Chapter 15 Quiz Review

In a graph showing the means from a two-factor experiment, parallel lines indicate that there is no interaction.

• True

• False

Answer explanation

True. Recall that an interaction exists when lines cross or converge between the two factors.

Tags

CCSS.HSS.ID.B.6B

Which of the following is NOT one of the three hypothesis tests?

• Main Effect for Factor A

• Main Effect for Factor B

• Main Effect for AxB

• All of the Above

It is impossible to have an interaction unless you also have main effects for at least one of the two factors.

• True

• False

Answer explanation

False. The existence of main effects and interactions is completely independent.

Tags

CCSS.HSS.ID.B.6B

Using the graph, which of the following must be true?

• There is a Main Effect for Factor A only

• There is an Interaction between Factor A and Factor B

• There is a Main Effect between Factor A and Factor B

• There are two Interactions and 2 Main Effects

Which statement is true regarding main effects?

• There is a Main Effect for Factor A only

• There is a Main Effect for Factor B only

• There is a Main Effect for both Factor A and Factor B

• There is no Main Effect for either factors

Answer explanation

After taking the Mean from row 1, we get A₁ = (10 + 20)/2 = 15. Now we must compare this mean to row 2's mean: (30 + 40)/2 = 35. Since there is a 20-point difference, we can see that there is a Main Effect for Factor A. Repeat again doing the columns for factor B: B₁ = (10 + 30)/2 = 20. B₂ = (20 + 40)/2 = 30. Since there is a 10-point difference between the two means, there's also a Main Effect for Factor B.

Tags

CCSS.HSS.ID.B.6B

How many f-ratios do we solve for in a 2-factor ANOVA?

• 2

• 1

• 3

• 4

Answer explanation

We solve for F_A, F_B, and F_AxB. These are all three values.

The effect size for a two-factor ANOVA is measured by what symbol?

• η2 (eta squared)

• Θ (eta squared)

• Σ (eta squared)

• Δ (eta squared)

In a two-factor analysis of variance, a main effect is defined as ____.

• The mean differences among the levels of one factor,

• The mean sum among the levels of one factor.

• The mean product among the levels of one factor.

• None of the above.

Tags

CCSS.8.SP.A.4

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 ____.

• There is a significant effect for Factor A and B.

• There is a significant effect for Factor B only.

• This data will lead to an interaction if continued.

• There is no way to infer significance or interaction.

Tags

CCSS.HSS.ID.B.6B

Why is MS_{Within Treatments} our denominator for all F-ratio values?

• It measures variability not from the treatment effect.

• It measures how much error is acquired from treatment effect.

• It measures the sampling error within the experiment.

• None of the above.

Tags

CCSS.HSS.ID.B.6A