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Evaluation of analytical performance based on partial order methodology.

Lars Carlsen1, Rainer Bruggemann2, Olga Kenessova3

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Summary
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Partial order methodology offers a novel approach to evaluate analytical performance beyond linear scales. This method simplifies comparisons by analyzing data profiles, aiding in laboratory and method assessment.

Keywords:
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Area of Science:

  • Analytical Chemistry
  • Data Analysis
  • Method Validation

Background:

  • Traditional performance measurements often rely on linear scales, which may be insufficient for comprehensive analytical performance evaluation.
  • Partial order methodology provides an alternative for analyzing data matrices and simplifying relative comparisons based on data profiles.

Purpose of the Study:

  • To introduce and illustrate the application of partial order methodology for evaluating analytical performance.
  • To demonstrate how this method can be used for interlaboratory comparisons, method comparisons, and method optimization.

Main Methods:

  • Partial order analysis of data matrices, treating it as an ordinal analysis.
  • Simultaneous evaluation of multiple performance indicators (mean, standard deviation, skewness) without data pretreatment.
  • Application to data from interlaboratory comparisons and proficiency testing.

Main Results:

  • Establishes a partial ordering of participating laboratories.
  • Quantifies the 'distance' of each laboratory from a reference laboratory.
  • Classifies laboratories based on the concept of 'peculiar points'.

Conclusions:

  • Partial order methodology provides a robust framework for evaluating analytical performance by considering multiple indicators simultaneously.
  • This approach offers a "distance" metric from the true value, enhancing the understanding of analytical performance.
  • The methodology is versatile, applicable to laboratory performance, method comparison, and optimization without requiring data pre-processing.