Statistics Quiz # 14

Which of the following is one of the assumptions we make when we do a one-way, between-subjects ANOVA?

Each condition contains the same number of scores.

The populations represented have significantly different variances.

All conditions of the single-independent variable contain independent samples.

The means of the populations represented are homogeneous.

If a randomized ANOVA produced MSbetween = 20 and MSwithin = 5, then the F-ratio would be _____.

20/5 = 4.00

5/20 = 0.025

20/25 = 0.80

25/5 = 5.00

Differences in scores produced by the independent variable corresponds with which of the following ANOVA terms?

Treatment effect

Mean square

Factor

Level

The independent variable matches which of the following ANOVA terms?

Treatment effect

Mean square

Factor

Level

An educational psychologist is interested in determining whether attitudes toward school change with age. She randomly selects 30 seventh-graders, 30 ninth-graders, and 30 eleventh-graders and administers a “Do you like school?” test. How many factors does this experiment have?

3

30

90

1

The variability within groups is due to ______.

Chance

The grouping factor

The F ratio

The level of the dependent variable

Which of the following is the desired outcome of an ANOVA?

Our group variances are significantly different.

Our group variances are approximately equal.

Our group means are significantly different.

Our means are approximately equal.

ANOVA is like an extension of the _____.

T-test

F-test

Correlation

Regression

When interpreting F (2, 20) = 3.49, p < 0.05, what is the within groups df?

23

20

4

2

When interpreting F (2, 20) = 3.49, p < 0.05, what is the between groups df?

23

20

4

2

ANOVA uses the _____.

F-test

T-test

P-test

R-test

The variability between groups is due to ______.

Chance

The grouping factor

The F ratio

The level of the dependent variable

The term “condition” matches which of the following ANOVA terms?

Treatment effect

Mean square

Factor

Level

Which of the following is the formula for computing the F statistic?

F = MSbetween/MSwithin

F = SSbetween/SSwithin

F = MSwithin/MSbetween

F = SSwithin/SSbetween

When an experiment design has two factors but one factor involves related samples while the other factor involves independent samples, we should perform a ______.

Two-way within-subjects ANOVA

Two-way between-subjects ANOVA

Two-way mixed-design ANOVA

Two-way independent-related samples ANOVA

In a two-way ANOVA, the interaction effect is the ______.

Effect of changing the levels of one factor on the dependent scores

Effect of changing the levels of one factor on the dependent scores, ignoring all other factors in the study

Extent to which the influence one factor has on scores depends on the level of the other factor

Effect on the independent variables of changing the levels of a factor

A two-way ANOVA means that the experimental design includes ______.

Two independent variables

Two dependent variables

Two types of variance

All of these

How many conditions would there be in a factorial design with 2 levels of factor A and three levels of factor B?

2

3

5

6

A significant interaction effect indicates that ______.

The influence of one factor is not the same for each level of the other factor

The influence of one factor is the same for each level of the other factor

The relationship between one factor and the dependent variable differs from the relationship between the other factor and the dependent variable

The dependent variable differs depending on the level of a factor

A factorial design involves ______.

Measuring more than one dependent factor (variables)

Manipulating more than one independent factor (variable)

Measuring more than one dependent factor (variables) and manipulating more than one independent factor (variable)

None of these

A two-way ANOVA contains ______.

A main effect for each factor

A main effect for each factor and an interaction

An interaction for each factor and a main effect

An interaction for each factor

How many participants would be required for a completely randomized 4 × 5 between-subjects design with three observations per cell?

18

27

20

60

A(an) ______ is when an analysis of the data reveals a difference between the levels of any factor.

Source table

Interaction

Main effect

ANOVA

In a two-way ANOVA, an F involving a comparison among the level means of a factor is referred to as a test for the significance of ______.

A main effect

A factorial design

The interaction effect

A level effect

In a 2 × 2 design with 40 participants equally distributed across the conditions, what are ______ and ______.

= 1; = 10

= 2; = 10

= 1; = 40

= 2; = 20

Two variables interact when ______.

The effect of one independent variable depends on the level of the other independent variable

Both variables are affected equally by some third factor

There are no main effects

There are main effects

Researchers often use factorial designs because ______.

They allow us to see the interaction of factors

They more closely approximate the real world

Both allow us to see the interaction of factors and more closely approximate the real world

None of these.

A main effect indicates ______.

The mean differences among the levels of one variable

The mean differences among the levels of all variables

The mean difference between the two variables

None of these

If after calculating a correlated-groups t test you find that it is equal to zero, then ______.

The two means differ significantly

The two means do not differ significantly

You have done something wrong

The two population means differ significantly

What is the name of the Greek letter ρ?

Phi

Rho

Chi

Alpha