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When Performing a Rank Correlation Test, One Alternative to Using rS=±t2t2+n2r _ { S } = \pm \sqrt { \frac { t ^ { 2 } } { t ^ { 2 } + n - 2 } }

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When performing a rank correlation test, one alternative to using Table A-9 to find critical values is to compute them using this approximation: rS=±t2t2+n2r _ { S } = \pm \sqrt { \frac { t ^ { 2 } } { t ^ { 2 } + n - 2 } }
where tt is the tscoret - s c o r e from Table A3\mathrm { A } - 3 corresponding to n2n - 2 degrees of freedom. Use this approximation to find critical values of rSr _ { \mathrm { S } } for the case where n=11\mathrm { n } = 11 and α=0.01\alpha = 0.01 .

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