Open Access. Powered by Scholars. Published by Universities.®
- Discipline
- Keyword
-
- Academic -- UNF -- Master of Science in Mathematical Science; Dissertations (1)
- Academic -- UNF -- Mathematics; EWMA distribution; tolerance limits (1)
- Classification, logistic regression, linear discriminant analysis, quadratic discriminant analysis, healthcare analytics, NHANES (1)
- Dissertations, Academic -- UNF -- Master of Science in Mathematical Science (1)
- Dissertations, Academic -- UNF -- Mathematics (1)
Articles 1 - 3 of 3
Full-Text Articles in Statistical Theory
A Comparative Study Of Classification Methods For Healthcare Analytics, Xueting Zhao
A Comparative Study Of Classification Methods For Healthcare Analytics, Xueting Zhao
UNF Graduate Theses and Dissertations
This thesis presents a comparative study of logistic regression, Linear Discriminant Analy- sis (LDA), and Quadratic Discriminant Analysis (QDA) for binary classification in healthcare analytics, integrating theoretical derivation, simulation, and real-data application. A facto- rial simulation study crosses the covariance structure (equal vs. unequal), predictor correla- tion (ρ ∈ {0, 0.5, 0.9}), dimensionality (p ∈ {2, 5, 10}) and sample size (n ∈ {50, 100, 200}) across 54 scenarios with 1,000 Monte Carlo replicates each. Three main findings emerge. Logistic regression and LDA are nearly interchangeable when the assumption of equal-covariance holds. QDA achieves substantially better discrimi- nation when class-specific …
Upper-Sided Ewma-Based Distribution-Specific Tolerance Limits, Owen Visser
Upper-Sided Ewma-Based Distribution-Specific Tolerance Limits, Owen Visser
UNF Graduate Theses and Dissertations
Tolerance limits are constructed from sample data to ascertain if a proportion of a process is within specification limits. There exists multiple methods of calculating the sample size requirements for tolerance limits under various assumptions. In this research, a distribution-specific algorithm that utilizes the exponentially weighted moving average technique (EWMA), first introduced by Sa and Razaila (2004), is reconstructed. The algorithm is used to calculate the required sample sizes for continuous construction of upper-sided tolerance limits. The sample sizes and intervals constructed from them are compared to three existing methods for various distributions. The distribution-specific algorithm was observed to reduce …
A New Right Tailed Test Of The Ratio Of Variances, Elizabeth Rochelle Lesser
A New Right Tailed Test Of The Ratio Of Variances, Elizabeth Rochelle Lesser
UNF Graduate Theses and Dissertations
It is important to be able to compare variances efficiently and accurately regardless of the parent populations. This study proposes a new right tailed test for the ratio of two variances using the Edgeworth’s expansion. To study the Type I error rate and Power performance, simulation was performed on the new test with various combinations of symmetric and skewed distributions. It is found to have more controlled Type I error rates than the existing tests. Additionally, it also has sufficient power. Therefore, the newly derived test provides a good robust alternative to the already existing methods.