Statistics and Probability Commons^™

Improving Shewhart Control Chart Performance In The Presence Of Measurement Error Using Multiple Measurements And Two-Stage Sampling, Kenneth W. Linna

Journal of International & Interdisciplinary Business Research (2014-2019)

The usual Shewhart control chart efficiently detects large shifts in the mean of a quality characteristic and has been extensively studied in the literature. Most proposed alternatives to the Shewhart chart aim to improve either the signal performance for smaller mean shifts or reduce the sampling effort required to detect a larger shift. Measurement error has been shown in the literature to result in reduced power to detect process shifts. The combination of multiple measurements and two-stage sampling is considered here as a strategy for both regaining power lost due to measurement error and specifically tuning the charts for shifts …

A Qualitative Study Examining The Benefits And Challenges Of Incorporating Patient-Reported Outcome Substance Use And Mental Health Questionnaires Into Clinical Practice To Improve Outcomes On The Hiv Care Continuum., Anne K Monroe, Sarah M Jabour, Sebastian Peña, Jeanne C Keruly, Richard D Moore, Geetanjali Chander, Kristin A Riekert

Epidemiology Faculty Publications

BACKGROUND: Inadequate identification and treatment of substance use (SU) and mental health (MH) disorders hinders retention in HIV care. The objective of this study was to elicit stakeholder input on integration of SU/MH screening using computer-assisted patient-reported outcomes (PROs) into clinical practice.

METHODS: We conducted semi-structured interviews with HIV-positive patients who self-reported SU/MH symptoms on a computer-assisted PROs (n = 19) and HIV primary care providers (n = 11) recruited from an urban academic HIV clinic. Interviews were audio-recorded and transcribed. We iteratively developed codes and organized key themes using editing style analysis.

RESULTS: Two themes emerged: (1) Honest Disclosure: …

Estimation Of Zero-Inflated Population Mean: A Bootstrapping Approach, Khyam Paneru, R. Noah Padgett, Hanfeng Chen

Journal of Modern Applied Statistical Methods

A mixture model was adopted from the maximum pseudo-likelihood approach under complex sampling designs to estimate the mean of zero-inflated population. To overcome the complexity and assumptions of asymptotic distribution, the maximum pseudo-likelihood function was used, but a bootstrapping procedure was proposed as an alternative. Bootstrap confidence intervals consistently capture the true means of zero-inflated populations of the simulation studies.

Moment Generating Functions Of Complementary Exponential-Geometric Distribution Based On K-Th Lower Record Values, Devendra Kumar, Sanku Dey, Mansoor Rashid Malik, Fahad M. Al-Aboud

Journal of Modern Applied Statistical Methods

The complementary exponential-geometric (CEG) distribution is a useful model for analyzing lifetime data. For this distribution, some recurrence relations satisfied by marginal and joint moment generating functions of k-th lower record values were established. They enable the computation of the means, variances, and covariances of k-th lower record values for all sample sizes in a simple and efficient recursive manner. Means, variances, and covariances of lower record values were tabulated from samples of sizes up to 10 for various values of the parameters.

Optimal Model Selection For Truncated Data Among Non-Nested Competitive Models, Parisa Torkaman

Journal of Modern Applied Statistical Methods

Selecting a model for incomplete data is an important issue. Truncated data is an example of incomplete data, which sometimes occurs due to inherent limitations. The maximum likelihood estimator features and its asymptotic distribution are studied, and a test statistic among non-nested competitive model of incomplete data is presented, which can select an appropriate model close to the true model. This close-to-true model under the null hypothesis of the equivalency of two competitive models against alternative hypothesis is selected.

Letter To The Editor: Regarding A Possible Non-Null Interpretation Of The Michelson-Morley Experiment, Maurizio Consoli

Journal of Modern Applied Statistical Methods

The author writes in response to Sawilowsky in JMASM 2(2) and 4(1).

The Transmuted Exponentiated Additive Weibull Distribution: Properties And Applications, Zohdy M. Nofal, Ahmed Z. Afify, Haitham M. Yousof, Daniele Cristina Tita Granzotto, Francisco Louzada

Journal of Modern Applied Statistical Methods

A new generalization of the transmuted additive Weibull distribution is proposed by using the quadratic rank transmutation map, the so-called transmuted exponentiated additive Weibull distribution. It retains the characteristics of a good model. It is more flexible, being able to analyze more complex data; it includes twenty-seven sub-models as special cases and it is interpretable. Several mathematical properties of the new distribution as closed forms for ordinary and incomplete moments, quantiles, and moment generating function are presented, as well as the MLEs. The usefulness of the model is illustrated by using two real data sets.

Modeling Insurance Claims Using Flexible Skewed And Mixture Probability Distributions, Aaron J. Leinwander, Mohammad A. Aziz

Journal of Modern Applied Statistical Methods

The normal distribution comes as a first choice when fitting real data, but it may not be suitable if the assumed distribution deviates from normality. Flexible skewed distributions are capable of including skewness and taking into account multimodality. They may be applied to find appropriate distributions for describing the claim amounts in insurance. The objective is to model insurance claims using a set of flexible skewed and mixture probability distributions, and to test how well they fit the claims. Results indicate the skew-t distribution and alpha-skew Laplace distribution are able to describe unimodal claims accurately, whereas scale mixture of …

Single Missing Data Imputation In Pls-Based Structural Equation Modeling, Ned Kock

Journal of Modern Applied Statistical Methods

Missing data, a source of bias in structural equation modeling (SEM) employing the partial least squares method (PLS), are commonly handled with deletion methods such as listwise and pairwise deletion. Missing data imputation methods do not resort to deletion. Five single missing data imputation methods are considered employing the PLS Mode A algorithm of which two hierarchical methods are new. The results of a Monte Carlo experiment suggest that Multiple Regression Imputation yielded the least biased mean path coefficient estimates, followed by Arithmetic Mean Imputation. With respect to mean loading estimates, Arithmetic Mean Imputation yielded the least biased results, followed …

A New Lifetime Distribution For Series System: Model, Properties And Application, Adil Rashid, Zahooor Ahmad, T R. Jan

Journal of Modern Applied Statistical Methods

A new lifetime distribution for modeling system lifetime in series setting is proposed that embodies most of the compound lifetime distribution. The reliability analysis of parent and of sub-models has also been discussed. Various mathematical properties that include moment generating function, moments, and order statistics have been obtained. The newly-proposed distribution has a flexible density function; more importantly its hazard rate function can take up different shapes such as bathtub, upside down bathtub, increasing, and decreasing shapes. The unknown parameters of the proposed generalized family have been estimated through MLE technique. The strength and usefulness of the proposed family was …

An Inferential Method For Determining Which Of Two Independent Variables Is Most Important When There Is Curvature, Rand Wilcox

Journal of Modern Applied Statistical Methods

Consider three random variables Y, X₁ and X₂, where the typical value of Y, given X₁ and X₂, is given by some unknown function m(X₁, X₂). A goal is to determine which of the two independent variables is most important when both variables are included in the model. Let τ₁ denote the strength of the association associated with Y and X₁, when X₂ is included in the model, and let τ₂ be defined in an analogous manner. If it is assumed …

Sample Size For Non-Inferiority Tests For One Proportion: A Simulation Study, Özlem Güllü, Mustafa Agah Tekindal

Journal of Modern Applied Statistical Methods

The objective of non-inferiority trials is to demonstrate the efficiency of a novel treatment whether it is acceptably less or more efficient than a control or active (existing) treatment. They are employed in situations where, when compared to the active treatment, the novel treatment is to be advantageous with higher rates of reliability, compatibility, cost-efficiency, etc. Odds ratio is the most significant measure used in investigating the size of efficiency of treatments relative to one another. The purpose of the study is to calculate and evaluate the sample size under different scenarios based on three different test statistics in non-inferiority …

Handling Missing Data In Single-Case Studies, Chao-Ying Joanne Peng, Li-Ting Chen

Journal of Modern Applied Statistical Methods

Multiple imputation is illustrated for dealing with missing data in a published SCED study. Results were compared to those obtained from available data. Merits and issues of implementation are discussed. Recommendations are offered on primal/advanced readings, statistical software, and future research.

Robust Statistics, Bruce E. Blaine

Statistics Faculty/Staff Publications

In lieu of an abstract, here is the entry's first paragraph:

Robust statistics are procedures that maintain nominal Type I error rates and statistical power in the presence of violations of the assumptions that underpin parametric inferential statistics. Since George Box coined the term in 1953, research on robust statistics has centered on the assumption of normality, although the violation of other parametric assumptions (e.g., homogeneity of variance) has their own implications for the accuracy of parametric procedures. This entry looks at the importance of robust statistics in educational and social science research and explains the robustness argument. It then …

Winsorizing, Bruce E. Blaine

Statistics Faculty/Staff Publications

In lieu of an abstract, here is the entry's first paragraph:

Winsorizing is a procedure that moderates the influence of outliers on the mean and variance and thereby creates more robust estimators of location and variability. The procedure is named for biostatistician Charles P. Winsor. Parametric inferential procedures that rely on the mean and variance (e.g., t test) become more robust when they incorporate Winsorized estimators. Winsorizing is an important tool for educational and social science researchers for two reasons. First, significance tests based on the mean and variance are very common procedures for significance testing in the social sciences. …

The Epsilon-Skew Exponentiated Beta Distribution, Chary Akmyradov

Theses and Dissertations

In this dissertation, we develop the Epsilon Skew Exponentiated Beta Distribution. This distribution is a bimodal skew distribution with shape, location, and skewness parameters. This distribution is useful in applications with bimodal data, such as in the biological data. The shape properties and the effects of parameters are discussed. Furthermore, we derived the mode and the expected values, mean and variance. In addition, we derive the moment generating function and develop the likelihood function. Parameter estimates are also developed. Then, we develop a simulation to generate the Epsilon Skew Exponentiated Beta random variables and use this new distribution in real …

Stochastic Averaging For Multiple Cooperative And Antagonistic Molecular Motors, Joe Klobusicky

Biology and Medicine Through Mathematics Conference

No abstract provided.

Quantitative Electroencephalography For Detecting Concussions, Sara Krehbiel, Kathy Hoke, Joanna Wares

Biology and Medicine Through Mathematics Conference

No abstract provided.

Approximation To Multivariate Normal Higher Dimensional Probabilities In Mixed - Data Model With Missing Responses, E. B. Samani

Applications and Applied Mathematics: An International Journal (AAM)

Multivariate data with mixed ordinal and continuous responses with the possibility of nonignorable missingness are often common in follow up social studies and their analysis need to be promoted. One of the standard methods of analysis is based on joint modelling. In this method, we use that simultaneously allow modelling non-ignorable mechanism and a full likelihood-based approach is used to obtain maximum likelihood estimates of parameters of joint modelling. In this approach, when the dimension of the vector responses are increased, includes somehow troubling computations which are often time-consuming. Another alternative is an approximation for multivariate normal probabilities for higher …

Multiple-Model Multiple Imputation For Longitudinal Count Data To Address Uncertainty In Missingness Mechanism, E. J. Farahani, T. Baghfalaki

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, an approach to generate imputed values for count variables to incorporate missing data mechanism uncertainty is proposed. For multiple imputation, a distribution is considered in such a manner that it can reflect missing data mechanism uncertainty. For combining the parameter estimation of these imputed data sets the rules of nested multiple imputation are used. The performance of the multiple imputations is investigated using some simulation studies. Also, a real data set is analyzed using the proposed approach.

Prevention Paradox: Medical Students Are Less Inclined To Prescribe Hiv Pre-Exposure Prophylaxis For Patients In Highest Need., Sarah K Calabrese, Valerie A Earnshaw, Kristen Underhill, Douglas S Krakower, Manya Magnus, Nathan B Hansen, Kenneth H Mayer, Joseph R Betancourt, Trace S Kershaw, John F Dovidio

Epidemiology Faculty Publications

INTRODUCTION: Despite healthcare providers' growing awareness of pre-exposure prophylaxis (PrEP), prescription rates remain low. PrEP is an efficacious HIV prevention strategy recommended for use with condoms but still protective in their absence. Concern about the impact of PrEP on condom use and other risk behaviour is, nonetheless, among the barriers to prescription commonly reported. To understand the implications of this concern for PrEP access, we examined how medical students' willingness to prescribe PrEP varied by patients' condom use and partnering practices. We also assessed the perceived acceptability of various reasons for condom discontinuation with PrEP.

METHODS: An online survey was …

Using Data To Ignite And Sustain Employment Systems Change, Jean Winsor, Thinkwork! At The Institute For Community Inclusion At Umass Boston

ThinkWork! Publications

No abstract provided.

Examining Multimorbidities Using Association Rule Learning, Kaylee Dudley

Undergraduate Honors Theses

All insurance companies, regardless of the kind of insurance they offer, do their best to predict the future by comparing current to historical information. Any statistically significant correlation, regardless of expectations and hidden factors, can help to actuarially model future behavior. Using deidentified data from over 6 million health insurance policies over one year, we looked for any significant groupings of medical issues. The medical issues are defined based on the commercial “Episode Treatment Groups” (ETGs) classification, and our claims contain 347 different ETGs. We performed different kinds of analysis, including Bayesian posterior cluster analysis, k-means cluster analysis, and association …

Estimation Of The Burr Xii-Exponential Distribution Parameters, Gholamhossein Yari, Zahra Tondpour

Applications and Applied Mathematics: An International Journal (AAM)

The Burr XII distribution is one of the most important distributions in Survival analysis. In this article, we introduce the new wider Burr XII-G family of distributions. A special model in the new family called Burr XII-exponential distribution that has constant, decreasing and unimodal hazard rate functions is investigated. We discuss the estimation of this distribution parameters by maximum likelihood, three modifications of maximum likelihood and Bayes methods. In Bayes method, we use the uniform, triangular and Burr XII-uniform priors for posterior analysis and obtain Bayes estimations under two different loss functions. We obtain two approximations of the Bayes estimations, …

Profit Analysis Of A Two Unit Cold Standby System Operating Under Different Weather Conditions Subject T O Inspection, M. S. Barak, Neeraj _, Sudesh Kumari

Applications and Applied Mathematics: An International Journal (AAM)

A system, or unit, is said to be working under normal weather conditions if the system is working under prescribed conditions as defined/stated by the definition of reliability of system/unit, otherwise the system is said to be working in abnormal weather conditions. For example, if a car with the capacity for five persons is carrying more than five persons, it will be said to be working under abnormal weather conditions. Another example, if a hydraulic machine having the capacity to lift a maximum weight of 500 tons is lifting a weight of 600 tons, then the machine is working under …

Transmuted New Weibull-Pareto Distribution And Its Applications, Areeb Tahir, Ahmad S. Akhter, M. A. Ul Haq

Applications and Applied Mathematics: An International Journal (AAM)

this article, a generalization of the new Weibull-Pareto (NWP) distribution is derived. The quadratic equation (QRTM rank transmutation map) studied by Shaw and Buckley (2007), has been used to develop the generalization. The proposed distribution includes as special cases with the new Weibull-Pareto distribution (NWP), transmuted Weibull distribution (TW), transmuted Rayleigh (TR) distribution and transmuted exponential (TE) distribution. Various structural properties of the new distribution, including of moments, quantiles, moment generating function, mean deviations, reliability analysis, order statistics and Renyi entropy are derived. The maximum likelihood estimation method has been proposed for the estimation of the parameters of the TNWP …

Integrating Statistical Methods In Engineering Technology Courses, Sanjeevi Chitikeshi, Jake Hildebrant, Otilia Popescu, Orlando M. Ayala, Vukica M. Jovanovic

Engineering Technology Faculty Publications

Statistical methods and procedures are very important in engineering applications. In most of the engineering fields electronic devices are used as sensing and controlling components. Lack of proper calibration of these devices and of performance analysis using different statistical methods may lead to erroneous measurements and results. In medical or manufacturing areas such errors in the experimental results could be catastrophic. Applying different statistical tests and procedures enhance the quality of engineering work. Traditionally, most engineering curricula have at least one required course in applied statistics in engineering, but that is not generally the case in engineering technology programs. Most …

A 3d Characteristics Database Of Land Engraved Areas With Known Subclass, Entni Lin

Student Theses

Subclass characteristics on bullets may mislead firearm examiners when they rely on traditional 2D images. In order to provide indelible examples for training and help avoid identification errors, 3D topography surface maps and statistical methods of pattern recognition are applied to toolmarks on bullets containing known subclass characteristics. This research was conducted by collecting 3D topography surface map data from land engraved areas of bullets fired through known barrels. This data was processed and used to train the statistical algorithms to predict their origin. The results from the algorithm are compared with the “right answers” (i.e. correct IDs) of the …

Pseudo Power Law Statistics In A Jammed, Amorphous Solid, Jacob Brian Hass

Physics

Simulations have shown that in many solid materials, rearrangements within the solid obey power-law statistics. A connection has been proposed between these statistics and the ability of a system to reach a limit cycle under cyclic driving. We study experimentally a 2D jammed solid that reaches such a limit cycle. Our solid consists of microscopic plastic beads adsorbed at an oil-water interface and cyclically sheared by a magnetically driven needle. We track each particles trajectory in the solid to identify rearrangements. By associating particles both spatially and temporally, we can measure the extent of each rearrangement. We study specifically the …

Determinants Of Tourism And Hiv/Aids Incidence In West Java, Cecep Heriana, Rossi Suparman, Sohel Rana, Dera Sukmanawati

Kesmas

Indonesia defined as tourist destination where the international and domestic tourists enjoy the tourist attractions. Prostitution existing in tourism place may increase the prevalence of HIV/AIDS. The incidence and spread of AIDS in many areas in West Java is a problem for tourism industry. These issues become acute in locations where sexual attraction is used as a determinant of tourist portability. The aim of this study was to determine relation between tourism and the incidence of HIV/AIDS in West Java. Non-reactive research design was used to collect secondary data from the Central Bureau of Statistics in 2016 from 26 districts/cities …