TR-2005-13
Analysis of Pair-Wise Comparisons
L. Ridgway Scott; Angelika Longacre; Jerrold S. Levine. 6 October, 2005.
Communicated by L. Ridgway Scott.
Abstract
For biological arrays, performing multiple experimental repeats
is a common way to improve certainty of gene identification. But
this is offset by the high cost of each experiment. In a typical
experiment, n independent measurements (e.g., data from n separate
gene expression arrays are combined to yield a single estimation
per assay (e.g., per gene). Thus, 2n independent measurements,
yields only n comparative measurements. We show that it is
possible to compute abstractly the probabilities appropriate for
using other subsets of the potential $n^2$ comparisons derivable
from such data. We show the 2n-1 independent comparisons available
from among the $n^2$ possibilities perform the best.
Original Document
The original document is available in PDF (uploaded 6 October, 2005 by
L. Ridgway Scott).