statistic question 5.6 The authors of the paper \"Flat-footedness is Not a Disad
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statistic question
5.6 The authors of the paper "Flat-footedness is Not a Disadvantage for Athletic Performance in Children Aged Il to 15 Years" Pediatrics 12009]: e386-e392) studied the relationship between y arch height and scores on a number of different motor ability tests for 218 children. They reported the following correlation coefficients: Correlation between Test Score and Arch Height -0.02 Motor Ability Test Height of counter movement jump Hopping: average height Hopping: average power Balance, closed eyes, -0.10 -0.09 0.04 Toe flexion 0.05 Interpret the value of the correlation coefficient be- tween average hopping height and arch height. What does the fact that the correlation coefficient is a.Explanation / Answer
a. The correlation between average hopping height and arch height indicates that they have very less association between them. The negative sign indicates that with the increase in arch height, the average hopping height decreases and vice-versa. Hence, higher arch heights tend to be paired with lower average hopping heights.
b. Yes, the given correlation coefficients support the fact that small value of arch height is not a disadvantage for motor skills. On three cases, motor skills increases for small arch heights and for two cases it decreases for small arch heights. But, yet the positive correlation coefficients are very much low and close to zero, so it can be assumed that toe flexion and balance,closed eyes,one leg are independent on arch heights as there is almost no association between these motor skills and arch height. So, on an average motor skills tend to increase with decrease in arch height.
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