In a problem of ANOVA involving 3 treatments and 10 observations per treatment, SSE = 399.6. The MSE for this situation is 130.2 48.8 14.8 30.0
Question
In a problem of ANOVA involving 3 treatments and 10 observations per treatment, SSE = 399.6. The MSE for this situation is 130.2 48.8 14.8 30.0
Solution
In an ANOVA problem, the Mean Square Error (MSE) is calculated by dividing the Sum of Squares for Error (SSE) by the degrees of freedom for error.
The degrees of freedom for error is calculated by subtracting the number of treatments from the total number of observations.
In this case, there are 3 treatments and 10 observations per treatment, so the total number of observations is 3*10 = 30.
So, the degrees of freedom for error is 30 - 3 = 27.
Therefore, the MSE is SSE/df_error = 399.6/27 = 14.8.
So, the MSE for this situation is 14.8.
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