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In respect to this, why would you use Spearman's rank?
Spearman's Rank correlation coefficient is a technique which can be used to summarise the strength and direction (negative or positive) of a relationship between two variables. The result will always be between 1 and minus 1. Create a table from your data. Rank the two data sets.
Just so, why do we use Pearson correlation?
Common Uses The bivariate Pearson correlation indicates the following: Whether a statistically significant linear relationship exists between two continuous variables. The strength of a linear relationship (i.e., how close the relationship is to being a perfectly straight line)
The difference between the Pearson correlation and the Spearman correlation is that the Pearson is most appropriate for measurements taken from an interval scale, while the Spearman is more appropriate for measurements taken from ordinal scales.