Perform Tukey's Procedures. What information can you get from the output and graph(s)? Isthere a significant difference in the average leaf size? Which pair(s) of means maybe different,which pair means maybe the same?
2.Perform Fisher's Procedures. What information can you get from the output and graph(s)? Isthere a significant difference in the average leaf size? Which pair(s) of means maybe different,which pair means maybe the same?
3.Perform Dunnett's Procedures. What information can you get from the output and graph(s)?Is there a significant difference in the average leaf size? Which pair(s) of means maybe different,which pair means maybe the same?
4.Compare all three procedures, do they agree with each other? If they do not agree with eachother, what are the differences? Any final conclusion(s) can you draw?
Method Null hypothesis All means are equal Alternative hypothesis Not all means are equal Significance level a = 0.05 Equal variances were assumed for the analysis. Factor Information Factor Levels Values Factor 4 A-leafSi, B-leafSi, C-leafSi, D-leafSi Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Factor 3 3961.2 1320.38 53.49 0.000 Error 36 888.7 24.69 Total 39 4849.8 Model Summary S R-sq R-sq(adj) R-sq(pred) 4.96841 81.68% 80.15% 77.38%Means Factor N Mean StDev 95% CI A-leafSi 10 23.37 5.70 (20.18, 26.55) B-leafSi 10 8.57 4.21 (5.39, 11.76) C-leafSi 10 14.93 4.46 (11.75, 18.12) D-leafSi 10 35.15 5.36 (31.97, 38.34) Pooled StDev = 4.96841 Fisher Pairwise Comparisons Grouping Information Using the Fisher LSD Method and 95% Confidence Factor N Mean Grouping D-leafSi 10 35.15 A A-leafSi 10 23.37 B C-leafSi 10 14.93 C B-leafSi 10 8.57 D Means that do not share a letter are significantly different.Fisher Individual 95% CIs Difference of Means for A-leafSi, B-leafSi, ... B-leafSi - A-leafSi C-leafSi - A-leafSi D-leafSi - A-leafSi C-leafSi - B-leafSi D-leafSi - B-leafSi D-leafSi - C-leafSi 20 -10 10 20 30 If an interval does not contain zero, the corresponding means are significantly different.Interval Plot of A-leafSi, B-leafSi, ... 95% Cl for the Mean 40 35 30 25 Data 20 15 10 5 A-leafSi B-leafSi C-leafSi D-leafSi The pooled standard deviation is used to calculate the intervals.Method Null hypothesis All means are equal Alternative hypothesis Not all means are equal Significance level a = 0.05 Equal variances were assumed for the analysis. Factor Information Factor Levels Values Factor 4 A-leafSi, B-leafSi, C-leafSi, D-leafSi Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Factor 3 3961.2 1320.38 53.49 0.000 Error 36 888.7 24.69 Total 39 4849.8 Model Summary S R-sq R-sq(adj) R-sq(pred) 4.96841 81.68% 80.15% 77.38%Means Factor N Mean StDev 95% CI A-leafSi 10 23.37 5.70 (20.18, 26.55) B-leafSi 10 8.57 4.21 (5.39, 11.76) C-leafSi 10 14.93 4.46 (11.75, 18.12) D-leafSi 10 35.15 5.36 (31.97, 38.34) Pooled StDev = 4.96841 Tukey Pairwise Comparisons Grouping Information Using the Tukey Method and 95% Confidence Factor N Mean Grouping D-leafSi 10 35.15 A A-leafSi 10 23.37 B C-leafSi 10 14.93 C B-leafSi 10 8.57 D Means that do not share a letter are significantly different.Tukey Simultaneous 95% CIs Difference of Means for A-leafSi, B-leafSi, ... B-leafSi - A-leafSi C-leafSi - A-leafSi D-leafSi - A-leafSi C-leafSi - B-leafSi D-leafSi - B-leafsi D-leafSi - C-leafSi -20 -10 10 20 30 40 If an interval does not contain zero, the corresponding means are significantly different.Interval Plot of A-leafSi, B-leafSi, ... 95% Cl for the Mean 40 35 30 25 Data 20 15 10 5 A-leafSi B-leafSi C-leafSi D-leafSi The pooled standard deviation is used to calculate the intervals
