Deck 14: Glm 3: Factorial Designs

Question 1

Suppose you were researching the effects of psychological skills training (PST), such as goal setting and imagery, on golf-putting performance (scored out of 10). Twenty-eight participants (14 male and 14 female) were recruited for the study. Seven male and seven female participants were randomly allocated to each of the two conditions. How would you describe this research design?

A) Two-way independent ANOVA
B) One-way repeated-measures ANOVA
C) Three-way mixed model ANOVA
D) None of the above are appropriate

Answer 1

Two-way independent ANOVA

Question 2

Calculate the mean and standard deviation for each group from the data below. ANSWERS
If the equation for the above study was: score = (b₀ + b₁PST_i + b₂gender_i + b₃interaction_i)+E_i, how would you express the interaction effect between the PST and the gender?

A) PST × gender
B) PST + gender
C) PST / gender
D) PST - gender

Answer 2

PST × gender

Question 3

How many independent variables are being measured?

A) 2
B) 3
C) 4
D) 5

Answer 3

2

Question 4

How might you calculate the mean sum of squares (SS_M)?

A) Sum of squares for gender + PST + gender × PST = SS_M
B) Sum of squares for gender + PST = SS_M
C) Sum of squares for error + intercept = SS_M
D) Sum of squares for error + gender = SS_M

Question 5

How many within-group effects are present?

A) 0
B) 1
C) 2
D) 3

Question 6

Which of the following is not a factorial ANOVA design?

A) Summated-groups design
B) Independent-groups design
C) Repeated-measures design
D) Mixed model design

Question 7

How would you define a factorial analysis of variance?

A) An experiment with two or more independent variables
B) An experiment with two or more dependent variables
C) An experiment with two or more independent and dependent variables
D) An experiment with one independent and dependent variable

Question 8

How might you wish to present the data graphically?

A) Box-whisker plot
B) Bar chart
C) Histogram
D) All of the above

Question 9

How many levels are present for each variable?

A) 2
B) 3
C) 4
D) 5

Question 10

How many interaction effects would need to be analysed in this example?

A) 1
B) 2
C) 3
D) 4

Question 11

What does residual sum of squares (SS_R) represent?

A) Individual differences in performance or the variance that can't be explained by factors that were systematically manipulated
B) Group differences in performance or the variance that can be explained by factors that were systematically manipulated
C) Interactive differences in performance or the variance that can't be explained by factors that were systematically manipulated
D) Cumulative differences in performance or the variance that can be explained by factors that were systematically manipulated

Question 12

Which of the following equations is correct for calculating a variable's mean squared value?

A) SS_A / df_A = MS_A
B) SS_A × df_A = MS_A
C) SS_A + df_A = MS_A
D) SS_A - df_A = MS_A

Question 13

Suppose the research design was developed further by examining the effects of different types of goal setting (outcome, process and performance) on tennis serve accuracy in male and female novice and expert tennis players. Thirty expert tennis players were allocated to one of the three goal-setting groups, as were the novice players. How would you describe this ANOVA?

A) Two-way ANOVA
B) Three-way ANOVA
C) Five-way ANOVA
D) Three-way mixed model ANOVA

Question 14

How is SS_R represented in a 'between-subject effects' table?

A) Error
B) Corrected model
C) Corrected total
D) Intercept

Question 15

What else is an independent groups design referred to as?

A) Between groups
B) Within groups
C) Between-within groups
D) None of the above are appropriate

Question 16

How many independent variables are being analysed in this example?

A) 2
B) 3
C) 4
D) 5

Question 17

Based on the table above, how was the F-score for gender calculated (assuming gender is coded as A)?

A) MS_A / MS_R
B) MS_A × MS_R
C) MS_R / MS_A
D) MS_A / MS_B

Question 18

Calculate the total sum of squares (SS_T) if the grand variance (s²) = 3.86 and the degrees of freedom (df) = 27

A) 104.2
B) 0.14
C) 30.9
D) 23.1