Question

1. Which of the following statements are true of One-way ANOVA test?

a. It is a robust test (with sufficiently large samples and relatively equal groups) even when the sample data are statistically significantly different from normal distribution.

b. All of the other statements are correct.

c. It involves a dependent variable measured on a continuous scale.

d. It involves an independent variable measured on a categorical scale with 2+ groups/categories.

e.It compares the mean/average scores of the 2+ groups on the dependent variable.

2. In an ANOVA, if none of the groups differ statistically significantly from each other, then the calculated/derived Fvalue would be:

a.  0.50 or very close to 0.50

b. 1.00 or very close to 1.00

c. 0.00 or very close to 0.00

e. 0.01 or very close to 0.01

3. In One-way ANOVA test, ANOVA/Welch are considered omnibus tests because

a.there are two or more null hypotheses.

b.  None of the other answers are correct

c.  there are two outcomes but three alternatives.

e.they test multiple means all at once using a single null hypothesis.

Answer 1

(1)

Correct option:

b.   All of the other statements are correct.

(2)

Correct option:

b.   1.00 or very close to 1.00

Explanation:

When there is no group difference, the expected valu of the numerator and denominator will be equal.

(3)

Correct option:

(e) they test multiple means all at once using a single null hypothesis.

Explanation:

One way ANOVA is an omnibus test statistic and cannot tell us which specific groups are significantly different from each other. It tells us only that at least 2 groups are different.