Question

Suppose the Pearson’s product-moment correlation coefficient between shoulder range of motion and shoulder pain is .4. Also suppose the Pearson’s product moment correlation coefficient between the time since shoulder injury and shoulder pain is .2. Directly compare the proportion of variance in shoulder pain explained by each of these variables.

Answer 1

From the given information,

Pearson’s product-moment correlation coefficient between shoulder range of motion and shoulder pain is 0.4

Hence,

Proportion of variance in shoulder pain explained by shoulder range of motion is 0.4^2=0.16=16%

Similarly,

Proportion of variance in shoulder pain explained by the time since shoulder injury is 0.2^2=0.04=4%

Hence,

Shoulder range of motion explained 16% variance which is 4 times more than that of the proportion of variance explained by the time since shoulder injury.

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