# ANOVA Paper

There three groups; placebo group, 20mg treatment group, and 10mg group. One-way ANOVA was done for all the groups, placebo group & 10mg treatment group; 10mg & 20mg treatment groups and placebo group & 20mg treatment group. The results are as shown below.

 Anova: Single Factor SUMMARY Groups Count Sum Average Variance Placebo Group 12 827 68.91667 86.26515 10mg Treatment Group 12 794 66.16667 153.2424 20mg Treatment Group 12 782 65.16667 232.8788 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 90.5 2 45.25 0.287371 0.752092 3.284918 Within Groups 5196.25 33 157.4621 Total 5286.75 35

Table 1: Placebo & 10mg treatment & 20mg treatment

Results as shown in Table 1 show that there were no statistically significant differences between group means as shown by single factor ANOVA since the p-value is greater than 0.05 (0.75>0.05). The group means were; 68.91, 66.17, & 65.17 for placebo group, 10mg treatment group 7 20MG treatment group respectively. The test was done at 95% confidence level.

 Anova: Single Factor SUMMARY Groups Count Sum Average Variance 10mg Treatment Group 12 794 66.16667 153.2424 20mg Treatment Group 12 782 65.16667 232.8788 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 6 1 6 0.031078 0.861679 4.30095 Within Groups 4247.333 22 193.0606 Total 4253.333 23

Table 2: 10mg & 20 mg treatment groups

Results as shown in Table 1 show that there were no statistically significant differences between group means as shown by single factor ANOVA since the p-value is greater than 0.05 (0.8617>0.05).

 Anova: Single Factor SUMMARY Groups Count Sum Average Variance Placebo Group 12 827 68.91667 86.26515 10mg Treatment Group 12 794 66.16667 153.2424 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 45.375 1 45.375 0.378902 0.544507 4.30095 Within Groups 2634.583 22 119.7538 Total 2679.958 23

Table 3: Placebo group & 10mg treatment group

Results as shown in Table 3 show that there were no statistically significant differences between group means as shown by single factor ANOVA since the p-value is greater than 0.05 (0.544>0.05).

 Anova: Single Factor SUMMARY Groups Count Sum Average Variance 20mg Treatment Group 12 782 65.16667 232.8788 Placebo Group 12 827 68.91667 86.26515 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 84.375 1 84.375 0.528758 0.474797 4.30095 Within Groups 3510.583 22 159.572 Total 3594.958 23

Table 4: 20mg & Placebo

Results as shown in Table 4 show that there were no statistically significant differences between group means as shown by single factor ANOVA since the p-value is greater than 0.05 (0.0.475>0.05).

All the group means were not statistically significant since their p-values were greater than 0.05. therefore if there was any null hypothesis it would be accepted.