Statistics
Recent Submissions

[20150624] OrderConstrained Reference Priors with Implications for Bayesian Isotonic Regression, Analysis of Covariance and Spatial Models
Selecting an appropriate prior distribution is a fundamental issue in Bayesian Statistics. In this dissertation, under the framework provided by Berger and Bernardo, I derive the reference priors for several models which ... 
[20150623] Nonparametric Bayes approach for a semimechanistic pharmacokinetic and pharmacodynamic model
Both frequentist and Bayesian approaches have been used to characterize population pharmacokinetics and pharmacodynamics(PK/PD) models. These methods focus on estimating the population parameters and assessing the ... 
[20150128] On the Equivalence Between the LRT, RLRT and Ftest for Testing Variance Components in the Generalized Splitplot Models
I study the equivalence between the Likelihood Ratio Test (LRT), Restricted Likelihood Ratio Test (RLRT) and the Ftest when testing variance components within the class of generalized splitplot (GSP) models. In this work, ... 
[20140712] Bayesian Partially Ordered Probit and Logit Models with an Application to Course Redesign
Large entrylevel courses are commonplace at public 2 and 4year institutions of higher education (IHEs) across the United States. Low pass rates in these entrylevel courses, coupled with tight budgets, have put pressure ... 
[20140213] A Survey of Lackoffit Tests Based on Sums of Ordered Residuals
Christensen and Lin (2014), henceforth CL, suggested two lackoffit tests to assess the adequacy of a linear model based on partial sums of residuals. In particular, their tests evaluated the adequacy of the mean function. ... 
[20130131] Contributions to linear models : lackoffit test and linear model with singular covariance matrices
Linear models are statistical models that are linear in their parameters. This class of models include traditional regression, ANOVA, ACOVA, mixed models and even many time series models. They can be extended into ... 
[20110916] Scan statistics for the online detection of locally anomalous subgraphs
Identifying anomalies in computer networks is a challenging and complex problem. Often, anomalies occur in extremely local areas of the network. Locality is complex in this setting, since we have an underlying graph ... 
[20110702] Adaptive weighting for flexible estimation in nonparametric regression models.
We propose a new method to find spatially adaptive smoothing splines. This new method breaks down the interval [0, 1] into p disjoint subintervals. Then we define p functional components in [0, 1], which have two ... 
[20100910] Generalizations of the statistical flowgraph model framework
Statistical flowgraphs model multistate semiMarkov processes and provide a way to perform inference for these processes. This methodology provides powerful results that significantly impact the study of multistate ... 
[20100209] Alternative goodnessoffit tests for linear models
Fan and Huang (2001) presented a goodnessoffit test for linear models based on Fourier transformations of the residuals of the fitted model. We present two more theoretically appealing tests in which the Fourier transforms ... 
[20100209] Contributions to partial least squares regression and supervised principal component analysis modeling
Latent structure techniques have recently found extensive use in regression analysis for high dimensional data. This thesis attempts to examine and expand two of such methods, Partial Least Squares (PLS) regression and ... 
[20100209] Stable isotope sourcing using sampling
Stable isotope sourcing is used to estimate proportional contributions of sources to a mixture, such as in the analysis of animal diets, plant nutrient use, geochemistry, pollution, and forensics. We focus on animal ecology ... 
[20090709] Monte Carlo strategies for calibration in climate models
Intensive computational methods have been used by Earth scientists in a wide range of problems in data inversion and uncertainty quantification such as earthquake epicenter location and climate projections. To quantify the ... 
[20090708] Nonparametric estimation of first passage time distributions in flowgraph models
Statistical flowgraphs represent multistate semiMarkov processes using integral transforms of transition time distributions between adjacent states; these are combined algebraically and inverted to derive parametric ...