1. Which is the Excel function to find the critical value of F
for an ANOVA for ??= .05, df1 = 5, df2 = 12?

A. =F.DIST(.05, 5, 12)

B. =F.INV(.05, 5, 12)

C. =F.DIST(.05, 4, 11)

D. = F.INV.RT(.05, 5, 12)

2. Variation “within” the ANOVA treatments represents A. Random
variation B. Differences between group means C. Differences between
group variances D. The effect of sample size

3. Which is not an assumption of ANOVA?

A. Normality of the treatment populations

B. Homogeneous treatment variances

C. Independent sample observations

D. Equal population sizes for groups

4. In an ANOVA, when would the F test statistic be zero?

A. When there is no difference in the variances

B. When the treatment means are the same

C. When the observations are normally distributed

D. The F test statistic cannot ever be zero
5. ANOVA is used to compare

A. Proportions of several groups

B. Variances of several groups

C. Means of several groups

D. Both means and variances
6. Which of the following is not a characteristic of the F
distribution?

A. It is always right-skewed

B. It describes is the ratio of two variances

C. It is a family based on two sets of degrees of freedom

D. It is negative when an inverse relationship exists
7. For populations with unknown but equal variances, to test the
null hypothesis H0: U1 =,U2=,U3= we

A. Cannot use ANOVA since the variances are unknown

B. Can safely employ ANOVA

C. Would prefer three separate t-tests

D. Would employ three-factor ANOVA
8. The computed value of F will be negative

A. When there is no difference in the treatment means

B. When there is no difference within the treatments

C. When the SS(total) is larger than SS(treatment)

D. Under no circumstances
9. Which statement is correct concerning one-factor ANOVA?

A. ANOVA is a test to see whether the variances of c groups are
the same

B. In ANOVA, the c groups are compared two at a time, not
simultaneously

C. ANOVA depends on the assumption of normality of the
populations sampled

D. ANOVA requires that all treatments have the same number of
observations

10. The ratio of the mean square between groups to the mean
square within groups follows which distribution?
A. Z distribution
B. F distribution
C. T distribution
D. Cannot tell without knowing the sample size
11. The within-treatment variation reflects
A. Variation among individuals of the same group
B. Variation among individuals in different groups
C. Variation due to chance and unexplained factors
D. Variation that is not part of the ANOVA model