A two-way ANOVA is conducted and the error sum of squares is worked out as 140.59.If the researcher chooses to ignore one of the factors and perform a one-way ANOVA with the same data,the error sum of squares will be smaller than 140.59.

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Ignoring one of the factors in a two-way ANOVA and performing a one-way ANOVA instead generally leads to a larger error sum of squares because the variation explained by the ignored factor is now included in the error term, increasing its value.

A Two-Way ANOVA Is Conducted and the Error Sum of Squares