The following is a summary of a oneway betweensubjects ANOVA

The following is a summary of a one-way between-subjects ANOVA: F(2, 37) = 3.42, p < .05, ² = .12. How many participants were observed in this study?

12

37

40

39

A researcher assigned participants (n = 8 per group) to read vignettes describing a person engaging in either a helpful, hurtful, or neutral act. Different participants were assigned to each group and asked to rate how positively they viewed the person described in the vignette. What is the critical value for the one-way between-subjects ANOVA at a .05 level of significance?

3.07

3.44

3.47

4.32

A researcher divides participants into groups that will engage in low, moderate, or intense levels of exercise. The total calories consumed by participants following the exercise are then recorded. What type of statistical design is appropriate for this study?

a related samples t test

a two-independent sample t test

a one-way between-subjects ANOVA

both B and C

Computing a one-way between-subjects ANOVA is appropriate when

different participants are observed one time in each of two or more groups for one factor

the same participants are observed in each of two or more groups for one factor

the levels of one or more factors are manipulated

all of the above

How does omega-squared for the one-way between-subjects ANOVA correct for the fact that eta-squared tends to be a biased estimate of effect size?

It corrects for the size of error by including MS_E in the formula.

It includes the degrees of freedom between groups (df_BG ) in the formula.

It accounts for the number of groups that were observed.

all of the above

A researcher computes the following one-way between-subjects ANOVA table for a study where k = 3 and n = 12. State the decision at a .05 level of significance. (Hint: Complete the table first.)

Source of Variation

SS

df

MS

F

Between groups

120

Within groups (error)

Total

780

Reject the null hypothesis.

Retain the null hypothesis.

There is not enough information to answer this question.

What is the minimum number of groups that can be observed using the one-way between-subjects ANOVA design?

1

2

3

4

Homogeneity of variance is an assumption for the one-way between-subjects ANOVA. What does this assumption mean?

that the population being sampled from is normally distributed

that participants are randomly selected to participate in a sample

that the variance is equal in each population from which samples are selected

that one observation has no effect on the likelihood of another observation

A researcher computes a one-way within-subjects ANOVA in which k = 4 and n = 20. What are the degrees of freedom error for this test?

57

79

80

There is not enough information to answer this question.

		12
		37
		40
		39

Solution

How many participants were observed in this study? from the F(2,37) we get that n=37+2+1=40

What is the critical value for the one-way between-subjects ANOVA at a .05 level of significance? here F(2,22)=3.47.

What type of statistical design is appropriate for this study? a one-way between-subjects ANOVA

Computing a one-way between-subjects ANOVA is appropriate when? different participants are observed one time in each of two or more groups for one factor