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

question 104

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: $r _ { S } = \pm \sqrt { \frac { t ^ { 2 } } { t ^ { 2 } + n - 2 } }$
where $t$ is the $t$ -score from the $t$ Distribution table corresponding $t$ n $- 2$ degrees of freedom. Use this approximation to find critical values of $\mathrm { r } _ { \mathrm { S } }$ for the case where $\mathrm { n } = 11$ and $\alpha = 0.01$ .

• A) \(\pm 0.735\)
• B) \(\pm 0.411\)
• C) \(\pm 0.685\)
• D) \(\pm 0.726\)

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Definitions:

Sample Size

The number of observations or datapoints selected from a population to be included in a sample.

Significant Difference

A result in data indicating that the observed effect or difference is unlikely to have occurred due to chance or random variation.

Supermarket Chains

Large retail organizations operating multiple grocery stores under the same brand or ownership, offering a wide variety of food and household products.

Student T-Distribution

A probability distribution that arises in the estimation of means of a normally distributed population in situations where the sample size is small and the population standard deviation is unknown.