fruitfly fecundity example summary Tuesday, July 17, :13:19 PM 1

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1 fruitfly fecundity example summary Tuesday, July 17, :13:19 PM 1 The UNIVARIATE Procedure Variable: fecund line = NS Basic Statistical Measures Location Variability Mean Std Deviation Median Variance Mode. Range Interquartile Range Tests for Normality Test Statistic p Value Shapiro-Wilk W Pr < W Kolmogorov-Smirnov D Pr > D > Cramer-von Mises W-Sq Pr > W-Sq > Anderson-Darling A-Sq Pr > A-Sq > Quantiles (Definition 5) Level Quantile 100% Max % % % % Q % Median % Q % % % % Min 14.9 Extreme Values Lowest Highest Order Value Order Value

2 fruitfly fecundity example summary Tuesday, July 17, :13:19 PM 2 The UNIVARIATE Procedure Variable: fecund line = RS Basic Statistical Measures Location Variability Mean Std Deviation Median Variance Mode Range Interquartile Range Tests for Normality Test Statistic p Value Shapiro-Wilk W Pr < W Kolmogorov-Smirnov D Pr > D > Cramer-von Mises W-Sq Pr > W-Sq Anderson-Darling A-Sq Pr > A-Sq Quantiles (Definition 5) Level Quantile 100% Max % % % % Q % Median % Q % % % % Min 12.8 Extreme Values Lowest Highest Order Value Freq Order Value Freq

3 fruitfly fecundity example summary Tuesday, July 17, :13:19 PM 3 The UNIVARIATE Procedure Variable: fecund line = SS Basic Statistical Measures Location Variability Mean Std Deviation Median Variance Mode. Range Interquartile Range Tests for Normality Test Statistic p Value Shapiro-Wilk W Pr < W Kolmogorov-Smirnov D Pr > D Cramer-von Mises W-Sq Pr > W-Sq > Anderson-Darling A-Sq Pr > A-Sq Quantiles (Definition 5) Level Quantile 100% Max % % % % Q % Median % Q % % % % Min 10.8 Extreme Values Lowest Highest Order Value Order Value

4 fruitfly fecundity example summary Tuesday, July 17, :13:19 PM 4 The UNIVARIATE Procedure 60 Q-Q Plot for fecund 50 line = RS line = NS fecund Normal Quantiles

5 fruitfly fecundity example summary Tuesday, July 17, :13:19 PM 5 The UNIVARIATE Procedure 60 Q-Q Plot for fecund 50 line = SS fecund Normal Quantiles

6 full model with 3 means (NS,RS,SS) Tuesday, July 17, :13:19 PM 6 Class Level Information Class Levels Values line 3 NS RS SS Number of Observations Read 75 Number of Observations Used 75

7 full model with 3 means (NS,RS,SS) Tuesday, July 17, :13:19 PM 7 Coefficients for Estimate RS vs SS Row 1 Intercept 0 line NS 0 line RS 1 line SS -1

8 full model with 3 means (NS,RS,SS) Tuesday, July 17, :13:19 PM 8 Dependent Variable: fecund Source DF Sum of Squares Mean Square F Value Pr > F Model Error Corrected Total R-Square Coeff Var Root MSE fecund Mean Source DF Type I SS Mean Square F Value Pr > F line Source DF Type III SS Mean Square F Value Pr > F line Contrast DF Contrast SS Mean Square F Value Pr > F RS vs SS Parameter Estimate Standard Error t Value Pr > t 95% Confidence Limits RS vs SS

9 full model with 3 means (NS,RS,SS) Tuesday, July 17, :13:19 PM 9 Dependent Variable: fecund Distribution of fecund 50 F Prob > F fecund NS RS SS line

10 full model with 2 means (NS,selected) Tuesday, July 17, :13:19 PM 10 Class Level Information Class Levels Values line2 2 NS S Number of Observations Read 75 Number of Observations Used 75

11 full model with 2 means (NS,selected) Tuesday, July 17, :13:19 PM 11 Dependent Variable: fecund Source DF Sum of Squares Mean Square F Value Pr > F Model <.0001 Error Corrected Total R-Square Coeff Var Root MSE fecund Mean Source DF Type I SS Mean Square F Value Pr > F line <.0001 Source DF Type III SS Mean Square F Value Pr > F line <.0001 Contrast DF Contrast SS Mean Square F Value Pr > F NS vs selected <.0001 Parameter Estimate Standard Error t Value Pr > t NS vs selected <.0001

12 full model with 2 means (NS,selected) Tuesday, July 17, :13:19 PM 12 Dependent Variable: fecund Distribution of fecund 50 F Prob > F < fecund NS line2 S

13 alternate approach for the full model Tuesday, July 17, :13:19 PM 13 Class Level Information Class Levels Values line 3 NS RS SS Number of Observations Read 75 Number of Observations Used 75

14 alternate approach for the full model Tuesday, July 17, :13:19 PM 14 Dependent Variable: fecund Source DF Sum of Squares Mean Square F Value Pr > F Model Error Corrected Total R-Square Coeff Var Root MSE fecund Mean Source DF Type I SS Mean Square F Value Pr > F line Source DF Type III SS Mean Square F Value Pr > F line Contrast DF Contrast SS Mean Square F Value Pr > F RS vs SS RS vs NS SS vs NS NS vs others Parameter Estimate Standard Error t Value Pr > t 95% Confidence Limits RS vs SS RS vs NS SS vs NS NS vs others

15 alternate approach for the full model Tuesday, July 17, :13:19 PM 15 Dependent Variable: fecund Distribution of fecund 50 F Prob > F fecund NS RS SS line

16 alternate approach for the full model Tuesday, July 17, :13:19 PM 16 Distribution of fecund fecund NS RS SS line

17 alternate approach for the full model Tuesday, July 17, :13:19 PM 17 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. Alpha 0.05 Error Degrees of Freedom 72 Error Mean Square Critical Value of F Minimum Significant Difference Comparisons significant at the 0.05 level are indicated by ***. line Comparison Difference Between Means Simultaneous 95% Confidence Limits NS - RS *** NS - SS *** RS - NS *** RS - SS SS - NS *** SS - RS

18 the multiplier for the Scheffe intervals Tuesday, July 17, :13:19 PM 18 Obs F multi

19 simultaneous Scheffe type intervals Tuesday, July 17, :13:19 PM 19 Obs differ estimate stderr lowercl uppercl 1 RS_SS RS_NS SS_NS NS_other