Which of the Following Statements Are Not True?
A) in a Two-Factor

Multiple Choice

Which of the following statements are not true?

A) In a two-factor experiment there are I levels of one factor and J levels of the other factor. When there is more than one observation for at least one (i,j) pair of the IJ combinations of levels of the two factors, a valid estimator of the random error variance $\sigma ^ { 2}$
Cannot be obtained without assuming additivity.
B) In a two-factor experiment, additivity means that the difference in true average responses for any two levels of one of the factors is the same for each level of the other factor.
C) The parameters for the fixed effects model with interaction are $\alpha _ { i } = \mu _ {i } - \mu =$
The effect of factor A at level $i , \beta _ { j } = \mu. j - \mu =$
The effect of factor B at level j, and $\lambda _ { y } = \mu _ { y } - \left( \mu + \alpha _ { i } + \beta _ { j } \right) =$
The interaction of factor A at level i and factor B at level j. Thus, the model is $\mu _ { y } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { y }$
This model is additive if and only if $y _ { y } = 0 \text { for all } ( i , j )$
D) All of the above statements are true.
E) None of the above statements are true.