Math Research Articles

Physics Maths Engineering

Bias estimation for Sigma metric calculation

I read with great interest the study of Keleş on the evaluation of analytical performances of clinical chemistry assays using the Six Sigma methodology (1). The author has computed Sigma metrics according to their laboratory performance as well as the manufacturer’s data in the reagent package inserts. For Sigma metric calculation according to laboratory performance, the author has estimated...
5 months ago

Biomedical

The apparent prevalence, the true prevalence

Serologic tests are important for conducting seroepidemiologic and prevalence studies. However, the tests used are typically imperfect and produce false-positive and false-negative results. This is why the seropositive rate (apparent prevalence) does not typically reflect the true prevalence of the disease or condition of interest. Herein, we discuss the way the true prevalence could be derived fr...
5 months ago

Physics Maths Engineering

Bias, the unfinished symphony

In laboratory medicine, mathematical equations are frequently used to calculate various parameters including bias, imprecision, measurement uncertainty, sigma metric (SM), creatinine clearance, LDL-cholesterol concentration, etc. Mathematical equations have strict limitations and cannot be used in all situations and are not open to manipulations. Recently, a paper “Bias estimation for Sigma metr...
5 months ago

Physics Maths Engineering

Emergent coordination in temporal partitioning congestion games

In this article we study the social dynamic of temporal partitioning congestion games (TPGs), in which participants must coordinate an optimal time-partitioning for using a limited resource. The challenge in TPGs lies in determining whether users can optimally self-organize their usage patterns. Reaching an optimal solution may be undermined, however, by a collectively destructive meta-reasoning p...
5 months ago

Physics Maths Engineering

Reinterpretation of the results of randomized clinical trials

Background Randomized clinical trials (RCTs) shape our clinical practice. Several studies report a mediocre replicability rate of the studied RCTs. Many researchers believe that the relatively low replication rate of RCTs is attributed to the high p value significance threshold. To solve this problem, some researchers proposed using a lower threshold, which is inevitably associated with a decreas...
5 months ago

Physics Maths Engineering

Prediction interval

Highlights • Prediction interval has a great potential to be used in laboratory medicine • It is a powerful tool for computing personalized reference interval and reference change value • It can be used to assess the stability of analytical systems • It can be used in monitoring the accuracy and reproducibility of analytical systems Monitoring is indispensable for assessing disease pr...
5 months ago

Physics Maths Engineering

Introducing prediction intervals for sample means

Researchers and practitioners are typically familiar with descriptive statistics and statistical inference. However, outside of regression techniques, little attention may be given to questions around prediction. In the current paper, we introduce prediction intervals using fundamental concepts that are learned in descriptive and inferential statistical training (i.e., sampling error, standard dev...
5 months ago

Physics Maths Engineering

Adapting power calculations to include a superiority margin: what are the implications?

This paper examines the application of super-superiority margins in study power calculations. Unlike traditional power calculations, which primarily aim to reject the null hypothesis by any margin, a super-superiority margin establishes a clinically significant threshold. Despite potential benefits, this approach, akin to a non-inferiority calculation but in an opposing direction, is rarely use...
6 months ago

Physics Maths Engineering

An explicit formula of powers of the 2 × 2 quantum matrices and its applications

The paper "An explicit formula of powers of the 2×2 quantum matrices and its applications" by Genki Shibukawa presents a formula for computing powers of 2×2 quantum matrices, extending classical results to the quantum domain. The author defines a 2×2 quantum matrix whose entries satisfy specific non-commutative relations involving a central parameter q. The main result provides an explicit expr...
3 years ago

Math

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