We wish to determine whether the homicide rate is different in different parts of the country and, if it is different, what is the pattern. We have data on 36 states - 9 each in the four regions Northeast, Midwest, South and West.
Region Homicide rate
An analysis of variance produced the following partial ANOVA table:
Between groups 72.40
Within groups 152.11
Complete the ANOVA table. Show that at 5% we reject the null. Use the Tukey HSD procedure [at 5% level] to determine which means are statistically different from which other of the means. What are your final conclusions?
Below I have completed the ANOVA table as well as the Tukey HSD procedure. Please be sure to verify all calulations.
Source SS df MS F
Between groups 72.40 3 24.13 5.08
Within groups 152.11 32 4.75 ---
Total 224.51 35 --- ---
To fill in the above table, the first step is to determine the within groups df value. It is equal to the total df - between groups df. ...
A step by step solution for an example ANOVA problem, including a Tukey HSD procedure. All steps are completely worked through and contain explanations.