Deck 13: Two Groups Too Many? Try Analysis of Variance

Question 1

When interpreting F??, ??? = 8.80, p < .05, what is the within-groups df?

A) 30
B) 27
C) 3
D) 2

Answer 1

B

Question 2

When interpreting F??, ??? = 8.80, p < .05, what is the total sample size examined?

A) 30
B) 29
C) 3
D) 2

Answer 2

A

Question 3

If you wanted to examine whether the level of parental involvement differs based on students' grade in school (i.e., 1st, 2nd, 3rd, etc.), what is the dependent variable of interest?

A) Grade level
B) Students
C) Parents
D) Level of parent involvement

Answer 3

D

Question 4

When your research question calls for you to examine the differences in group means among three or more groups, which of the following would be the appropriate procedure?

A) Pearson correlation
B) t test for dependent samples
C) t test for independent samples
D) Analysis of variance

Question 5

Which of the following would be an example of a design that examines the effects of gender and socioeconomic status (i.e., high, medium, and low) on a test of student achievement?

A) Simple ANOVA
B) One-way ANOVA
C) 2 × 3 ANOVA
D) 3 × 3 ANOVA

Question 6

When interpreting F??, ??? = 8.80, p < .05, how many groups were examined?

A) 30
B) 27
C) 3
D) 2

Question 7

What is the variability between groups due to?

A) Chance
B) The grouping factor
C) The F ratio
D) The levels of the dependent variable

Question 8

What is the first step in the computation of the F statistic?

A) Setting the level of risk
B) Selection of the appropriate test
C) Computing the obtained value
D) Stating the null and research hypotheses

Question 9

When interpreting F??, ??? = 8.80, p < .05, what is the between-groups df?

A) 30
B) 27
C) 3
D) 2

Question 10

Who is responsible for the invention of the F statistic?

A) Pearson Fisher
B) Karl Pearson
C) R. A. Fisher
D) R. A. Pearson

Question 11

What is the variability within groups due to?

A) Chance
B) The grouping factor
C) The F ratio
D) The levels of the dependent variable

Question 12

Which of the following is the same as t² when examining the difference between two groups?

A) F
B) t
C) Cohen's d
D) F²

Question 13

When you compute the sum of the differences between each individual score and the group mean, you have calculated which of the following:

A) MS within
B) SS within
C) SS between
D) MS between

Question 14

In order to increase the F value, which of the following must occur?

A) MS within > MS between
B) MS within = MS within
C) MS between > MS within
D) Ratio = 1

Question 15

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

A) F = MS between/MS within
B) F = SS between/SS within
C) F = SS within/SS between
D) F = MS within/MS between

Question 16

When computing the degrees of freedom for ANOVA, how is the within-group estimate calculated?

A) n - 1
B) k - 1
C) N - k
D) n/k

Question 17

If you wanted to examine whether the level of parental involvement differs based on students' grade in school (i.e., 1st, 2nd, 3rd, etc.), what is the independent variable of interest?

A) Grade level
B) Students
C) Parents
D) Level of parent involvement

Question 18

Computing the between-group variance first calls for summing the difference between the grand mean and the group means. What is this known as?

A) MS within
B) SS within
C) SS between
D) MS between

Question 19

When computing the degrees of freedom for ANOVA, how is the between-group estimate calculated?

A) n - 1
B) k - 1
C) N - k
D) n/k

Question 20

What type of ANOVA is used when there is only one type of treatment or grouping factor with more than two levels?

A) One-way
B) Two-way
C) Three-way
D) Four-way

Question 21

When is analysis of variance the appropriate statistical procedure to use?

Question 22

What is the MS within value?

Question 23

What is the formula for computing the F statistic?

Question 24

If the total sample size was 50 and three groups were examined, what is the within-groups degrees of freedom?

Question 25

What is the sum of squares total?

Question 26

What is the F value?

Question 27

How are the F statistic and t statistic related?

Question 28

What are the three different ANOVA options within the Analysis Toolpak?

Question 29

If the total sample size was 50 and three groups were examined, what is the between-groups degrees of freedom?

Question 30

What is the MS between value?