Method for exploiting bias in factor analysis using...

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

Reexamination Certificate

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

C702S023000

Reexamination Certificate

active

07472153

ABSTRACT:
Bias plays an important role in factor analysis and is often implicitly made use of, for example, to constrain solutions to factors that conform to physical reality. However, when components are collinear, a large range of solutions may exist that satisfy the basic constraints and fit the data equally well. In such cases, the introduction of mathematical bias through the application of constraints may select solutions that are less than optimal. The biased alternating least squares algorithm of the present invention can offset mathematical bias introduced by constraints in the standard alternating least squares analysis to achieve factor solutions that are most consistent with physical reality. In addition, these methods can be used to explicitly exploit bias to provide alternative views and provide additional insights into spectral data sets.

REFERENCES:
patent: 6584413 (2003-06-01), Keenan et al.
patent: 6675106 (2004-01-01), Keenan et al.
patent: 6687620 (2004-02-01), Haaland et al.
patent: 2005/0183958 (2005-08-01), Wikiel et al.
BRO, Chemometrics and Intelligent Laboratory Systems, 1997, 38, 149-171.
Tauler, Analytical Chemistry, 1993, 65, 2040-2047.
Andrew, Applied Spectroscopy, 1998, 52, 6, 797-807.
Kotula, Microscopy and Microanalysis, 9 (1), 1 (2003).
Bro, Journal of Chemometrics, vol. 11, 393-401, (1997).
Hoerl, Technometrics, vol. 12, No. 1, 55-67, (Feb. 1970).
Marquardt, Technometrics, vol. 12, No. 3, 591-612, (Aug. 1970).
Wang, Analytica Chimica Acta, 476, (2003), 93-109.
Gemperline, Analytical Chemistry, vol. 75, No. 16, 4236-4243, (Aug. 2003).
Lawson, Solving Least Square Problems, 1995; Society for Industrial and Applied Mathematics, Philadelphia.
Bjorck, Numerical Methods for Least Squares Problems, 1996, Society for Industrial and Applied Mathematics, Philadelphia.
Draper, Applied Regression Analysis, Third Edition, 1998, A Wiley-Interscience Publication, New York.
U.S. Appl. No. 10/772,805, filed Feb. 4, 2004, Keenan.
U.S. Appl. No. 10/772,548, filed Feb. 4, 2004, Keenan.

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Method for exploiting bias in factor analysis using... does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Method for exploiting bias in factor analysis using..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Method for exploiting bias in factor analysis using... will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-4047443

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.