4 citations · 4 across the 5 of their papers we have counts for
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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…
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…
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…
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…
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…