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Full-Text Articles in Mathematics
An Analysis Of Fourier Transform Infrared Spectroscopy Data To Predict Herpes Simplex Virus 1 Infection, Patrick D. Champion
An Analysis Of Fourier Transform Infrared Spectroscopy Data To Predict Herpes Simplex Virus 1 Infection, Patrick D. Champion
Mathematics Theses
The purpose of this analysis is to evaluate the usefulness of Fourier Transform Infrared (FTIR) spectroscopy in the detection of Herpes Simplex Virus 1 (hsv1) infection at an early stage. The raw absorption values were standardized to eliminate inter-sampling error. Wilcoxon-Mann-Whitney (WMW) statistic's Z score was calculated to select significant spectral regions. Partial least squares modeling was performed because of multicollinearity. Kolmogorov-Smirnov statistic showed models for healthy tissues from different time groups were not from same distribution. The additional 24 hour dataset was evaluated using the following methods. Variables were selected by WMW Z score. Difference of Composites statistic, DC, …
Some Conclusions Of Statistical Analysis Of The Spectropscopic Evaluation Of Cervical Cancer, Hailun Wang
Some Conclusions Of Statistical Analysis Of The Spectropscopic Evaluation Of Cervical Cancer, Hailun Wang
Mathematics Theses
To significantly improve the early detection of cervical precancers and cancers, LightTouch™ is under development by SpectRx Inc.. LightTouch™ identifies cancers and precancers quickly by using a spectrometer to analyze light reflected from the cervix. Data from the spectrometer is then used to create an image of the cervix that highlights the location and severity of disease. Our research is conducted to find the appropriate models that can be used to generate map-like image showing disease tissue from normal and further diagnose the cervical cancerous conditions. Through large work of explanatory variable search and reduction, logistic regression and Partial Least …
New Non-Parametric Confidence Interval For The Youden, Haochuan Zhou
New Non-Parametric Confidence Interval For The Youden, Haochuan Zhou
Mathematics Theses
Youden index, a main summary index for the Receiver Operating Characteristic (ROC) curve, is a comprehensive measurement for the effectiveness of a diagnostic test. For a continuous-scale diagnostic test, the optimal cut-point for the positive of disease is the cut-point leading to the maximization of the sum of sensitivity and specificity. Finding the Youden index of the test is equivalent to maximize the sum of sensitivity and specificity for all the possible values of the cut-point. In this thesis, we propose a new non-parametric confidence interval for the Youden index. Extensive simulation studies are conducted to compare the relative performance …
False Positives And Referral Bias: Content For A Quantitative Literacy Course, Stuart Boersma, Teri Willard
False Positives And Referral Bias: Content For A Quantitative Literacy Course, Stuart Boersma, Teri Willard
Numeracy
An extended study of accuracy in medical screening is presented as a useful application to increase students’ quantitative reasoning skills. Two detailed examples are presented. The first explores the frequency of obtaining false positive results from a medical screening tool while the second examines the issue of referral bias and its effect on the apparent sensitivity and specificity of the screening tool. Results from student assessments indicate that the activity increases one’s ability to define terms such as “false positive” and “false negative” and increases one’s ability to read and compute with information obtained from a two-way table. Teacher assessment …