When Performing a Rank Correlation Test, One Alternative to Using $$r _ { \mathrm { S } } = \pm \sqrt { \frac { t ^ { 2 } } { t ^ { 2 } + n - 2 } }$$

question 72

Multiple Choice

When performing a rank correlation test, one alternative to using the Critical Values of Spearman's Rank Correlation Coefficient table to find critical values is to compute them using this approximation: $$r _ { \mathrm { S } } = \pm \sqrt { \frac { t ^ { 2 } } { t ^ { 2 } + n - 2 } }$$
where $t$ is the t-score from the $t$ Distribution table corresponding to $n - 2$ degrees of freedom. Use this approximation to find critical values of $\mathrm { r } _ { \mathrm { S } }$ for the case where $\mathrm { n } = 17$ and $\alpha = 0.05$ .

• A) \(\pm 0.311\)
• B) \(\pm 0.480\)
• C) \(\pm 0.411\)
• D) \(\pm 0.482\)

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