<Dl> <Dd> where <Ul> <Li> ρ (\ displaystyle \ rho) denotes the usual Pearson correlation coefficient, but applied to the rank variables . </Li> <Li> cov ⁡ (rg X, rg Y) (\ displaystyle \ operatorname (cov) (\ operatorname (rg) _ (X), \ operatorname (rg) _ (Y))) is the covariance of the rank variables . </Li> <Li> σ rg X (\ displaystyle \ sigma _ (\ operatorname (rg) _ (X))) and σ rg Y (\ displaystyle \ sigma _ (\ operatorname (rg) _ (Y))) are the standard deviations of the rank variables . </Li> </Ul> </Dd> </Dl> <Dd> where <Ul> <Li> ρ (\ displaystyle \ rho) denotes the usual Pearson correlation coefficient, but applied to the rank variables . </Li> <Li> cov ⁡ (rg X, rg Y) (\ displaystyle \ operatorname (cov) (\ operatorname (rg) _ (X), \ operatorname (rg) _ (Y))) is the covariance of the rank variables . </Li> <Li> σ rg X (\ displaystyle \ sigma _ (\ operatorname (rg) _ (X))) and σ rg Y (\ displaystyle \ sigma _ (\ operatorname (rg) _ (Y))) are the standard deviations of the rank variables . </Li> </Ul> </Dd> <Ul> <Li> ρ (\ displaystyle \ rho) denotes the usual Pearson correlation coefficient, but applied to the rank variables . </Li> <Li> cov ⁡ (rg X, rg Y) (\ displaystyle \ operatorname (cov) (\ operatorname (rg) _ (X), \ operatorname (rg) _ (Y))) is the covariance of the rank variables . </Li> <Li> σ rg X (\ displaystyle \ sigma _ (\ operatorname (rg) _ (X))) and σ rg Y (\ displaystyle \ sigma _ (\ operatorname (rg) _ (Y))) are the standard deviations of the rank variables . </Li> </Ul> <Li> ρ (\ displaystyle \ rho) denotes the usual Pearson correlation coefficient, but applied to the rank variables . </Li>

The formula for spearman's rank order correlation was actually derived by