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" $X _ {ij } = \mu _ { i } + \varepsilon _ { ij } \text { where } \varepsilon _ { ij }$ represents a random deviation from the population or true treatment mean $\mu _ { i }$ . Which of the following statements are true?

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

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