Fig. 3

Post power-law correction, Pareto distributions and scatterplots of spike-in background and dilution datasets. a and b give the Pareto distribution plots of the scaled background counts from the spike-in background and NUGC3 dilution dataset respectively, after the power-law correction was applied. Both plots are segmented into the highest-count to lowest-count regions based on an order of magnitude per segment (see vertical dotted lines across horizontal axis). Both plots display a power-law distribution with a more uniform slope throughout all count segments. In fact, the power-law correction estimates how the true underlying distribution should have been without aliasing. Meanwhile, c and d show that the corrected count values exhibit less heteroskedasticity across all count segments and variation among the replicates with the increase in slope values after the power-law correction. Finally, the minimum count value of each replicate has increased such that the uncorrected count values previously (See Fig. 2C and D) in the low and lowest-count segment have now been moved into the mid-count segment