Results: scab1.sas

Scab Disease Data

The FREQ Procedure

The FREQ Procedure

Table condition

One-Way Frequencies

condition Frequency Percent Cumulative
Frequency
Cumulative
Percent
Control 8 25.00 8 25.00
Fall1200 4 12.50 12 37.50
Fall300 4 12.50 16 50.00
Fall600 4 12.50 20 62.50
Spring1200 4 12.50 24 75.00
Spring300 4 12.50 28 87.50
Spring600 4 12.50 32 100.00

Scab Disease Data

The MEANS Procedure

The MEANS Procedure

Summary statistics

Analysis Variable : infection Ave percent surface covered
condition N Obs N Mean Std Dev Minimum Maximum
Control 8 8 22.6250000 8.3637722 15.5600000 35.2600000
Fall1200 4 4 5.7500000 2.8700639 2.0100000 8.4800000
Fall300 4 4 9.4975000 4.9333854 5.0800000 14.8000000
Fall600 4 4 15.5025000 3.7887586 11.1000000 20.2300000
Spring1200 4 4 14.2525000 4.8578896 8.1100000 19.8400000
Spring300 4 4 16.7475000 10.7824900 5.1300000 30.1200000
Spring600 4 4 18.2500000 4.9273996 11.4000000 22.7500000

Scab Disease Data

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
condition 7 Control Fall1200 Fall300 Fall600 Spring1200 Spring300 Spring600

Number of Observations

Number of Observations Read 32
Number of Observations Used 32

Scab Disease Data

The GLM Procedure

Dependent Variable: infection Ave percent surface covered

Analysis of Variance

infection

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 6 972.413850 162.068975 3.61 0.0103
Error 25 1122.880900 44.915236    
Corrected Total 31 2095.294750      

Fit Statistics

R-Square Coeff Var Root MSE infection Mean
0.464094 42.80644 6.701883 15.65625

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
condition 6 972.4138500 162.0689750 3.61 0.0103

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
condition 6 972.4138500 162.0689750 3.61 0.0103

Box Plot

Fit Plot for Ave percent surface covered by condition

Scab Disease Data

The GLM Procedure

Least Squares Means

Adjustment for Multiple Comparisons: Tukey-Kramer

Least Squares Means

condition

infection

LSMeans

condition infection LSMEAN LSMEAN Number
Control 22.6250000 1
Fall1200 5.7500000 2
Fall300 9.4975000 3
Fall600 15.5025000 4
Spring1200 14.2525000 5
Spring300 16.7475000 6
Spring600 18.2500000 7

Difference Matrix

Least Squares Means for Effect condition
t for H0: LSMean(i)=LSMean(j) / Pr > |t|

Dependent Variable: infection
i/j 1 2 3 4 5 6 7
1
 
 
4.111794
0.0060
3.198671
0.0502
1.735481
0.6002
2.040059
0.4162
1.432122
0.7798
1.066021
0.9322
2
-4.11179
0.0060
 
 
-0.79079
0.9838
-2.05795
0.4061
-1.79417
0.5637
-2.32066
0.2735
-2.63772
0.1571
3
-3.19867
0.0502
0.790788
0.9838
 
 
-1.26716
0.8601
-1.00339
0.9485
-1.52988
0.7250
-1.84693
0.5311
4
-1.73548
0.6002
2.057947
0.4061
1.267159
0.8601
 
 
0.263772
1.0000
-0.26272
1.0000
-0.57977
0.9969
5
-2.04006
0.4162
1.794175
0.5637
1.003387
0.9485
-0.26377
1.0000
 
 
-0.52649
0.9982
-0.84354
0.9776
6
-1.43212
0.7798
2.320663
0.2735
1.529876
0.7250
0.262717
1.0000
0.526488
0.9982
 
 
-0.31705
0.9999
7
-1.06602
0.9322
2.637717
0.1571
1.846929
0.5311
0.57977
0.9969
0.843542
0.9776
0.317054
0.9999
 
 

condition Mean Plot

Plot of infection least-squares means for condition.

condition Diffogram

Plot of all pairwise infection least-squares means differences for condition with Tukey-Kramer adjustment at significance level 0.05.

Scab Disease Data

The GLM Procedure

Least Squares Means

Adjustment for Multiple Comparisons: Bonferroni

Least Squares Means

condition

infection

LSMeans

condition infection LSMEAN LSMEAN Number
Control 22.6250000 1
Fall1200 5.7500000 2
Fall300 9.4975000 3
Fall600 15.5025000 4
Spring1200 14.2525000 5
Spring300 16.7475000 6
Spring600 18.2500000 7

Difference Matrix

Least Squares Means for Effect condition
t for H0: LSMean(i)=LSMean(j) / Pr > |t|

Dependent Variable: infection
i/j 1 2 3 4 5 6 7
1
 
 
4.111794
0.0078
3.198671
0.0783
1.735481
1.0000
2.040059
1.0000
1.432122
1.0000
1.066021
1.0000
2
-4.11179
0.0078
 
 
-0.79079
1.0000
-2.05795
1.0000
-1.79417
1.0000
-2.32066
0.6038
-2.63772
0.2972
3
-3.19867
0.0783
0.790788
1.0000
 
 
-1.26716
1.0000
-1.00339
1.0000
-1.52988
1.0000
-1.84693
1.0000
4
-1.73548
1.0000
2.057947
1.0000
1.267159
1.0000
 
 
0.263772
1.0000
-0.26272
1.0000
-0.57977
1.0000
5
-2.04006
1.0000
1.794175
1.0000
1.003387
1.0000
-0.26377
1.0000
 
 
-0.52649
1.0000
-0.84354
1.0000
6
-1.43212
1.0000
2.320663
0.6038
1.529876
1.0000
0.262717
1.0000
0.526488
1.0000
 
 
-0.31705
1.0000
7
-1.06602
1.0000
2.637717
0.2972
1.846929
1.0000
0.57977
1.0000
0.843542
1.0000
0.317054
1.0000
 
 

condition Mean Plot

Plot of infection least-squares means for condition.

condition Diffogram

Plot of all pairwise infection least-squares means differences for condition with Bonferroni adjustment at significance level 0.05.

Scab Disease Data

The GLM Procedure

Least Squares Means

Adjustment for Multiple Comparisons: Scheffe

Least Squares Means

condition

infection

LSMeans

condition infection LSMEAN LSMEAN Number
Control 22.6250000 1
Fall1200 5.7500000 2
Fall300 9.4975000 3
Fall600 15.5025000 4
Spring1200 14.2525000 5
Spring300 16.7475000 6
Spring600 18.2500000 7

Difference Matrix

Least Squares Means for Effect condition
t for H0: LSMean(i)=LSMean(j) / Pr > |t|

Dependent Variable: infection
i/j 1 2 3 4 5 6 7
1
 
 
4.111794
0.0310
3.198671
0.1613
1.735481
0.8008
2.040059
0.6569
1.432122
0.9080
1.066021
0.9770
2
-4.11179
0.0310
 
 
-0.79079
0.9952
-2.05795
0.6478
-1.79417
0.7753
-2.32066
0.5120
-2.63772
0.3587
3
-3.19867
0.1613
0.790788
0.9952
 
 
-1.26716
0.9469
-1.00339
0.9831
-1.52988
0.8783
-1.84693
0.7514
4
-1.73548
0.8008
2.057947
0.6478
1.267159
0.9469
 
 
0.263772
1.0000
-0.26272
1.0000
-0.57977
0.9992
5
-2.04006
0.6569
1.794175
0.7753
1.003387
0.9831
-0.26377
1.0000
 
 
-0.52649
0.9995
-0.84354
0.9932
6
-1.43212
0.9080
2.320663
0.5120
1.529876
0.8783
0.262717
1.0000
0.526488
0.9995
 
 
-0.31705
1.0000
7
-1.06602
0.9770
2.637717
0.3587
1.846929
0.7514
0.57977
0.9992
0.843542
0.9932
0.317054
1.0000
 
 

condition Mean Plot

Plot of infection least-squares means for condition.

condition Diffogram

Plot of all pairwise infection least-squares means differences for condition with Scheffe adjustment at significance level 0.05.

Scab Disease Data

The GLM Procedure

Dependent Variable: infection Ave percent surface covered

Analysis of Variance

infection

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
Overall test for comparison 6 972.4138500 162.0689750 3.61 0.0103
Av. of Fall vs. Control 1 735.0750000 735.0750000 16.37 0.0004
Av. of Spring vs. Control 1 185.0083333 185.0083333 4.12 0.0532
Fall vs. Spring 1 228.1666667 228.1666667 5.08 0.0332
Spring Amount 2 32.6167167 16.3083583 0.36 0.6991
Fall Amount 2 193.6200500 96.8100250 2.16 0.1369
Spr vs. Fall for 300 lbs. 1 105.1250000 105.1250000 2.34 0.1386
Spr vs. Fall for 600 lbs. 1 15.0975125 15.0975125 0.34 0.5673
Spr vs. Fall, 1200 lbs 1 144.5850125 144.5850125 3.22 0.0849

Estimates

Parameter Estimate Standard
Error
t Value Pr > |t| 95% Confidence Limits
Control vs. Fall 1200 16.8750000 4.10404843 4.11 0.0004 8.4225540 25.3274460
Control vs. Mean of Fall 12.3750000 3.05897709 4.05 0.0004 6.0749188 18.6750812

Scab Disease Data

Critical value for all possible 1-df Scheffe F-tests

The IML Procedure

critval

critval
2.49041

ScheffeCritval

ScheffeCritval
14.94246

Scab Disease Data

Table of Scheffe critical values for COLLECTIONS of contrasts

The IML Procedure

numdf_dendf_alpha

Initial test has 6 and 25 degrees of freedom. Using significance level alpha = 0.05

S_table

Number of Contrasts in followup F-test Scheffe Critical Value
1 14.94246
2 7.4712301
3 4.98082
4 3.735615
5 2.988492
6 2.49041

Scab Disease Data

Test differences among treatments excluding control

Using contrasts of all means (traditional)

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
condition 7 Control Fall1200 Fall300 Fall600 Spring1200 Spring300 Spring600

Number of Observations

Number of Observations Read 32
Number of Observations Used 32

Scab Disease Data

Test differences among treatments excluding control

Using contrasts of all means (traditional)

The GLM Procedure

Dependent Variable: infection Ave percent surface covered

Analysis of Variance

infection

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 6 972.413850 162.068975 3.61 0.0103
Error 25 1122.880900 44.915236    
Corrected Total 31 2095.294750      

Fit Statistics

R-Square Coeff Var Root MSE infection Mean
0.464094 42.80644 6.701883 15.65625

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
condition 6 972.4138500 162.0689750 3.61 0.0103

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
condition 6 972.4138500 162.0689750 3.61 0.0103

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
Differences excluding control 5 454.4034333 90.8806867 2.02 0.1099

Box Plot

Fit Plot for Ave percent surface covered by condition

Scab Disease Data

Test differences among treatments excluding control

Subset the data by excluding control

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
condition 6 Fall1200 Fall300 Fall600 Spring1200 Spring300 Spring600

Number of Observations

Number of Observations Read 24
Number of Observations Used 24

Scab Disease Data

Test differences among treatments excluding control

Subset the data by excluding control

The GLM Procedure

Dependent Variable: infection Ave percent surface covered

Analysis of Variance

infection

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 5 454.403433 90.880687 2.58 0.0625
Error 18 633.212100 35.178450    
Corrected Total 23 1087.615533      

Fit Statistics

R-Square Coeff Var Root MSE infection Mean
0.417798 44.48357 5.931142 13.33333

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
condition 5 454.4034333 90.8806867 2.58 0.0625

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
condition 5 454.4034333 90.8806867 2.58 0.0625

Box Plot

Fit Plot for Ave percent surface covered by condition