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Method for analyzing asymmetric clusters in spectral analysis

  • US 5,124,932 A
  • Filed: 07/22/1991
  • Issued: 06/23/1992
  • Est. Priority Date: 03/10/1988
  • Status: Expired due to Fees
First Claim
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1. A method for analyzing a sample comprising the steps of:

  • assembling a first plurality of known samples to provide a training set of known samples;

    sequentially placing each of the training set of known samples in a spectroscopic apparatus for measuring a property of the sample as a function of an observable parameter;

    measuring the property of the known samples to obtain a training set of spectra at a plurality of values of the observable parameters;

    storing said training set of spectra;

    forming a bootstrap distribution from the training set of spectra;

    measuring the property of test samples at the plurality of values of the observable parameters to obtain a set of test spectra;

    storing said test spectra;

    forming a univariate distribution from the bootstrap distribution, the univariate distribution comprising points of the bootstrap distribution located within a predetermined distance of a line between a center point of the bootstrap distribution and the test spectrum of the test sample;

    determining skew-adjusted confidence limits from the bootstrap distribution'"'"'s center and a median of the training set median and a median of the univariate distribution; and

    determining whether the test sample is a member of the sample population based on the skew-adjusted confidence limits.

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