DirectorI*CompanyInd 4 9.26824765 2.31706191 2.79 0.0254

Interaction Plot

Interaction Plot for Rating by DirectorIndicator

The GLM Procedure

Means

DirectorIndicator

Rating

Distribution of Rating by DirectorIndicator

Distribution of Rating by DirectorIndicator

Pairwise Multiple Comparisons

Scheffe


The GLM Procedure

Scheffe's Test for Rating

Note:This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than Tukey's for all pairwise comparisons.

Information

Alpha 0.05
Error Degrees of Freedom 1105
Error Mean Square 0.830834
Critical Value of F 3.00387

Pairs

Comparisons significant at the 0.05 level are indicated by ***.
DirectorIndicator
Comparison
Difference
Between
Means
Simultaneous 95% Confidence Limits  
High productive - Productive 0.22256 0.05257 0.39255 ***
High productive - Less productive 0.32820 0.16079 0.49561 ***
Productive - High productive -0.22256 -0.39255 -0.05257 ***
Productive - Less productive 0.10564 -0.05224 0.26351  
Less productive - High productive -0.32820 -0.49561 -0.16079 ***
Less productive - Productive -0.10564 -0.26351 0.05224  

The GLM Procedure

Means

CompanyIndicator

Rating

Distribution of Rating by CompanyIndicator

Distribution of Rating by CompanyIndicator

Pairwise Multiple Comparisons

Scheffe


The GLM Procedure

Scheffe's Test for Rating

Note:This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than Tukey's for all pairwise comparisons.

Information

Alpha 0.05
Error Degrees of Freedom 1105
Error Mean Square 0.830834
Critical Value of F 3.00387

Pairs

Comparisons significant at the 0.05 level are indicated by ***.
CompanyIndicator
Comparison
Difference
Between
Means
Simultaneous 95% Confidence Limits  
Low market share - Medium market share 0.05870 -0.14220 0.25961  
Low market share - High market share 0.10427 -0.04526 0.25380  
Medium market share - Low market share -0.05870 -0.25961 0.14220  
Medium market share - High market share 0.04557 -0.14406 0.23519  
High market share - Low market share -0.10427 -0.25380 0.04526  
High market share - Medium market share -0.04557 -0.23519 0.14406  

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
DirectorIndicator 3 High productive Less productive Productive
CompanyIndicator 3 High market share Low market share Medium market share

Number of Observations

Number of Observations Read 9999
Number of Observations Used 1374

The GLM Procedure

Dependent Variable: BoxofficeMillion BoxofficeMillion

Analysis of Variance

BoxofficeMillion

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 8 3229917.59 403739.70 10.53 <.0001
Error 1365 52336482.92 38341.75    
Corrected Total 1373 55566400.51      

Fit Statistics

R-Square Coeff Var Root MSE BoxofficeMillion Mean
0.058127 125.2058 195.8105 156.3909

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
DirectorIndicator 2 1060408.706 530204.353 13.83 <.0001
CompanyIndicator 2 1557060.026 778530.013 20.31 <.0001
DirectorI*CompanyInd 4 984526.157 246131.539 6.42 <.0001

Interaction Plot

Interaction Plot for BoxofficeMillion by DirectorIndicator

The GLM Procedure

Means

DirectorIndicator

BoxofficeMillion

Distribution of BoxofficeMillion by DirectorIndicator

Distribution of BoxofficeMillion by DirectorIndicator

Pairwise Multiple Comparisons

Scheffe


The GLM Procedure

Scheffe's Test for BoxofficeMillion

Note:This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than Tukey's for all pairwise comparisons.

Information

Alpha 0.05
Error Degrees of Freedom 1365
Error Mean Square 38341.75
Critical Value of F 3.00232

Pairs

Comparisons significant at the 0.05 level are indicated by ***.
DirectorIndicator
Comparison
Difference
Between
Means
Simultaneous 95% Confidence Limits  
High productive - Productive 48.74 15.37 82.12 ***
High productive - Less productive 57.74 24.84 90.65 ***
Productive - High productive -48.74 -82.12 -15.37 ***
Productive - Less productive 9.00 -21.11 39.11  
Less productive - High productive -57.74 -90.65 -24.84 ***
Less productive - Productive -9.00 -39.11 21.11  

The GLM Procedure

Means

CompanyIndicator

BoxofficeMillion

Distribution of BoxofficeMillion by CompanyIndicator

Distribution of BoxofficeMillion by CompanyIndicator

Pairwise Multiple Comparisons

Scheffe


The GLM Procedure

Scheffe's Test for BoxofficeMillion

Note:This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than Tukey's for all pairwise comparisons.

Information

Alpha 0.05
Error Degrees of Freedom 1365
Error Mean Square 38341.75
Critical Value of F 3.00232

Pairs

Comparisons significant at the 0.05 level are indicated by ***.
CompanyIndicator
Comparison
Difference
Between
Means
Simultaneous 95% Confidence Limits  
High market share - Medium market share 43.49 5.57 81.42 ***
High market share - Low market share 73.77 45.22 102.32 ***
Medium market share - High market share -43.49 -81.42 -5.57 ***
Medium market share - Low market share 30.27 -9.48 70.03  
Low market share - High market share -73.77 -102.32 -45.22 ***
Low market share - Medium market share -30.27 -70.03 9.48  

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
DirectorIndicator 3 High productive Less productive Productive
CompanyIndicator 3 High market share Low market share Medium market share

Number of Observations

Number of Observations Read 9999
Number of Observations Used 1374

The GLM Procedure

Dependent Variable: ProfitMillion ProfitMillion

Analysis of Variance

ProfitMillion

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 8 1758075.57 219759.45 7.86 <.0001
Error 1365 38150274.89 27948.92    
Corrected Total 1373 39908350.45      

Fit Statistics

R-Square Coeff Var Root MSE ProfitMillion Mean
0.044053 154.0169 167.1793 108.5461

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
DirectorIndicator 2 560762.0445 280381.0223 10.03 <.0001
CompanyIndicator 2 779125.4973 389562.7486 13.94 <.0001
DirectorI*CompanyInd 4 649768.4221 162442.1055 5.81 0.0001

Interaction Plot

Interaction Plot for ProfitMillion by DirectorIndicator

The GLM Procedure

Means

DirectorIndicator

ProfitMillion

Distribution of ProfitMillion by DirectorIndicator

Distribution of ProfitMillion by DirectorIndicator

Pairwise Multiple Comparisons

Scheffe


The GLM Procedure

Scheffe's Test for ProfitMillion

Note:This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than Tukey's for all pairwise comparisons.

Information

Alpha 0.05
Error Degrees of Freedom 1365
Error Mean Square 27948.92
Critical Value of F 3.00232

Pairs

Comparisons significant at the 0.05 level are indicated by ***.
DirectorIndicator
Comparison
Difference
Between
Means
Simultaneous 95% Confidence Limits  
High productive - Less productive 37.49 9.39 65.58 ***
High productive - Productive 38.58 10.09 67.08 ***
Less productive - High productive -37.49 -65.58 -9.39 ***
Less productive - Productive 1.10 -24.61 26.80  
Productive - High productive -38.58 -67.08 -10.09 ***
Productive - Less productive -1.10 -26.80 24.61  

The GLM Procedure

Means

CompanyIndicator

ProfitMillion

Distribution of ProfitMillion by CompanyIndicator

Distribution of ProfitMillion by CompanyIndicator

Pairwise Multiple Comparisons

Scheffe


The GLM Procedure

Scheffe's Test for ProfitMillion

Note:This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than Tukey's for all pairwise comparisons.

Information

Alpha 0.05
Error Degrees of Freedom 1365
Error Mean Square 27948.92
Critical Value of F 3.00232

Pairs

Comparisons significant at the 0.05 level are indicated by ***.
CompanyIndicator
Comparison
Difference
Between
Means
Simultaneous 95% Confidence Limits  
High market share - Medium market share 31.552 -0.826 63.930  
High market share - Low market share 51.691 27.313 76.068 ***
Medium market share - High market share -31.552 -63.930 0.826  
Medium market share - Low market share 20.139 -13.800 54.079  
Low market share - High market share -51.691 -76.068 -27.313 ***
Low market share - Medium market share -20.139 -54.079 13.800