Statistics Doctoral Work
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Recent Submissions
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Community detection in censored hypergraph
(North Dakota State University, 2024)Network, or graph, represent relationships between entities in various applications, such as social networks, biological systems, and communication networks. A common feature in network data is the presence of community ... -
Profile Matching in Observational Studies With Multilevel Data
(North Dakota State University, 2022)Matching is a popular method to use with observational data to replicate desired features of a randomized control trial. A common problem encountered in observational studies is the lack of common support or the limited ... -
A Study of Locally D-optimal Designs for the Emax Model with Heteroscedasticity
(North Dakota State University, 2022)The classic theory of locally optimal designs is developed on the center+error model assuming Gaussianity and homoscedasticity for random error, in which, the Maximum Likelihood Estimator (MLE) turns out to be the most ... -
Performance of Permutation Tests Using Simulated Genetic Data
(North Dakota State University, 2022)Disease statuses and biological conditions are known to be greatly impacted by differences in gene expression levels. A common challenge in RNA-seq data analysis is to identify genes whose mean expression levels change ... -
Comparing Prediction Accuracies of Cancer Survival Using Machine Learning Techniques and Statistical Methods in Combination with Data Reduction Methods
(North Dakota State University, 2022)This comparative study of five-year survival prediction for breast, lung, colon, and leukemia cancers using a large SEER dataset along with 10-fold cross-validation provided us with an insight into the relative prediction ... -
Proposed Nonparametric Tests for the Umbrella Alternative in a Mixed Design Testing for Location and Location-Scale
(North Dakota State University, 2022)Researchers sometimes use the umbrella alternative when testing for differences in treatment effects, where the parameters increase up to a point and decrease after that point. Sometimes different treatment effects may ... -
Comparing Prediction Methods of Wheat Grain Quality With the Area Under the Receiver Operating Characteristic Curves
(North Dakota State University, 2021)A widely used breeding method is genomic selection, which uses genome-wide marker coverage to predict genotypic values for quantitative traits. Genomic selection combines molecular and phenotypic data in a training population ... -
A Simulation Study Using a Mixed Model Framework to Analyze the Impact of Sample Size and Variability on Type I Error and Power
(North Dakota State University, 2021)Repeated measures design (or longitudinal study) are commonly seen in many research fields, especially in pharmaceutical clinical trials, agricultural research, and psychology. PROC MIXED (SAS Inc.) is a well-known standard ... -
On Lasso Estimation of Linear Mixed Model for High Dimensional Longitudinal Data
(North Dakota State University, 2021)With the advancement of technology in data collection, repeated measurements with high dimensional covariates have become increasingly common. The classical statistics approach for modeling the data of this kind is via the ... -
Proposed Nonparametric Tests for Equality of Location and Scale Against Ordered Alternatives
(North Dakota State University, 2021)Ordered alternatives tests are sometimes used in life-testing experiments and drug-screening studies. An ordered alternative test is sometimes used to gain power if the researcher thinks parameters will be ordered in a ... -
Nonparametric Test for Nondecreasing Order Alternatives in Randomized Complete Block and Balanced Incomplete Block Mixed Design
(North Dakota State University, 2020)Nonparametric tests are used to test hypotheses when the data at hand violate one or more of the assumptions for parametric tests procedures. The test is an ordered alternative (nondecreasing) when there is prior information ... -
Distributed Inference for Degenerate U-Statistics with Application to One and Two Sample Test
(North Dakota State University, 2020)In many hypothesis testing problems such as one-sample and two-sample test problems, the test statistics are degenerate U-statistics. One of the challenges in practice is the computation of U-statistics for a large sample ... -
Nonparametric Tests for the Umbrella Alternative in a Mixed Design for a Known Peak
(North Dakota State University, 2020)When an assumption from a parametric test cannot be verified, a nonparametric test provides a simple way of conducting a test on populations. The motivation behind conducting a test of the hypothesis is to examine the ... -
Proposed Nonparametric Tests for the Umbrella Alternative in a Mixed Design
(North Dakota State University, 2020)Several nonparametric tests are proposed for a mixed design consisting of a randomized complete block design (RCBD) and a completely randomized design (CRD) under the umbrella hypothesis with a known and an unknown peak. ... -
Proposed Methods for the Nondecreasing Order-Restricted Alternative in a Mixed Design
(North Dakota State University, 2020)Nonparametric statistics are commonly used in the field of statistics due to their robustness when the underlying assumptions are violated for the usual parametric statistics. In this dissertation, we proposed eight ... -
Proposed Nonparametric Tests for the Simple Tree Alternative for Location and Scale Testing
(North Dakota State University, 2020)Location-scale problems arise in many cases, such as, bioinformatics, climate dynamics, finance and medicine (Marozzi, 2013). This research focuses on developing tests to determine whether one or more treatment effects ... -
Proposed Nonparametric Tests for the Umbrella Alternative in a Mixed Design for Both Known and Unknown Peak
(North Dakota State University, 2019)In several situations, and among various treatment effects, researchers might test for an umbrella alternative. The need for an umbrella alternative arises in the evaluation of the reaction to drug dosage. For instance, ... -
Integrative Data Analysis of Microarray and RNA-seq
(North Dakota State University, 2018)Background: Microarray and RNA sequencing (RNA-seq) are two commonly used high-throughput technologies for gene expression profiling for the past decades. For global gene expression studies, both techniques are expensive, ... -
Conditional Random Field with Lasso and its Application to the Classification of Barley Genes Based on Expression Level Affected by Fungal Infection
(North Dakota State University, 2019)The classification problem of gene expression level, more specifically, gene expression analysis, is a major research area in statistics. There are several classical methods to solve the classification problem. To apply ... -
A Conditional Random Field (CRF) Based Machine Learning Framework for Product Review Mining
(North Dakota State University, 2019)The task of opinion mining from product reviews has been achieved by employing rule-based approaches or generative learning models such as hidden Markov models (HMMs). This paper introduced a discriminative model using ...