A researcher wishes to see whether the type of gasoline used and the type of aut

Question

A researcher wishes to see whether the type of gasoline used and the type of automobile driven have any effect on gasoline consumption. Two types of gasoline, regular, and high-octane, will be used, and two types of automobiles, two –wheel – and four –wheel-drive, will be used in each group. There will be two automobiles in each group, for a total of eight automobiles used. Complete the following two-way ANOVA table.

The value of the mean square for the error is ________ (use 2 decimals )

ANOVA Source of Variation SS df MS F P-value F crit Rows (type of gas) 19.69 1 Columns (type of automobile) 6.91 1 Interaction 20.46 1 Within (Error) 19.38 4 Total 7

Explanation / Answer

Mean squares are used in analysis of variance and are calculated as a sum of squares divided by its appropriate degrees of freedom.

Hence MSE=SSE/df(error)=19.38/4=4.845

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