# Obtaining a significant interaction means that both factors a and b

22. A repeated-measures study uses a sample of n = 20 participants to evaluate the mean differences among three treatment conditions. In the analysis of variance for this study, what is the value for dfBetweenTreatments?

a. 2

b. 19

c. 57

d. 59

23. A repeated- measures ANOVA with n = 5 subjects has within-treatment df = 12. What is the value of error df for this analysis?

a. 8

b. 16

c. 48

d. Insufficient information to find error df

24. For the repeated-measures ANOVA, SSerror is found by:

a. SStotal – Ssbetween treatments

b. SSbetween treatments – Sswithin treatments

c. SSbetween treatments – Ssbetween subjects

d. SSwithin treatments – Ssbetween subjects

25. A repeated-measures analysis of variance produces SSwithin treatments = 24 and SSbetween treatments = 40. For this analysis, what is the value of SSerror?

a. 16

b. 24

c. 64

d. Cannot be determined without additional information

26. Which of the following are sources of variability that contribute to SSbetween treatments in a repeated ANOVA?

a. Treatment effect and random unsystematic differences

b. Treatment effect and individual differences

c. Treatment effect, individual differences, and random unsystematic differences

d. Individual differences and random unsystematic differences

27. For a repeated-measures study, dfBetween treatments = 3 and dfTotal = 27. This means 28 people participated in the study with 7 different people in each group.

a. True

b. False

28. For the repeated ANOVA, SSwithin treatments = SSbetween subjects + SSerror.

a. True

b. False

29. Based on the results of a repeated-measures ANOVA, a researcher reports F (4, 20) = 11.57, p < .01. For this ANOVA, the null hypothesis was rejected.

a. True

b. False

30. For a repeated-measures research study comparing 2 treatment conditions with a sample of n = 8 subjects, the F-ratio would have df = 1, 7.

a. True

b. False

31. A two-factor study with two levels of factor A and three levels of factor B uses a separate group of n = 5 participants in each treatment condition. How many participants are needed for the entire study?

a. 5

b. 10

c. 25

d. 30

32. A two-factor, independent-measures research study with 2 levels of factor A and 2 levels of factor B would require 2 separate samples.

a. True

b. False

33. A two-factor analysis of variance involves three separate F-ratios.

a. True

b. False

34. For an independent measures two-factor experiment, the smaller the values of the sample variances, the more likely it is that at least one of the F-ratios will be significant.

a. True

b. False

35. IN a two-factor analysis of variance with two levels of factor A and two levels of factor B, what is the relationship among the three F-ratios (A, B and the AxB interaction)?

a. All three F-ratios will have the same values for df.

b. The F-ratios for A and B will have the same values for df, but the interaction may have a different df value.

c. The F-ratios for A and B will have the same df values but the interaction is guaranteed to have different values for df.

d. None of the other 3 choices are correct.

36. 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 be 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

37. In a line graph showing the results from a two-factor experiment, the levels of factor B are presented on the X-axis and, although the line for A1 is crooked, the points on the line are consistently 5 points higher than the line for A2. What result is indicated by this pattern?

a. No indication of an interaction

b. An indication of an overall Factor A effect

c. An indication of a Factor A effect but no indication of an interaction

d. An indication of an interaction but no indication of a Factor A effect

38. Obtaining a significant interaction means that both factors A and B have significant main effects.

a. True

b. False

39. Whenever a two-factor experiment results in a significant interaction, you should be cautious about interpreting the main effects because an interaction can distort, conceal, or exaggerate the main effects of the individual factors.

a. True

b. False

40. A two-factor analysis of variance with 2 levels of Factor A and 3 levels of Factor B involves 6 separate hypothesis tests.

a. True

b. False

41. A two factor analysis of variance produces SSa = 20, SSb = 40 and SSaxb = 90. For this analysis, what is the value for SSbetween treatments?

a. 30

b. 60

c. 150

d. Cannot be determined without additional information

42. In a two-factor ANOVA, which of the following is not computed directly but rather is found by subtraction?

a. SSbetween treatments

b. SSa

c. SSb

d. SSaxb