Chapter 14- Factorial ANOVA

1. In a two-factor analysis of variance a main effect is defined as _____.
a. the mean differences among the levels of one factor
b. the mean differences among all treatment conditions
c. the mean difference between the two factors
d. the difference between the largest treatment mean and the smallest treatment mean

a. the mean differences among the levels of one factor

2.The results from a two-factor analysis of variance show a significant main effect for factor A and a significant main effect for factor B. Based on this information, you can conclude that
a. there must by a significant interaction.
b. there probably is a significant interaction.
c. the interaction cannot be significant.
d. you cannot make any conclusion about the significance of the interaction.

d. you cannot make any conclusion about the significance of the interaction.

3. A two-factor experimental study, means that the study has _____.
a. two independent variables
b. two dependent variables
c. exactly two groups of participants
d. an interaction between two variables

a. two independent variables

4. For an experiment involving 2 levels of factor A and 3 levels of factor B, with a sample of n = 10 in each treatment condition, what are the df values for the F-ratio for the AxB interaction?
a. 1, 54
b. 2, 54
c. 6, 54
d. 5, 54

b. 2, 54

5. The results of a two-factor analysis of variance produce df = 1, 30 for the F-ratio for factor A and df = 2, 30 for the F-ratio for factor B. What are the df values for the AxB interaction?
a. 1, 30
b. 2, 30
c. 3, 30
d. 2, 60

b. 2, 30

6. The analysis of variance for a two-factor experiment produces _____.
a. one overall F-ratio followed by a series of required post tests
b. two separate F-ratios
c. three separate F-ratios
d. four separate F-ratios

c. three separate F-ratios

7. In a two-factor analysis of variance, the F-ratios for factor A, factor B, and the AxB interaction _____.
a. may have different df values but they all have the same denominator
b. all have the same df values and they all have the same denominator
c. may have different df values and may have different denominators
d. all have the same df values but they may have different denominators

a. may have different df values but they all have the same denominator

8. If the results of a two-factor experiment are presented in a line graph, then an interaction can be seen whenever _____.
a. the lines in the graph are not straight (bent)
b. there is a space separating the lines
c. the lines are parallel
d. the lines move toward each other or cross

d. the lines move toward each other or cross

9. A two factor analysis of variance produces SS within = 200, SSA = 20, SSB = 40 and SSAxB = 90. For this analysis, what is the value for Ssbetween?
a. 30
b. 60
c. 150
d. 350
e. Cannot say without additional information

c. 150

10. A test of "simple effects" must be conducted
a. If you have a significant interaction.
b. For any 2-way ANOVA
c. If you have a significant interaction but no significant main effects.
d. If you have one significant main effect and the pattern of means suggests an interaction.
e. When you fail to find and significant effects using the initial F tests.

a. If you have a significant interaction.

11. A study of chocolate enjoyment includes 2 factors: Sex (male, female) and chocolate type (Milk, Dark). Which of the following comparisons would be included as part of testing the simple effects of Chocolate?
a. For milk chocolate: M vs. F
b. For chocolate in general: M vs. F
c. For females: Milk vs. Dark
d. All of these examine the simple effects of chocolate.

c. For females: Milk vs. Dark

1. Which of the following is a justified conclusion if a correlation is positive? a. Increases in X tend to be accompanied by increases in Y.
b. Increases in X tend to be accompanied by decreases in Y.
c. Increases in X are always accompanied by increases in Y.
d. Increases in X are always accompanied by decreases in Y.

a

Which of the following correlations indicates the least consistent relationship between X and Y

a. 0.80
b. 0.40
c. - .10
d. -.90

c

What is the value of SP for a set of n = 5 pairs of X and Y values with sumX = 10, sumY = 20, and sumXY = 60?

a. -20
b. -28
c. 20
d. 60

c

A set of n = 15 pairs of X and Y values has a Pearson correlation of r = 0.40. If 2 points were added to each of the X values, then what is the correlation for the resulting data?
a = .4
b. -.40
c. 0.60
d. -.60

a

A researcher obtains a strong positive correlation between aggressive behavior for six-year-old children and the amount of violence they watch on tele-
vision. Based on this correlation, which of the following conclusions is justified?
a. Decreasing the amount of violence that the children see on TV will reduce their aggressive behavior.
b. Increasing the amount of violence that the children see on TV will increase their aggressive behavior.
c. Children who watch more TV violence tend to exhibit more aggressive behavior.
d. All of the above

c