Inference on the symmetry point-based optimal cut-off point and associated sensitivity and specificity with application to SARS-CoV-2 antibody data

  1. Alba María Franco-Pereira 1
  2. M. Carmen Pardo Llorente 1
  3. Christos T. Nakas 2
  4. Benjamin Reiser 3
  1. 1 Universidad Complutense de Madrid
    info

    Universidad Complutense de Madrid

    Madrid, España

    ROR 02p0gd045

  2. 2 University Of Thessaly
    info

    University Of Thessaly

    Volos, Grecia

    ROR https://ror.org/04v4g9h31

  3. 3 University of Bern
    info

    University of Bern

    Berna, Suiza

    ROR https://ror.org/02k7v4d05

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Revista:
Sort: Statistics and Operations Research Transactions

ISSN: 1696-2281

Año de publicación: 2023

Volumen: 47

Número: 1

Páginas: 187-204

Tipo: Artículo

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Otras publicaciones en: Sort: Statistics and Operations Research Transactions

Resumen

In the presence of a continuous response test/biomarker, it is often necessary to identify a cut-off point value to aid binary classification between diseased and non-diseased subjects. The symmetry-point approach which maximizes simultaneously both types of correct classification is one way to determine an optimal cut-off point. In this article, we study methods for constructing confidence intervals independently for the symmetry point and its corresponding sensitivity, as well as respective joint nonparametric confidence regions. We illustrate using data on the generation of antibodies elicited two weeks post-injection after the second dose of the Pfizer/BioNTech vaccine in adult healthcare workers.

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