Browsing Statistics Doctoral Work by Issue Date
Now showing items 21-34 of 34
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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
(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. ... -
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 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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 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 ... -
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 ... -
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 ... -
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 ...