Estimating the Area under a Receiver Operating Characteristic Curve For Repeated Measures Design

The receiver operating characteristic (ROC) curve is widely used for diagnosing as well as for judging the discrimination ability of different statistical models. Although theories about ROC curves have been established and computation methods and computer software are available for cross-sectional design, limited research for estimating ROC curves and their summary statistics has been done for repeated measure designs, which are useful in many applications, such as biological, medical and health services research. Furthermore, there is no published statistical software available that can generate ROC curves and calculate summary statistics of the area under a ROC curve for data from a repeated measures design. Using generalized linear mixed model (GLMM), we estimate the predicted probabilities of the positivity of a disease or condition, and the estimated probability is then used as a bio-marker for constructing the ROC curve and computing the area under the curve. The area under a ROC curve is calculated using the Wilcoxon non-parametric approach by comparing the predicted probability of all discordant pairs of observations. The ROC curve is constructed by plotting a series of pairs of true positive rate (sensitivity) and false positive rate (1- specificity) calculated from varying cuts of positivity escalated by increments of 0.005 in predicted probability. The computation software is written in SAS/IML/MACRO v8 and can be executed in any computer that has a working SAS v8 system with SAS/IML/MACRO.

Local Probes for Quantum Hall Ferroelectrics and Nematics

Two-dimensional multi-valley electronic systems in which the dispersion of individual pockets has low symmetry give rise to quantum Hall ferroelectric and nematic states in the presence of strong quantising magnetic fields. We investigate local signatures of these states arising near impurities that can be probed via Scanning Tunnelling Microscopy (STM) spectroscopy. For quantum Hall ferroelectrics, we demonstrate a direct relation between the dipole moment measured at impurity bound states and the ideal bulk dipole moment obtained from the modern theory of polarisation. We also study the many-body problem with a single impurity via exact diagonalization and find that near strong impurities non-trivial excitonic state can form with specific features that can be easily identified via STM spectroscopy.Comment: Main: 5 pages, 4 figures; Supplement: 9 pages, 4 figures; published versio

Estimating the Area under a Receiver Operating Characteristic Curve For Repeated Measures Design

The receiver operating characteristic (ROC) curve is widely used for diagnosing as well as for judging the discrimination ability of different statistical models. Although theories about ROC curves have been established and computation methods and computer software are available for cross-sectional design, limited research for estimating ROC curves and their summary statistics has been done for repeated measure designs, which are useful in many applications, such as biological, medical and health services research. Furthermore, there is no published statistical software available that can generate ROC curves and calculate summary statistics of the area under a ROC curve for data from a repeated measures design. Using generalized linear mixed model (GLMM), we estimate the predicted probabilities of the positivity of a disease or condition, and the estimated probability is then used as a bio-marker for constructing the ROC curve and computing the area under the curve. The area under a ROC curve is calculated using the Wilcoxon non-parametric approach by comparing the predicted probability of all discordant pairs of observations. The ROC curve is constructed by plotting a series of pairs of true positive rate (sensitivity) and false positive rate (1- specificity) calculated from varying cuts of positivity escalated by increments of 0.005 in predicted probability. The computation software is written in SAS/IML/MACRO v8 and can be executed in any computer that has a working SAS v8 system with SAS/IML/MACRO

Sample Size Calculation and Power Analysis of Time-Averaged Difference

Little research has been done on sample size and power analysis under repeated measures design. With detailed derivation, we have shown sample size calculation and power analysis equations for timeaveraged difference to allow unequal sample sizes between two groups for both continuous and binary measures and explored the relative importance of number of unique subjects and number of repeated measurements within each subject on statistical power through simulation

Review of Progress in New-Coronavirus Detection and Vaccine Research

Since December 2019, new coronaviruses have been spreading in the population with rapid transmission and high incidence, which are not easy to prevent. In this paper, we compiled and summarized the current status and characteristics of new-coronavirus detection and vaccine development by reviewing literature databases such as China Knowledge Network and PubMed. Through the principle of action analysis, we focused on comparing the pros and cons of various routes of new coronavirus detection, and the advantages and disadvantages of several different types of new coronavirus vaccines. Through the comparison, we found that 1. different detection routes target different populations, and the integrated application of multiple detection routes can lead to more accurate conclusions about virus detection. 2.several of the new crown vaccines on the market do not have the same mechanism of action, and you will need to choose according to your specific needs.3. in addition, the mRNA NCC vaccine is a great advancement of NCC vaccines in China. With the advantages of a development cycle and low side effects, the mRNA vaccine will become an important trend in future vaccine development

Influence of installation deviation on dynamic performance of synchronous magnetic coupling

To improve dynamic characteristics of synchronous magnetic coupling, this paper mainly analyzed the influence of the installation deviation on the synchronous magnetic coupling’s dynamic performance used in the horizontal axis wave energy power generation device. Dynamic characteristics equations based on Lagrange equation are built in the paper to analyze the dynamic characteristic of synchronous magnetic coupling. The radial deviation, the angle deviation and the center-of-mass deviation are considered in the equation. The influence of those installation deviations on the synchronous magnetic coupling performance is analyzed based on the mathematical model. The results show that the rise time, the overshoot, the peak time, the adjusting time and the oscillation of the synchronous magnetic coupling are almost not affected by those installation deviations

A new type flexible transmission mechanism used in ocean energy converters

Traditional contact seal is usually used in rotating parts of ocean energy converters. It is hard to avoid leakage, and with the increase of working time, the leakage becomes serious, which will make ocean energy converters fail to work. In the paper, a new type isolation transmission mechanism, which is permanent magnetic coupling, replaces the traditional contact seal and achieves absolute seal of the rotating parts and longtime operation of ocean energy converters. This paper introduces permanent magnetic coupling into ocean energy converters and uses the equivalent magnetic charge theory to analyze the influence of magnet pole-pairs number on the transmitted torque of permanent magnetic coupling. The relationship between permanent magnetic coupling transmitted torque and magnet pole-pairs number is obtained. The paper is conducive to the promotion of using permanent magnetic coupling in ocean energy converters