English

A Priori Determination of the Pretest Probability

Methodology 2024-01-09 v1 Machine Learning

Abstract

In this manuscript, we present various proposed methods estimate the prevalence of disease, a critical prerequisite for the adequate interpretation of screening tests. To address the limitations of these approaches, which revolve primarily around their a posteriori nature, we introduce a novel method to estimate the pretest probability of disease, a priori, utilizing the Logit function from the logistic regression model. This approach is a modification of McGee's heuristic, originally designed for estimating the posttest probability of disease. In a patient presenting with nθn_\theta signs or symptoms, the minimal bound of the pretest probability, ϕ\phi, can be approximated by: ϕ15ln[θ=1iκθ]\phi \approx \frac{1}{5}{ln\left[\displaystyle\prod_{\theta=1}^{i}\kappa_\theta\right]} where lnln is the natural logarithm, and κθ\kappa_\theta is the likelihood ratio associated with the sign or symptom in question.

Keywords

Cite

@article{arxiv.2401.04086,
  title  = {A Priori Determination of the Pretest Probability},
  author = {Jacques Balayla},
  journal= {arXiv preprint arXiv:2401.04086},
  year   = {2024}
}