Advanced Statistical Methodologies in Determining the Observation Time to Discriminate Viruses Using FTIR

• Main Author: Luo, Shan
• Format: Others
• Published: Digital Archive @ GSU 2009
• Subjects: Bootstrap method; K-fold Cross-Validation; Shrinkage; Sensitivity; Specificity; Inner-difference; Intra-difference; Wilcoxon Signed-Rank Test; Partial Least Square Regression; Area Under the ROC Curve; Mathematics
• Online Access: http://digitalarchive.gsu.edu/math_theses/86; http://digitalarchive.gsu.edu/cgi/viewcontent.cgi?article=1089&context=math_theses

Fourier transform infrared (FTIR) spectroscopy, one method of electromagnetic radiation for detecting specific cellular molecular structure, can be used to discriminate different types of cells. The objective is to find the minimum time (choice among 2 hour, 4 hour and 6 hour) to record FTIR readings such that different viruses can be discriminated. A new method is adopted for the datasets. Briefly, inner differences are created as the control group, and Wilcoxon Signed Rank Test is used as the first selecting variable procedure in order to prepare the next stage of discrimination. In the second stage we propose either partial least squares (PLS) method or simply taking significant differences as the discriminator. Finally, k-fold cross-validation method is used to estimate the shrinkages of the goodness measures, such as sensitivity, specificity and area under the ROC curve (AUC). There is no doubt in our mind 6 hour is enough for discriminating mock from Hsv1, and Coxsackie viruses. Adeno virus is an exception.