What is the Sum of Squares for Error (SSE) in the following ANOVA table?

- Degrees of Freedom (d.f.): Error 84
- Sum of Squares (SS): Treatments 5
- Mean Squares: 10
- F-statistic: 3.24

Question

High School

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Answer :

RoseDavidson RoseDavidson · Answer 1 · 2024-02-21T19:02:38-05:00

SSE = s²e = 84 Hence, the SSE in the ANOVA table is 84.

Given that the following ANOVA table has the values below:d.f.

Sum of squares Treatments 5 Error 84 Mean squares 10 F-statistic 3.24

We are to find the SSE in the ANOVA table.

SSE (sum of squared error) is the measure of the variation in the sample that is not explained by the regression model.

SSE is an estimate of the variance that is still present when the regression model has been applied to the data.

Let SSE = s²e,

Then,s²e = MSE x dfe,

where MSE is the mean squared error, and dfe is the degrees of freedom for error.Solving for SSE;s²e = MSE x dfe84 = 10 x 8.4

Therefore, SSE = s²e = 84 Hence, the SSE in the ANOVA table is 84.

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