Basic Statistical Analysis of LWR Pin Power Data
This article details the basic mathematical formulas used to statistically compare pin power data sets from a reference and an alternate LWR.
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Pin Power Dataset Representation
First, let's view the pin power dataset of each LWR as a 4D matrix P(i, j, k, l) where
In order to compare two of these pin power datasets, we shall define the following 4D pin power datasets:
|A||reference power data set|
|B||alternate power data set|
|C||power difference data set|
_C = B - A _ (a basic power difference)
_C = (B - A) / A _ (a relative power difference)
In addition, each element in C can be weighted by a 4D matrix W.
There are four general derived quantities used in pin power analysis. The first is the simple difference which is simply the dataset C. The second is the absolute difference which is the absolute value of C or |C|. The third is the average difference is a weighted average calculated with the following formula.
Finally, the root-mean-square difference is a weighted RMS difference determined by the formula below.
The following sections detail how to calculate the above quantities over a variety of dimensions to develop statistical results from pin power differences.