In a study comparing four groups with six observations in each group, the MSE = 487...
In a study comparing four groups with six observations in each group, the MSE = 487 and the MSG = 3456. What is the value of the coefficient of determination?
0.484
0.516
0.587
0.939
Homework Answers
Hello Sir/ Mam
YOUR REQUIRED ANSWER IS OPTION B : 0.516
We know that:
df for between groups is 1 less than the number of groups and total is 1 less than the total.
Hence, df for between is 3 while total is 23. Hence, for within is 20.
Also, sum of squares = mean squares*n
And
Coefficient of determination = SSG/ SST
Hence,
| Source | df | SS | MS |
| Treatment | 3 | 10368 | 3456 |
| Error | 20 | 9740 | 487 |
| Total | 23 | 20108 |
I hope this solves your doubt.
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