Complete Test Bank 1st Edition Ch.11 Analysis Of Variance

Chapter 11

Test Bank

Type: true-false

Title: Chapter 11 Question 01

1. True or False: the problem with conducting multiple t-tests instead of using a post-hoc test is that you increase the risk of type-I errors.

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a) True

b) False

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Title: Chapter 11 Question 02

2. True or False: Tukey HSD can only be used if each condition or level has equal number of participants (i.e., equal n’s).

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a) True

b) False

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Title: Chapter 11 Question 03

3. True or False: Whether or not a statistical procedure turns out to be significant has nothing to do with the size of the sample.

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a) True

b) False

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Title: Chapter 11 Question 04

4. True or False: A significant effect is not always a meaningful effect.

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a) True

b) False

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Title: Chapter 11 Question 05

5. True or False: ANOVAs can be done for mean comparisons between two groups

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a) True

b) False

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Title: Chapter 11 Question 06

6. True or False: In an ANOVA with one factor that has three different conditions, there are a total of 4 levels.

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a) True

b) False

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Title: Chapter 11 Question 07

7. True or False: Unlike a t-test, a one-way ANOVA is used when there is more than one dependent variable

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a) True

b) False

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Title: Chapter 11 Question 08

8. True or False: In a 2 x 2 ANOVA, there are two factors, but a total of four conditions

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a) True

b) False

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Title: Chapter 11 Question 09

9. True or False: Post-hoc tests such as the Tukey should be done regardless of statistical significance when conducting an one-way ANOVA with more than two levels

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a) True

b) False

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Title: Chapter 11 Question 10

10. True or False: In a one-way ANOVA with 30 participants, and the factor has 4 levels, the between subjects degree of freedom is 25.

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a) True

b) False

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Title: Chapter 11 Question 11

11. True or False: In a 3 x 5 ANOVA with 60 participants, the total degrees of freedom is 59

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a) True

b) False

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Title: Chapter 11 Question 12

12. True or False: ANOVA was designed to analyze mean differences when there are two or more groups

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a) True

b) False

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Title: Chapter 11 Question 13

13. True or False: MS_w is the quotient or ratio of SS_w and df_w

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a) True

b) False

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Title: Chapter 11 Question 14

14. True or False: The F-statistic is calculated by taking the difference between MS_b and MS_w

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a) True

b) False

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Title: Chapter 11 Question 15

15. True or False: A factorial model ANOVA has more than 1 factor

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a) True

b) False

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Title: Chapter 11 Question 16

16. True or False: In a two-way ANOVA, you can test two main effects

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a) True

b) False

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Title: Chapter 11 Question 17

17. True or False: To obtain the degrees of freedom for the interaction in a two-way ANOVA, you multiply the number of levels in each factor

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a) True

b) False

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Title: Chapter 11 Question 18

18. True or false: Statistical significance is in part due to the size of the sample

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a) True

b) False

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Title: Chapter 11 Question 19

19. True or False: The Tukey HSD allows you to determine which means differ in a one-way ANOVA with more than 2 levels

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a) True

b) False

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Title: Chapter 11 Question 20

20. True or False: An ANOVA assumes independence of observations

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a) True

b) False

Type: multiple choice question

Title: Chapter 11 Question 01

1. A 3 x 2 ANOVA is a ___-way ANOVA, with ___ conditions?

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a. One; 6

b. Two; 5

c. Three; 6

d. Two; 6

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Title: Chapter 11 Question 02

2. A one-way ANOVA makes several assumptions. Which of the following is not an assumption?

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a. Independent observations

b. Normal distribution in the data

c. The null hypothesis is the true state of the world

d. Each condition has the same number of observations

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Title: Chapter 11 Question 03

3. In general, ANOVA tests for…

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a. differences between means.

b. differences between dependent variables.

c. differences between means in only 3 or more groups.

d. Differences between medians between 2 or more groups.

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Title: Chapter 11 Question 04

4. If there are two factors, one with 3 levels and the other with 2,, which is the most appropriate test to analyze data obtained from this design (assuming interval or ratio scale)?

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a. 3 x 2 ANOVA

b. 2 x 2 ANOVA

c. One-way ANOVA

d. dependent samples t-tests

Type: multiple choice question

Title: Chapter 11 Question 05

5. Which of the following is always true of a two-way ANOVA?

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a. There are four levels in total.

b. There are two interaction effects.

c. There are two outcome variables

d. There are two factors.

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Title: Chapter 11 Question 06

6. When conducting a one-way ANOVA with 30 participants and the factor has 4 levels, the degrees of freedom between is ____.

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a. 3

b. 25

c. 26

d. 4

Type: multiple choice question

Title: Chapter 11 Question 07

7.

Based on this data, it can be assumed that this was a …

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a. one-way ANOVA.

b. 2 x 2 ANOVA.

c. 1 x 2 ANOVA.

d. Independent samples t-test.

Type: multiple choice question

Title: Chapter 11 Question 08

8.

How many levels are there for the independent variable?

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a. 2

b. 3

c. 4

d. 5

Type: multiple choice question

Title: Chapter 11 Question 09

9.

How many participants were in this ANOVA?

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a. 49

b. 55

c. 45

d. 50

Type: multiple choice question

Title: Chapter 11 Question 10

10.

What is the F-ratio?

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a. .12

b. 1.22

c. 1.36

d. 49.78

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Title: Chapter 11 Question 11

11.

What is the critical value, assuming alpha = .05?

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a. 2.61

b. 2.56

c. 2.45

d. There is insufficient information based on the source table.

Type: multiple choice question

Title: Chapter 11 Question 12

12.

Which of the following is FALSE regarding post-hoc tests?

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a. They should not be run if the omnibus ANOVA is not statistically significant

b. Tukey HSD test is a post-hoc test for multiple comparisons.

c. Post-hoc tests are generally done before ANOVAs are done.

d. None of the above are false.

Type: multiple choice question

Title: Chapter 11 Question 13

13.

Which of the following is the correct formula to obtain mean squares within?

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a. Sums of squares between divided by degrees of freedom between.

b. Sums of squares within divided by degrees of freedom within.

c. Sums of squares within multiply degrees of freedom within.

d. Sums of squares within subtract degrees of freedom within.

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Title: Chapter 11 Question 14

14.

How are ANOVA and t-tests similar? How are they different?

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a. ANOVA allow for only comparisons between two means, whereas t-tests allow for comparisons for 2 or more means. They are similar in that both types of procedures tell us about differences between means.

b. t-tests allow for only comparisons between two means, whereas ANOVA allow for comparisons between two or more means. They are similar in that both types of procedures tell us about differences between means.

c. t-tests and ANOVAs both test for differences. However, t-tests test for differences between medians, but ANOVAs test for differences between Means

d. t-tests are ANOVAs are exactly the same. The only difference is that ANOVAs are used for samples and t-tests are used for populations.

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Title: Chapter 11 Question 15

15.

Which of the following best describes the F-ratio?

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a. It is the ratio of MS_b to MS_w, and the smaller the F-value, the greater chance of it being statistically significant.

b. It is the ratio of SS_b to SS_w.

c. It is the ratio of MS_b to MS_w

d. The F-value is a ratio. Smaller F-values are associated with larger sample sizes.

Type: multiple choice question

Title: Chapter 11 Question 16

16. In a two-way ANOVA, how many effects are there to test?

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a. One main effect and two interactions.

b. Two interactions and two main effects.

c. Two main effects and one interaction.

d. One interaction and one main effect.

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Title: Chapter 11 Question 17

17. How many conditions are in a 3 x 3 factorial model?

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a. 6

b. 5

c. 8

d. 9

Type: multiple choice question

Title: Chapter 11 Question 18

18. Which of the following pieces of information is necessary to determine critical value of the Tukey HSD in a one-way ANOVA?

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a. df_b, the F-value, and the alpha level.

b. F-value, df_w, and the alpha level

c. Number of levels and df_b, and the alpha level

d. Number of levels, df_w, and the alpha level.

Type: multiple choice question

Title: Chapter 11 Question 19

19.

There were ________ participants and the interaction has ____ degree(s) of freedom.

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a. 30; 2

b. 30; 1

c. 30; 3

d. 40; 2

Type: multiple choice question

Title: Chapter 11 Question 20

20.

This ANOVA is best characterized as a…

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a. 2 x 3 ANOVA

b. One-way ANOVA

c. 2 x 2 ANOVA

d. 2 x 1 ANOVA

Type: multiple choice question

Title: Chapter 11 Question 21

21.

This ANOVA has how many possible main effect and interactions to test for?

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a. 2

b. 3

c. 4

d. Insufficient information

Type: multiple choice question

Title: Chapter 11 Question 22

22. A Tukey HSD value tells you which of the following?

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a. The size of a mean difference necessary to be significant

b. The probability of a mean difference to exist

c. The size of a mean difference necessary to be testable

d. The necessary sample size to detect an honestly significant difference (HSD)

Type: multiple choice question

Title: Chapter 11 Question 23

23. A 2 x 3 ANOVA has ____ factors, ___ possible interaction(s), and ___ total conditions

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a. 2; 2; 5

b. 2; 1; 6

c. 3; 1; 6

d. 2; 2; 6

Type: essay/short answer question

Title: Chapter 11 Question 01

1. A researcher is interested whether vitamin supplements help with preventing the cold. The placebo group drank fruit juice that actually had no vitamins at all. The researcher then measured the number of days each participant spent sick in a month.

Conduct a one-way ANOVA and determine if it is significant at the .05 level.

Type: essay/short answer question

Title: Chapter 11 Question 02

2. A researcher is interested whether vitamin supplements help with preventing the cold. The placebo group drank fruit juice that actually had no vitamins at all. The researcher then measured the number of days each participant spent sick in a month.

Is a post-hoc test necessary? If so, conduct a Tukey HSD at the .05 level. The critical value is 3.514

Type: essay/short answer question

Title: Chapter 11 Question 03

3. Identify 2 assumptions of the one-way ANOVA and explain what it means.

Type: essay/short answer question

Title: Chapter 11 Question 04

4. A researcher examining factors that influence sleep quality tested the effects of two variables. Her first factor has 2 levels and the second factor has 3 levels. She recruited 30 participants. Use the following source table to answer the next few questions.

There are how many degrees of freedom for each source of variability?.

Type: essay/short answer question

Title: Chapter 11 Question 05

5. A researcher examining factors that influence sleep quality tested the effects of two variables. Her first factor has 2 levels and the second factor has 3 levels. She recruited 30 participants. Use the following source table to answer the next few questions.

What is the critical value for each F ratio at the .05 significance level, and what is the observed F? Are any of the effect significant?

Type: essay/short answer question

Title: Chapter 11 Question 06

6. Use the following source table to answer the questions below.

How many effects can one test?

Type: essay/short answer question

Title: Chapter 11 Question 07

7. Use the following source table to answer the questions below.

This is a ___ x ___ ANOVA. (fill in the blanks)

Type: essay/short answer question

Title: Chapter 11 Question 08

8. Use the following source table to answer the questions below.

Determine if the effects are significant at the .05 level.

Type: essay/short answer question

Title: Chapter 11 Question 09

9. Why are post-hoc tests important with regards to making multiple comparisons?