# Set of ANOVA Questions

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Question 1

A researcher sets alpha to be .05 and generates a one-way ANOVA. She finds that a p value of .08 for the overall omnibus F test. This indicates a statistically significant post hoc comparison.

a. True

b. False

Question 2

Dedra conducted an experiment to determine if performance in statistics changes as a result of course delivery method (face-to-face, mixed mode, totally online). Before conducting the experiment, she determines that she will compare performance of the face-to-face class to the mixed mode class and performance of the face-to-face class to the totally online class. Based on this information, what do you recommend to Dedra?

a. Conduct a planned comparison

b. Conduct a post hoc comparison

c. Perform a repeated measures ANOVA

d. Review the omnibus F test to determine how to proceed

Question 3

In reviewing a profile plot generated after running a factorial ANOVA, Lilo notices that the lines of one factor are intersecting with the lines of another factor. What should she conclude?

a. There is a statistically significant interaction effect.

b. There is a non-statistically significant interaction effect.

c. There is a statistically significant main effect.

d. Nothing can be concluded merely from reviewing the profile plots.

Question 4

Oscar wants to know if there is a difference, on average, between socioeconomic (SES) status (low, medium high) and time to degree (measured in months) for community college students. He theorizes that lower SES students will take longer to complete their degree. What statistical procedure would you recommend he use to analyze his data?

a. one-way ANOVA

b. two-way ANOVA

c. three-way ANOVA

d. one-within (repeated measures) ANOVA

e. one-within and one-between ANOVA

f. none of the above

Question 5

Mark, a doctoral student in the College of Education, hears that you recently completed EDF 7403 and comes to you seeking statistical advice. He has collected the following data on the books assigned to students to read in an undergraduate English class: 1) number of words in the book (ratio level variable); 2) genre (fiction or nonfiction); 3) gender of author (male or female); and 4) whether pictures or illustrations are used in the book (yes or no). Mark tells you that he is interested in determining if there is a mean difference in number of words in the book based on gender, author's gender, and use of pictures. He believes in particular that fiction books written by women who use pictures or illustrations will have the fewest words per chapter, on average. What test do you recommend he use?

a. one-way ANOVA

b. two-way ANOVA

c. three-way ANOVA

d. one-within (repeated measures) ANOVA

e. one-within and one-between ANOVA

f. none of the above

Question 6

JoAnn is interested in long term physical activity of young adults who exercise, specifically whether the average time they exercise each week changes as they grow older. She randomly samples a group of 500 members of a local gym who are between the ages of 18 and 25. Twice each year for ten years she collects self-report data on the average number of minutes they exercise in a given week. What statistical procedure would you recommend her to use to analyze the data?

a. one-way ANOVA

b. two-way ANOVA

c. three-way ANOVA

d. one-within (repeated measures) ANOVA

e. one-within and one-between ANOVA

f. none of the above

Question 7

Disney Elementary School has collected data on third grade student attitudes towards reading at four points over the course of the academic year. They are interested to know whether attitude toward reading changes over the year as a function of gender. The data they have collected on a random sample of 300 third grade students includes: 1) attitudes toward reading (an interval level variable) and 2) gender (male or female). What statistical procedure would you recommend to analyze the data?

b. two-way ANOVA

c. three-way ANOVA

d. one-within (repeated measures) ANOVA

e. one-within and one-between ANOVA

f. none of the above

Question 8

Administrators at Mayfield General Hospital want to know whether patient satisfaction of surgery patients differs, on average, based on the type of surgery performed. They have collected the following data on a random sample of 1,000 patients: 1) patient satisfaction (an interval level variable) and 2) type of surgery (three levels--in-patient short term, in-patient long term, or out-patient). What statistical procedure would you recommend to analyze the data?

b. two-way ANOVA

c. three-way ANOVA

d. one-within (repeated measures) ANOVA

e. one-within and one-between ANOVA

f. none of the above

Question 9

What statistical procedure would you recommend to analyze the data?

b. two-way ANOVA

c. three-way ANOVA

d. one-within (repeated measures) ANOVA

e. one-within and one-between ANOVA

f. none of the above

Question 10

A recent journal article you read reports the following: "A 2 x 3 ANOVA was used for testing the hypotheses." What does "2 x 3" indicate?

a. A one-factor ANOVA was conducted. The dependent variable had two levels and the independent variable had three levels.

b. A one-factor ANOVA was conducted. One dependent variable had three levels and the other dependent variable had two levels.

c. A one-factor ANOVA was conducted. One independent variable had three levels and the other independent variable had two levels.

d. A two-factor ANOVA was conducted. The dependent variable had three levels and the independent variable had two levels.

e. A two-factor ANOVA was conducted. One dependent variable had three levels and the other dependent variable had two levels.

f. A two-factor ANOVA was conducted. One independent variable had three levels and the other independent variable had two levels.

Question 11

What is one way to measure practical significance in one-way ANOVA?

a. alpha

b. effect size

c. orthogonal contrasts

d. p value

e. post hoc comparisons

Question 12

A one-way ANOVA was conducted and reported as follows: F(8,2968)=.793, p = .000. Based on this, how many levels did the independent variable have?

a. .000

b. .793

c. 8

d. 9

e. 2968

f. 2977

Question 13

A one-way ANOVA was conducted and reported as follows: F(8,2968)=.793, p = .000.Based on this, what is the total sample size for the study?

a. .000

b. .793

c. 8

d. 9

e. 2968

f. 2977

Question 14

In two-way ANOVA (with factors 'A' and 'B'), the most valid interpretation for a significant main effect for 'A' is when there is which of the following?

a. A significant main effect for B.

b. A non-significant main effect for B.

c. A significant interaction between A and B.

d. A non-significant interaction between A and B.

Question 15

Which of the following is a procedure for providing evidence of the normality of a distribution?

a. Reviewing results of partial eta squared

b. Reviewing profile plots

c. Reviewing results of Mauchly's sphericity test

d. Reviewing results of the Kolmogorov-Smirnov or Shapiro Wilks tests

e. Reviewing results of Levene's test

Question 16

Mark is analyzing data using two-way ANOVA. In reviewing the output, he sees that the p value for Levene's test is .026. How can he interpret this value?

a. The assumption of homogeneity of variances is met.

b. The assumption of homogeneity of variances is not met.

c. The results provide one form of evidence to suggest the assumption of normality is met.

d. The results provide one form of evidence to suggest the normality is notmet.

e. The overall omnibus F test is statistically significant.

f. The overall omnibus F test is not statistically significant.

Question 17

Aurora has collected data from the same group of six research participants at five different points in time--each time using the same instrument. Her significance level is .05. In testing assumptions, she finds the p value for Mauchly's test of sphericity is .09. Of the following options, what do you recommend for Azalea?

a. Proceed with running a one-way ANOVA for all possible pairs of measures

b. Proceed with running a two-way ANOVA for all possible pairs of measures

c. Proceed with interpreting the univariate results reporting results with degrees of freedom adjusted by epsilon

d. Proceed with interpreting the univariate results reporting results with sphericity assumed

Question 18

Belle wants to know if there is a mean difference in depression score [DEPRESSION] as a function of counseling intervention [INTERVENTION]. Using the midterm dataset located in WebCT, conduct the test with the appropriate statistical procedure. Is the assumption of homogeneity of variances met at alpha of .05?

a. Yes

b. No

c. This is not a valid assumption to test for this procedure.

Question 19

Belle wants to know if there is a mean difference in depression score [DEPRESSION] as a function of counseling intervention [INTERVENTION]. Using the midterm dataset located in WebCT, conduct the test with the appropriate statistical procedure. What does the omnibus F test indicate?

a. A non-statistically significant overall ANOVA at p = .138

b. A statistically significant overall ANOVA at p = .138

c. A statistically significant overall ANOVA at p = .000

d. A statistically significant interaction at p = .000

e. A non-statistically significant interaction at p = 2.254

Question 20

Belle wants to know if there is a mean difference in depression score [DEPRESSION] as a function of counseling intervention [INTERVENTION]. Using the midterm dataset located in WebCT, conduct the test with the appropriate statistical procedure. What does the partial eta squared value indicate?

a. a negligible effect

b. a moderate effect

c. a large effect

Question 21

Belle wants to know if there is a mean difference in depression score [DEPRESSION] as a function of counseling intervention [INTERVENTION]. Using the midterm dataset located in WebCT, conduct the test with the appropriate statistical procedure. Which of the following is a correct statement?

a. The assumption of independence is violated.

b. Skewness and kurtosis suggest that normality is not a reasonable assumption.

c. The results of Shapiro-Wilks suggest that normality is not a reasonable assumption.

d. None of the above.

Question 22

Use the Depression dataset (SPSS) to answer the following question. A researcher wants to know if there is a mean difference in depression score [DEPRESSION] as a function of counseling intervention [INTERVENTION] and tension [TENSION]. Conduct the test with the appropriate statistical procedure. Is the assumption of homogeneity of variances met at alpha of .05?

a. Yes

b. No

Question 23

Use the dataset (SPSS) to answer the following question. A researcher wants to know if there is a mean difference in depression score [DEPRESSION] as a function of counseling intervention [INTERVENTION] and tension [TENSION]. Conduct the test with the appropriate statistical procedure.

Which of the following is correct?

a. There is a non-statistically significant overall F test for the error.

b. There is a non-statistically significant overall F test for the main effect of tension.

c. There is a statistically significant overall F test for the interaction of intervention and tension.

d. There is a statistically significant overall F test for the main effect of intervention.

e. There is a statistically significant overall F test for the main effect of tension.

Question 24

Use the dataset (SPSS) to answer the following question. A researcher wants to know if there is a mean difference in depression score [DEPRESSION] as a function of counseling intervention [INTERVENTION] and tension [TENSION]. Conduct the test with the appropriate statistical procedure. What is the average amount of variation due to extraneous or unsystematic variation?

a. .131

b. 2.341

c. 6.859

d. 16.056

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This solution answers multiple ANOVA multiple choice questions.

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