Question
You want to see if the median Household Income is different among the likely voters of the top three candidates in the Jefferson State Senate
You want to see if the median Household Income is different among the likely voters of the top three candidates in the Jefferson State Senate Primary Geoff Picton, Arnold Pereira, & Megan Harrison. You randomly select 8 voters for each candidate.
At the 0.05 significance level, is there a difference median household income?
Median Household Income (Picton) | Median Household Income (Pereira) | Median Household Income (Harrison) |
39842 | 38230 | 59384 |
30113 | 34621 | 59389 |
66301 | 48113 | 87273 |
95443 | 88225 | 42433 |
37814 | 34526 | 58475 |
49020 | 44537 | 80084 |
45332 | 40338 | 112938 |
30211 | 34219 | 59383 |
STEP A: Calculate, c, the number of groups.
STEP B: Calculate, , the number of observations for each group, j.
STEP C: Calculate the mean value for each group, .
STEP D: Calculate the grand mean, .
STEP E: Calculate the degrees of freedom for:
- SST: Total Sum of Squares
- SSA: Among Group Variation
- SSW: Within Group Variation
STEP F: Calculate:
- SST: Total Sum of Squares
- SSA: Among Group Variation
- SSW: Within Group Variation
STEP G: Calculate:
- MSA: Mean Square Among
- MSW: Mean Square Within
STEP H: What is the Significance of the F-Stat? How do you interpret the F-Stat?
STEP I: Complete a One-Way ANOVA Table
ANOVA | |||||
d.f. | SS | MS | F | p-value | |
Among Groups | |||||
Within Groups | |||||
Total
|
STEP J: Calculate the Tukey-Kramer Critical Range?
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