Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

2001

Statistics and Probability

Institution
Keyword
Publication
Publication Type

Articles 1 - 30 of 84

Full-Text Articles in Physical Sciences and Mathematics

Anatomy And Three-Dimensional Reconstructions Of The Brain Of A Bottlenose Dolphin (Tursiops Truncatus) From Magnetic Resonance Images, Lori Marino, Keith D. Sudheimer, Timothy L. Murphy, Kristina K. Davis, D. Ann Pabst, William A. Mclellan, James K. Rilling, John I. Johnson Dec 2001

Anatomy And Three-Dimensional Reconstructions Of The Brain Of A Bottlenose Dolphin (Tursiops Truncatus) From Magnetic Resonance Images, Lori Marino, Keith D. Sudheimer, Timothy L. Murphy, Kristina K. Davis, D. Ann Pabst, William A. Mclellan, James K. Rilling, John I. Johnson

Veterinary Science and Medicine Collection

Cetacean (dolphin, whale, and porpoise) brains are among the least studied mammalian brains because of the formidability of collecting and histologically preparing such relatively rare and large specimens. Magnetic resonance imaging offers a means of observing the internal structure of the brain when traditional histological procedures are not practical. Furthermore, internal structures can be analyzed in their precise anatomic positions, which is difficult to accomplish after the spatial distortions often accompanying histological processing. In this study, images of the brain of an adult bottlenose dolphin, Tursiops truncatus, were scanned in the coronal plane at 148 antero-posterior levels. From these scans …


An Investigation Of The Rank Transformation In Multple Regression, Todd C. Headrick, Ourania Rotou Dec 2001

An Investigation Of The Rank Transformation In Multple Regression, Todd C. Headrick, Ourania Rotou

Todd Christopher Headrick

Real world data often fail to meet the underlying assumptions of normal statistical theory. The rank transformation (RT) procedure is recommended and used in the context of multiple regression analysis when the assumption of normality is violated. There is no general supporting theory of the RT. In view of this, the current study examined the Type I error and power properties of the RT in terms of multiple regression. The investigation included both additive and nonadditive models. Results indicated that there were severely inflated Type I error rates associated with the RT procedure under both normal and nonnormal distributions (e.g., …


Aging And The Public Health Impact Of Dementia, Ron Brookmeyer, Claudia Kawas Nov 2001

Aging And The Public Health Impact Of Dementia, Ron Brookmeyer, Claudia Kawas

Ron Brookmeyer

No abstract provided.


A Note On Visualizing Response Transformations In Regression, R. Dennis Cook, David J. Olive Nov 2001

A Note On Visualizing Response Transformations In Regression, R. Dennis Cook, David J. Olive

Articles and Preprints

A new graphical method for assessing parametric transformations of the response in linear regression is given. Simply regress the response variable Y on the predictors and find the fitted values. Then dynamically plot the transformed response Y(λ) against those fitted values by varying the transformation parameter λ until the plot is linear. The method can also be used to assess the success of numerical response transformation methods and to discover influential observations. Modifications using robust estimators can be used as well.


Marginal Regression Of Gaps Between Recurrent Events, Yijian Huang, Ying Qing Chen Nov 2001

Marginal Regression Of Gaps Between Recurrent Events, Yijian Huang, Ying Qing Chen

U.C. Berkeley Division of Biostatistics Working Paper Series

Recurrent event data typically exhibit the phenomenon of intra-individual correlation, owing to not only observed covariates but also random effects. In many applications, the population can be reasonably postulated as a heterogeneous mixture of individual renewal processes, and the inference of interest is the effect of individual-level covariates. In this article, we suggest and investigate a marginal proportional hazards model for gaps between recurrent events. A connection is established between observed gap times and clustered survival data, however, with informative cluster size. We then derive a novel and general inference procedure for the latter, based on a functional formulation of …


Student Fact Book, Fall 2001, Twenty-Fifth Annual Edition, Wright State University, Office Of Student Information Systems, Wright State University Oct 2001

Student Fact Book, Fall 2001, Twenty-Fifth Annual Edition, Wright State University, Office Of Student Information Systems, Wright State University

Wright State University Student Fact Books

The student fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 2001.


Student Fact Book, Fall 2001, Wright State University Lake Campus, Office Of Student Information Systems, Wright State University Oct 2001

Student Fact Book, Fall 2001, Wright State University Lake Campus, Office Of Student Information Systems, Wright State University

Wright State University Student Fact Books

The student fact book has general demographic information on all students enrolled at Wright State University Lake Campus for Fall Quarter, 2001.


Maximum Likelihood Estimation Of Ordered Multinomial Parameters, Nicholas P. Jewell, John D. Kalbfleisch Oct 2001

Maximum Likelihood Estimation Of Ordered Multinomial Parameters, Nicholas P. Jewell, John D. Kalbfleisch

U.C. Berkeley Division of Biostatistics Working Paper Series

The pool-adjacent violator-algorithm (Ayer, et al., 1955) has long been known to give the maximum likelihood estimator of a series of ordered binomial parameters, based on an independent observation from each distribution (see Barlow et al., 1972). This result has immediate application to estimation of a survival distribution based on current survival status at a set of monitoring times. This paper considers an extended problem of maximum likelihood estimation of a series of ‘ordered’ multinomial parameters. By making use of variants of the pool adjacent violator algorithm, we obtain a simple algorithm to compute the maximum likelihood estimator and demonstrate …


Parametric And Nonparametric Methods For Understanding The Relationship Between Carcinogen-Induced Dna Adduct Levels In Distal And Proximal Regions Of The Colon., Jeffrey S. Morris, Naisyin Wang, Joanne R. Lupton, Robert S. Chapkin, Nancy D. Turner, Mee-Young Hong, Raymond J. Carroll Sep 2001

Parametric And Nonparametric Methods For Understanding The Relationship Between Carcinogen-Induced Dna Adduct Levels In Distal And Proximal Regions Of The Colon., Jeffrey S. Morris, Naisyin Wang, Joanne R. Lupton, Robert S. Chapkin, Nancy D. Turner, Mee-Young Hong, Raymond J. Carroll

Jeffrey S. Morris

An important problem in studying the etiology of colon cancer is understanding the relationship between DNA adduct levels (broadly, DNA damage) in cells within colonic crypts in distal and proximal parts of the colon, following treatment with a carcinogen and different types of diet. In particular, it is important to understand whether rats who have elevated adduct levels in particular positions in distal region crypts also have elevated levels in the same positions of the crypts in proximal regions, and whether this relationship depends on diet. We cast this problem as estimating the correlation function of two responses as a …


Stochastic Functional Differential Equations On Manifolds, Rémi Léandre, Salah-Eldin A. Mohammed Sep 2001

Stochastic Functional Differential Equations On Manifolds, Rémi Léandre, Salah-Eldin A. Mohammed

Articles and Preprints

In this paper, we study stochastic functional differential equations (sfde's) whose solutions are constrained to live on a smooth compact Riemannian manifold. We prove the existence and uniqueness of solutions to such sfde's. We consider examples of geometrical sfde's and establish the smooth dependence of the solution on finite-dimensional parameters.


Theater-Level Stochastic Air-To-Air Engagement Modeling Via Event Occurrence Networks Using Piecewise Polynomial Approximation, David R. Denhard Sep 2001

Theater-Level Stochastic Air-To-Air Engagement Modeling Via Event Occurrence Networks Using Piecewise Polynomial Approximation, David R. Denhard

Theses and Dissertations

This dissertation investigates a stochastic network formulation termed an event occurrence network (EON). EONs are graphical representations of the superposition of several terminating counting processes. An EON arc represents the occurrence of an event from a group of (sequential) events before the occurrence of events from other event groupings. Events between groups occur independently, but events within a group occur sequentially. A set of arcs leaving a node is a set of competing events, which are probabilistically resolved by order relations. An important EON metric is the probability of being at a particular node or set of nodes at time …


Identification Of Regulatory Elements Using A Feature Selection Method, Sunduz Keles, Mark J. Van Der Laan, Michael B. Eisen Sep 2001

Identification Of Regulatory Elements Using A Feature Selection Method, Sunduz Keles, Mark J. Van Der Laan, Michael B. Eisen

U.C. Berkeley Division of Biostatistics Working Paper Series

Many methods have been described to identify regulatory motifs in the transcription control regions of genes that exhibit similar patterns of gene expression across a variety of experimental conditions. Here we focus on a single experimental condition, and utilize gene expression data to identify sequence motifs associated with genes that are activated under this experimental condition. We use a linear model with two way interactions to model gene expression as a function of sequence features (words) present in presumptive transcription control regions. The most relevant features are selected by a feature selection method called stepwise selection with monte carlo cross …


Control Of Error Rates In Adaptive Analysis Of Orthogonal Saturated Designs, Weizhen Wang, Daniel T. Voss Aug 2001

Control Of Error Rates In Adaptive Analysis Of Orthogonal Saturated Designs, Weizhen Wang, Daniel T. Voss

Mathematics and Statistics Faculty Publications

Individual and simultaneous confidence intervals using the data adaptively are constructed for the effects in orthogonal saturated designs under the assumption of effect sparsity. The minimum coverage probabilities of the intervals are equal to the nominal level 1 - α.


Empirical Spectral Analysis Of Random Number Generators, David Zeitler Aug 2001

Empirical Spectral Analysis Of Random Number Generators, David Zeitler

Dissertations

Computer simulation procedures have become a staple of research and development in many fields, including statistics. The generation of pseudo random number sequences is the core of computer simulation procedures. Validity of research results often depend on the underlying validity of the generator being used.

In this work we develop the machinery for a class of tests of spatial uniformity based on a multi-dimensional Fourier transform of the empirical probability density function. The test can be adapted to specific requirements and has the added advantage that it has computational complexity that is relatively independent of the number of data points …


Probing "Life Qualification" Through Expanded Voir Dire, John H. Blume, Sheri Lynn Johnson, A. Brian Threlkeld Jul 2001

Probing "Life Qualification" Through Expanded Voir Dire, John H. Blume, Sheri Lynn Johnson, A. Brian Threlkeld

Cornell Law Faculty Publications

The conventional wisdom is that most trials are won or lost in jury selection. If this is true, then in many capital cases, jury selection is literally a matter of life or death. Given these high stakes and Supreme Court case law setting out standards for voir dire in capital cases, one might expect a sophisticated and thoughtful process in which each side carefully considers which jurors would be best in the particular case. Instead, it turns out that voir dire in capital cases is woefully ineffective at the most elementary task--weeding out unqualified jurors.

Empirical evidence reveals that many …


Transforming Self-Rated Health And The Sf-36 Scales To Include Death And Improve Interpretability, Paula Diehr Jul 2001

Transforming Self-Rated Health And The Sf-36 Scales To Include Death And Improve Interpretability, Paula Diehr

Paula Diehr

BACKGROUND: Most measures of health-related quality of life are undefined for people who die. Longitudinal analyses are often limited to a healthier cohort (survivors) that cannot be identified prospectively, and that may have had little change in health. OBJECTIVE: To develop and evaluate methods to transform a single self-rated health item (excellent to poor; EVGGFP) and the physical component score of the SF-36 (PCS) to new variables that include a defensible value for death. METHODS: Using longitudinal data from two large studies of older adults, health variables were transformed to the probability of being healthy in the future, conditional on …


Statistical Inference For Simultaneous Clustering Of Gene Expression Data, Katherine S. Pollard, Mark J. Van Der Laan Jul 2001

Statistical Inference For Simultaneous Clustering Of Gene Expression Data, Katherine S. Pollard, Mark J. Van Der Laan

U.C. Berkeley Division of Biostatistics Working Paper Series

Current methods for analysis of gene expression data are mostly based on clustering and classification of either genes or samples. We offer support for the idea that more complex patterns can be identified in the data if genes and samples are considered simultaneously. We formalize the approach and propose a statistical framework for two-way clustering. A simultaneous clustering parameter is defined as a function of the true data generating distribution, and an estimate is obtained by applying this function to the empirical distribution. We illustrate that a wide range of clustering procedures, including generalized hierarchical methods, can be defined as …


Hierarchical Modeling For Integrated Environmental Assessments, Raymond O'Connor, Deidre Mageean Jun 2001

Hierarchical Modeling For Integrated Environmental Assessments, Raymond O'Connor, Deidre Mageean

University of Maine Office of Research Administration: Grant Reports

The distribution of biotic resources over large spatial extents is often a function of climate, of land-use, and of the demographics of the human population but these different classes of independent variables have different spatial scales for their action. One approach to the integration of these effects across scales is to use hierarchical models that incorporate contingencies and constraints in effects. This project seeks to develop such a modeling paradigm by use of classification and regression trees (CART). The hexagonal grid of the U.S. Environmental Protection Agency's Environmental Monitoring and Assessment Program is used as the spatial grid, with about …


Forecasting Life And Death: Juror Race, Religion, And Attitude Toward The Death Penalty, Theodore Eisenberg, Stephen P. Garvey, Martin T. Wells Jun 2001

Forecasting Life And Death: Juror Race, Religion, And Attitude Toward The Death Penalty, Theodore Eisenberg, Stephen P. Garvey, Martin T. Wells

Cornell Law Faculty Publications

Determining whether race, sex, or other juror characteristics influence how capital case jurors vote is difficult. Jurors tend to vote for death in more egregious cases and for life in less egregious cases no matter what their own characteristics. And a juror's personal characteristics may get lost in the process of deliberation because the final verdict reflects the jury's will, not the individual juror's. Controlling for the facts likely to influence a juror's verdict helps to isolate the influence of a juror's personal characteristics. Examining each juror's first sentencing vote reveals her own judgment before the majority works its will. …


Optimum Bonding Time Of Four Different Curing Lights, Nathan Don Cotten Jun 2001

Optimum Bonding Time Of Four Different Curing Lights, Nathan Don Cotten

Loma Linda University Electronic Theses, Dissertations & Projects

With the development of new high-intensity curing lights, the time required to bond orthodontic brackets is steadily decreasing. The objective of this study was to determine the optimum curing time for bonding orthodontic brackets using four different visible curing lights (Standard Optilux 501, High Intensity Optilux 501 with Turbo Tip, Virtuoso Plasma Arc, and ESPE LED light). This study also tested the new generation of light emitting diode (LED) lights to determine if they can be used for bonding orthodontic brackets. Three hundred freshly extracted bovine teeth were mounted in acrylic resin and divided into 20 groups of 15 teeth …


The Differential Impact Of Sexism In Latino Men And Women’S Psychiatric Symptoms, Astrid Magalij Reina-Patton Jun 2001

The Differential Impact Of Sexism In Latino Men And Women’S Psychiatric Symptoms, Astrid Magalij Reina-Patton

Loma Linda University Electronic Theses, Dissertations & Projects

The study assessed the reliability of the Spanish and English versions of the Schedule of Sexist Events General Form (SSE-G). The extent to which Spanish and English-speaking men and women differed in their responses on the SSE-G was investigated, as was the degree to which men and women differed in their report of psychiatric symptoms. Further, the extent to which the SSE-G predicted psychiatric symptomology for Spanish and English-speaking men and women was assessed, as was the extent to which sexism (i.e., gender-specific stress) accounted for additional variance in symptoms, above and beyond that accounted for by acculturation, language, and …


Generalized Minimum Penalized Hellinger Distance Estimation And Generalized Penalized Hellinger Deviance Testing For Generalized Linear Models: The Discrete Case, Huey Yan May 2001

Generalized Minimum Penalized Hellinger Distance Estimation And Generalized Penalized Hellinger Deviance Testing For Generalized Linear Models: The Discrete Case, Huey Yan

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In this dissertation, robust and efficient alternatives to quasi-likelihood estimation and likelihood ratio tests are developed for discrete generalized linear models. The estimation method considered is a penalized minimum Hellinger distance procedure that generalizes a procedure developed by Harris and Basu for estimating parameters of a single discrete probability distribution from a random sample. A bootstrap algorithm is proposed to select the weight of the penalty term. Simulations are carried out to compare the new estimators with quasi-likelihood estimation. The robustness of the estimation procedure is demonstrated by simulation work and by Hapel's α-influence curve. Penalized minimum Hellinger deviance tests …


Detection Of Changes In Financial Time Series, Rich Madsen May 2001

Detection Of Changes In Financial Time Series, Rich Madsen

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The purpose of this paper is to examine and model data from several years of foreign currency trading, to determine if one or more change points has occured in the data, and to estimate when those change points took place. Leading up to the analysis of the data we will construct and develop several statistics which we will use to determine if a change point has occured.

This paper falls into the area of computational statistics and will make use of Splus and the S+GARCH module within Splus. Heavy use will also be made of C++. The models that we …


Magnetic Resonance Imaging And Three-Dimensional Reconstructions Of The Brain Of A Fetal Common Dolphin, Delphinus Delphis, Lori Marino, Timothy L. Murphy, Lyad Gozal, John I. Johnson May 2001

Magnetic Resonance Imaging And Three-Dimensional Reconstructions Of The Brain Of A Fetal Common Dolphin, Delphinus Delphis, Lori Marino, Timothy L. Murphy, Lyad Gozal, John I. Johnson

Veterinary Science and Medicine Collection

To demonstrate the kinds of data that can be obtained non-destructively and non-invasively from preserved museum specimens using modern imaging technology the head region of a whole body fetal specimen of the common dolphin, Delphinus delphis, aged 8–9 months post-conception, was scanned using Magnetic Resonance Imaging (MRI). Series of scans were obtained in coronal, sagittal and horizontal planes. A digital three-dimensional reconstruction of the whole brain was prepared from the coronal series of scans. Sectional areas and three-dimensional volumes were obtained of the cerebral hemispheres and of the brainstemplus-cerebellum. Neuroanatomical features identified in the scans include the major sulci of …


Another Look At Clark's Adit-Silver Series, David W. Meek Apr 2001

Another Look At Clark's Adit-Silver Series, David W. Meek

Conference on Applied Statistics in Agriculture

The empirical semivariogram for Clark's adit-silver series has been the subject of several publications. Its use in the literature along with some other discussed considerations makes this series a suitable selection for a classroom or workshop semivariogram modeling exercise. My emphasis in this exercise is on estimating the scale of fluctuation (8). Alternative unbounded, bounded asymptotic, and bounded transitional models are developed via weighted least-squares estimation for both regular and integral semivariogram parameterizations (ISV). Results are compared with Clark's recommendation along with some other traditional models, nonparametric models, and ad hoc numerical methods. When a given model fits well using …


An Uncertainty Analysis Procedure For Spatially Joint Simulations Of Multiple Attributes, Shoufan Fang, Guangxing Wang, George Z. Gertner, Alan Anderson Apr 2001

An Uncertainty Analysis Procedure For Spatially Joint Simulations Of Multiple Attributes, Shoufan Fang, Guangxing Wang, George Z. Gertner, Alan Anderson

Conference on Applied Statistics in Agriculture

In this study, an uncertainty analysis procedure for joint sequential simulation of multiple attributes of spatially explicit models was developed based on regression analysis. This procedure utilizes information obtained from joint sequential simulation to establish the relationship between model uncertainty and variation of model inputs. Using this procedure, model variance can be partitioned by model input parameters on a pixel by pixel basis. In the partitioning, the correlation of neighboring pixels is accounted for. With traditional uncertainty analysis methods, this is not possible. In a case study, spatial variation of soil erodibility from a joint sequential simulation of soil properties …


Comparison Of Sas Proc Nlin And Nlmixed For Parameter Estimation In Pet Model, Y. Xie, A. M. Parkhurst, T. L. Mader, J. B. Gaughan Apr 2001

Comparison Of Sas Proc Nlin And Nlmixed For Parameter Estimation In Pet Model, Y. Xie, A. M. Parkhurst, T. L. Mader, J. B. Gaughan

Conference on Applied Statistics in Agriculture

Cattle body temperatures were measured under semi-controlled hot cyclic chamber temperatures. The four-parameter nonlinear PET model, is used to estimate body temperature in cattle challenged by heat stress. For each steer, the parameters can be estimated by the Nlin procedure and the sensitivity of each animal can be studied. It is also desirable to generalize the results by using the Nlmixed procedure to combine both the fixed and random effects. When comparing the results from the two procedures, we found heterogeneity among animals and/or days caused convergence problems for proc Nlmixed. Simulation studies were used to study how deviations from …


Developing System For Auditing The Database Of Agricultural Trial, Olga Susana Filippini De Delfino, Ana Aguua, Hugo Delfino Apr 2001

Developing System For Auditing The Database Of Agricultural Trial, Olga Susana Filippini De Delfino, Ana Aguua, Hugo Delfino

Conference on Applied Statistics in Agriculture

Many steps are involved in getting data from an experimental unit of an agricultural trial into a final report. Each step may introduce a great variety of errors. Building quality into systems is much more productive than building checks onto the end. Poor quality database have effects on final study results in terms of estimation, significance testing and power; but auditing agricultural trial is a complex process designed to ensure that it will provide a reliable answer to the question being posed. By introducing digit errors into database in a tomato assay, with small sample size, we demonstrate that simple …


Assessing Refinements In Modeling Sinusoidal Conditions Used To Drive Cattle Body Temperatures, Sheng Feng, Anne Parkhurst, Kent Eskridge, Daryl Travnicek, Donald Spiers, G. L. Hahn, Terry Mader Apr 2001

Assessing Refinements In Modeling Sinusoidal Conditions Used To Drive Cattle Body Temperatures, Sheng Feng, Anne Parkhurst, Kent Eskridge, Daryl Travnicek, Donald Spiers, G. L. Hahn, Terry Mader

Conference on Applied Statistics in Agriculture

A model, termed the PET model, is used to estimate body temperature in cattle challenged by hot cyclic chamber temperatures. The model is based on Newton's law of cooling, driven by an estimated sinusoidal function. In practice, it is often difficult to maintain hot sinusoidal fluctuations in chamber temperatures. However, it is possible to model cyclic chamber temperatures using a discrete Fourier series. By increasing the precision in estimating the cyclic temperature driving function, we can more precisely estimate the parameters in the PET model. Simulation studies were performed to investigate the effect of under- and over-parameterization on accuracy of …


Predicting Soybean Weight Per Pod, Timothy P. Keller, Michael Schmidt, Catherine Schmidt Apr 2001

Predicting Soybean Weight Per Pod, Timothy P. Keller, Michael Schmidt, Catherine Schmidt

Conference on Applied Statistics in Agriculture

The National Agricultural Statistics Service (NASS) makes predictions of soybean yield at both the state and national level. Experience indicates that the key to improving yield predictions is improving the prediction of soybean weight pod. Towards this end, NASS has entered into a three year cooperative agreement with the Department of Plant, Soil and General Agriculture at Southern lllinois University at Carbondale (SID-C) to investigate predictive models for soybean weight per pod based on a measurement of pod width and a count of the number of seeds per pod. Aside from the scientific issues involved in this effort, the practical …