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Development Of Modern Statistics And Related Topics
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Book Synopsis Development of Modern Statistics and Related Topics by : Yaoting Zhang
Download or read book Development of Modern Statistics and Related Topics written by Yaoting Zhang and published by World Scientific. This book was released on 2003 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: An interview with Professor Yaoting Zhang / Qiwei Yao and Zhaohai Li -- Significance level in interval mapping / David O. Siegmund and Benny Yakir -- An asymptotic Pythagorean identity / Zhiliang Ying -- A Monte Carlo gap test in computing HPD regions / Ming-Hui Chen [und weitere] -- Estimating restricted normal means using the EM-type algorithms and IBF sampling / Ming Tan, Guo-Liang Tian and Hong-Bin Fang -- An example of algorithm mining: covariance adjustment to accelerate EM and Gibbs / Chuanhai Liu -- Large deviations and deviation inequality for kernel density estimator in L[symbol]-distance / Liangzhen Lei, Liming Wu and Bin Xie -- Local sensitivity analysis of model misspecification / Guobing Lu -- Empirical likelihood confidence intervals for the difference of two quantiles of a population / Yongsong Qin and Yuehua Wu -- Exponential inequalities for spatial processes and uniform convergence rates for density estimation / Qiwei Yao -- A skew regression model for inference of stock volatility / Tuhao J. Chen and Hanfeng Chen -- Explicit transitional dynamics in growth models / Danyang Xie -- A fiscal federalism approach to optimal taxation and intergovernmental transfers in a dynamic model / Liutang Gong and Heng-Fu Zou -- Sharing catastrophe risk under model uncertainty / Xiaodong Zhu -- Ranked set sampling: a methodology for observational economy / Zehua Chen -- Some recent advances on response-adaptive randomized designs / Feifang Hu -- A childhood epidemic model with birthrate-dependent transmission / Yingcun Xia -- Linear regression analysis with observations subject to interval censoring / Linxiong Li -- When can the Haseman-Elston procedure for quantitative trait loci be improved? Insights from optimal design theory / Zhaohai Li, Minyu Xie and Joseph L. Gastwirth -- A semiparametric method for mapping quantitative trait loci / Jian Huang and Kai Wang -- Structure mixture regression models / Hongtu Zhu and Heping Zhang
Book Synopsis Classic Topics on the History of Modern Mathematical Statistics by : Prakash Gorroochurn
Download or read book Classic Topics on the History of Modern Mathematical Statistics written by Prakash Gorroochurn and published by John Wiley & Sons. This book was released on 2016-03-29 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There is nothing like it on the market...no others are as encyclopedic...the writing is exemplary: simple, direct, and competent." —George W. Cobb, Professor Emeritus of Mathematics and Statistics, Mount Holyoke College Written in a direct and clear manner, Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times presents a comprehensive guide to the history of mathematical statistics and details the major results and crucial developments over a 200-year period. Presented in chronological order, the book features an account of the classical and modern works that are essential to understanding the applications of mathematical statistics. Divided into three parts, the book begins with extensive coverage of the probabilistic works of Laplace, who laid much of the foundations of later developments in statistical theory. Subsequently, the second part introduces 20th century statistical developments including work from Karl Pearson, Student, Fisher, and Neyman. Lastly, the author addresses post-Fisherian developments. Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times also features: A detailed account of Galton's discovery of regression and correlation as well as the subsequent development of Karl Pearson's X2 and Student's t A comprehensive treatment of the permeating influence of Fisher in all aspects of modern statistics beginning with his work in 1912 Significant coverage of Neyman–Pearson theory, which includes a discussion of the differences to Fisher’s works Discussions on key historical developments as well as the various disagreements, contrasting information, and alternative theories in the history of modern mathematical statistics in an effort to provide a thorough historical treatment Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times is an excellent reference for academicians with a mathematical background who are teaching or studying the history or philosophical controversies of mathematics and statistics. The book is also a useful guide for readers with a general interest in statistical inference.
Book Synopsis OpenIntro Statistics by : David Diez
Download or read book OpenIntro Statistics written by David Diez and published by . This book was released on 2015-07-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The OpenIntro project was founded in 2009 to improve the quality and availability of education by producing exceptional books and teaching tools that are free to use and easy to modify. We feature real data whenever possible, and files for the entire textbook are freely available at openintro.org. Visit our website, openintro.org. We provide free videos, statistical software labs, lecture slides, course management tools, and many other helpful resources.
Book Synopsis All of Statistics by : Larry Wasserman
Download or read book All of Statistics written by Larry Wasserman and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.
Book Synopsis Classic Topics on the History of Modern Mathematical Statistics by : Prakash Gorroochurn
Download or read book Classic Topics on the History of Modern Mathematical Statistics written by Prakash Gorroochurn and published by John Wiley & Sons. This book was released on 2016-04-04 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There is nothing like it on the market...no others are as encyclopedic...the writing is exemplary: simple, direct, and competent." —George W. Cobb, Professor Emeritus of Mathematics and Statistics, Mount Holyoke College Written in a direct and clear manner, Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times presents a comprehensive guide to the history of mathematical statistics and details the major results and crucial developments over a 200-year period. Presented in chronological order, the book features an account of the classical and modern works that are essential to understanding the applications of mathematical statistics. Divided into three parts, the book begins with extensive coverage of the probabilistic works of Laplace, who laid much of the foundations of later developments in statistical theory. Subsequently, the second part introduces 20th century statistical developments including work from Karl Pearson, Student, Fisher, and Neyman. Lastly, the author addresses post-Fisherian developments. Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times also features: A detailed account of Galton's discovery of regression and correlation as well as the subsequent development of Karl Pearson's X2 and Student's t A comprehensive treatment of the permeating influence of Fisher in all aspects of modern statistics beginning with his work in 1912 Significant coverage of Neyman–Pearson theory, which includes a discussion of the differences to Fisher’s works Discussions on key historical developments as well as the various disagreements, contrasting information, and alternative theories in the history of modern mathematical statistics in an effort to provide a thorough historical treatment Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times is an excellent reference for academicians with a mathematical background who are teaching or studying the history or philosophical controversies of mathematics and statistics. The book is also a useful guide for readers with a general interest in statistical inference.
Book Synopsis Modern Issues and Methods in Biostatistics by : Mark Chang
Download or read book Modern Issues and Methods in Biostatistics written by Mark Chang and published by Springer Science & Business Media. This book was released on 2011-07-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic biostatistics, a branch of statistical science, has as its main focus the applications of statistics in public health, the life sciences, and the pharmaceutical industry. Modern biostatistics, beyond just a simple application of statistics, is a confluence of statistics and knowledge of multiple intertwined fields. The application demands, the advancements in computer technology, and the rapid growth of life science data (e.g., genomics data) have promoted the formation of modern biostatistics. There are at least three characteristics of modern biostatistics: (1) in-depth engagement in the application fields that require penetration of knowledge across several fields, (2) high-level complexity of data because they are longitudinal, incomplete, or latent because they are heterogeneous due to a mixture of data or experiment types, because of high-dimensionality, which may make meaningful reduction impossible, or because of extremely small or large size; and (3) dynamics, the speed of development in methodology and analyses, has to match the fast growth of data with a constantly changing face. This book is written for researchers, biostatisticians/statisticians, and scientists who are interested in quantitative analyses. The goal is to introduce modern methods in biostatistics and help researchers and students quickly grasp key concepts and methods. Many methods can solve the same problem and many problems can be solved by the same method, which becomes apparent when those topics are discussed in this single volume.
Book Synopsis Theoretical Statistics by : Robert W. Keener
Download or read book Theoretical Statistics written by Robert W. Keener and published by Springer Science & Business Media. This book was released on 2010-09-08 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended as the text for a sequence of advanced courses, this book covers major topics in theoretical statistics in a concise and rigorous fashion. The discussion assumes a background in advanced calculus, linear algebra, probability, and some analysis and topology. Measure theory is used, but the notation and basic results needed are presented in an initial chapter on probability, so prior knowledge of these topics is not essential. The presentation is designed to expose students to as many of the central ideas and topics in the discipline as possible, balancing various approaches to inference as well as exact, numerical, and large sample methods. Moving beyond more standard material, the book includes chapters introducing bootstrap methods, nonparametric regression, equivariant estimation, empirical Bayes, and sequential design and analysis. The book has a rich collection of exercises. Several of them illustrate how the theory developed in the book may be used in various applications. Solutions to many of the exercises are included in an appendix.
Book Synopsis Development of Modern Statistics and Related Topics by : Heping Zhang
Download or read book Development of Modern Statistics and Related Topics written by Heping Zhang and published by World Scientific. This book was released on 2003 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book encompasses a wide range of important topics. The articles cover the following areas: asymptotic theory and inference, biostatistics, economics and finance, statistical computing and Bayesian statistics, and statistical genetics. Specifically, the issues that are studied include large deviation, deviation inequalities, local sensitivity of model misspecification in likelihood inference, empirical likelihood confidence intervals, uniform convergence rates in density estimation, randomized designs in clinical trials, MCMC and EM algorithms, approximation of p-values in multipoint linkage analysis, use of mixture models in genetic studies, and design and analysis of quantitative traits.
Book Synopsis Modern Statistics with R by : Måns Thulin
Download or read book Modern Statistics with R written by Måns Thulin and published by BoD - Books on Demand. This book was released on 2021-07-28 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decades have transformed the world of statistical data analysis, with new methods, new types of data, and new computational tools. The aim of Modern Statistics with R is to introduce you to key parts of the modern statistical toolkit. It teaches you: - Data wrangling - importing, formatting, reshaping, merging, and filtering data in R. - Exploratory data analysis - using visualisation and multivariate techniques to explore datasets. - Statistical inference - modern methods for testing hypotheses and computing confidence intervals. - Predictive modelling - regression models and machine learning methods for prediction, classification, and forecasting. - Simulation - using simulation techniques for sample size computations and evaluations of statistical methods. - Ethics in statistics - ethical issues and good statistical practice. - R programming - writing code that is fast, readable, and free from bugs. Starting from the very basics, Modern Statistics with R helps you learn R by working with R. Topics covered range from plotting data and writing simple R code to using cross-validation for evaluating complex predictive models and using simulation for sample size determination. The book includes more than 200 exercises with fully worked solutions. Some familiarity with basic statistical concepts, such as linear regression, is assumed. No previous programming experience is needed.
Book Synopsis Modern Statistics for the Social and Behavioral Sciences by : Rand Wilcox
Download or read book Modern Statistics for the Social and Behavioral Sciences written by Rand Wilcox and published by CRC Press. This book was released on 2011-08-05 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to learning how to apply classic statistical methods, students need to understand when these methods perform well, and when and why they can be highly unsatisfactory. Modern Statistics for the Social and Behavioral Sciences illustrates how to use R to apply both standard and modern methods to correct known problems with classic techniques. Numerous illustrations provide a conceptual basis for understanding why practical problems with classic methods were missed for so many years, and why modern techniques have practical value. Designed for a two-semester, introductory course for graduate students in the social sciences, this text introduces three major advances in the field: Early studies seemed to suggest that normality can be assumed with relatively small sample sizes due to the central limit theorem. However, crucial issues were missed. Vastly improved methods are now available for dealing with non-normality. The impact of outliers and heavy-tailed distributions on power and our ability to obtain an accurate assessment of how groups differ and variables are related is a practical concern when using standard techniques, regardless of how large the sample size might be. Methods for dealing with this insight are described. The deleterious effects of heteroscedasticity on conventional ANOVA and regression methods are much more serious than once thought. Effective techniques for dealing heteroscedasticity are described and illustrated. Requiring no prior training in statistics, Modern Statistics for the Social and Behavioral Sciences provides a graduate-level introduction to basic, routinely used statistical techniques relevant to the social and behavioral sciences. It describes and illustrates methods developed during the last half century that deal with known problems associated with classic techniques. Espousing the view that no single method is always best, it imparts a general understanding of the relative merits of various techniques so that the choice of method can be made in an informed manner.
Book Synopsis Statistics in the Social Sciences by : Stanislav Kolenikov
Download or read book Statistics in the Social Sciences written by Stanislav Kolenikov and published by John Wiley & Sons. This book was released on 2010-02-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: A one-of-a-kind compilation of modern statistical methods designed to support and advance research across the social sciences Statistics in the Social Sciences: Current Methodological Developments presents new and exciting statistical methodologies to help advance research and data analysis across the many disciplines in the social sciences. Quantitative methods in various subfields, from psychology to economics, are under demand for constant development and refinement. This volume features invited overview papers, as well as original research presented at the Sixth Annual Winemiller Conference: Methodological Developments of Statistics in the Social Sciences, an international meeting that focused on fostering collaboration among mathematical statisticians and social science researchers. The book provides an accessible and insightful look at modern approaches to identifying and describing current, effective methodologies that ultimately add value to various fields of social science research. With contributions from leading international experts on the topic, the book features in-depth coverage of modern quantitative social sciences topics, including: Correlation Structures Structural Equation Models and Recent Extensions Order-Constrained Proximity Matrix Representations Multi-objective and Multi-dimensional Scaling Differences in Bayesian and Non-Bayesian Inference Bootstrap Test of Shape Invariance across Distributions Statistical Software for the Social Sciences Statistics in the Social Sciences: Current Methodological Developments is an excellent supplement for graduate courses on social science statistics in both statistics departments and quantitative social sciences programs. It is also a valuable reference for researchers and practitioners in the fields of psychology, sociology, economics, and market research.
Book Synopsis Fundamentals of Modern Statistical Methods by : Rand R. Wilcox
Download or read book Fundamentals of Modern Statistical Methods written by Rand R. Wilcox and published by Springer Science & Business Media. This book was released on 2010-03-18 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conventional statistical methods have a very serious flaw. They routinely miss differences among groups or associations among variables that are detected by more modern techniques, even under very small departures from normality. Hundreds of journal articles have described the reasons standard techniques can be unsatisfactory, but simple, intuitive explanations are generally unavailable. Situations arise where even highly nonsignificant results become significant when analyzed with more modern methods. Without assuming the reader has any prior training in statistics, Part I of this book describes basic statistical principles from a point of view that makes their shortcomings intuitive and easy to understand. The emphasis is on verbal and graphical descriptions of concepts. Part II describes modern methods that address the problems covered in Part I. Using data from actual studies, many examples are included to illustrate the practical problems with conventional procedures and how more modern methods can make a substantial difference in the conclusions reached in many areas of statistical research. The second edition of this book includes a number of advances and insights that have occurred since the first edition appeared. Included are new results relevant to medians, regression, measures of association, strategies for comparing dependent groups, methods for dealing with heteroscedasticity, and measures of effect size.
Book Synopsis Statistics for High-Dimensional Data by : Peter Bühlmann
Download or read book Statistics for High-Dimensional Data written by Peter Bühlmann and published by Springer Science & Business Media. This book was released on 2011-06-08 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern statistics deals with large and complex data sets, and consequently with models containing a large number of parameters. This book presents a detailed account of recently developed approaches, including the Lasso and versions of it for various models, boosting methods, undirected graphical modeling, and procedures controlling false positive selections. A special characteristic of the book is that it contains comprehensive mathematical theory on high-dimensional statistics combined with methodology, algorithms and illustrations with real data examples. This in-depth approach highlights the methods’ great potential and practical applicability in a variety of settings. As such, it is a valuable resource for researchers, graduate students and experts in statistics, applied mathematics and computer science.
Book Synopsis Recent Advances in Biostatistics by : Manish Bhattacharjee
Download or read book Recent Advances in Biostatistics written by Manish Bhattacharjee and published by World Scientific. This book was released on 2011-03-18 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume provides self-contained accounts of some recent trends in Biostatistics methodology and their applications. It includes state-of-the-art reviews and original contributions. The articles included in this volume are based on a careful selection of peer-reviewed papers, authored by eminent experts in the field, representing a well balanced mix of researchers from the academia, R&D sectors of government and the pharmaceutical industry. The book is also intended to give advanced graduate students and new researchers a scholarly overview of several research frontiers in biostatistics, which they can use to further advance the field through development of new techniques and results. Contents:False Discovery Rates:A New Adaptive Method to Control the False Discovery Rate (F Liu & S K Sarkar)Adaptive Multiple Testing Procedures Under Positive Dependence (W-G Guo et al.)A False Discovery Rate Procedure for Categorical Data (J F Heyse)Survival Analysis:Conditional Nelson-Aalen and Kaplan-Meier Estimators with the Müller–Wang Boundary Kernel (X-D Luo & W-Y Tsai)Regression Analysis in Failure Time Mixture Models with Change Points According to Thresholds of a Covariate (J-M Lee et al.)Modeling Survival Data Using the Piecewise Exponential Model with Random Time Grid (F N Demarqui et al.)Proportional Rate Models for Recurrent Time Event Data Under Dependent Censoring: A Comparative Study (L D A F Amorim et al.)Efficient Algorithms for Bayesian Binary Regression Model with Skew-Probit Link (R B A Farias & M D Branco)M-Estimation Methods in Heteroscedastic Nonlinear Regression Models (C Lim et al.)The Inverse Censoring Weighted Approach for Estimation of Survival Functions from Left and Right Censored Data (S Subramanian & P-X Zhang)Analysis and Design of Competing Risks Data in Clinical Research (H T Kimn)Related Topics: Genomics/Bioinformatics, Medical Imaging and Diagnosis, Clinical Trials:Comparative Genomic Analysis Using Information Theory (S N Fatakia et al.)Statistical Modeling for Data of Positron Emission Tomography in Depression (C Chang & R T Ogden)The Use of Latent Class Analysis in Medical Diagnosis (D Rindskopf)Subset Selection in Comparative Selection Trials (C-S Leu et al.) Readership: Advanced Graduate students; active researchers in universities, research labs in government and industry engaged in and concerned with modeling and data analysis in biostatistics; R&D managers and directors of biostatistics / public health research in government and industry. Keywords:False Discovery Rate;Adaptive Multiple Testing;Survival Analysis;Censoring;NelsonâAalen Estimator;KaplanâMeier Estimator;Recurrent Time-to-Event Data Under Dependent Censoring;Bayesian Binary Regression;M-Estimation;Heteroscedastic Nonlinear Regression;Failure Time Mixture Models with Change Points;Genomic Analysis Using Information Theory;Modeling Positron Emission Tomography;Competing Risks;Latent Class Analysis;Comparative Selection TrialsKey Features:Includes a treatment of current research on “False Discovery Methods”, a topic of high relevance and interest in gene-expression/microarray studiesIncludes new methods for regression analysis of recurrent and censored time-to-event data with dependent censoring, innovative estimation methods for unconditional and conditional survival distributions from censored data including double censoring, novel applications in medical imaging and diagnosis, information theory and comparative genomicsContributors are prominent experts in their fields
Book Synopsis Nonparametric Statistical Methods and Related Topics by : Francisco J. Samaniego
Download or read book Nonparametric Statistical Methods and Related Topics written by Francisco J. Samaniego and published by World Scientific. This book was released on 2011 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Review papers. 1. On the scholarly work of P.K. Bhattacharya / P. Hall and F.J. Samaniego. 2. The propensity score and its role in causal inference / C. Drake and T. Loux. 3. Recent tests for symmetry with multivariate and structured data: a review / S.G. Meintanis and J. Ngatchou-Wandji -- Papers on general nonparametric inference. 4. On robust versions of classical tests with dependent data / J. Jiang. 5. Density estimation by sampling from stationary continuous time parameter associated processes / G.G. Roussas and D. Bhattacharya. 6. A Short proof of the Feigin-Tweedie theorem on the existence of the mean functional of a Dirichlet process / J. Sethuraman. 7. Max-min Bernstein polynomial estimation of a discontinuity in distribution / K.-S. Song. 8. U-statistics based on higher-order spacings / D.D. Tung and S.R. Jammalamadaka. 9. Nonparametric models for non-Gaussian longitudinal data / N. Zhang, H.-G. Muller and J.-L. Wang -- Papers on aspects of linear or generalized linear models. 10. Better residuals / R. Beran. 11. The use of Peters-Belson regression in legal cases / E. Bura, J.L. Gastwirth and H. Hikawa. 12. On a hybrid approach to parametric and nonparametric regression / P. Burman and P. Chaudhuri. 13. Nonparametric regression models with integrated covariates / Z. Cai. 14. A dynamic test for misspecification of a linear model / M.P. McAssey and F. Hsieh. 15. The principal component decomposition of the basic martingale / W. Stute -- Papers on time series analysis. 16. Fast scatterplot smoothing using blockwise least squares fitting / A. Aue and T.C.M. Lee. 17. Some recent advances in semiparametric estimation of the GARCH model / J. Di and A. Gangopadhyay. 18. Extreme dependence in multivariate time series: a review / R. Sen and Z. Tan. 19. Dynamic mixed models for irregularly observed water quality data / R.H. Shumway -- Papers on asymptotic theory. 20. Asymptotic behavior of the kernel density estimators for nonstationary dependent random variables with binned data / J.-F. Lenain, M. Harel and M.L. Puri. 21. Convergence rates of an improved isotonic regression estimator / H. Mukerjee. 22. Asymptotic distribution of the smallest eigenvalue of Wishart(N, n) When N, n ' [symbol] such that N/n --> 0 / D. Paul
Book Synopsis Development of Modern Statistics and Related Topics by : Heping Zhang
Download or read book Development of Modern Statistics and Related Topics written by Heping Zhang and published by . This book was released on 2003 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics and Trends in Current Statistics Education Research by : Gail Burrill
Download or read book Topics and Trends in Current Statistics Education Research written by Gail Burrill and published by Springer. This book was released on 2019-01-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on international research in statistics education, providing a solid understanding of the challenges in learning statistics. It presents the teaching and learning of statistics in various contexts, including designed settings for young children, students in formal schooling, tertiary level students, and teacher professional development. The book describes research on what to teach and platforms for delivering content (curriculum), strategies on how to teach for deep understanding, and includes several chapters on developing conceptual understanding (pedagogy and technology), teacher knowledge and beliefs, and the challenges teachers and students face when they solve statistical problems (reasoning and thinking). This new research in the field offers critical insights for college instructors, classroom teachers, curriculum designers, researchers in mathematics and statistics education as well as policy makers and newcomers to the field of statistics education. Statistics has become one of the key areas of study in the modern world of information and big data. The dramatic increase in demand for learning statistics in all disciplines is accompanied by tremendous growth in research in statistics education. Increasingly, countries are teaching more quantitative reasoning and statistics at lower and lower grade levels within mathematics, science and across many content areas. Research has revealed the many challenges in helping learners develop statistical literacy, reasoning, and thinking, and new curricula and technology tools show promise in facilitating the achievement of these desired outcomes.
