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Regression Equation for Treatment and Errors

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In a completely randomized experimental design, 18 experimental units were used for the first treatment, 10 experimental units were used for the second treatent, and 15 experimental unites were used for the first treatment. Part of the ANOVA table for this experiment is show below.
(Source of Variation, Sume of Squares, Degress of Freedom, Mean Square, F)

Between Treatments, ?, ?,?, 3.0
Error (within treatments, ? , ?, 6
Total, ?, ?

Fill in all the blanks with question marks in the above ANOVA table.
At a 95% confidence, test to see if ther is a significant diffference among the means.

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Solution Summary

The expert examines the regression equation for treatment and errors.

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a) It is given that, F = 3.0 and MSE = 6
Since F = MSTR/MSE, we have
MSTR = F*MSE = 3*6 = 18
Since there are three treatments, df(TR) = k -1 = 3 -1 = 2
Since MSTR = SSTR/df(TR), we have
SSTR = MSTR*df(TR) = 18*2 = 36
Since there ...

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