Browsing Statistics Doctoral Work by Title
Now showing items 22-35 of 35
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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 ... -
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 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 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 Simple Tree Alternative in a Mixed Design
(North Dakota State University, 2014)For the general alternative, many test statistics exist for the dependent and independent variables. However, no documented test statistics exist for simple tree alternative for the dependent variables, independent ... -
Proposed Nonparametric Tests for the Simple Tree Alternative in a Mixed Design
(North Dakota State University, 2014)Video summarizing Ph.D. dissertation for a non-specialist audience. -
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 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, ... -
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 ... -
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 ... -
A Study of Influential Statistics Associated with Success in the National Football League
(North Dakota State University, 2015)This dissertation considers the most important aspects of success in the National Football League (NFL). Success is defined, for this paper, as winning individual games in the short term, and making the playoffs over the ... -
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 ... -
Two Approaches to the Isotonic Change-Point Problem: Nonparametric and Minimax
(North Dakota State University, 2014)A change in model parameters over time often characterizes major events. Situations in which this may arise include observing increasing temperatures, intense rainfall, and the valuation of a stock. The question is whether ... -
Where do the Differences Lie?: An Analysis of Distance Road Running Populations
(North Dakota State University, 2015)Recently, much research has been focused on the gap in performance between male and female runners. Our research is focused on examining the gap between these two running populations in depth to determine where the specific ...