Results: scab1.sas

Scab Disease Data

Read Data from an Excel Spreadsheet

The Print Procedure

Data Set WORK.SCAB

Obs Condition Infection
1 Control 35.26
2 Control 30.69
3 Control 15.56
4 Control 31.59
5 Control 15.91
6 Control 15.77
7 Control 19.07
8 Control 17.15
9 Spring300 19.96
10 Spring300 30.12
11 Spring300 11.78
12 Spring300 5.13
13 Spring600 20.63
14 Spring600 22.75
15 Spring600 18.22
16 Spring600 11.4
17 Spring1200 19.84
18 Spring1200 15.45
19 Spring1200 8.11
20 Spring1200 13.61
21 Fall300 5.52
22 Fall300 4.8
23 Fall300 5.08
24 Fall300 12.59
25 Fall600 16.14
26 Fall600 14.54
27 Fall600 11.1
28 Fall600 20.23
29 Fall1200 2.01
30 Fall1200 8.48
31 Fall1200 7.43
32 Fall1200 5.08

Scab Disease Data

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The FREQ Procedure

The Freq Procedure

Table Condition

One-Way Frequencies

Condition
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

Read Data from an Excel Spreadsheet

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 6.9975000 3.7400925 4.8000000 12.5900000
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

Read Data from an Excel Spreadsheet

The Boxplot Procedure

Infection

Panel 1

Box Plot for Infection

Scab Disease Data

Read Data from an Excel Spreadsheet

All pairwise comparisons

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

Read Data from an Excel Spreadsheet

All pairwise comparisons

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 1117.463850 186.243975 4.26 0.0043
Error 25 1091.830900 43.673236    
Corrected Total 31 2209.294750      

Fit Statistics

R-Square Coeff Var Root MSE Infection Mean
0.505801 43.07013 6.608573 15.34375

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
Condition 6 1117.463850 186.243975 4.26 0.0043

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
Condition 6 1117.463850 186.243975 4.26 0.0043

Scab Disease Data

Read Data from an Excel Spreadsheet

All pairwise comparisons

The GLM Procedure

Least Squares Means

Least Squares Means

Condition

Infection

LSMeans

Condition Infection LSMEAN LSMEAN Number
Control 22.6250000 1
Fall1200 5.7500000 2
Fall300 6.9975000 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
 
 
4.16985
0.0003
3.86159
0.0007
1.759986
0.0906
2.068863
0.0490
1.452343
0.1588
1.081072
0.2900
2
-4.16985
0.0003
 
 
-0.26696
0.7917
-2.087
0.0472
-1.81951
0.0808
-2.35343
0.0268
-2.67496
0.0130
3
-3.86159
0.0007
0.266961
0.7917
 
 
-1.82004
0.0807
-1.55255
0.1331
-2.08647
0.0473
-2.408
0.0237
4
-1.75999
0.0906
2.087004
0.0472
1.820043
0.0807
 
 
0.267496
0.7913
-0.26643
0.7921
-0.58796
0.5618
5
-2.06886
0.0490
1.819508
0.0808
1.552547
0.1331
-0.2675
0.7913
 
 
-0.53392
0.5981
-0.85545
0.4004
6
-1.45234
0.1588
2.35343
0.0268
2.086469
0.0473
0.266426
0.7921
0.533922
0.5981
 
 
-0.32153
0.7505
7
-1.08107
0.2900
2.67496
0.0130
2.407999
0.0237
0.587956
0.5618
0.855452
0.4004
0.32153
0.7505
 
 

Note:To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

Scab Disease Data

Read Data from an Excel Spreadsheet

All pairwise comparisons

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 6.9975000 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
 
 
4.16985
0.0052
3.86159
0.0109
1.759986
0.5850
2.068863
0.4000
1.452343
0.7688
1.081072
0.9279
2
-4.16985
0.0052
 
 
-0.26696
1.0000
-2.087
0.3900
-1.81951
0.5480
-2.35343
0.2593
-2.67496
0.1465
3
-3.86159
0.0109
0.266961
1.0000
 
 
-1.82004
0.5477
-1.55255
0.7118
-2.08647
0.3903
-2.408
0.2366
4
-1.75999
0.5850
2.087004
0.3900
1.820043
0.5477
 
 
0.267496
1.0000
-0.26643
1.0000
-0.58796
0.9966
5
-2.06886
0.4000
1.819508
0.5480
1.552547
0.7118
-0.2675
1.0000
 
 
-0.53392
0.9980
-0.85545
0.9760
6
-1.45234
0.7688
2.35343
0.2593
2.086469
0.3903
0.266426
1.0000
0.533922
0.9980
 
 
-0.32153
0.9999
7
-1.08107
0.9279
2.67496
0.1465
2.407999
0.2366
0.587956
0.9966
0.855452
0.9760
0.32153
0.9999
 
 

Scab Disease Data

Read Data from an Excel Spreadsheet

All pairwise comparisons

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 6.9975000 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
 
 
4.16985
0.0067
3.86159
0.0148
1.759986
1.0000
2.068863
1.0000
1.452343
1.0000
1.081072
1.0000
2
-4.16985
0.0067
 
 
-0.26696
1.0000
-2.087
0.9921
-1.81951
1.0000
-2.35343
0.5622
-2.67496
0.2728
3
-3.86159
0.0148
0.266961
1.0000
 
 
-1.82004
1.0000
-1.55255
1.0000
-2.08647
0.9932
-2.408
0.4986
4
-1.75999
1.0000
2.087004
0.9921
1.820043
1.0000
 
 
0.267496
1.0000
-0.26643
1.0000
-0.58796
1.0000
5
-2.06886
1.0000
1.819508
1.0000
1.552547
1.0000
-0.2675
1.0000
 
 
-0.53392
1.0000
-0.85545
1.0000
6
-1.45234
1.0000
2.35343
0.5622
2.086469
0.9932
0.266426
1.0000
0.533922
1.0000
 
 
-0.32153
1.0000
7
-1.08107
1.0000
2.67496
0.2728
2.407999
0.4986
0.587956
1.0000
0.855452
1.0000
0.32153
1.0000
 
 

Scab Disease Data

Read Data from an Excel Spreadsheet

All pairwise comparisons

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 6.9975000 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
 
 
4.16985
0.0277
3.86159
0.0504
1.759986
0.7903
2.068863
0.6422
1.452343
0.9022
1.081072
0.9753
2
-4.16985
0.0277
 
 
-0.26696
1.0000
-2.087
0.6329
-1.81951
0.7639
-2.35343
0.4953
-2.67496
0.3423
3
-3.86159
0.0504
0.266961
1.0000
 
 
-1.82004
0.7637
-1.55255
0.8708
-2.08647
0.6332
-2.408
0.4677
4
-1.75999
0.7903
2.087004
0.6329
1.820043
0.7637
 
 
0.267496
1.0000
-0.26643
1.0000
-0.58796
0.9991
5
-2.06886
0.6422
1.819508
0.7639
1.552547
0.8708
-0.2675
1.0000
 
 
-0.53392
0.9995
-0.85545
0.9927
6
-1.45234
0.9022
2.35343
0.4953
2.086469
0.6332
0.266426
1.0000
0.533922
0.9995
 
 
-0.32153
1.0000
7
-1.08107
0.9753
2.67496
0.3423
2.407999
0.4677
0.587956
0.9991
0.855452
0.9927
0.32153
1.0000
 
 

Scab Disease Data

Read Data from an Excel Spreadsheet

Custom Tests

The GLM Procedure

The GLM Procedure

Data

Class Levels

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

Number of Observations

Number of Observations Read 32
Number of Observations Used 32

Scab Disease Data

Read Data from an Excel Spreadsheet

Custom Tests

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 1117.463850 186.243975 4.26 0.0043
Error 25 1091.830900 43.673236    
Corrected Total 31 2209.294750      

Fit Statistics

R-Square Coeff Var Root MSE Infection Mean
0.505801 43.07013 6.608573 15.34375

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
Condition 6 1117.463850 186.243975 4.26 0.0043

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
Condition 6 1117.463850 186.243975 4.26 0.0043

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
1: Overall test, for comparison 6 1117.463850 186.243975 4.26 0.0043
2a: Spring300 vs. Control 1 92.120017 92.120017 2.11 0.1588
2b: Spring600 vs. Control 1 51.041667 51.041667 1.17 0.2900
2c: Spring1200 vs. Control 1 186.930017 186.930017 4.28 0.0490
2d: Fall300 vs. Control 1 651.250017 651.250017 14.91 0.0007
2e: Fall600 vs. Control 1 135.280017 135.280017 3.10 0.0906
2f: Fall1200 vs. Control 1 759.375000 759.375000 17.39 0.0003
3: Spring vs. Control 1 185.008333 185.008333 4.24 0.0501
4: Fall vs. Control 1 837.408333 837.408333 19.17 0.0002
5: Spring vs. Fall 1 294.000000 294.000000 6.73 0.0156
6: Spring Amount 2 32.616717 16.308358 0.37 0.6922
7: Fall Amount 2 225.336717 112.668358 2.58 0.0958
8a: Spr vs. Fall for 300 lbs. 1 190.125000 190.125000 4.35 0.0473
8b: Spr vs. Fall for 600 lbs. 1 15.097512 15.097512 0.35 0.5618
8c: Spr vs. Fall, 1200 lbs 1 144.585012 144.585012 3.31 0.0808

Estimates

Parameter Estimate Standard
Error		 t Value Pr > |t| 95% Confidence Limits
Control vs. Fall 1200 16.8750000 4.04690789 4.17 0.0003 8.5402372 25.2097628
Control vs. Mean of Fall 13.2083333 3.01638705 4.38 0.0002 6.9959679 19.4206988
Spring minus Fall 7.0000000 2.69793860 2.59 0.0156 1.4434914 12.5565086

Box Plot

Fit Plot for Ave percent surface covered by Condition

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 1117.463850 186.243975 4.26 0.0043
Error 25 1091.830900 43.673236    
Corrected Total 31 2209.294750      

Fit Statistics

R-Square Coeff Var Root MSE Infection Mean
0.505801 43.07013 6.608573 15.34375

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
Condition 6 1117.463850 186.243975 4.26 0.0043

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
Condition 6 1117.463850 186.243975 4.26 0.0043

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
Differences excluding control 5 551.9534333 110.3906867 2.53 0.0553

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 5 551.953433 110.390687 3.30 0.0274
Error 18 602.162100 33.453450    
Corrected Total 23 1154.115533      

Fit Statistics

R-Square Coeff Var Root MSE Infection Mean
0.478248 44.77855 5.783896 12.91667

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
Condition 5 551.9534333 110.3906867 3.30 0.0274

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
Condition 5 551.9534333 110.3906867 3.30 0.0274

 

Plain Language Conclusions