Question: Using your completed table, you can calculate the Spearman correlation in two different ways. One way is to use the Pearson correlation formula on the
Using your completed table, you can calculate the Spearman correlation in two different ways. One way is to use the Pearson correlation formula on the ranks of the data. When you do this, you get rs = 0.02. The second way to calculate the Spearman correlation is to use the following formula: rs = 1 - 6 Dn(n - 1) In this formula, D represents the difference between ranks for each individual. Using this formula, you get rs = 0.12. These two estimates of the Spearman correlation are different for the following reason: The formula that uses the differences (D) is always only a rough estimate of rs . You do not use the Pearson correlation formula when calculating the Spearman correlation. The formula that uses the differences (D) loses accuracy when there are many ties. The Pearson correlation formula applied to the ranks loses accuracy when there are many ties
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