Stats Homework

Show the correct answer by BOLDING it.

1.
In a one-way, between-subjects ANOVA, MSbn is an estimate of
A.

treatment variance only.

B.

error variance only.

C.

treatment variance plus error variance.

D.

treatment variance minus error variance.

2.
In terms of hypotheses, one of the major differences between the t-test and ANOVA is that
A.

Ha is never defined with the t-test.

B.

H0 is never defined with ANOVA.

C.

ANOVA always involves one-tailed hypotheses.

D.

ANOVA never involves one-tailed hypotheses.

3.
When H0 is true, all scores in the experiment come from the same population and MSbn will be ___________ MSwn.
A.

less than

B.

greater than

C.

equal to

D.

different from

4.
In ANOVA, an independent variable that is studied using independent samples in all conditions is called a
A.

within-subjects factor.

B.

between-subjects factor.

C.

level.

D.

treatment.

5.
Fobt cannot ever be negative because
A.

only absolute differences are used in its computation.

B.

a ratio can never be negative.

C.

the mean squares are variances, which cannot be negative numbers.

D.

the larger variance estimate is always placed in the numerator.

6.
Treatment variance is defined as the differences between scores that occur because
A.

the scores differ from the mean of their condition.

B.

the scores are from different populations.

C.

the scores inherently vary or differ to a certain extent.

D.

of sampling error.

7.
Suppose you perform an ANOVA on 18 subjects divided evenly into three groups according to age. Reading speed is measured and averaged for each of the three groups. The reading speed for the Young Group is 10; for the Middle Group, 12; and for the Older Group, 13. Your F-obtained is 9.15. This is a significant F-obtained. Which of the following is the correct way to report this finding?
A.

The Older Group reads significantly faster than any other group.

B.

The Young Group reads significantly faster than any other group.

C.

There is a significant difference between the Older Group and the Middle Group.

D.

There is a significant difference among the reading speeds somewhere.

8.
The F-distribution is defined as the
A.

distribution of all possible values of F regardless of whether H0 is true or false.

B.

sampling distribution showing all values of F that occur when H0 is true and all conditions represent one population ?.

C.

distance of each sample mean from the mean of the sampling distribution in estimated standard error units.

D.

sampling distribution showing all values of F that occur when H0 is false and all conditions represent different population ?s.

9.
Which of the following would not result in an increase in the power of ANOVA?
A.

Increasing the differences between the conditions of the independent variable

B.

Increasing the variability of the scores within each condition

C.

Increasing the n of small samples

D.

Reducing the variability of the scores within each condition

10.
Sarah Ann designed, conducted, analyzed, wrote, and published an experiment. In the 2 x 4 ANOVA, the F value for Art Medium was indicating a significant difference in the Time it took to produce works of art using different media. The F value for Size of the art work was indicating a nonsignificant finding. The interaction also was nonsignificant. What was the dependent variable?
A.

Art Medium

B.

Time

C.

Size

D.

Quality

11.
The H0 for a main effect of a two-way ANOVA is that the samples in the various levels are drawn from populations where
A.

there are unequal variances.

B.

there are equal means.

C.

there are equal variances.

D.

the scores are normally distributed.

12.
A significant interaction effect indicates that
A.

the influence of one factor is not the same for each level of the other factor.

B.

the influence of one factor is the same for each level of the other factor.

C.

the relationship between one factor and the dependent variable differs from the relationship between the other factor and the dependent variable.

D.

the dependent variable differs depending on the level of a factor.

13.
When an experiment design has two factors but one factor involves related samples while the other factor involves independent samples, we should perform a
A.

two-way within-subjects ANOVA.

B.

two-way between-subjects ANOVA.

C.

two-way mixed-design ANOVA.

D.

two-way independent–related samples ANOVA.

14.
In a two-way ANOVA, the values of n and k
A.

may be different for each factor.

B.

may be different for each level within a factor.

C.

will always be the same for each factor.

D.

will never be the same for different factors.

15.
An interaction effect that is not significant indicates that
A.

the influence of one factor is not the same for each level of the other factor.

B.

the influence of one factor is the same for each level of the other factor.

C.

the relationship between one factor and the dependent variable differs from the relationship between the other factor and the dependent variable.

D.

the dependent variable differs depending on the level of a factor.

16.
A complete factorial design occurs when
A.

all levels of one factor are combined with all levels of the other factor.

B.

all levels of one factor are not combined with all levels of the other factor.

C.

the researcher is finished collecting all the data from a two-factor study.

D.

all statistical analyses, including post hoc comparisons and the calculation of are completed.

17.
If you are interested in how well students perform on a standardized math achievement test after they have completed a six-week math unit in either a computer-assisted class, a videotaped course, or a regular classroom, what kind of design do you have (there is no pre-test)?
A.

A 3 × 3 between-subjects, factorial design

B.

A 2 × 2 between-subjects, factorial design

C.

A 3 × 3 between-subjects, incomplete factorial design

D.

A one-way design

18.
When are nonparametric procedures used instead of parametric procedures?
A.

When a more powerful test is needed

B.

When our data do not meet the assumptions of parametric procedures

C.

When our sample is relatively small

D.

When measurement is interval or ratio

19.
Nonparametric procedures are usually not our first choice among statistical procedures because
A.

the probability of making a Type I error is too high.

B.

the probability of making a Type II error is too high.

C.

nonparametric procedures are not inferential statistics.

D.

they are less powerful than parametric procedures.

20.
A recent news report indicated that out of 105 people polled, 65 men and 15 women had given the president a high approval rating, while 15 men and 10 women had given the president a low approval rating. A chi-square test yields these results: ?2 = 8.33, df = 1, p < .01. You would conclude: A. Men tend to approve of the president’s performance; women don’t. B. Women are more likely to approve of the president than are men. C. Men are more likely to approve of the president than are women. D. Men and women do not differ significantly in their approval of the president. 21. The board of trustees of a small college demanded a more diverse student body. Most of the college's minority students came from a large metropolitan area. The admissions staff asked graduates outside this area and outside the state to help with recruiting. In addition, some money was spent on media advertising. To assess the effect of this campaign, the current year's requests for applications were classified as Large Metropolitan Area (565), Rest of State (410), and Out of State (216). An analysis of addresses over previous years showed Large Metropolitan Area, 51%; Rest of State, 40%; Out of State, 9%. What statistic should be used to analyze these data? A. The for independence B. The for goodness of fit C. The Kruskal-Wallis H D. The Mann-Whitney U 22. A nonparametric procedure that corresponds to the independent samples t-test is the A. Mann-Whitney U. B. Wilcoxon T test. C. Kruskal-Wallis H. D. Friedman . 23. Assume that you have conducted a one-way in which the is that the frequencies in the categories are equal. If the was not significant, the appropriate conclusion is that A. other models of need to be tested. B. we expect that the population of interest is distributed among the categories to the same degree as the sample. C. there is insufficient evidence one way or the other regarding how the population of interest is distributed among the categories. D. the population of interest is distributed equally among the categories.

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