Figure 3

Bootstrap estimates of standard deviation of the correlations. Each point shows the Pearson correlation between features of an ID pair, versus the square root of its bootstrap variance estimate (R=200 replications). The blue solid line is a loess smooth of these points. The red dotted line is from the normal theory expression for the variance (1?−?ρ²)/(n?−?3) of a Pearson correlation coefficient estimate $\widehat{p}$. The smooth fit for the relationship between the correlation and the bootstrap standard deviation follows the normal theory curve well except at large values, but the individual bootstrap estimates vary from the curve substantially.