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Our approach explicitly allows for multiple associations arising in a scan, which is important because of the different degrees of ranking bias induced, and also the possibility, as we have seen, of negative bias in some circumstances.
Ranking bias arises when the quantities estimated depend upon a rank ordering related to those same quantities.
Ranking bias was addressed by Sun and Bull [2005], who used bootstrapping and cross-validation to correct for the bias of point estimates for the top-ranking SNP.
Ranking bias applies not only to the most significant SNP, but also to the second most significant, third most and so on, and is present even when there is no selection by significance.
The SNPs then form two subsets for which ranking bias operates within each subset but not between.
We account for both significance bias and ranking bias, and our approach explicitly allows and adjusts for multiple associations in a scan.
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In February, Congressman Devin Nunes released a much-hyped memo summarizing these same FISA applications, arguing they would reveal rank bias in the investigation.
Models were ranked using a second order bias correction version of Akaike's Information Criteria for small sample sizes (AICc), where minimum AICc indicated the best model explaining the data.
These curves clearly show a difference in mean intensity but since the underlying distributions are not normal, a different metric was needed to calculate a statistic for this (see ranked motif bias below).
To further extend and complement our analysis we investigate the dynamics (i.e., stability and changes) of the recipe and ingredient frequency vectors between consecutive months using the rank biased overlap (RBO) metric.
To go beyond the exploration of the popularity of selected ingredients, we next explore the dynamics (i.e., stability and changes) of the recipe and ingredient frequency vectors between consecutive weekdays and months using the rank biased overlap (RBO) metric [23].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com