Based on the results of a two-factor factorial experiment,the ANOVA table showed that SSE = 5.5.If we ignore one of the factors and perform a one-way ANOVA using the same data,the SSE will _________________ be smaller than 5.5.
A)always
B)sometimes
C)never

Question

Quizplus · Accepted Answer

Ignoring one of the factors in a two-factor factorial experiment and performing a one-way ANOVA generally leads to a loss of information about the interaction between the factors. This typically results in a higher SSE (Sum of Squares due to Error) because the model is less capable of explaining the variability in the data. Therefore, the SSE will never be smaller when ignoring a factor; it will either stay the same or increase.

Based on the Results of a Two-Factor Factorial Experiment,the ANOVA