Statistics and Probability Commons^™

Approximation Dynamics, Ethan Akin

Mathematics and Statistics Faculty Research & Creative Works

We describe the approximation of a continuous dynamical system on a p.l. manifold or Cantor set by a tractable system. A system is tractable when it has a finite number of chain components and, with respect to a given full background measure, almost every point is generic for one of a finite number of ergodic invariant measures. The approximations we use are non-degenerate simplicial dynamical systems for p.l. manifolds and shift-like dynamical systems for Cantor Sets.

Seasonal Time Series Models With Application To Weather And Lake Level Data, Mengqing Qin

Graduate Theses/Dissertations

This work studies seasonal time series models with application to lake level and weather data. The thesis includes related time series concepts, integrated autoregressive moving average models (abbreviated as ARIMA), parameter estimation, model diagnostics, and forecasting. The studied time series models are applied to the data of daily lake level in Beaver Lake (1988-2017) and the data of daily maximum temperature in New York Central Park (1870-2017). Due to seasonality of the data, three different approaches are proposed to the modeling: regression method, functional ARIMA method and multiplicative seasonal ARIMA method. The forecasted values of the year 2018 are compared …

Δscope: A New Method To Quantify 3d Biological Structures And Identify Differences In Zebrafish Forebrain Development, Morgan S. Schwartz, Jake Schnabl, Mackenzie P.H. Litz, Benjamin Baumer, Michael Barresi

Biological Sciences: Faculty Publications

Research in the life sciences has traditionally relied on the analysis of clear morphological phenotypes, which are often revealed using increasingly powerful microscopy techniques analyzed as maximum intensity projections (MIPs). However, as biology turns towards the analysis of more subtle phenotypes, MIPs and qualitative approaches are failing to adequately describe these phenotypes. To address these limitations and quantitatively analyze the three-dimensional (3D) spatial relationships of biological structures, we developed the computational method and program called ∆SCOPE (Changes in Spatial Cylindrical Coordinate Orientation using PCA Examination). Our approach uses the fluorescent signal distribution within a 3D data set and reorients the …

Statistical Methods For Estimating And Testing Treatment Effect For Multiple Treatment Groups In Observational Studies., Xiaofang Yan

Electronic Theses and Dissertations

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Evaluation Of Modern Missing Data Handling Methods For Coefficient Alpha, Katerina Matysova

College of Education and Human Sciences: Dissertations, Theses, and Student Research

When assessing a certain characteristic or trait using a multiple item measure, quality of that measure can be assessed by examining the reliability. To avoid multiple time points, reliability can be represented by internal consistency, which is most commonly calculated using Cronbach’s coefficient alpha. Almost every time human participants are involved in research, there is missing data involved. Missing data means that even though complete data were expected to be collected, some data are missing. Missing data can follow different patterns as well as be the result of different mechanisms. One traditional way to deal with missing data is listwise …

A Simulation Study On The Size And Power Properties Of Some Ridge Regression Tests, B. M. Golam Kibria, Shipra Banik

Applications and Applied Mathematics: An International Journal (AAM)

Ridge regression techniques have been extensively used to solve the multicollinearity problem for both linear and non-linear regression models since its inception. This paper studied different ridge regression t-type tests of the individual coefficients of a linear regression model. A simulation study has been conducted to evaluate the performance of the proposed tests with respect to their sizes and powers under different settings of the linear regression model. Our simulation results demonstrated that most of the proposed tests have sizes close to the 5% nominal level and all tests except tAKS, tkM2 and tkM9 have considerable gain in powers over …

Series Of Divergence Measures Of Type K, Information Inequalities And Particular Cases, R. N. Saraswat, Ajay Tak

Applications and Applied Mathematics: An International Journal (AAM)

Information and Divergence measures deals with the study of problems concerning information processing, information storage, information retrieval and decision making. The purpose of this paper is to find a new series of divergence measures and their applications, discuss the mathematical tools for finding convexity of the functions. Applications of convex functions in information theory, relationship between new and well-known divergence measures are discussed. Also some new bounds have been established for divergence measures using new f divergence measures and its properties.

Communications And Methodologies In Crime Geography: Contemporary Approaches To Disseminating Criminal Incidence And Research, Mitchell Ogden

Electronic Theses and Dissertations

Many tools exist to assist law enforcement agencies in mitigating criminal activity. For centuries, academics used statistics in the study of crime and criminals, and more recently, police departments make use of spatial statistics and geographic information systems in that pursuit. Clustering and hot spot methods of analysis are popular in this application for their relative simplicity of interpretation and ease of process. With recent advancements in geospatial technology, it is easier than ever to publicly share data through visual communication tools like web applications and dashboards. Sharing data and results of analyses boosts transparency and the public image of …

Function Space Tensor Decomposition And Its Application In Sports Analytics, Justin Reising

Electronic Theses and Dissertations

Recent advancements in sports information and technology systems have ushered in a new age of applications of both supervised and unsupervised analytical techniques in the sports domain. These automated systems capture large volumes of data points about competitors during live competition. As a result, multi-relational analyses are gaining popularity in the field of Sports Analytics. We review two case studies of dimensionality reduction with Principal Component Analysis and latent factor analysis with Non-Negative Matrix Factorization applied in sports. Also, we provide a review of a framework for extending these techniques for higher order data structures. The primary scope of this …

A Signature Enrichment Design With Bayesian Adaptive Randomization For Cancer Clinical Trials, Fang Xia

Dissertations and Theses (Open Access)

Clinical trials in the era of precision medicine demand more flexible and efficient trial designs. Adaptive clinical trial designs allow pre-specified modifications of an on-going clinical trial and could shorten the trial duration. We reviewed five common types of adaptive clinical trials based on adaptation methods. In particular, outcome-randomization becomes more popular as it can assign more patients to the promising treatments based on the accumulated trial data. This data-driven allocation allows more patients to benefit from the trial, which is especially important for cancer patients. We compared different Bayesian outcome-adaptive randomization methods and discussed them from both methodological and …

Detecting Differentially Co-Expressed Gene Modules Via The Edge-Count Test, Anne Gratius Lin

Graduate Theses and Dissertations

Background

Gene expression profiling by microarray has been used to uncover molecular variations in many different diseases. Complementary to conventional differential expression analysis, differential co-expression analysis can identify gene markers from the systematic and granular level. There are three aspects for differential co-expression network analysis, including the network global topological comparison, differential co-expression cluster identification, and differential co-expressed genes and gene pair identification. To date, most of the methods available still rely on Pearson’s correlation coefficient despite its nonlinear insensitivity.

Results

Here we present an approach that is robust to nonlinearity by using the edge-count test for differential co-expression analysis. …

Evaluation Of Relationship Between Lead-Dust Loading, Lead-Dust Concentration, And Total Dust Loading Metrics Across Multiple Data Sets, Charles Bevington

Capstone Experience: Master of Public Health

Lead-dust monitoring studies report values as either lead-dust loadings µg/ft² or as lead-dust concentrations µg/g. It is rare for studies to report both metrics. When only lead-dust loading values are present, professionals require an approach to estimate lead-dust concentration values. A literature search identified five studies that contained raw data for both lead-dust loading and lead-dust concentration. An additional thirty-two studies had summary-statistics available for both lead-dust loading and lead-dust concentration. Studies with raw-data were used to develop an empirically-based loading to concentration statistical relationship. Raw data sets were critically evaluated to determine whether elimination or …

Using A Discrete Choice Experiment To Estimate Willingness To Pay For Location Based Housing Attributes, Kristopher C. Toll

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In 1993, a travel study was conducted along the Wasatch front in Utah (Research Systems Group INC, 2013). The main purpose of this study was to assess travel behavior to understand the needs for future growth in Utah. Since then, the Research Service Group (RSG), conducted a new study in 2012 to understand current travel preferences in Utah. This survey, called the Residential Choice Stated Preference survey, asked respondents to make ten choice comparisons between two hypothetical homes. Each home in the choice comparison was described by different attributes, those attributes that were used are, type of neighborhood, distance from …

Effect Of Self-Regulated Learning For Improving Dietary Management And Quality Of Life In Patients With Type-2 Diabetes Mellitus At Dr. Ramelan Naval Hospital, Surabaya, Indonesia, Yayuk Estuningsih, Thinni Nurul Rochmah, Merryana Andriani, Trias Mahmudiono

Kesmas

Self-regulated learning is a process of learning how to manage and regulate oneself to obtain skills and knowledge without depending on others. It is expected that diabetes patients can manage their diabetes by themselves. This study aimed to analyze the effect of self-regulated learning-based educational intervention on quality of life for patients with type-2 diabetes mellitus (DM) at Dr. Ramelan Naval Hospital, Surabaya. This was a quasi-experimental study in the form of pretest and posttest with a control group design. A total of 20 patients with DM were randomly divided into intervention and control groups to undergo a 4-week intervention. …

Maternal Knowledge, Attitude, And Practices About Traditional Food Feeding With Stunting And Wasting Of Toddlers In Farmer Families, Betty Yosephin Simanjuntak, Miratul Haya, Desri Suryani, Ali Khomsan, Che An Ahmad

Kesmas

Traditional foods are foods consumed by a certain ethnic group in a specific region. The habit of consuming traditional foods is usually inherited by the family members, including toddlers, of a respective generation. The study aimed to determine relationship of maternal knowledge, attitude, and practices in traditional food feeding with stunting and wasting of toddlers in the farmer families of the Central Bengkulu District. This study employed a cross-sectional design with a sample of mothers with children aged 12–59 months. The sample included a total of 115 farmer families. Data on nutritional knowledge, attitude, practices about traditional food, sex of …

Overweight And Obesity Status With Dental Caries Among Children Aged 7–12 Years Old In Badung District, Bali 2018, Hariani Rafitha, Putri Bungsu Machmud, Ratna Djuwita, Dwi Gayatri, Fakhrana Ariani Ayub

Kesmas

Dental caries is an infectious disease that Dental is characterized by the dental damage resulting from microorganism products in carbohydrate fermentation. Dental caries and obesity in children are multifactorial diseases associated with eating habits and certain lifestyle factors. This study aimed to assess the association between overweightness, obesity, and dental caries among children aged 7–12 years in Badung district, Bali province in 2018. The total sample of 426 children and their mothers were recruited from all first to fifth elementary grade students in three schools selected by simple random sampling. The logistic regression analysis has demonstrated a significant association between …

Personal Exposure Of Traffic Policeman To Particulate Matter In Jakarta: Distribution Of Size, Chemical Composition, And Work Time, Doni Hikmat Ramdhan, Eka Fitriani Ahmad, Fitri Kurniasari, Zuly Prima Rizky, Hardy Atmajaya, Muhayatun Santoso

Kesmas

Particulate matter (PM) is an air pollutant that has an impact on public health, especially in an urban area. The objective of this study was to analyze the personal concentration of PM2.5 and its composition among police working in the roadside area in Jakarta. PM measurement has done to the policeman that controlled traffic on four near highway locations in Jakarta. Sioutas impactor, Leland Legacy personal pump, and quartz fiber filter were chosen to measure the fine particles. Each PM was measured for 8-hour period. PM concentration was analyzed by the gravimetric method while tracing element and black carbon in …

Users’ Perception Of The Hospital Information System In A Maternity Hospital In Lampung, Indonesia, Al Asyary, Arief Kurniawan Nur Prasetyo, Tris Eryando, Solvay Gerke

Kesmas

Hospital information systems (HIS) have been applied on a massive scale; however, user evaluation of their effectiveness, efficiency, and service quality improvements remain rare. This study aimed to describe the utility of information systems from the users’ point of view by using the Technology Acceptance Model (TAM) in a maternity hospital in Lampung, Indonesia. The study provided an overview of the features of the information system and the workflow of the user through this information system. Screenshots were taken by using Camtasia Studio 2.0 Trial Version application software for one day (two shifts) in the outpatient service. The HIS generally …

Knowledge, Attitude, Practices, And Health Beliefs Of Pregnant Women About Urinary Tract Infection And Its Associated Risk Factors: A Local Filipino Community Experience, Annalyn Navarro, Raphael Enrique Tiongco, Reynaldo Bundalian Jr.

Kesmas

Urinary tract infection (UTI) during pregnancy is assumed to be associated with increased maternal and fetal morbidity and mortality; hence, a proper assessment of knowledge and practices is crucial to formulate preventive strategies to ensure the health of both the mother and the baby. The study determined the knowledge, attitude, practices (KAP), and the beliefs of pregnant women about UTI based on the Health Belief Model. A survey questionnaire was used to gather data from pregnant women with and without UTI. The association of the pregnant women’s sociodemographic characteristics with their KAP and health beliefs was determined using Pearson’s chi-square …

Midwife’S Role In The Mother-To-Child Transmission Prevention Program In Primary Health Care In Yogyakarta, Niken Meilani, Nanik Setiyawati, Sammy Onyapidi Barasa

Kesmas

Curing and eradicating Human Immunodeficiency Virus (HIV)/Acquired Immunodeficiency Syndrome (AIDS) are to the core principles of the United Nations’ Sustainable Development Goals (SDGs). The incidence of HIV in the world remains high. Although midwives play a pivotal role in PMTCT implementation, the factors associated with midwives’ role in its implementation are not well understood. The aim of this study was to determine factors associated with midwives’ role in implementation of PMTCT. This study used a cross-sectional design. The subjects were 80 midwives at 14 primary health care in Yogyakarta City, Indonesia. The study was conducted from April to August 2017. …

Sexual Dysfunction Among Women With Diabetes In A Primary Health Care At Semarang, Central Java Province, Indonesia, Lintang Dian Saraswati, Ari Udiyono, Dian Sutrisni, Muh Fauzi

Kesmas

Sexual dysfunction is associated with pain during sexual intercourse. Diabetes mellitus (DM) has been reported to be one of the causal factors for sexual dysfunction in women. This cross-sectional study was conducted to describe the status of sexual dysfunction in women with DM in the Tlogosari Kulon Primary Health Care, Semarang, Indonesia, in March 2017. A total of 103 women with DM attending the health center participated in this study. Data were collected using a questionnaire-guided interview and through measurements (blood pressure and random blood glucose test). Results showed that 74.8% of women with DM had sexual dysfunction. The proportion …

Trends And Disparities In Self-Reported And Measured Osteoporosis Among Us Adults, 2007-2014., Qing Wu, Yingke Xu, Ge Lin

Environmental & Global Health Faculty Research

(1) Background: Studies examining osteoporosis trends among US adults by different socioeconomic status (SES) are limited. The prevalence of self-reported osteoporosis in the US is rarely reported. (2) Methods: Data from the National Health and Nutritional Examination Survey (NHANES) between 2007–2008 and 2013–2014 cycles were analyzed. Age-adjusted prevalence of self-reported and that of measured osteoporosis were calculated overall and by sex, race/ethnicity, education attainment, and SES. (3) Results: The prevalence of self-reported osteoporosis was higher than that of measured osteoporosis in all three survey cycles for women, and in 2007–2008 and 2009–2010 for men. Participants with high school/GED or higher …

Biological And Practical Implications Of Genome-Wide Association Study Of Schizophrenia Using Bayesian Variable Selection, Benazir Rowe, Xiangning Chen, Zuoheng Wang, Jingchun Chen, Amei Amei

School of Medicine Faculty Research

Genome-wide association studies (GWAS) have identified over 100 loci associated with schizophrenia. Most of these studies test genetic variants for association one at a time. In this study, we performed GWAS of the molecular genetics of schizophrenia (MGS) dataset with 5334 subjects using multivariate Bayesian variable selection (BVS) method Posterior Inference via Model Averaging and Subset Selection (piMASS) and compared our results with the previous univariate analysis of the MGS dataset. We showed that piMASS can improve the power of detecting schizophrenia-associated SNPs, potentially leading to new discoveries from existing data without increasing the sample size. We tested SNPs in …

Habitat Associations And Reproduction Of Fishes On The Northwestern Gulf Of Mexico Shelf Edge, Elizabeth Marie Keller

LSU Doctoral Dissertations

Several of the northwestern Gulf of Mexico (GOM) shelf-edge banks provide critical hard bottom habitat for coral and fish communities, supporting a wide diversity of ecologically and economically important species. These sites may be fish aggregation and spawning sites and provide important habitat for fish growth and reproduction. Already designated as habitat areas of particular concern, many of these banks are also under consideration for inclusion in the expansion of the Flower Garden Banks National Marine Sanctuary. This project aimed to gain a more comprehensive understanding of the communities and fish species on shelf-edge banks by way of gonad histology, …

Economic Design Of Acceptance Sampling Plans For Truncated Life Tests Using Three-Parameter Lindley Distribution, Amer Ibrahim Al-Omari, Enrico Ciavolino, Amjad D. Al-Nasser

Journal of Modern Applied Statistical Methods

A single acceptance sampling plan for the three-parameter Lindley distribution under a truncated life test is developed. For various consumer’s confidence levels, acceptance numbers, and values of the ratio of the experimental time to the specified average lifetime, the minimum sample size important to assert a certain average lifetime are calculated. The operating characteristic (OC) function values as well as the associated producer’s risks are also provided. A numerical example is presented to illustrate the suggested acceptance sampling plans.

The Graphs That Have Antivoltages Using Groups Of Small Order, Vaidy Sivaraman, Dan Slilaty

Mathematics and Statistics Faculty Publications

Given a group Γ of order at most six, we characterize the graphs that have Γ-antivoltages and also determine the list of minor-minimal graphs that have no Γ-antivoltage. Our characterizations yield polynomial-time recognition algorithms for such graphs.

A Multi-Step Approach To Modeling The 24-Hour Daily Profiles Of Electricity Load Using Daily Splines, Abdelmonaem Jornaz, V. A. Samaranayake

Mathematics and Statistics Faculty Research & Creative Works

Forecasting of real-time electricity load has been an important research topic over many years. Electricity load is driven by many factors, including economic conditions and weather. Furthermore, the demand for electricity varies with time, with different hours of the day and different days of the week having an effect on the load. This paper proposes a hybrid load-forecasting method that combines classical time series formulations with cubic splines to model electricity load. It is shown that this approach produces a model capable of making short-term forecasts with reasonable accuracy. In contrast to forecasting models that utilize a multitude of regressor …

"Big Ideas" In Secondary Mathematics Education Programs, Eryn Stehr, Hyunyi Jung, Jill Newton

Mathematical and Statistical Science Faculty Research and Publications

Although research and policy documents provide recommendations to inform secondary mathematics teacher preparation, no single study has addressed the “big ideas” of courses in multiple programs and how those big ideas may be interpreted through the lens of recent research and policy documents. To answer this need, we focused on big ideas and course objectives from three courses (i.e., Linear Algebra, Secondary Mathematics Methods, and Teaching in a Diversity Society) taught in four secondary mathematics programs. Major themes emerged related to mathematical content, pedagogy, and issues of equity. We describe findings related to big ideas, course objectives, and their connections …

Reduced Bias For Respondent Driven Sampling: Accounting For Non-Uniform Edge Sampling Probabilities In People Who Inject Drugs In Mauritius, Miles Q. Ott, Krista J. Gile, Matthew T. Harrison, Lisa G. Johnston, Joseph W. Hogan

Statistical and Data Sciences: Faculty Publications

People who inject drugs are an important population to study in order to reduce transmission of blood-borne illnesses including HIV and Hepatitis. In this paper we estimate the HIV and Hepatitis C prevalence among people who inject drugs, as well as the proportion of people who inject drugs who are female in Mauritius. Respondent driven sampling (RDS), a widely adopted link-tracing sampling design used to collect samples from hard-to-reach human populations, was used to collect this sample. The random walk approximation underlying many common RDS estimators assumes that each social relation (edge) in the underlying social network has an equal …

Post-Acquisition Processing Confounds In Brain Volumetric Quantification Of White Matter Hyperintensities, Ahmed A. Bahrani, Omar M. Al-Janabi, Erin L. Abner, Shoshana H. Bardach, Richard J. Kryscio, Donna M. Wilcock, Charles D. Smith, Gregory A. Jicha

Neurology Faculty Publications

BACKGROUND: Disparate research sites using identical or near-identical magnetic resonance imaging (MRI) acquisition techniques often produce results that demonstrate significant variability regarding volumetric quantification of white matter hyperintensities (WMH) in the aging population. The sources of such variability have not previously been fully explored.

NEW METHOD: 3D FLAIR sequences from a group of randomly selected aged subjects were analyzed to identify sources-of-variability in post-acquisition processing that can be problematic when comparing WMH volumetric data across disparate sites. The methods developed focused on standardizing post-acquisition protocol processing methods to develop a protocol with less than 0.5% inter-rater variance.

RESULTS: A series …