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Table 3 The average signal-to-noise characteristics of the comparative dilution analysis (AGS versus NUGC3) before and after power-law correction

From: Finite-size effects in transcript sequencing count distribution: its power-law correction necessarily precedes downstream normalization and comparative analysis

  Original data Power-law corrected data
Mapping method Median residual (μ ± σ)noise Median residual (μ ± σ)signal Median signal-to-noise ratio \( \frac{E\left({x}_{signal}^2\right)}{\sigma_{noise}^2} \) Median residual (μ ± σ)noise Median residual (μ ± σ)signal Median signal-to-noise ratio \( \frac{E\left({x}_{signal}^2\right)}{\sigma_{noise}^2} \)
Bowtie1 0.018 ± 0.649 −0.192 ± 2.229 11.3 0.002 ± 0.261 0.006 ± 1.021 15.4
Bowtie2 (global) 0.019 ± 0.642 −0.169 ± 2.200 11.3 0.002 ± 0.244 0.003 ± 1.022 17.6
Novoalign 0.017 ± 0.641 −0.153 ± 2.189 11.3 0.001 ± 0.238 −0.001 ± 1.017 18.2
BWA 0.017 ± 0.648 −0.159 ± 2.193 11.1 0.001 ± 0.242 0.001 ± 1.019 17.8
  1. This table complements the MA-plots in Fig. 6A to D. It summarizes the characteristics of the signal and noise comparisons before and after power-law correction for each aligner across 6 normalization methods. The bias and variance of each normalization method, in terms of signal and noise, are computed from the difference between the comparisons and the fitted noise model and with the summary statistics taken. The signal-to-noise ratio, before and after power-law correction, are also given. The average signal-to-noise ratio improvement is about 1.5 times after the correction