Which of the Following Statements Are Not True?
A) the Model

Multiple Choice

Which of the following statements are not true?

A) The model specified by $X _ { y } = \alpha _ { ? } + \beta _ { j } + \varepsilon _ { y } \text { and } \mu _ { y } = \alpha _ { ?} + \beta _ { j } ( i = 1 , \ldots \ldots , I \text { and } j = 1 , \ldots \ldots , J )$
Is called an additive model.
B) The model $X _ { y} = \mu + \alpha _ { i } + \beta _ { j } + \varepsilon _ { \mathrm { ij } } \text { where } \sum _ { i = 1 } ^ { \mathrm { I } } \alpha _ {i } = 0 , \sum _ { j=1} ^ { j } \beta _ { j } = 0 \text {, and the } \varepsilon _ { y } { } ^ { \prime } s$
Are assumed independent, normally distributed with mean 0 and common variance $\sigma ^ { 2 }$
Is an additive model in which the parameters are uniquely determined.
C) In two-way ANOVA, when the model is additive, additivity means that the difference in mean responses for two levels of one of the factors is the same for all levels of the other factor.
D) All of the above statements are true.
E) None of the above statements are true.