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reflimLOD: A Modified reflimR Approach for Estimating Reference Limits with Tolerance for Values Below the Lower Limit of Detection (LOD)

Author

Listed:
  • Frank Klawonn

    (Institute for Information Engineering, Ostfalia University, 38302 Braunschweig, Germany
    Biostatistics Group, Helmholtz Centre for Infection Research, 38124 Braunschweig, Germany)

  • Georg Hoffmann

    (Medizinischer Fachverlag Trillium GmbH, 82284 Grafrath, Germany
    Institute of Laboratory Medicine, German Heart Center Munich, 80636 München, Germany)

  • Stefan Holdenrieder

    (Institute of Laboratory Medicine, German Heart Center Munich, 80636 München, Germany)

  • Inga Trulson

    (Institute of Laboratory Medicine, German Heart Center Munich, 80636 München, Germany)

Abstract

Reference intervals are indispensable for the interpretation of medical laboratory results to distinguish “normal” from “pathological” values. Recently, indirect methods have been published, which estimate reference intervals from a mixture of normal and pathological values based on certain statistical assumptions on the distribution of the values from the healthy population. Some analytes face the problem that a significant proportion of the measurements are below the limit of detection ( LOD ), meaning that there are no quantitative data for these values, only the information that they are smaller than the LOD . Standard statistical methods for reference interval estimation are not designed to incorporate values below the LOD . We propose two variants of the indirect method reflimR—a quantile- and maximum likelihood-based estimator—that are able to cope with values below the LOD . We show, based on theoretical analyses, simulation experiments, and real data, that our approach yields good estimates for the reference interval, even when the values below the LOD contribute a substantial proportion to the data.

Suggested Citation

  • Frank Klawonn & Georg Hoffmann & Stefan Holdenrieder & Inga Trulson, 2024. "reflimLOD: A Modified reflimR Approach for Estimating Reference Limits with Tolerance for Values Below the Lower Limit of Detection (LOD)," Stats, MDPI, vol. 7(4), pages 1-19, October.
  • Handle: RePEc:gam:jstats:v:7:y:2024:i:4:p:75-1314:d:1506205
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