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1 .Collect calibration data set.

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2. Perform data pretreatment including mean centering, variance scaling, n^ derivative, smoothing, k ratiometric method.

3. Decompose data into score and loading vectors using methods such as non-linear iterative partial least squares.

4. Determine appropriate number ot factors to include in a model which adequately represents the data.

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9. Determine generalized distance by methods including Mahalanobis distance (MD), and Robust distance (RD).

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11. Determine probability of class membership by evaluation of chi-squared distribution function or Hotelling's T-statistic.

12. Identify outliers as having large generalized distance which results in a low probability of class membership.

13. Remove outliers from the calibration set.

14. Do outliers have very large distances? |—*- Yes

No A

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15. Determine calibration model by methods including principal component regression,

partial least squares, multiple linear regression and artificial neural networks.

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16. Reduce data set down to significant factors by computing principal component analysis scores

or partial least squares scores.

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17. Use significant factors and reference data

to calculate regression coefficients and artificial neural networks weights.

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B

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18. Collect data from samples where concentration of analyte of interest is unknown.

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19. Apply pretreatment techniques used during the calibration phase.

I

20. Project data into principal component space defined by the calibration model.

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