Results: l10.sas

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
bobbin 6 1 2 3 4 5 6

Number of Observations

Number of Observations Read 48
Number of Observations Used 48

The GLM Procedure

 

Dependent Variable: strength

Analysis of Variance

strength

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 5 19.57687500 3.91537500 2.33 0.0589
Error 42 70.51125000 1.67883929    
Corrected Total 47 90.08812500      

Fit Statistics

R-Square Coeff Var Root MSE strength Mean
0.217308 8.145857 1.295700 15.90625

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
bobbin 5 19.57687500 3.91537500 2.33 0.0589

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
bobbin 5 19.57687500 3.91537500 2.33 0.0589

Solution

Parameter Estimate   Standard
Error		 t Value Pr > |t|
Intercept 15.56250000 B 0.45809924 33.97 <.0001
bobbin 1 0.86250000 B 0.64785015 1.33 0.1903
bobbin 2 1.05000000 B 0.64785015 1.62 0.1126
bobbin 3 0.01250000 B 0.64785015 0.02 0.9847
bobbin 4 -0.73750000 B 0.64785015 -1.14 0.2614
bobbin 5 0.87500000 B 0.64785015 1.35 0.1840
bobbin 6 0.00000000 B . . .

Note:The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whose estimates are followed by the letter 'B' are not uniquely estimable.

Box Plot

Fit Plot for strength by bobbin

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
bobbin 6 1 3 4 5 6 2

Number of Observations

Number of Observations Read 48
Number of Observations Used 48

The GLM Procedure

 

Dependent Variable: strength

Analysis of Variance

strength

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 5 19.57687500 3.91537500 2.33 0.0589
Error 42 70.51125000 1.67883929    
Corrected Total 47 90.08812500      

Fit Statistics

R-Square Coeff Var Root MSE strength Mean
0.217308 8.145857 1.295700 15.90625

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
bobbin 5 19.57687500 3.91537500 2.33 0.0589

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
bobbin 5 19.57687500 3.91537500 2.33 0.0589

Solution

Parameter Estimate   Standard
Error		 t Value Pr > |t|
Intercept 16.61250000 B 0.45809924 36.26 <.0001
bobbin 1 -0.18750000 B 0.64785015 -0.29 0.7737
bobbin 3 -1.03750000 B 0.64785015 -1.60 0.1168
bobbin 4 -1.78750000 B 0.64785015 -2.76 0.0085
bobbin 5 -0.17500000 B 0.64785015 -0.27 0.7884
bobbin 6 -1.05000000 B 0.64785015 -1.62 0.1126
bobbin 2 0.00000000 B . . .

Note:The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whose estimates are followed by the letter 'B' are not uniquely estimable.

Box Plot

Fit Plot for strength by bobbin

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
supp 2 OJ VC

Number of Observations

Number of Observations Read 60
Number of Observations Used 60

The GLM Procedure

 

Dependent Variable: len

Analysis of Variance

len

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 2 2606.300250 1303.150125 87.81 <.0001
Error 57 845.909083 14.840510    
Corrected Total 59 3452.209333      

Fit Statistics

R-Square Coeff Var Root MSE len Mean
0.754966 20.47664 3.852338 18.81333

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
logdose 1 2400.950250 2400.950250 161.78 <.0001
supp 1 205.350000 205.350000 13.84 0.0005

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
logdose 1 2400.950250 2400.950250 161.78 <.0001
supp 1 205.350000 205.350000 13.84 0.0005

ANCOVA Plot

Analysis of Covariance for len by logdose categorized by supp

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
supp 2 OJ VC

Number of Observations

Number of Observations Read 60
Number of Observations Used 60

The GLM Procedure

 

Dependent Variable: len

Analysis of Variance

len

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 2 2471.972500 1235.986250 71.87 <.0001
Error 57 980.236833 17.197137    
Corrected Total 59 3452.209333      

Fit Statistics

R-Square Coeff Var Root MSE len Mean
0.716055 22.04258 4.146943 18.81333

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
logdose*supp 2 2471.972500 1235.986250 71.87 <.0001

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
logdose*supp 2 2471.972500 1235.986250 71.87 <.0001

ANCOVA Plot

Analysis of Covariance for len by logdose categorized by supp

The GLM Procedure

The GLM Procedure

Data

Number of Observations

Number of Observations Read 24
Number of Observations Used 24

The GLM Procedure

 

Dependent Variable: weight

Analysis of Variance

weight

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 1 617796.000 617796.000 3.21 0.0871
Error 22 4239077.625 192685.347    
Corrected Total 23 4856873.625      

Fit Statistics

R-Square Coeff Var Root MSE weight Mean
0.127200 6.373392 438.9594 6887.375

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
lev 1 617796.0000 617796.0000 3.21 0.0871

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
lev 1 617796.0000 617796.0000 3.21 0.0871

Solution

Parameter Estimate Standard
Error		 t Value Pr > |t|
Intercept 7083.875000 141.6735341 50.00 <.0001
lev -196.500000 109.7398476 -1.79 0.0871

Fit Plot

Fit Plot for weight by lev

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
lev 3 0 1 2

Number of Observations

Number of Observations Read 24
Number of Observations Used 24

The GLM Procedure

 

Dependent Variable: weight

Analysis of Variance

weight

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 2 636282.750 318141.375 1.58 0.2289
Error 21 4220590.875 200980.518    
Corrected Total 23 4856873.625      

Fit Statistics

R-Square Coeff Var Root MSE weight Mean
0.131007 6.509135 448.3085 6887.375

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
lev 2 636282.7500 318141.3750 1.58 0.2289

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
lev 2 636282.7500 318141.3750 1.58 0.2289

Solution

Parameter Estimate   Standard
Error		 t Value Pr > |t|
Intercept 6671.250000 B 158.5009928 42.09 <.0001
lev 0 393.000000 B 224.1542537 1.75 0.0941
lev 1 255.375000 B 224.1542537 1.14 0.2674
lev 2 0.000000 B . . .

Note:The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whose estimates are followed by the letter 'B' are not uniquely estimable.

Box Plot

Fit Plot for weight by lev

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
lev 3 0 1 2
source 2 G S

Number of Observations

Number of Observations Read 24
Number of Observations Used 24

The GLM Procedure

 

Dependent Variable: weight

Analysis of Variance

weight

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 3 1010033.792 336677.931 1.75 0.1890
Error 20 3846839.833 192341.992    
Corrected Total 23 4856873.625      

Fit Statistics

R-Square Coeff Var Root MSE weight Mean
0.207960 6.367711 438.5681 6887.375

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
lev 2 636282.7500 318141.3750 1.65 0.2164
source 1 373751.0417 373751.0417 1.94 0.1786

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
lev 2 636282.7500 318141.3750 1.65 0.2164
source 1 373751.0417 373751.0417 1.94 0.1786

Solution

Parameter Estimate   Standard
Error		 t Value Pr > |t|
Intercept 6796.041667 B 179.0446833 37.96 <.0001
lev 0 393.000000 B 219.2840576 1.79 0.0882
lev 1 255.375000 B 219.2840576 1.16 0.2579
lev 2 0.000000 B . . .
source G -249.583333 B 179.0446833 -1.39 0.1786
source S 0.000000 B . . .

Note:The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whose estimates are followed by the letter 'B' are not uniquely estimable.

Interaction Plot

Interaction Plot for weight by lev

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
lev 3 0 1 2
source 2 G S

Number of Observations

Number of Observations Read 24
Number of Observations Used 24

The GLM Procedure

 

Dependent Variable: weight

Analysis of Variance

weight

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 3 1010033.792 336677.931 1.75 0.1890
Error 20 3846839.833 192341.992    
Corrected Total 23 4856873.625      

Fit Statistics

R-Square Coeff Var Root MSE weight Mean
0.207960 6.367711 438.5681 6887.375

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
source 1 373751.0417 373751.0417 1.94 0.1786
lev 2 636282.7500 318141.3750 1.65 0.2164

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
source 1 373751.0417 373751.0417 1.94 0.1786
lev 2 636282.7500 318141.3750 1.65 0.2164

Solution

Parameter Estimate   Standard
Error		 t Value Pr > |t|
Intercept 6796.041667 B 179.0446833 37.96 <.0001
source G -249.583333 B 179.0446833 -1.39 0.1786
source S 0.000000 B . . .
lev 0 393.000000 B 219.2840576 1.79 0.0882
lev 1 255.375000 B 219.2840576 1.16 0.2579
lev 2 0.000000 B . . .

Note:The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whose estimates are followed by the letter 'B' are not uniquely estimable.

Interaction Plot

Interaction Plot for weight by lev

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
bobbin 6 1 2 3 4 5 6

Number of Observations

Number of Observations Read 48
Number of Observations Used 48

The GLM Procedure

 

Dependent Variable: strength

Analysis of Variance

strength

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 5 19.57687500 3.91537500 2.33 0.0589
Error 42 70.51125000 1.67883929    
Corrected Total 47 90.08812500      

Fit Statistics

R-Square Coeff Var Root MSE strength Mean
0.217308 8.145857 1.295700 15.90625

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
bobbin 5 19.57687500 3.91537500 2.33 0.0589

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
bobbin 5 19.57687500 3.91537500 2.33 0.0589

Box Plot

Fit Plot for strength by bobbin

The GLM Procedure

Means

bobbin

strength

Distribution of strength by bobbin

Distribution of strength by bobbin

Multiple Comparison Lines

Tukey

The GLM Procedure

 

Tukey's Studentized Range (HSD) Test for strength

Note:This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ.

Information

Alpha 0.05
Error Degrees of Freedom 42
Error Mean Square 1.678839
Critical Value of Studentized Range 4.22176
Minimum Significant Difference 1.934

LinesPlot

#LN00278

Scheffe

The GLM Procedure

 

Scheffe's Test for strength

Note:This test controls the Type I experimentwise error rate.

Information

Alpha 0.05
Error Degrees of Freedom 42
Error Mean Square 1.678839
Critical Value of F 2.43769
Minimum Significant Difference 2.2618

LinesPlot

#LN00301