question archive 1) Answer the following questions based on the following repeated measures ANOVA: Mean: Time 1-6
1) Answer the following questions based on the following repeated measures ANOVA: Mean: Time 1-6
Subject:MathPrice: Bought3
1) Answer the following questions based on the following repeated measures ANOVA:
Mean: Time 1-6.8 Time 2-5.0 Time 3-4.3 Time 4-3.8
Source Df SS MS F
Between Subjects 11 81.92
Time 3 60.75 23.81 14.77
Error 33 45.25 1.37
Total 47 187.92
(a) Calculate partial h2 (partial eta-squared)for the effect of Time, Please show your work (1 Mark)________.
(b) If you were to conduct a Tukey HSD post hoc analysis on these data, what critical q value would you use, please show your work (1 Mark) ________.
(c) If you were to reanalyze these data as a One-Way between-subjects ANOVA, what would the new F value be (4 Marks)? Be sure to show all your work that helped you determine this.
2. The MSE has been incorporated in the majority of statistical procedures that we have used in this class. In general, what is the MSE a measure of (1 Mark) and why do we include the MSE in many statistical tests (1 Mark)?
3. A sport psychologist is interested in the effects of strength training on running speed for a small group of runners. She measured 8 runners' times around a 400m track before training, after 1 month of strength training, and after 2 months of strength training. Her data are provided below.
Pre-strength training 1 month 2 months Subject means
Athlete 1 60 57 55 57.33
Athlete 2 54 55 53 54.00
Athlete 3 53 55 52 53.33
Athlete 4 55 52 51 52.67
Athlete 5 60 58 57 58.33
Athlete 6 59 60 57 58.67
Athlete 7 57 57 58 57.33
Athlete 8 61 59 59 59.67
Means 57.38 56.63 55.25 56.42
(a) Compute the SS calculation to determine the effect of Strength Training (2 Marks).
(b) Imagine you had one participant who was an outlier, and ran a lot slower than the other participants, but they still improved at a rate comparable to the other participants after strength training. How would their inclusion in the data set impact the repeated-measures ANOVA (1 Mark)? Would it make a difference if this was a between-subject versus with-subject design? Explain why it would or wouldn't make a difference (1 Mark).
