Results: potato.sas

potato leafhopper data

The Print Procedure

Data Set WORK.POTATO

Obs time treat treat2 treat3
1 2.3 control control control
2 1.7 control control control
3 3.6 sucrose sucrose sugar
4 4.0 sucrose sucrose sugar
5 3.0 glucose sixcarb sugar
6 2.8 glucose sixcarb sugar
7 2.1 fructose sixcarb sugar
8 2.3 fructose sixcarb sugar

full model with 4 means (C,F,G,S)

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
treat 4 control fructose glucose sucrose

Number of Observations

Number of Observations Read 8
Number of Observations Used 8

full model with 4 means (C,F,G,S)

The GLM Procedure

Coefficients for estimate fructose vs glucose

Coefficients for Estimate fructose vs glucose
  Row 1
Intercept 0
treat control 0
treat fructose 1
treat glucose -1
treat sucrose 0

full model with 4 means (C,F,G,S)

The GLM Procedure

 

Dependent Variable: time

Analysis of Variance

time

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 3 3.97500000 1.32500000 17.67 0.0090
Error 4 0.30000000 0.07500000    
Corrected Total 7 4.27500000      

Fit Statistics

R-Square Coeff Var Root MSE time Mean
0.929825 10.04996 0.273861 2.725000

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
treat 3 3.97500000 1.32500000 17.67 0.0090

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
treat 3 3.97500000 1.32500000 17.67 0.0090

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
fructose vs glucose 1 0.49000000 0.49000000 6.53 0.0629

Estimates

Parameter Estimate Standard
Error		 t Value Pr > |t| 95% Confidence Limits
fructose vs glucose -0.70000000 0.27386128 -2.56 0.0629 -1.46036081 0.06036081

Box Plot

Fit Plot for time by treat

reduced model with 3 means (C,sixcarb,S)

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
treat2 3 control sixcarb sucrose

Number of Observations

Number of Observations Read 8
Number of Observations Used 8

reduced model with 3 means (C,sixcarb,S)

The GLM Procedure

 

Dependent Variable: time

Analysis of Variance

time

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 2 3.48500000 1.74250000 11.03 0.0147
Error 5 0.79000000 0.15800000    
Corrected Total 7 4.27500000      

Fit Statistics

R-Square Coeff Var Root MSE time Mean
0.815205 14.58687 0.397492 2.725000

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
treat2 2 3.48500000 1.74250000 11.03 0.0147

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
treat2 2 3.48500000 1.74250000 11.03 0.0147

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
6-carbons vs sucrose 1 2.08333333 2.08333333 13.19 0.0150

Estimates

Parameter Estimate Standard
Error		 t Value Pr > |t| 95% Confidence Limits
6-carbons vs sucrose -1.25000000 0.34423829 -3.63 0.0150 -2.13489269 -0.36510731

Box Plot

Fit Plot for time by treat2

most reduced model with 2 means (C,sugar)

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
treat3 2 control sugar

Number of Observations

Number of Observations Read 8
Number of Observations Used 8

most reduced model with 2 means (C,sugar)

The GLM Procedure

 

Dependent Variable: time

Analysis of Variance

time

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 1 1.40166667 1.40166667 2.93 0.1380
Error 6 2.87333333 0.47888889    
Corrected Total 7 4.27500000      

Fit Statistics

R-Square Coeff Var Root MSE time Mean
0.327875 25.39516 0.692018 2.725000

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
treat3 1 1.40166667 1.40166667 2.93 0.1380

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
treat3 1 1.40166667 1.40166667 2.93 0.1380

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
control vs sugars 1 1.40166667 1.40166667 2.93 0.1380

Estimates

Parameter Estimate Standard
Error		 t Value Pr > |t| 95% Confidence Limits
control vs sugars -0.96666667 0.56503032 -1.71 0.1380 -2.34924605 0.41591271

Box Plot

Fit Plot for time by treat3

detailed analysis for the model with 3 means

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
treat2 3 control sixcarb sucrose

Number of Observations

Number of Observations Read 8
Number of Observations Used 8

detailed analysis for the model with 3 means

The GLM Procedure

 

Dependent Variable: time

Analysis of Variance

time

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 2 3.48500000 1.74250000 11.03 0.0147
Error 5 0.79000000 0.15800000    
Corrected Total 7 4.27500000      

Fit Statistics

R-Square Coeff Var Root MSE time Mean
0.815205 14.58687 0.397492 2.725000

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
treat2 2 3.48500000 1.74250000 11.03 0.0147

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
treat2 2 3.48500000 1.74250000 11.03 0.0147

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
control vs sucrose 1 3.24000000 3.24000000 20.51 0.0062
6-carbons vs sucrose 1 2.08333333 2.08333333 13.19 0.0150
6-carbons vs control 1 0.40333333 0.40333333 2.55 0.1710
sucrose vs others 1 3.38272727 3.38272727 21.41 0.0057

Estimates

Parameter Estimate Standard
Error		 t Value Pr > |t| 95% Confidence Limits
control vs sucrose -1.80000000 0.39749214 -4.53 0.0062 -2.82178607 -0.77821393
6-carbons vs sucrose -1.25000000 0.34423829 -3.63 0.0150 -2.13489269 -0.36510731
6-carbons vs control 0.55000000 0.34423829 1.60 0.1710 -0.33489269 1.43489269
sucrose vs others 1.52500000 0.32958307 4.63 0.0057 0.67777975 2.37222025

Box Plot

Fit Plot for time by treat2

detailed analysis for the model with 3 means

The GLM Procedure

Means

treat2

time

Distribution of time by treat2

Distribution of time by treat2

Pairwise Multiple Comparisons

Scheffe

detailed analysis for the model with 3 means

The GLM Procedure

 

Scheffe's Test for time

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 5
Error Mean Square 0.158
Critical Value of F 5.78614

Pairs

Comparisons significant at the 0.05 level are indicated by ***.
treat2
Comparison		 Difference
Between
Means		 Simultaneous 95% Confidence Limits  
sucrose - sixcarb 1.2500 0.0790 2.4210 ***
sucrose - control 1.8000 0.4478 3.1522 ***
sixcarb - sucrose -1.2500 -2.4210 -0.0790 ***
sixcarb - control 0.5500 -0.6210 1.7210  
control - sucrose -1.8000 -3.1522 -0.4478 ***
control - sixcarb -0.5500 -1.7210 0.6210  

the multiplier for the Scheffe intervals

The Print Procedure

Data Set WORK.SCHEFFE

Obs F multi
1 5.78614 3.40180

simultaneous Scheffe type intervals

The Print Procedure

Data Set WORK.INTERVAL

Obs differ estimate stderr lowerCL upperCL
1 C_S -1.800 0.39749 -3.15219 -0.44781
2 6_S -1.250 0.34424 -2.42103 -0.07897
3 6_C 0.550 0.34424 -0.62103 1.72103
4 S_(Cand6 1.525 0.32958 0.40382 2.64618