Effect of massage on boxers. Refer to the British Journal of Sports Medicine (Apr. 2000) study of the effect of massaging boxers between rounds, presented in Exercise.
Effect of massage on boxers. The British Journal of Sports Medicine (Apr. 2000) published a study of the effect of massage on boxing performance. Two variables measured on the boxers were blood lactate concentration (in mM) and the boxer’s perceived recovery (on a 28-point scale). On the basis of information provided in the article, the data shown in the accompanying table (and saved in the BOXING2 file) were obtained for 16 five-round boxing performances in which a massage was given to the boxer between rounds. Conduct a test to determine whether blood lactate level ( y ) is linearly related to perceived recovery ( x ). Use α =.10.
Blood Lactate | Level Perceived Recovery |
3.8 | 7 |
4.2 | 7 |
4.8 | 11 |
4.1 | 12 |
5.0 | 12 |
5.3 | 12 |
4.2 | 13 |
2.4 | 17 |
3.7 | 17 |
5.3 | 17 |
5.8 | 18 |
6.0 | 18 |
5.9 | 21 |
6.3 | 21 |
5.5 | 20 |
6.5 | 24 |
Based on Hemmings, B., Smith, M., Graydon, J., and Dyson, R. “Effects of massage on physiological restoration, perceived recovery, and repeated sports performance.” British Journal of Sports Medicine , Vol. 34, No. 2, Apr. 2000.
Two variables measured on the boxers were blood lactate level ( y ) and the boxer’s perceived recovery ( x ). The data for 16 five-round boxing performances are reproduced in the table and saved in the BOXING2 file.
a. Rank the values of the 16 blood lactate levels.
b. Rank the values of the 16 perceived recovery values.
c. Use the ranks from parts a and b to compute Spearman’s rank correlation coefficient. Give a practical interpretation of the result.
d. Find the rejection region for a test to determine whether y and x are rank correlated. Use a = .10.
e. What is the conclusion of the test you conducted in part d ? State your answer in the words of the problem.
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