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

A

Question 2

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

Answer 2

A

Question 3

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

Answer 3

A

Question 4

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 5

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 6

Calculate the F-statistic.

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

Question 7

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 8

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 9

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 10

Calculate the mean sum of squares (SS_M).

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

Question 11

Calculate the value for df_M in the present example.

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

Question 12

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 13

Calculate the residual sum of squares (SS_R).

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

Question 14

Calculate the within sum of squares (SS_W).

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

Question 15

If sphericity cannot be assumed, which of the following might be appropriate?

A) Use of a correction factor, such as Greenhouse-Geisser or Huynh-Felt
B) Use a multivariate statistic
C) Multilevel model
D) A or B only

Question 16

Calculate the value for df_R.

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

Question 17

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 18

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 19

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 20

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 21

If we wished to incorporate the time of day in the experiment by having data collected at 8
A) Two-way repeated-measures ANOVA

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

Question 22

Based on the adaptation to the experiment, what would be the main effects examined? (You may select more than one answer.)

A) Shoe type
B) Time of day
C) Shoe × time of day
D) None of the above are appropriate.

Question 23

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 24

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