Patent Document ID: 7930146
Application ID: 11802553
Patent Flag: 1

Claim One:
1. A process for errors in variables reduction data processing in an automated data processing system comprising a processor, and input device, and an output device for outputting to display and/or memory in order to obtain corrected fitting parameters for a fitting function; said process comprising: a) inputting into said processor a raw database comprised of observation sampling measurement data points; b) programming said processor with a fitting function comprising fitting parameters and which represents an expected locus of said data points; c) selecting a reduction deviation expression for said data points; d) inputting estimated preliminary values of said fitting parameters for said fitting function based on said data points; e) thereafter using said programmed processor: determining dependent component deviations for said plurality of data points as the deviation of each respective data point from the fitting function along its respective variable coordinates; subjecting the data points to reduction deviation to determine a reduction deviation value for each of said plurality of data points; determining a skew ratio for each data point as a ratio of the dependent component deviation divided by the reduction deviation; determining a weight factor for each of said data points from the reduction deviation values thereof, the fitting parameters of the fitting function, and the respective skew ratios; and determining optimized values for the fitting parameters from the sum of products of the weight factors and the squares of the reduction deviations of the respective data points; f) reiterating step e) using the optimized fitting parameters from the preceding interation in the fitting function until the optimized fitting parameters converge or approach a limit; and g) thereafter outputting the successive iterations of the fitting parameters for the fitting function as a corrected database of sampling data points.