Deck 15: Glm 4: Repeated-Measures Designs

Question 1

What would be the most appropriate equation to calculate the residual degrees of freedom (df_R)?

A) df_R = df_W / df_M
B) df_R = df_M / df_W
C) df_R = df_W / df_T
D) df_R = df_T / df_M

Answer 1

df_R = df_W / df_M

Question 2

Calculate the within sum of squares (SS_W).

A) 1,651,775
B) 651,775
C) 775
D) 75

Answer 2

1,651,775

Question 3

Calculate the mean sum of squares (SS_M).

A) 1,587,193
B) 587,193
C) 193
D) 93

Answer 3

1,587,193

Question 4

Examine the data below on footwear (barefoot, basic neutral shoe and complex (neutral) cushioned shoe) and the force in newtons (N) exerted when running over a force plate. By hand, calculate the total sum of squares (SS_T).

A) 7,549,528
B) 9,642,314
C) 3,579,512
D) 1,593,578

Question 5

Calculate the value for df_M in the present example.

A) 2
B) 3
C) 15
D) 16

Question 6

Which of the following statements is most accurate?

A) If the F-statistic is greater than the critical value (based on the information presented in Q19) then the p-value will be less than .05.
B) If the F-statistic is less than the critical value (based on the information presented in Q19) then the p-value will be greater than .05.
C) If the F-statistic is greater than the critical value (based on the information presented in Q19) then the p-value will be greater than .05.
D) All of the above are possible outcomes.

Question 7

To test sphericity of a data set Mauchley test is used, but what threshold is appropriate to assume sphericity is present?

A) > .05
B) < .05
C) < .01
D) < .001

Question 8

Sphericity refers to the assumption that the relationship between pairs of experimental conditions is similar, but how many trials are required for sphericity to become an issue?

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

Question 9

What would be the most appropriate equation to calculate the model degrees of freedom (df_M)?

A) df_M = k - 1
B) df_M = k + 1
C) df_M = k × 1
D) df_M = k / 1

Question 10

What would be the most appropriate equation to calculate the F-statistic?

A) F-statistic = MS_M / MS_R
B) F-statistic = MS_R / MS_M
C) F-statistic = MS_M × MS_R
D) F-statistic = MS_R × MS_M

Question 11

Calculate the residual mean sum of squares (MS_R) or the average amount of variance explained by the model or the unsystematic variation.

A) 2152.7
B) 4896.4
C) 7841.2
D) 1452.9

Question 12

Calculate the residual sum of squares (SS_R).

A) 64,582
B) 582
C) 82
D) 2

Question 13

If sphericity is violated which of the following post hoc tests is not advised?

A) Tukey's honestly significant difference (HSD)
B) Bonferroni
C) Games-Howell
D) Tukey's wholly significant difference (WSD)

Question 14

Which of the following is an example of a one-way repeated-measures research design?

A) Twenty rugby league players volunteered for a resistance training study. A one-repetition bench press was measured before the training began, at week 3 and then again in week 6 to evaluate strength gains.
B) Twenty rugby league players volunteered for a strength training study. Ten players were randomly allocated to a resistance training programme and ten randomly allocated to a plyometric training group. A one-repetition bench press was measured before the training began, at week 3 and then again in week 6 to evaluate strength gains from each method of training.
C) Twenty rugby league players volunteered for a strength training study. Ten players were randomly allocated to a resistance training programme and ten randomly allocated to a plyometric training group. A one-repetition bench press was measured at the end of the 6 weeks to evaluate strength gains from each method of training.
D) None of the descriptions are appropriate for a one-way repeated-measures research design.

Question 15

Calculate the mean sum of squares of the model (MS_M) or the average amount of variance explained by the model.

A) 793596.54
B) 847612.47
C) 333478.15
D) 972145.56

Question 16

Calculate the F-statistic.

A) 368.6
B) 489.1
C) 754.0
D) 124.7

Question 17

If sphericity is not assumed, what needs to be adjusted to account for the violation and what impact does it have on the F-ratio?

A) The degrees of freedom need to be adjusted, which makes the F-ratio more conservative to protect against Type I error
B) The degrees of freedom need to be adjusted, which makes the F-ratio more liberal to protect against Type II error
C) The mean sum of squares needs to be adjusted, which makes the F-ratio more conservative to protect against Type I error
D) The mean sum of squares needs to be adjusted, which makes the F-ratio more liberal to protect against Type II error

Question 18

Calculate the value for df_R.

A) 30
B) 16
C) 2
D) 14

Question 19

Which of the following is not a characteristic associated with a repeated-measures research design?

A) Between groups
B) Within groups
C) Same entities use
D) Related design

Question 20

What is the critical value (p = .05) for the F-statistic based on df_M and df_R?

A) 3.32
B) 2.69
C) 2.42
D) 2.27

Question 21

Which of the following methods of analysis is best represented by the description 'tests specific hypotheses by partitioning the variance'?

A) Contrast
B) Post hoc tests
C) MANOVA
D) z-score

Question 22

If we wished to incorporate the time of day in the experiment by having data collected at 8 A.m., 12 noon and 4 p.m. for each condition (i.e. barefoot, basic cushioning and cushioned support), what type of test would we need to run?

A) Two-way repeated-measures ANOVA
B) Three-way repeated-measures ANOVA
C) Five-way repeated-measures ANOVA
D) None of the above are appropriate.