Understanding Biplots

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Understanding Biplots

Author : John C. Gower
Publisher : John Wiley & Sons
ISBN 13 : 1119972906
Total Pages : 504 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Understanding Biplots by : John C. Gower

Download or read book Understanding Biplots written by John C. Gower and published by John Wiley & Sons. This book was released on 2011-02-23 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biplots are a graphical method for simultaneously displaying two kinds of information; typically, the variables and sample units described by a multivariate data matrix or the items labelling the rows and columns of a two-way table. This book aims to popularize what is now seen to be a useful and reliable method for the visualization of multidimensional data associated with, for example, principal component analysis, canonical variate analysis, multidimensional scaling, multiplicative interaction and various types of correspondence analysis. Understanding Biplots: • Introduces theory and techniques which can be applied to problems from a variety of areas, including ecology, biostatistics, finance, demography and other social sciences. • Provides novel techniques for the visualization of multidimensional data and includes data mining techniques. • Uses applications from many fields including finance, biostatistics, ecology, demography. • Looks at dealing with large data sets as well as smaller ones. • Includes colour images, illustrating the graphical capabilities of the methods. • Is supported by a Website featuring R code and datasets. Researchers, practitioners and postgraduate students of statistics and the applied sciences will find this book a useful introduction to the possibilities of presenting data in informative ways.

Biplots in Practice

Author : Michael J. Greenacre
Publisher : Fundacion BBVA
ISBN 13 : 8492384689
Total Pages : 241 pages
Book Rating : 4.4/5 (923 download)

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Book Synopsis Biplots in Practice by : Michael J. Greenacre

Download or read book Biplots in Practice written by Michael J. Greenacre and published by Fundacion BBVA. This book was released on 2010 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Este libro explica las aplicaciones específicas y las interpretaciones del biplot en muchas áreas del análisis multivariante. regresión, modelos lineales generalizados, análisis de componentes principales, análisis de correspondencias y análisis discriminante.

Modern Quantification Theory

Author : Shizuhiko Nishisato
Publisher : Springer Nature
ISBN 13 : 9811624704
Total Pages : 231 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Modern Quantification Theory by : Shizuhiko Nishisato

Download or read book Modern Quantification Theory written by Shizuhiko Nishisato and published by Springer Nature. This book was released on 2021-07-22 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new look at well-established quantification theory for categorical data, referred to by such names as correspondence analysis, dual scaling, optimal scaling, and homogeneity analysis. These multiple identities are a consequence of its large number of properties that allow one to analyze and visualize the strength of variable association in an optimal solution. The book contains modern quantification theory for analyzing the association between two and more categorical variables in a variety of applicative frameworks. Visualization has attracted much attention over the past decades and given rise to controversial opinions. One may consider variations of plotting systems used in the construction of the classic correspondence plot, the biplot, the Carroll-Green-Schaffer scaling, or a new approach in doubled multidimensional space as presented in the book. There are even arguments for no visualization at all. The purpose of this book therefore is to shed new light on time-honored graphical procedures with critical reviews, new ideas, and future directions as alternatives. This stimulating volume is written with fresh new ideas from the traditional framework and the contemporary points of view. It thus offers readers a deep understanding of the ever-evolving nature of quantification theory and its practice. Part I starts with illustrating contingency table analysis with traditional joint graphical displays (symmetric, non-symmetric) and the CGS scaling and then explores logically correct graphs in doubled Euclidean space for both row and column variables. Part II covers a variety of mathematical approaches to the biplot strategy in graphing a data structure, providing a useful source for this modern approach to graphical display. Part II is also concerned with a number of alternative approaches to the joint graphical display such as bimodal cluster analysis and other statistical problems relevant to quantification theory.

Correspondence Analysis

Author : Eric J. Beh
Publisher : John Wiley & Sons
ISBN 13 : 1118762908
Total Pages : 646 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Correspondence Analysis by : Eric J. Beh

Download or read book Correspondence Analysis written by Eric J. Beh and published by John Wiley & Sons. This book was released on 2014-09-04 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of the internationalisation of correspondence analysis Correspondence Analysis: Theory, Practice and New Strategies examines the key issues of correspondence analysis, and discusses the new advances that have been made over the last 20 years. The main focus of this book is to provide a comprehensive discussion of some of the key technical and practical aspects of correspondence analysis, and to demonstrate how they may be put to use. Particular attention is given to the history and mathematical links of the developments made. These links include not just those major contributions made by researchers in Europe (which is where much of the attention surrounding correspondence analysis has focused) but also the important contributions made by researchers in other parts of the world. Key features include: A comprehensive international perspective on the key developments of correspondence analysis. Discussion of correspondence analysis for nominal and ordinal categorical data. Discussion of correspondence analysis of contingency tables with varying association structures (symmetric and non-symmetric relationship between two or more categorical variables). Extensive treatment of many of the members of the correspondence analysis family for two-way, three-way and multiple contingency tables. Correspondence Analysis offers a comprehensive and detailed overview of this topic which will be of value to academics, postgraduate students and researchers wanting a better understanding of correspondence analysis. Readers interested in the historical development, internationalisation and diverse applicability of correspondence analysis will also find much to enjoy in this book.

Advanced Studies in Classification and Data Science

Author : Tadashi Imaizumi
Publisher : Springer Nature
ISBN 13 : 9811533113
Total Pages : 506 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Advanced Studies in Classification and Data Science by : Tadashi Imaizumi

Download or read book Advanced Studies in Classification and Data Science written by Tadashi Imaizumi and published by Springer Nature. This book was released on 2020-09-25 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume focuses on the latest developments in classification and data science and covers a wide range of topics in the context of data analysis and related areas, e.g. the analysis of complex data, analysis of qualitative data, methods for high-dimensional data, dimensionality reduction, data visualization, multivariate statistical methods, and various applications to real data in the social sciences, medical sciences, and other disciplines. In addition to sharing theoretical and methodological findings, the book shows how to apply the proposed methods to a variety of problems — e.g. in consumer behavior, decision-making, marketing data and social network structures. Both methodological aspects and applications to a wide range of areas such as economics, behavioral science, marketing science, management science and the social sciences are covered. The book is chiefly intended for researchers and practitioners who are interested in the latest developments and practical applications in these fields, as well as applied statisticians and data analysts. Its combination of methodological advances with a wide range of real-world applications gathered from several fields makes it of unique value in helping readers solve their research problems.

GGE Biplot Analysis

Author : Weikai Yan
Publisher : CRC Press
ISBN 13 : 1420040375
Total Pages : 287 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis GGE Biplot Analysis by : Weikai Yan

Download or read book GGE Biplot Analysis written by Weikai Yan and published by CRC Press. This book was released on 2002-08-28 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research data is expensive and precious, yet it is seldom fully utilized due to our ability of comprehension. Graphical display is desirable, if not absolutely necessary, for fully understanding large data sets with complex interconnectedness and interactions. The newly developed GGE biplot methodology is a superior approach to the graphical analys

Multivariate Analysis for the Biobehavioral and Social Sciences

Author : Bruce L. Brown
Publisher : John Wiley & Sons
ISBN 13 : 1118131614
Total Pages : 404 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Multivariate Analysis for the Biobehavioral and Social Sciences by : Bruce L. Brown

Download or read book Multivariate Analysis for the Biobehavioral and Social Sciences written by Bruce L. Brown and published by John Wiley & Sons. This book was released on 2011-11-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: An insightful guide to understanding and visualizing multivariate statistics using SAS®, STATA®, and SPSS® Multivariate Analysis for the Biobehavioral and Social Sciences: A Graphical Approach outlines the essential multivariate methods for understanding data in the social and biobehavioral sciences. Using real-world data and the latest software applications, the book addresses the topic in a comprehensible and hands-on manner, making complex mathematical concepts accessible to readers. The authors promote the importance of clear, well-designed graphics in the scientific process, with visual representations accompanying the presented classical multivariate statistical methods . The book begins with a preparatory review of univariate statistical methods recast in matrix notation, followed by an accessible introduction to matrix algebra. Subsequent chapters explore fundamental multivariate methods and related key concepts, including: Factor analysis and related methods Multivariate graphics Canonical correlation Hotelling's T-squared Multivariate analysis of variance (MANOVA) Multiple regression and the general linear model (GLM) Each topic is introduced with a research-publication case study that demonstrates its real-world value. Next, the question "how do you do that?" is addressed with a complete, yet simplified, demonstration of the mathematics and concepts of the method. Finally, the authors show how the analysis of the data is performed using Stata®, SAS®, and SPSS®. The discussed approaches are also applicable to a wide variety of modern extensions of multivariate methods as well as modern univariate regression methods. Chapters conclude with conceptual questions about the meaning of each method; computational questions that test the reader's ability to carry out the procedures on simple datasets; and data analysis questions for the use of the discussed software packages. Multivariate Analysis for the Biobehavioral and Social Sciences is an excellent book for behavioral, health, and social science courses on multivariate statistics at the graduate level. The book also serves as a valuable reference for professionals and researchers in the social, behavioral, and health sciences who would like to learn more about multivariate analysis and its relevant applications.

Modern Psychometrics with R

Author : Patrick Mair
Publisher : Springer
ISBN 13 : 3319931776
Total Pages : 458 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Modern Psychometrics with R by : Patrick Mair

Download or read book Modern Psychometrics with R written by Patrick Mair and published by Springer. This book was released on 2018-09-20 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook describes the broadening methodology spectrum of psychological measurement in order to meet the statistical needs of a modern psychologist. The way statistics is used, and maybe even perceived, in psychology has drastically changed over the last few years; computationally as well as methodologically. R has taken the field of psychology by storm, to the point that it can now safely be considered the lingua franca for statistical data analysis in psychology. The goal of this book is to give the reader a starting point when analyzing data using a particular method, including advanced versions, and to hopefully motivate him or her to delve deeper into additional literature on the method. Beginning with one of the oldest psychometric model formulations, the true score model, Mair devotes the early chapters to exploring confirmatory factor analysis, modern test theory, and a sequence of multivariate exploratory method. Subsequent chapters present special techniques useful for modern psychological applications including correlation networks, sophisticated parametric clustering techniques, longitudinal measurements on a single participant, and functional magnetic resonance imaging (fMRI) data. In addition to using real-life data sets to demonstrate each method, the book also reports each method in three parts-- first describing when and why to apply it, then how to compute the method in R, and finally how to present, visualize, and interpret the results. Requiring a basic knowledge of statistical methods and R software, but written in a casual tone, this text is ideal for graduate students in psychology. Relevant courses include methods of scaling, latent variable modeling, psychometrics for graduate students in Psychology, and multivariate methods in the social sciences.

An Introduction to Correspondence Analysis

Author : Eric J. Beh
Publisher : John Wiley & Sons
ISBN 13 : 1119041945
Total Pages : 78 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis An Introduction to Correspondence Analysis by : Eric J. Beh

Download or read book An Introduction to Correspondence Analysis written by Eric J. Beh and published by John Wiley & Sons. This book was released on 2021-03-29 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master the fundamentals of correspondence analysis with this illuminating resource An Introduction to Correspondence Analysis assists researchers in improving their familiarity with the concepts, terminology, and application of several variants of correspondence analysis. The accomplished academics and authors deliver a comprehensive and insightful treatment of the fundamentals of correspondence analysis, including the statistical and visual aspects of the subject. Written in three parts, the book begins by offering readers a description of two variants of correspondence analysis that can be applied to two-way contingency tables for nominal categories of variables. Part Two shifts the discussion to categories of ordinal variables and demonstrates how the ordered structure of these variables can be incorporated into a correspondence analysis. Part Three describes the analysis of multiple nominal categorical variables, including both multiple correspondence analysis and multi-way correspondence analysis. Readers will benefit from explanations of a wide variety of specific topics, for example: Simple correspondence analysis, including how to reduce multidimensional space, measuring symmetric associations with the Pearson Ratio, constructing low-dimensional displays, and detecting statistically significant points Non-symmetrical correspondence analysis, including quantifying asymmetric associations Simple ordinal correspondence analysis, including how to decompose the Pearson Residual for ordinal variables Multiple correspondence analysis, including crisp coding and the indicator matrix, the Burt Matrix, and stacking Multi-way correspondence analysis, including symmetric multi-way analysis Perfect for researchers who seek to improve their understanding of key concepts in the graphical analysis of categorical data, An Introduction to Correspondence Analysis will also assist readers already familiar with correspondence analysis who wish to review the theoretical and foundational underpinnings of crucial concepts.

Discrete Data Analysis with R

Author : Michael Friendly
Publisher : CRC Press
ISBN 13 : 1498725864
Total Pages : 700 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Discrete Data Analysis with R by : Michael Friendly

Download or read book Discrete Data Analysis with R written by Michael Friendly and published by CRC Press. This book was released on 2015-12-16 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Applied Treatment of Modern Graphical Methods for Analyzing Categorical DataDiscrete Data Analysis with R: Visualization and Modeling Techniques for Categorical and Count Data presents an applied treatment of modern methods for the analysis of categorical data, both discrete response data and frequency data. It explains how to use graphical meth

A Course in Statistics with R

Author : Prabhanjan N. Tattar
Publisher : John Wiley & Sons
ISBN 13 : 1119152755
Total Pages : 696 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis A Course in Statistics with R by : Prabhanjan N. Tattar

Download or read book A Course in Statistics with R written by Prabhanjan N. Tattar and published by John Wiley & Sons. This book was released on 2016-03-15 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrates the theory and applications of statistics using R A Course in Statistics with R has been written to bridge the gap between theory and applications and explain how mathematical expressions are converted into R programs. The book has been primarily designed as a useful companion for a Masters student during each semester of the course, but will also help applied statisticians in revisiting the underpinnings of the subject. With this dual goal in mind, the book begins with R basics and quickly covers visualization and exploratory analysis. Probability and statistical inference, inclusive of classical, nonparametric, and Bayesian schools, is developed with definitions, motivations, mathematical expression and R programs in a way which will help the reader to understand the mathematical development as well as R implementation. Linear regression models, experimental designs, multivariate analysis, and categorical data analysis are treated in a way which makes effective use of visualization techniques and the related statistical techniques underlying them through practical applications, and hence helps the reader to achieve a clear understanding of the associated statistical models. Key features: Integrates R basics with statistical concepts Provides graphical presentations inclusive of mathematical expressions Aids understanding of limit theorems of probability with and without the simulation approach Presents detailed algorithmic development of statistical models from scratch Includes practical applications with over 50 data sets

Linear Algebra Tools for Data Mining

Author : Dan A Simovici
Publisher : World Scientific
ISBN 13 : 9814452939
Total Pages : 880 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Linear Algebra Tools for Data Mining by : Dan A Simovici

Download or read book Linear Algebra Tools for Data Mining written by Dan A Simovici and published by World Scientific. This book was released on 2012-01-27 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume presents the foundations of linear algebra ideas and techniques applied to data mining and related fields. Linear algebra has gained increasing importance in data mining and pattern recognition, as shown by the many current data mining publications, and has a strong impact in other disciplines like psychology, chemistry, and biology. The basic material is accompanied by more than 550 exercises and supplements, many accompanied with complete solutions and MATLAB applications. Contents:Linear Algebra:Modules and Linear SpacesMatricesMATLABDeterminantsNorms on Linear SpacesInner Product SpacesConvexityEigenvaluesSimilarity and SpectraSingular ValuesApplications:Graphs and MatricesData Sample MatricesLeast Squares Approximation and Data MiningDimensionality Reduction TechniquesThe k-Means ClusteringSpectral Properties of Graphs and Spectral Clustering Readership: Professionals, academics, and graduate students in pattern recognition and artificial intelligence. Keywords:Data Mining;Linear Algebra;Machine Learning;Pattern RecognitionKey Features:Integrates the mathematical developments to their applications in data mining without sacrificing the mathematical rigorPresented applications with full mathematical justifications and are often accompanied by MATLAB codeHighlights strong links between linear algebra, topology and graph theory because these links are essentially important for applicationsA self-contained book that deals with mathematics that is immediately relevant for data mining

Data Analysis and Rationality in a Complex World

Author : Theodore Chadjipadelis
Publisher : Springer Nature
ISBN 13 : 3030601048
Total Pages : 349 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Data Analysis and Rationality in a Complex World by : Theodore Chadjipadelis

Download or read book Data Analysis and Rationality in a Complex World written by Theodore Chadjipadelis and published by Springer Nature. This book was released on 2021-02-15 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the latest advances in statistics and data science, including theoretical, methodological and computational developments and practical applications related to classification and clustering, data gathering, exploratory and multivariate data analysis, statistical modeling, and knowledge discovery and seeking. It includes contributions on analyzing and interpreting large, complex and aggregated datasets, and highlights numerous applications in economics, finance, computer science, political science and education. It gathers a selection of peer-reviewed contributions presented at the 16th Conference of the International Federation of Classification Societies (IFCS 2019), which was organized by the Greek Society of Data Analysis and held in Thessaloniki, Greece, on August 26-29, 2019.

Visualization and Verbalization of Data

Author : Jorg Blasius
Publisher : CRC Press
ISBN 13 : 1466589817
Total Pages : 382 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Visualization and Verbalization of Data by : Jorg Blasius

Download or read book Visualization and Verbalization of Data written by Jorg Blasius and published by CRC Press. This book was released on 2014-04-10 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Visualization and Verbalization of Data shows how correspondence analysis and related techniques enable the display of data in graphical form, which results in the verbalization of the structures in data. Renowned researchers in the field trace the history of these techniques and cover their current applications.The first part of the book explains

Methods for the Analysis of Asymmetric Proximity Data

Author : Giuseppe Bove
Publisher : Springer Nature
ISBN 13 : 9811631727
Total Pages : 203 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Methods for the Analysis of Asymmetric Proximity Data by : Giuseppe Bove

Download or read book Methods for the Analysis of Asymmetric Proximity Data written by Giuseppe Bove and published by Springer Nature. This book was released on 2021-08-14 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction and practical guidelines to apply asymmetric multidimensional scaling, cluster analysis, and related methods to asymmetric one-mode two-way and three-way asymmetric data. A major objective of this book is to present to applied researchers a set of methods and algorithms for graphical representation and clustering of asymmetric relationships. Data frequently concern measurements of asymmetric relationships between pairs of objects from a given set (e.g., subjects, variables, attributes,...), collected in one or more matrices. Examples abound in many different fields such as psychology, sociology, marketing research, and linguistics and more recently several applications have appeared in technological areas including cybernetics, air traffic control, robotics, and network analysis. The capabilities of the presented algorithms are illustrated by carefully chosen examples and supported by extensive data analyses. A review of the specialized statistical software available for the applications is also provided. This monograph is highly recommended to readers who need a complete and up-to-date reference on methods for asymmetric proximity data analysis.

Measuring and Reasoning

Author : Fred L. Bookstein
Publisher : Cambridge University Press
ISBN 13 : 1107024153
Total Pages : 565 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Measuring and Reasoning by : Fred L. Bookstein

Download or read book Measuring and Reasoning written by Fred L. Bookstein and published by Cambridge University Press. This book was released on 2014-02-28 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of empirical inference presents descriptions of the processes by which scientific measurements support explanations of our world.

Data Mining and Exploration

Author : Chong Ho Alex Yu
Publisher : CRC Press
ISBN 13 : 1000777790
Total Pages : 290 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Data Mining and Exploration by : Chong Ho Alex Yu

Download or read book Data Mining and Exploration written by Chong Ho Alex Yu and published by CRC Press. This book was released on 2022-10-27 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces both conceptual and procedural aspects of cutting-edge data science methods, such as dynamic data visualization, artificial neural networks, ensemble methods, and text mining. There are at least two unique elements that can set the book apart from its rivals. First, most students in social sciences, engineering, and business took at least one class in introductory statistics before learning data science. However, usually these courses do not discuss the similarities and differences between traditional statistics and modern data science; as a result learners are disoriented by this seemingly drastic paradigm shift. In reaction, some traditionalists reject data science altogether while some beginning data analysts employ data mining tools as a “black box”, without a comprehensive view of the foundational differences between traditional and modern methods (e.g., dichotomous thinking vs. pattern recognition, confirmation vs. exploration, single method vs. triangulation, single sample vs. cross-validation etc.). This book delineates the transition between classical methods and data science (e.g. from p value to Log Worth, from resampling to ensemble methods, from content analysis to text mining etc.). Second, this book aims to widen the learner's horizon by covering a plethora of software tools. When a technician has a hammer, every problem seems to be a nail. By the same token, many textbooks focus on a single software package only, and consequently the learner tends to fit the problem with the tool, but not the other way around. To rectify the situation, a competent analyst should be equipped with a tool set, rather than a single tool. For example, when the analyst works with crucial data in a highly regulated industry, such as pharmaceutical and banking, commercial software modules (e.g., SAS) are indispensable. For a mid-size and small company, open-source packages such as Python would come in handy. If the research goal is to create an executive summary quickly, the logical choice is rapid model comparison. If the analyst would like to explore the data by asking what-if questions, then dynamic graphing in JMP Pro is a better option. This book uses concrete examples to explain the pros and cons of various software applications.