Which of the Following Statements Are Not True Regarding the Model

question 54

Multiple Choice

Which of the following statements are not true regarding the model $X _ { y } = \mu + \alpha _ { i} + \beta _ { j} + \varepsilon _ { y }$ where $\sum _ { l = 1 } ^ { \prime } \alpha _ { 1 } = 0 \text { and } \sum _ { j = 1 } ^ { j } \beta _ { j } = 0 ?$

• A) \(\mu\)
• Is the true grand mean; that is, the mean response averaged over all levels of both factors A and B.
• B) \(\alpha _ { i }\)
• Is the effect of Factor A at level i.
• C) \(\beta _ { j }\)
• Is the effect of Factor B at level j.
• D) \(\varepsilon _ { y }\)
• Are assumed independent and normally distributed with mean 0 and variance 1.
• E) All of the above statements are true.

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