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Common errors in statistics (and how to avoid them)
\"The Fourth Edition of this tried-and-true book elaborates on many key topics such as epidemiological studies, distribution of data; baseline data incorporation; case control studies; simulations; statistical theory publication; biplots; instrumental variables; ecological regression; result reporting, survival analysis; etc. Including new modifications and figures, the book also covers such topics as research plan creation; data collection; hypothesis formulation and testing; coefficient estimates; sample size specifications; assumption checking; p-values interpretations and confidence intervals; counts and correlated data; model building and testing; Bayes' Theorem; bootstrap and permutation tests; and more\"-- Provided by publisher.
Book
Symmetric Markov Processes, Time Change, and Boundary Theory (LMS-35)
This book gives a comprehensive and self-contained introduction to the theory of symmetric Markov processes and symmetric quasi-regular Dirichlet forms. In a detailed and accessible manner, Zhen-Qing Chen and Masatoshi Fukushima cover the essential elements and applications of the theory of symmetric Markov processes, including recurrence/transience criteria, probabilistic potential theory, additive functional theory, and time change theory. The authors develop the theory in a general framework of symmetric quasi-regular Dirichlet forms in a unified manner with that of regular Dirichlet forms, emphasizing the role of extended Dirichlet spaces and the rich interplay between the probabilistic and analytic aspects of the theory. Chen and Fukushima then address the latest advances in the theory, presented here for the first time in any book. Topics include the characterization of time-changed Markov processes in terms of Douglas integrals and a systematic account of reflected Dirichlet spaces, and the important roles such advances play in the boundary theory of symmetric Markov processes.
This volume is an ideal resource for researchers and practitioners, and can also serve as a textbook for advanced graduate students. It includes examples, appendixes, and exercises with solutions.
eBook
A career in statistics : beyond the numbers
\"This book serves as an excellent companion to its predecessor, The Role of Statistics in Business and Industry. In this volume, the authors help readers decide whether a career in statistics is appropriate for them and what to expect once in it. They provide insights into the work environment and how students and entry-level statisticians can best prepare themselves to succeed, offering hints for success in training, career paths, and lifelong learning. This book is a must-have for anyone considering a career in statistics, as well as for faculty who prepare students for such a career\"--Provided by publisher.
Book
A case study of well child care visits at general practices in a region of disadvantage in Sydney
Well-Child Care (WCC) is the provision of preventive health care services for children and their families. Prior research has highlighted that several barriers exist for the provision of WCC services.
To study \"real life\" visits of parents and children with health professionals in order to enhance the theoretical understanding of factors affecting WCC.
Participant observations of a cross-sectional sample of 71 visits at three general practices were analysed using a mixed-methods approach.
The median age of the children was 18 months (IQR, 6-36 months), and the duration of visits was 13 mins (IQR, 9-18 mins). The reasons for the visits were immunisation in 13 (18.5%), general check-up in 10 (13.8%), viral illness in 33 (49.2%) and miscellaneous reasons in 15 (18.5%). Two clusters with low and high WCC emerged; WCC was associated with higher GP patient-centeredness scores, younger age of the child, fewer previous visits, immunisation and general check-up visits, and the solo general practitioner setting. Mothers born overseas received less WCC advice, while longer duration of visit increased WCC. GPs often made observations on physical growth and development and negotiated mothers concerns to provide reassurance to them. The working style of the GP which encouraged informal conversations with the parents enhanced WCC. There was a lack of systematic use of developmental screening measures.
GPs and practice nurses are providing parent/child centered WCC in many visits, particularly when parents present for immunisation and general check-ups. Providing funding and practice nurse support to GPs, and aligning WCC activities with all immunisation visits, rather than just a one-off screening approach, appears to be the best way forward. A cluster randomised trial for doing structured WCC activities with immunisation visits would provide further evidence for cost-effectiveness studies to inform policy change.
Journal Article
Foundations of agnostic statistics
\"The last three decades have seen a marked change in the manner in which quantitative empirical inquiry in the social and health sciences is conducted. Sometimes dubbed the \"credibility revolution,\" this change has been characterized by a growing acknowledgment that the evidence that researchers adduce for their claims is often predicated on unsustainable assumptions. Our understanding of statistical and econometric tools has needed to change accordingly. We have found that conventional textbooks, which often begin with incredible modeling assumptions, are not well suited as a starting point for credible research\"-- Provided by publisher.
Book
Log-Gases and Random Matrices (LMS-34)
Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years.Log-Gases and Random Matricesgives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack polynomials.
Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as examples of integrable or exactly solvable systems. Forrester develops not only the application and theory of Gaussian and circular ensembles of classical random matrix theory, but also of the Laguerre and Jacobi ensembles, and their beta extensions. Prominence is given to the computation of a multitude of Jacobians; determinantal point processes and orthogonal polynomials of one variable; the Selberg integral, Jack polynomials, and generalized hypergeometric functions; Painlevé transcendents; macroscopic electrostatistics and asymptotic formulas; nonintersecting paths and models in statistical mechanics; and applications of random matrix theory. This is the first textbook development of both nonsymmetric and symmetric Jack polynomial theory, as well as the connection between Selberg integral theory and beta ensembles. The author provides hundreds of guided exercises and linked topics, makingLog-Gases and Random Matricesan indispensable reference work, as well as a learning resource for all students and researchers in the field.
eBook
A practical approach to using statistics in health research : from planning to reporting
\"This book provides an outline with methodological steps of how to use statistics to analyze your research data. The book begins with a general introduction, which discusses what you should be trying to achieve with your statistical analysis. This involves describing the subjects you investigated and their outcomes, determining whether there is statistically significant evidence of differences in outcomes between groups of subjects, quantitatively describing effect sizes, and also determining whether any changes are large enough to be of clinical significance. Next, the authors cover data types and choosing statistical tests. This includes identifying the factor and outcome, and also identifying the type of data used to record the outcome. Readers are then introduced to multiple testing, the Chi-square test, and independent samples and the two-sample t-test. The Man-Whitney test is discussed, as well as the One-way ANOVA. Readers are taught how to Carrying out the Kruskal-Wallis test and the McNemar's test. The Paired t-test is covered, as well as how to carry out the Wilcoxon paired samples test. Readers are shown how to carry out the repeated measures ANOVA and the Friedman test. This includes discussion of merits of change in median, change in proportions in categories, and changes in high/low categories. The book concludes with a discussion on correlation and regression methods, and a detailed analysis on Cronbach's alpha\"-- Provided by publisher.
Book
An introduction to discrete-valued time series
A much-needed introduction to the field of discrete-valued time series, with a focus on count-data time series Time series analysis is an essential tool in a wide array of fields, including business, economics, computer science, epidemiology, finance, manufacturing and meteorology, to name just a few. Despite growing interest in discrete-valued time series—especially those arising from counting specific objects or events at specified times—most books on time series give short shrift to that increasingly important subject area. This book seeks to rectify that state of affairs by providing a much needed introduction to discrete-valued time series, with particular focus on count-data time series. The main focus of this book is on modeling. Throughout numerous examples are provided illustrating models currently used in discrete-valued time series applications. Statistical process control, including various control charts (such as cumulative sum control charts), and performance evaluation are treated at length. Classic approaches like ARMA models and the Box-Jenkins program are also featured with the basics of these approaches summarized in an Appendix. In addition, data examples, with all relevant R code, are available on a companion website. • Provides a balanced presentation of theory and practice, exploring both categorical and integer-valued series • Covers common models for time series of counts as well as for categorical time series, and works out their most important stochastic properties • Addresses statistical approaches for analyzing discrete-valued time series and illustrates their implementation with numerous data examples • Covers classical approaches such as ARMA models, Box-Jenkins program and how to generate functions • Includes dataset examples with all necessary R code provided on a companion website An Introduction to Discrete-Valued Time Series is a valuable working resource for researchers and practitioners in a broad range of fields, including statistics, data science, machine learning, and engineering. It will also be of interest to postgraduate students in statistics, mathematics and economics.
eBook
Patterns and determinants of prescribed drug use among pregnant women in Adigrat general hospital, northern Ethiopia: a cross-sectional study
Background
A vigilant prescription of drugs during pregnancy can potentially safeguard the growing fetus from the deleterious effect of the drug while attempting to manage the mother’s health problems. There is a paucity of information about the drug utilization pattern in the area of investigation. Hence, this study was implemented to investigate the pattern of drug utilization and its associated factors among pregnant women in Adigrat general hospital, Northern Ethiopia.
Methods
An institution-based cross-sectional study was conducted among randomly selected 314 pregnant women who attended obstetrics-gynecology and antenatal care units of the hospital. Relevant data were retrieved from the pregnant women’s medical records and registration logbook. The drugs prescribed were categorized based on the United States Food and Drug Administration (US-FDA) fetal harm classification system. Data analysis was done using SPSS version 20 statistical software. Multivariate logistic regression was employed to analyze the association of the explanatory variables with the medication use, and
p
< 0.05 was declared statistically significant.
Results
The overall prescribed drug use in this study was found to be 87.7%. A considerable percentage of the study participants (41.4%) were prescribed with supplemental drugs (iron folate being the most prescribed drug) followed by antibiotics (23.4%) and analgesics (9.2%). According to the US-FDA drug’s risk classification, 42.5, 37, 13, and 7% of the drugs prescribed were from categories A, B, C, and D or X respectively. Prescribed drug use was more likely among pregnant women who completed primary [AOR = 5.34, 95% CI (1.53–18.6)] and secondary education [AOR = 4.1, 95% CI (1.16–14)], who had a history of chronic illness [AOR = 7.9, 95% CI (3.14–19.94)] and among multigravida women [AOR = 2.9, 95% CI (1.57 5.45)].
Conclusions
The finding of this study revealed that a substantial proportion of pregnant women received drugs with potential harm to the mother and fetus. Reasonably, notifying health practitioners to rely on up-to-date treatment guidelines strictly is highly demanded. Moreover, counseling and educating pregnant women on the safe and appropriate use of medications during pregnancy are crucial to mitigate the burden that the mother and the growing fetus could face.
Journal Article