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

question 85

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 $\mathrm { t }$ -score from the $t$ Distribution table corresponding to $\mathrm { n } - 2$ degrees of freedom. Use this approximation to find critical values of $\mathrm { r } _ { \mathrm { S } }$ for the case where $\mathrm { n } = 7$ and $\alpha = 0.05$ .

• A) \(\pm 0.669\)
• B) \(\pm 0.569\)
• C) \(\pm 0.755\)
• D) \(\pm 0.448\)

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Definitions:

Compute Mean

The process of calculating the arithmetic average of a set of numbers by summing them up and dividing by the count of numbers.

Predictors

Variables used in regression analysis to forecast the value of an outcome variable.

Independent Variable

An independent variable is a variable that is manipulated or changed in an experiment to test its effect on a dependent variable.

Dependent Variable

The outcome factor in a study that changes in response to manipulations of the independent variable.