Homework SourseHow can I fill out this ANOVA table this is a one way anova
How can I fill out this ANOVA table? (this is a one way anova)
2.How can I calculate the F statistic?
3.How can I find the critical F ration given a type I error rate of 0.05
4.Can I reject the null?
| source of variation | sum of square | df | Mean square |
| Between group | 160 | (a) | 40 |
| Within group | 120 | 5 | (b) |
| Total | (c) | (d) |
Solution
--------------------------------------------------------------------------------------------------------
2.How can I calculate the F statistic?
F= MSR/MSE
=40/24
=1.666667
--------------------------------------------------------------------------------------------------------
3.How can I find the critical F ration given a type I error rate of 0.05
Given a=0.05, the critical value is F(0.95, df1=4, df2=5) =5.19 (from F table)
--------------------------------------------------------------------------------------------------------
4.Can I reject the null?
Since F=1.666667 is less than 5.19, we do not reject the null hypothesis.
| source of variation | sum of square | df | Mean square |
| Between group | 160 | 160/40=4 | 40 |
| Within group | 120 | 5 | 120/5=24 |
| Total | 160+120=280 | 4+5=9 |
