Which of the following statements are true?
A) In some experiments, different samples contain different numbers of observations. However, the concepts and methods of single-factor ANOVA are most easily developed for the case of equal sample sizes.
B) The population or treatment distributions in single-factor ANOVA are all assumed to be normally distributed with the same variance $\sigma ^ { 2 }$
C) In one-way ANOVA, if either the normality assumption or the assumption of equal variances is judged implausible, a method of analysis other than the usual F test must be employed.
D) The test statistic for single-factor ANOVA is F = MSTr/MSE, where MSTr is the mean square for treatments, and MSE is the mean square for error.
E) All of the above statements are true.

Question

Which of the following statements are true?
A) In some experiments, different samples contain different numbers of observations. However, the concepts and methods of single-factor ANOVA are most easily developed for the case of equal sample sizes. 
B) The population or treatment distributions in single-factor ANOVA are all assumed to be normally distributed with the same variance $\sigma ^ { 2 }$ 
C) In one-way ANOVA, if either the normality assumption or the assumption of equal variances is judged implausible, a method of analysis other than the usual F test must be employed. 
D) The test statistic for single-factor ANOVA is F = MSTr/MSE, where MSTr is the mean square for treatments, and MSE is the mean square for error. 
E) All of the above statements are true.

Quizplus · Accepted Answer

The Answer of Which of the following statements are true?
A) In some experiments, different samples contain different numbers of observations. However, the concepts and methods of single-factor ANOVA are most easily developed for the case of equal sample sizes. 
B) The population or treatment distributions in single-factor ANOVA are all assumed to be normally distributed with the same variance $\sigma ^ { 2 }$ 
C) In one-way ANOVA, if either the normality assumption or the assumption of equal variances is judged implausible, a method of analysis other than the usual F test must be employed. 
D) The test statistic for single-factor ANOVA is F = MSTr/MSE, where MSTr is the mean square for treatments, and MSE is the mean square for error. 
E) All of the above statements are true.

Which of the Following Statements Are True? A) in Some σ2\sigma ^ { 2 }σ2

Which of the Following Statements Are True?
A) in Some $\sigma ^ { 2 }$