1-Which is NOT a correct assumption about ANOVA?
Select one:
a. Observations in each group are a random sample of the same population
b. Observations must be independent
c. Observations ( y ) in each group are normally distributed in each of the populations
d. Variance within each group is the same
2-In ANOVA, ____________ groups variation is defined as the variability of the observations belonging to the same group.
Select one:
a. Within
b. Between
c. Total
d. None of the above
3-You have data on 58 patients who used one of the 4 drugs to treat their blood pressure. You want to conduct an ANOVA to test whether the change in systolic blood pressure is the same across each drug. You are provided the partially filled ANOVA table below. Calculate the F-statistic.
Select one:
a. 7.32
b. 9.09
c. 7.19
d. 9.59
4- You have data on a sample of 100 patients in total from 5 hospitals in a hospital system. You want to test the null hypothesis that the mean charges in hospitals are equal to each other against the alternative that they are not. You conduct an ANOVA test to calculate the F-statistic. What are the degrees of freedom for the numerator and denominator respectively for the F-distribution?
Select one:
a. 99, 4
b. 4, 95
c. 5, 95
d. 95, 4
5-The F-distribution in ANOVA is defined by which two parameters?
Select one:
a. Average number of observations in each group, and standard deviation in each group
b. Mean and variance of each groups
c. Number of groups and number of observations
d. None of the above
6-Which of the statements below is NOT correct?
Select one:
a. If the F-statistic in ANOVA is significant, then simply conducting hypothesis tests of the differences of two means (pairwise comparisons) is problematic.
b. If the F-statistic in ANOVA is significant, even post-hoc testing is not able to determine whether any particular pair or pair of means differ from one another.
c. A significant F-statistic in ANOVA means that there is a difference among the means for the different groups.
d. If the F-statistic in ANOVA is significant, it is possible to determine whether any particular pair or pair of means differ from one another using bonferroni adjustment.
7- In ANOVA, if MSB (Between group variance divided by degrees of freedom) and MSW (Within group variance divided by degrees of freedom) are about the same, then the F-statistic for ANOVA is:
Select one:
a. Approximately 0
b. Approximately 1
c. Approximately greater than 1
d. None of the above
8-In ANOVA, ____________ groups variation is defined as the variability of the observations belonging to different groups.
Select one:
a. Within
b. Between
c. Total
d. None of the above
9-ANOVA does NOT tell you whether any particular pair of means differs from one another.
Select one:
a. True
b. False
10- Suppose you are comparing the average length of stay of System 1, System 2, and System 3. Does average length of stay differ across a system’s 3 hospital facilities? State the null hypothesis for the ANOVA test.
Select one:
a.
b.
c.
d. None of the above
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