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Physical Sciences and Mathematics Commons

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Mathematics

Mathematics Theses

2009

Sensitivity

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Full-Text Articles in Physical Sciences and Mathematics

Some Contributions In Statistical Discrimination Of Different Pathogens Using Observations Through Ftir, Dongmei Wang Dec 2009

Some Contributions In Statistical Discrimination Of Different Pathogens Using Observations Through Ftir, Dongmei Wang

Mathematics Theses

Fourier Transform Infrared (FTIR) has been use to discriminate different pathogens by signals from cells infected with these versus normal cells as references. To do the statistical analysis, Partial Least Square Regression (PLSR) was utilized to distinguish any two kinds of virus‐infected cells and normal cells. Validation using Bootstrap method and Cross‐validations were employed to calculate the shrinkages of Area Under the ROC Curve (AUC) and specificities corresponding to 80%, 90%, and 95% sensitivities. The result shows that our procedure can significantly discriminate these pathogens when we compare infected cells with the normal cells. On the height of this success, …


Advanced Statistical Methodologies In Determining The Observation Time To Discriminate Viruses Using Ftir, Shan Luo Jul 2009

Advanced Statistical Methodologies In Determining The Observation Time To Discriminate Viruses Using Ftir, Shan Luo

Mathematics 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 …