Results: fruitfly2.sas

fruitfly fecundity example summary

The UNIVARIATE Procedure

Variable: fecund

line = NS

The Univariate Procedure

fecund

line = NS

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 33.37200 Std Deviation 8.94201
Median 34.40000 Variance 79.95960
Mode . Range 36.90000
    Interquartile Range 9.70000

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.983892 Pr < W 0.9498
Kolmogorov-Smirnov D 0.11463 Pr > D >0.1500
Cramer-von Mises W-Sq 0.037842 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.21906 Pr > A-Sq >0.2500

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 51.8
99% 51.8
95% 47.4
90% 42.4
75% Q3 37.9
50% Median 34.4
25% Q1 28.2
10% 20.3
5% 19.3
1% 14.9
0% Min 14.9

Extreme Values

Extreme Values
Lowest Highest
Order Value Order Value
1 14.9 21 41.7
2 19.3 22 41.8
3 20.3 23 42.4
4 22.6 24 47.4
5 23.4 25 51.8

fruitfly fecundity example summary

The UNIVARIATE Procedure

Variable: fecund

line = RS

line = RS

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 25.25600 Std Deviation 7.77239
Median 23.60000 Variance 60.41007
Mode 20.30000 Range 31.60000
    Interquartile Range 9.00000

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.949559 Pr < W 0.2450
Kolmogorov-Smirnov D 0.139336 Pr > D >0.1500
Cramer-von Mises W-Sq 0.076663 Pr > W-Sq 0.2253
Anderson-Darling A-Sq 0.473402 Pr > A-Sq 0.2288

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 44.4
99% 44.4
95% 38.7
90% 38.6
75% Q3 29.3
50% Median 23.6
25% Q1 20.3
10% 14.9
5% 14.8
1% 12.8
0% Min 12.8

Extreme Values

Extreme Values
Lowest Highest
Order Value Freq Order Value Freq
1 12.8 1 20 29.6 1
2 14.8 1 21 34.6 1
3 14.9 1 22 38.6 1
4 16.4 1 23 38.7 1
5 19.7 1 24 44.4 1

fruitfly fecundity example summary

The UNIVARIATE Procedure

Variable: fecund

line = SS

line = SS

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 23.62800 Std Deviation 9.76847
Median 22.50000 Variance 95.42293
Mode . Range 37.70000
    Interquartile Range 14.20000

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.939562 Pr < W 0.1446
Kolmogorov-Smirnov D 0.153393 Pr > D 0.1312
Cramer-von Mises W-Sq 0.070113 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.457935 Pr > A-Sq 0.2463

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 48.5
99% 48.5
95% 39.0
90% 38.4
75% Q3 30.2
50% Median 22.5
25% Q1 16.0
10% 12.2
5% 11.6
1% 10.8
0% Min 10.8

Extreme Values

Extreme Values
Lowest Highest
Order Value Order Value
1 10.8 21 32.9
2 11.6 22 33.4
3 12.2 23 38.4
4 12.8 24 39.0
5 14.6 25 48.5

fruitfly fecundity example summary

The UNIVARIATE Procedure

Q-Q Plot 1

Panel 1

Q-Q plot for fecund

Panel 2

Q-Q plot for fecund

full model with 3 means (NS,RS,SS)

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
line 3 NS RS SS

Number of Observations

Number of Observations Read 75
Number of Observations Used 75

full model with 3 means (NS,RS,SS)

The GLM Procedure

Coefficients for estimate RS vs SS

Coefficients for Estimate RS vs SS
  Row 1
Intercept 0
line NS 0
line RS 1
line SS -1

full model with 3 means (NS,RS,SS)

The GLM Procedure

 

Dependent Variable: fecund

Analysis of Variance

fecund

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 2 1362.211467 681.105733 8.67 0.0004
Error 72 5659.022400 78.597533    
Corrected Total 74 7021.233867      

Fit Statistics

R-Square Coeff Var Root MSE fecund Mean
0.194013 32.33390 8.865525 27.41867

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
line 2 1362.211467 681.105733 8.67 0.0004

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
line 2 1362.211467 681.105733 8.67 0.0004

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
RS vs SS 1 33.12980000 33.12980000 0.42 0.5182

Estimates

Parameter Estimate Standard
Error		 t Value Pr > |t| 95% Confidence Limits
RS vs SS 1.62800000 2.50754914 0.65 0.5182 -3.37070784 6.62670784

Box Plot

Fit Plot for fecund by line

full model with 2 means (NS,selected)

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
line2 2 NS S

Number of Observations

Number of Observations Read 75
Number of Observations Used 75

full model with 2 means (NS,selected)

The GLM Procedure

 

Dependent Variable: fecund

Analysis of Variance

fecund

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 1 1329.081667 1329.081667 17.05 <.0001
Error 73 5692.152200 77.974688    
Corrected Total 74 7021.233867      

Fit Statistics

R-Square Coeff Var Root MSE fecund Mean
0.189295 32.20553 8.830328 27.41867

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
line2 1 1329.081667 1329.081667 17.05 <.0001

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
line2 1 1329.081667 1329.081667 17.05 <.0001

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
NS vs selected 1 1329.081667 1329.081667 17.05 <.0001

Estimates

Parameter Estimate Standard
Error		 t Value Pr > |t|
NS vs selected 8.93000000 2.16297972 4.13 <.0001

Box Plot

Fit Plot for fecund by line2

alternate approach for the full model

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
line 3 NS RS SS

Number of Observations

Number of Observations Read 75
Number of Observations Used 75

alternate approach for the full model

The GLM Procedure

 

Dependent Variable: fecund

Analysis of Variance

fecund

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 2 1362.211467 681.105733 8.67 0.0004
Error 72 5659.022400 78.597533    
Corrected Total 74 7021.233867      

Fit Statistics

R-Square Coeff Var Root MSE fecund Mean
0.194013 32.33390 8.865525 27.41867

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
line 2 1362.211467 681.105733 8.67 0.0004

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
line 2 1362.211467 681.105733 8.67 0.0004

Contrasts

Contrast DF Contrast SS Mean Square F Value Pr > F
RS vs SS 1 33.129800 33.129800 0.42 0.5182
RS vs NS 1 823.368200 823.368200 10.48 0.0018
SS vs NS 1 1186.819200 1186.819200 15.10 0.0002
NS vs others 1 1329.081667 1329.081667 16.91 0.0001

Estimates

Parameter Estimate Standard
Error		 t Value Pr > |t| 95% Confidence Limits
RS vs SS 1.62800000 2.50754914 0.65 0.5182 -3.37070784 6.62670784
RS vs NS -8.11600000 2.50754914 -3.24 0.0018 -13.11470784 -3.11729216
SS vs NS -9.74400000 2.50754914 -3.89 0.0002 -14.74270784 -4.74529216
NS vs others 8.93000000 2.17160125 4.11 0.0001 4.60099202 13.25900798

Box Plot

Fit Plot for fecund by line

alternate approach for the full model

The GLM Procedure

Means

line

fecund

Distribution of fecund by line

Distribution of fecund by line

Pairwise Multiple Comparisons

Scheffe

alternate approach for the full model

The GLM Procedure

 

Scheffe's Test for fecund

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 72
Error Mean Square 78.59753
Critical Value of F 3.12391
Minimum Significant Difference 6.2678

Pairs

Comparisons significant at the 0.05 level are indicated by ***.
line
Comparison		 Difference
Between
Means		 Simultaneous 95% Confidence Limits  
NS - RS 8.116 1.848 14.384 ***
NS - SS 9.744 3.476 16.012 ***
RS - NS -8.116 -14.384 -1.848 ***
RS - SS 1.628 -4.640 7.896  
SS - NS -9.744 -16.012 -3.476 ***
SS - RS -1.628 -7.896 4.640  

the multiplier for the Scheffe intervals

The Print Procedure

Data Set WORK.SCHEFFE

Obs F multi
1 3.12391 2.49956

simultaneous Scheffe type intervals

The Print Procedure

Data Set WORK.INTERVAL

Obs differ estimate stderr lowerCL upperCL
1 RS_SS 1.628 2.50755 -4.6398 7.8958
2 RS_NS -8.116 2.50755 -14.3838 -1.8482
3 SS_NS -9.744 2.50755 -16.0118 -3.4762
4 NS_other 8.930 2.17160 3.5019 14.3581