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Comment briefly on the following statements and determine whether or not the statements are true: 1.  ...

Comment briefly on the following statements and determine whether or not the statements are true:
1.   In one factor ANOVA where the factor is fixed, a highly significant F statistic (p <0.001) indicates that the K population means are all different.

2.   In one factor ANOVA, we need to use multiple comparisons (like Tukey procedure) because it is impossible to compare K means all at once.

Math   Statistics-And-Probability   
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Answer #1

(1)

The statement is not true.

Explanation: In one factor ANOVA where the factor is fixed, a highly significant F statistic (P <0.001) indicates that at least one population mean out of the K populations is different from the other K - 1 population means.

(2)

The statement is true

Explanation:The one way ANOVA answers the question: Are all the means equal?". But, we require multiple comparisons (like Turkey procedure) to answer: which means are equal and by how much?

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