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The Assumptions of Single-Factor ANOVA Can Be Described Succinctly by Means

Question 16

Multiple Choice

The assumptions of single-factor ANOVA can be described succinctly by means of the "model equation" Xij=μi+εij where εijX _ {ij } = \mu _ { i } + \varepsilon _ { ij } \text { where } \varepsilon _ { ij } represents a random deviation from the population or true treatment mean μi\mu _ { i } . Which of the following statements are true?


A) The εijs\varepsilon _ {ij } ^ { \prime } \mathrm { s }
Are assumed to be independent.
B) The εijs\varepsilon _ { i j } ^ { \prime } \mathrm { s }
Are normally distributed random variables.
C) E(εij) =0E \left( \varepsilon _ { ij } \right) = 0
For every i and j.
D) V(εij) =σ2V \left( \varepsilon _ {ij } \right) = \sigma ^ { 2 }
For every i and j.
E) All of the above statements are true.

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