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# Spearman’s Rank Correlation Coefficient

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### Spearman’s Rank Correlation Coefficient

1. 1.  Non parametric method: Less power but more robust.  Does not assume normal distribution.   Also varies between -1 and 1
2. 2.  The usual way of writing Spearman Rank Coefficient is: Where: d: differences between the ranks of the two variables n: number of samples
3. 3. X 4 4 7 25 21 7 Y 16 8 8 20 16 15 12 20 25 8 Solution: Step 1. Ho: 7 17 16 X=Y 9
4. 4. Step 5. Computation of r. X Y Rank X Rank Y D D² 4 16 9.5 4.5 5 25 4 8 9.5 9 -0.5 0.25 7 8 7 9 -2 4 25 20 1 2.5 -1.5 2.25 7 16 7 4.5 2.5 6.25 17 15 3 6 -3 9 16 12 4 7 -3 9 9 20 5 2.5 2.5 6.25 21 25 2 1 1 1 7 8 7 9 -2 4
5. 5. Step 6. Decision: Accept Ho since r = 0.594 is less than 0.602. Interpretation: The values of X and Y are not related.
6. 6. 1. Calculate the correlation between the IQ of a person with the number of hours spent in front of TV per week. IQ Hours of TV per week 106 7 86 0 100 27 101 50 99 28 103 29 97 20 113 12 112 6 110 17
7. 7. 1. Calculate the correlation between the IQ of a person with the number of hours spent in front of TV per week. IQ Hours of TV per week 106 7 86 0 100 27 101 50 99 28 103 29 97 20 113 12 112 6 110 17