activity
20172022
most citedPrevalence Threshold and the Geometry of Screening Curves

38 citations · 58 across the 10 of their papers we have counts for

collaborators

10 papers

stat.ML2022★ 2 cited

Information Threshold, Bayesian Inference and Decision-Making

Jacques Balayla

We define the information threshold as the point of maximum curvature in the prior vs. posterior Bayesian curve, both of which are described as a function of the true positive and…

stat.ML2021★ 4 cited

Prevalence Threshold and bounds in the Accuracy of Binary Classification Systems

Jacques Balayla

The accuracy of binary classification systems is defined as the proportion of correct predictions - both positive and negative - made by a classification model or computational alg…

stat.ME2021

The SIR-P Model: An Illustration of the Screening Paradox

Jacques Balayla

In previous work by this author, the screening paradox - the loss of predictive power of screening tests over time - was mathematically formalized using Bayesian theory. Where…

stat.ME2020

Theorems on the Geometric Definition of the Positive Likelihood Ratio (LR+)

Jacques Balayla

From the fundamental theorem of screening (FTS) we obtain the following mathematical relationship relaying the pre-test probability of disease to the positive predictive value…

stat.ME2020★ 10 cited

On the Formalism of The Screening Paradox

Jacques Balayla

Bayes' Theorem imposes inevitable limitations on the accuracy of screening tests by tying the test's predictive value to the disease prevalence. The aforementioned limitation is in…

stat.ME2020★ 4 cited

Derivation of Generalized Equations for the Predictive Value of Sequential Screening Tests

Jacques Balayla

Using Bayes' Theorem, we derive generalized equations to determine the positive and negative predictive value of screening tests undertaken sequentially. Where a is the sensitivity…

stat.ME2020

Bayesian Updating and Sequential Testing: Overcoming Inferential Limitations of Screening Tests

Jacques Balayla

Bayes' Theorem confers inherent limitations on the accuracy of screening tests as a function of disease prevalence. We have shown in previous work that a testing system can tolerat…

stat.ME2020★ 38 cited

Prevalence Threshold and the Geometry of Screening Curves

Jacques Balayla

The relationship between a screening tests' positive predictive value, , and its target prevalence, , is proportional - though not linear in all but a special case. In conseq…

physics.med-ph2019

The Fourier Evaluation of Tracings and Acidosis in Labor: the FETAL Technique

Jacques Balayla

Adequate fetal and neonatal development depend upon the presence of a normal acid-base environment during pregnancy and the smooth transition from intra-uterine to extra-uterine li…

cs.DL2017

The Individual Impact Index () Statistic: A Novel Article-Level Citation Metric

Jacques Balayla

Citation metrics are analytic measures used to evaluate the usage, impact and dissemination of scientific research. Traditionally, citation metrics have been independently measured…