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  • Testing equality of two regressions

    Creator:
    Pugh, James Donald
    Abstract:
    This thesis addresses the problem of deciding whether or not two disjoint random samples that are fitted by the same regression equation emanate from the same parental population. Two situations are considered. The first situation is where the two disjoint samples are individually fitted with the regression equation. The second...
    Resource Type:
    Masters Thesis
    Full Text:
    )* is distribu- That is, the quadratic form has a non -central chi- square distribution with p

  • Analysis of binary data in the presence of non-Bernoulli sources of variation

    Creator:
    Sands, Bradley Roy
    Abstract:
    A quantal response model, more general than the usual logistic model, is introduced. This model takes into account sources of variability, or experimental error, other than that arising from variability in response between individual organisms (or other objects on test). It is assumed that this extra source of variation is...
    Resource Type:
    Dissertation
    Full Text:
    Chi-Squared Estimator 42 "Y" Estimators 45 V. ASYMPTOTIC PROPERTIES 48 Notation 48 Conditions 50

  • Construction of Anomaly Scores and Probabilities using Random Sampling : A New Score, Efficient Computation, and Threshold Selection.

    Creator:
    Zongo, Kalbi F.
    Abstract:
    Anomaly detection is the task of identifying observations (points) that differ from the majority of other points, which requires some measure of difference, or distance. Many anomaly detection methods rely on “implicit distance” measures: rather than directly calculating an explicitly defined distance, these approaches quantify a point’s “abnormality” by examining...
    Resource Type:
    Dissertation

  • Inference procedures for pairs of distributions with proportional failure rate functions

    Creator:
    McRae, Kenneth Bruce
    Abstract:
    Some nonparametric maximum likelihood estimation procedures are developed for the class of pairs of distributions which have proportional failure rate functions. Special consideration is given to the case in which the shape of the failure rate functions are assumed to be either increasing or decreasing. Estimators of the proportionality constant,...
    Resource Type:
    Dissertation
    Full Text:
    general methods of estimation, such as maxi- mum likelihood or minimum chi-square, may be interpreted as

  • An empirical evaluation of parameter approximation methods for phase-type distributions

    Creator:
    Lang, Andreas
    Resource Type:
    Dissertation
    Full Text:
    vector. Moreover, since Q is an infinitesimal generator, Te' 4= 0', where 0' is a m x 1 column vector of

  • An atom approach to assessing the outlier properties of probability models

    Creator:
    Hanlen, Richard C.
    Abstract:
    This thesis is concerned with the problem of developing a method to categorize probability models by their outlier properties. There have been two such categorization methods proposed in the literature. Neyman and Scott (1971) classify an entire family of distributions into the outlier properties outlier-prone completely (OPC) and outlier resistant....
    Resource Type:
    Dissertation
    Full Text:
    and all E < EG, 1 - G(x + te) > 1 - G(x + te G) > yGt (1 - G(x)). From Theorem 2.1.i), F is AOR

  • Higher-level Analysis of RNA-Seq Experiment: Multiple Data Sets and Multiple Genes

    Creator:
    Zhuo, Bin
    Abstract:
    Differential expression (DE) analysis is a key task in gene expression study, because it uncovers the association between expression levels of a gene and the covariates of interest. This dissertation pertains to two particular aspects of DE analysis—identifying stably expressed genes for count normalization and accounting for correlation between DE...
    Resource Type:
    Dissertation

  • Statistical analysis of RNA sequencing count data

    Creator:
    Mi, Gu
    Abstract:
    RNA-Sequencing (RNA-Seq) has rapidly become the de facto technique in transcriptome studies. However, established statistical methods for analyzing experimental and observational microarray studies need to be revised or completely re-invented to accommodate RNA-Seq data's unique characteristics. In this dissertation, we focus on statistical analyses performed at two particular stages in...
    Resource Type:
    Dissertation

  • Statistical hypothesis testing for monotonic trends and compositional reduced rank regression for microbiome data analysis

    Creator:
    Hu, Chenxiao
    Abstract:
    The recent advent of large-scale microbiome studies enabled by high-throughput sequencing calls for innovative statistical methodologies that are capable of tackling a myriad of challenges presented by microbiome data. Compelled by this need, we focus on the development of statistical tools for two types of problems that arise in microbiome...
    Resource Type:
    Dissertation
    Full Text:
    Cochran-Armitage test[15, 6] is a modification of the Pearson Chi-square test to detect association among

  • Propensity score methodology for nonignorable nonresponse

    Creator:
    Starcevich, Leigh Ann H.
    Abstract:
    When data are not missing at random, approaches to reduce nonresponse bias include subsampling nonresponding units and modeling. The objective of this thesis is to develop unbiased and precise model-assisted estimators of the population total that are applicable to data from a complex survey design with nonignorable nonresponse. When information...
    Resource Type:
    Dissertation
    Full Text:
    .......................................................................................... 104 Table 4.5: Pearson chi-square tests of association for indicators of response and success