help calculate the f ratio for these values and setting up steps thank you!
Here, we consider a one-way anova to solve this problem.
Let xij denote the observations correspoind to ith level that is either city, suburb or country, i=1,2,3
For each level we have 6 observations i.e, for k=3 we have n1=n2=n3=6.
Therefore N=3*6=18
So, our model is
where, i=1(|)3 and j=1(6)
The following formulas are used here to calculate the f ratio-
Sum square due to error (SSE)=TSS - SSA
Now, we draw the followinf table to calculate the above-
Level | City | Suburb | Country |
5 | 3 | 2 | |
10 | 5 | 1 | |
6 | 2 | 7 | |
2 | 4 | 2 | |
5 | 3 | 2 | |
3 | 5 | 3 | |
Ti0 | 31 | 22 | 17 |
Ti02 | 961 | 484 | 289 |
G=70 , CF=272.2222
TSS = 85.7778 , SSA = 16.7778 , SSE = 69
Now we find the degrees of freedom of each
df(TSS)=N-k=18-1=17
df(SSA)=k-1=3-1=2
df(SSE)=N-k=18-3=15
Now, we calculate the mean sum of squares which are given by,
MSA=SSA/df = 8.3889
MSE = SSE/df =4.6
Therefore, f ratio = MSA/MSE = 1.8236
help calculate the f ratio for these values and setting up steps thank you! Country και...
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