Resolution:
## Figure 1.
The figure shows the theoretical (top panel) and empirical (bottom panel) relative
variance reduction with number of genes used for NORMA-Gene normalization. As the number of genes increases the relative standard deviation for the fitted
is reduced as displayed (see Eq. A8 in Additional file 1, Appendix A for the mathematical
rationale). Top panel: The figure shows the theoretical prediction that the standard
deviation of the fitted a is more than halved when using five genes. Adding further genes to the analysis only
slightly improves the estimate of a. Bottom panel: The figure shows the reduction in the standard deviation of the fitted
awhen NORMA-Gene is applied to real data. Dark gray, light gray and white bars represent
data-sets I, II and III, respectively. As the improvements (reduction) of the standard
deviation is a result of adding one more gene to the analysis, the result is dependent
on the genes included in each data-set when all genes are not used. Thus, means and
error bars represent three different randomly normalizations. These corroborate with
the theoretical predictions of stable and robust normalization when five or more genes
are used.
a Heckmann |