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Essential Mathematics and Statistics for Forensic Science

Author: Craig Adam

Publisher: John Wiley & Sons

ISBN: 1119964180

Category: Medical

Page: 366

This text is an accessible, student-friendly introduction to the wide range of mathematical and statistical tools needed by the forensic scientist in the analysis, interpretation and presentation of experimental measurements. From a basis of high school mathematics, the book develops essential quantitative analysis techniques within the context of a broad range of forensic applications. This clearly structured text focuses on developing core mathematical skills together with an understanding of the calculations associated with the analysis of experimental work, including an emphasis on the use of graphs and the evaluation of uncertainties. Through a broad study of probability and statistics, the reader is led ultimately to the use of Bayesian approaches to the evaluation of evidence within the court. In every section, forensic applications such as ballistics trajectories, post-mortem cooling, aspects of forensic pharmacokinetics, the matching of glass evidence, the formation of bloodstains and the interpretation of DNA profiles are discussed and examples of calculations are worked through. In every chapter there are numerous self-assessment problems to aid student learning. Its broad scope and forensically focused coverage make this book an essential text for students embarking on any degree course in forensic science or forensic analysis, as well as an invaluable reference for post-graduate students and forensic professionals. Key features: Offers a unique mix of mathematics and statistics topics, specifically tailored to a forensic science undergraduate degree. All topics illustrated with examples from the forensic science discipline. Written in an accessible, student-friendly way to engage interest and enhance learning and confidence. Assumes only a basic high-school level prior mathematical knowledge.

Forensic Science

Author: Andrew R. W. Jackson,Julie M. Jackson

Publisher: Pearson Education

ISBN: 9780131998803

Category: Law

Page: 464

A clear, comprehensive and authoritative introduction to forensic science.

Statistical Analysis in Forensic Science

Evidential Value of Multivariate Physicochemical Data

Author: Grzegorz Zadora,Agnieszka Martyna,Daniel Ramos,Colin Aitken

Publisher: John Wiley & Sons

ISBN: 1118763181

Category: Mathematics

Page: 336

A practical guide for determining the evidential value ofphysicochemical data Microtraces of various materials (e.g. glass, paint, fibres, andpetroleum products) are routinely subjected to physicochemicalexamination by forensic experts, whose role is to evaluate suchphysicochemical data in the context of the prosecution and defencepropositions. Such examinations return various kinds ofinformation, including quantitative data. From the forensic pointof view, the most suitable way to evaluate evidence is thelikelihood ratio. This book provides a collection of recentapproaches to the determination of likelihood ratios and describessuitable software, with documentation and examples of their use inpractice. The statistical computing and graphics softwareenvironment R, pre-computed Bayesian networks using HuginResearcher and a new package, calcuLatoR, for thecomputation of likelihood ratios are all explored. Statistical Analysis in Forensic Science will provide aninvaluable practical guide for forensic experts and practitioners,forensic statisticians, analytical chemists, andchemometricians. Key features include: Description of the physicochemical analysis of forensic traceevidence. Detailed description of likelihood ratio models for determiningthe evidential value of multivariate physicochemicaldata. Detailed description of methods, such as empiricalcross-entropy plots, for assessing the performance of likelihoodratio-based methods for evidence evaluation. Routines written using the open-source R software, aswell as Hugin Researcher and calcuLatoR. Practical examples and recommendations for the use of all thesemethods in practice.

Essential Mathematics and Statistics for Science

Author: Dr. Graham Currell,Dr. Antony Dowman

Publisher: Wiley

ISBN: 9780470022283

Category: Science

Page: 360

Basic Mathematics and Statistics for Science is a low-level introduction to the essential techniques students need to understand. It assumes little prior knowledge, and adopts a gentle approach that leads through examples in the book and website. No other text provides this range of educational support for science students. The integration between book and website provides study options that would be impossible through a book alone, and allows students to study in ways that suit their own circumstances and preferences. The combination of book and website also provides ready-prepared material for lectures, tutorials and computer practicals. Tutors can use the material to develop a variety of coherent programme using different learning styles. The book develops the mathematics and statistics through examples and questions that reflect the scientific context, and has succeeded in being relevant to a range of undergraduate science programmes.

Introduction to Statistics for Forensic Scientists

Author: David Lucy

Publisher: John Wiley & Sons

ISBN: 1118700104

Category: Medical

Page: 272

Introduction to Statistics for Forensic Scientists is anessential introduction to the subject, gently guiding the readerthrough the key statistical techniques used to evaluate varioustypes of forensic evidence. Assuming only a modest mathematicalbackground, the book uses real-life examples from the forensicscience literature and forensic case-work to illustrate relevantstatistical concepts and methods. Opening with a brief overview of the history and use ofstatistics within forensic science, the text then goes on tointroduce statistical techniques commonly used to examine dataobtained during laboratory experiments. There is a strong emphasison the evaluation of scientific observation as evidence and modernBayesian approaches to interpreting forensic data for the courts.The analysis of key forms of evidence are discussed throughout witha particular focus on DNA, fibres and glass. An invaluable introduction to the statistical interpretation offorensic evidence; this book will be invaluable for allundergraduates taking courses in forensic science. Introduction to the key statistical techniques used in theevaluation of forensic evidence Includes end of chapter exercises to enhance studentunderstanding Numerous examples taken from forensic science to put thesubject into context

Statistik für Dummies

Author: Deborah Rumsey

Publisher: John Wiley & Sons

ISBN: 3527705945

Category: Mathematics

Page: 352

Entdecken Sie mit "Statistik für Dummies" Ihren Spaß an der Statistik und werfen Sie einen Blick hinter die Kulissen der so beliebten Manipulation von Zahlenmaterial! Deborah Rumsey zeigt Ihnen das nötige statistische Handwerkszeug wie Stichprobe, Wahrscheinlichkeit, Bias, Median, Durchschnitt und Korrelation. Sie lernen die verschiedenen grafischen Darstellungsmöglichkeiten von statistischem Material kennen und werden über die unterschiedlichen Methoden der Auswertung erstaunt sein. Schärfen Sie mit diesem Buch Ihr Bewusstsein für Zahlen und deren Interpretation, so dass Ihnen keiner mehr etwas vormachen kann!

Math Refresher for Scientists and Engineers

Author: John R. Fanchi

Publisher: John Wiley & Sons

ISBN: 0471791547

Category: Mathematics

Page: 330

Expanded coverage of essential math, including integral equations,calculus of variations, tensor analysis, and specialintegrals Math Refresher for Scientists and Engineers, Third Edition isspecifically designed as a self-study guide to help busyprofessionals and students in science and engineering quicklyrefresh and improve the math skills needed to perform their jobsand advance their careers. The book focuses on practicalapplications and exercises that readers are likely to face in theirprofessional environments. All the basic math skills needed tomanage contemporary technology problems are addressed and presentedin a clear, lucid style that readers familiar with previouseditions have come to appreciate and value. The book begins with basic concepts in college algebra andtrigonometry, and then moves on to explore more advanced conceptsin calculus, linear algebra (including matrices), differentialequations, probability, and statistics. This Third Edition has beengreatly expanded to reflect the needs of today's professionals. Newmaterial includes: * A chapter on integral equations * A chapter on calculus of variations * A chapter on tensor analysis * A section on time series * A section on partial fractions * Many new exercises and solutions Collectively, the chapters teach most of the basic math skillsneeded by scientists and engineers. The wide range of topicscovered in one title is unique. All chapters provide a review ofimportant principles and methods. Examples, exercises, andapplications are used liberally throughout to engage the readersand assist them in applying their new math skills to actualproblems. Solutions to exercises are provided in an appendix. Whether to brush up on professional skills or prepare for exams,readers will find this self-study guide enables them to quicklymaster the math they need. It can additionally be used as atextbook for advanced-level undergraduates in physics andengineering.

Essential Maths for Geoscientists

An Introduction

Author: Paul I. Palmer

Publisher: John Wiley & Sons

ISBN: 0470971932

Category: Mathematics

Page: 216

"Essential Maths for Geoscientists: An Introduction" is an accessible, student-friendly introduction to the mathematics required by those students taking degree courses within the geosciences. Clearly structured throughout, this book carefully guides students step by step through the first mathematics they will encounter and provides numerous applied examples throughout to enhance students' understanding and to place each technique in context. Opening with a chapter explaining the need for studying mathematics within geosciences, this book then moves on to cover algebra, solving equations, logarithms and exponentials, uncertainties, errors and statistics, trigonometry, vectors and basic calculus. The final chapter helps to bring the subject all together and provides detailed applied questions to test students' knowledge. Worked applied examples are included in each chapter along with applied problem questions which are a mix of straightforward maths questions, word questions and more involved questions that involve the manipulation and interpretation of real and synthetic data. The emphasis in the book is on the application of relatively rudimentary mathematics to real-life scientific problems within the geosciences, enabling students to make use of current-day research problems and real datasets.

Essential Statistics for the Pharmaceutical Sciences

Author: Philip Rowe

Publisher: John Wiley & Sons

ISBN: 1118913418

Category: Medical

Page: 432

Essential Statistics for the Pharmaceutical Sciences is targeted at all those involved in research in pharmacology, pharmacy or other areas of pharmaceutical science; everybody from undergraduate project students to experienced researchers should find the material they need. This book will guide all those who are not specialist statisticians in using sound statistical principles throughout the whole journey of a research project - designing the work, selecting appropriate statistical methodology and correctly interpreting the results. It deliberately avoids detailed calculation methodology. Its key features are friendliness and clarity. All methods are illustrated with realistic examples from within pharmaceutical science. This edition now includes expanded coverage of some of the topics included in the first edition and adds some new topics relevant to pharmaceutical research. a clear, accessible introduction to the key statistical techniques used within the pharmaceutical sciences all examples set in relevant pharmaceutical contexts. key points emphasised in summary boxes and warnings of potential abuses in ‘pirate boxes’. supplementary material - full data sets and detailed instructions for carrying out analyses using packages such as SPSS or Minitab – provided at www.ljmu.ac.uk/pbs/rowestats/ An invaluable introduction to statistics for any science student and an essential text for all those involved in pharmaceutical research at whatever level.

Essentials of Mathematical Methods in Science and Engineering

Author: S. Selçuk Bayin

Publisher: John Wiley & Sons

ISBN: 1118626168

Category: Mathematics

Page: 802

A complete introduction to the multidisciplinary applications ofmathematical methods In order to work with varying levels of engineering and physicsresearch, it is important to have a firm understanding of keymathematical concepts such as advanced calculus, differentialequations, complex analysis, and introductory mathematical physics.Essentials of Mathematical Methods in Science andEngineering provides a comprehensive introduction to thesemethods under one cover, outlining basic mathematical skills whilealso encouraging students and practitioners to develop new,interdisciplinary approaches to their research. The book begins with core topics from various branches ofmathematics such as limits, integrals, and inverse functions.Subsequent chapters delve into the analytical tools that arecommonly used in scientific and engineering studies, includingvector analysis, generalized coordinates, determinants andmatrices, linear algebra, complex numbers, complex analysis, andFourier series. The author provides an extensive chapter onprobability theory with applications to statistical mechanics andthermodynamics that complements the following chapter oninformation theory, which contains coverage of Shannon's theory,decision theory, game theory, and quantum information theory. Acomprehensive list of references facilitates further exploration ofthese topics. Throughout the book, numerous examples and exercises reinforcethe presented concepts and techniques. In addition, the book is ina modular format, so each chapter covers its subject thoroughly andcan be read independently. This structure affords flexibility forindividualizing courses and teaching. Providing a solid foundation and overview of the variousmathematical methods and applications in multidisciplinaryresearch, Essentials of Mathematical Methods in Science andEngineering is an excellent text for courses in physics,science, mathematics, and engineering at the upper-undergraduateand graduate levels. It also serves as a useful reference forscientists and engineers who would like a practical review ofmathematical methods.

Statistics and Probability with Applications for Engineers and Scientists

Author: Bhisham C. Gupta,Irwin Guttman

Publisher: John Wiley & Sons

ISBN: 1118522206

Category: Mathematics

Page: 896

Introducing the tools of statistics and probabilityfrom the ground up An understanding of statistical tools is essential for engineersand scientists who often need to deal with data analysis over thecourse of their work. Statistics and Probability withApplications for Engineers and Scientists walks readers througha wide range of popular statistical techniques, explainingstep-by-step how to generate, analyze, and interpret data fordiverse applications in engineering and the natural sciences. Unique among books of this kind, Statistics and Probabilitywith Applications for Engineers and Scientists coversdescriptive statistics first, then goes on to discuss thefundamentals of probability theory. Along with case studies,examples, and real-world data sets, the book incorporates clearinstructions on how to use the statistical packages Minitab®and Microsoft® Office Excel® to analyze various datasets. The book also features: • Detailed discussions on sampling distributions,statistical estimation of population parameters, hypothesistesting, reliability theory, statistical quality control includingPhase I and Phase II control charts, and process capabilityindices • A clear presentation of nonparametric methods andsimple and multiple linear regression methods, as well as a briefdiscussion on logistic regression method • Comprehensive guidance on the design of experiments,including randomized block designs, one- and two-way layoutdesigns, Latin square designs, random effects and mixed effectsmodels, factorial and fractional factorial designs, and responsesurface methodology • A companion website containing data sets for Minitaband Microsoft Office Excel, as well as JMP ® routines andresults Assuming no background in probability and statistics,Statistics and Probability with Applications for Engineers andScientists features a unique, yet tried-and-true, approach thatis ideal for all undergraduate students as well as statisticalpractitioners who analyze and illustrate real-world data inengineering and the natural sciences.

The Essentials of Biostatistics for Physicians, Nurses, and Clinicians

Author: Michael R. Chernick

Publisher: John Wiley & Sons

ISBN: 1118071948

Category: Medical

Page: 228

A fundamental and straightforward guide to using and understanding statistical concepts in medical research Designed specifically for healthcare practitioners who need to understand basic biostatistics but do not have much time to spare, The Essentials of Biostatistics for Physicians, Nurses and Clinicians presents important statistical methods used in today's biomedical research and provides insight on their appropriate application. Rather than provide detailed mathematics for each of these methods, the book emphasizes what healthcare practitioners need to know to interpret and incorporate the latest biomedical research into their practices. The author draws from his own experience developing and teaching biostatistics courses for physicians and nurses, offering a presentation that is non-technical and accessible. The book begins with a basic introduction to the relationship between biostatistics and medical research, asking the question "why study statistics?," while also exploring the significance of statisitcal methods in medical literature and clinical trials research. Subsequent chapters explore key topics, including: Correlation, regression, and logistic regression Diagnostics Estimating means and proportions Normal distribution and the central limit theorem Sampling from populations Contingency tables Meta-analysis Nonparametric methods Survival analysis Throughout the book, statistical methods that are often utilized in biomedical research are outlined, including repeated measures analysis of variance, hazard ratios, contingency tables, log rank tests, bioequivalence, cross-over designs, selection bias, and group sequential methods. Exercise sets at the end of each chapter allow readers to test their comprehension of the presented concepts and techniques. The Essentials of Biostatistics for Physicians, Nurses, and Clinicians is an excellent reference for doctors, nurses, and other practicing clinicians in the fields of medicine, public health, pharmacy, and the life sciences who need to understand and apply statistical methods in their everyday work. It also serves as a suitable supplement for courses on biostatistics at the upper-undergraduate and graduate levels.

Maths from Scratch for Biologists

Author: Alan J. Cann

Publisher: John Wiley & Sons

ISBN: 1118685709

Category: Science

Page: 240

Numerical ability is an essential skill for everyone studying thebiological sciences but many students are frightened by the'perceived' difficulty of mathematics, and are nervous aboutapplying mathematical skills in their chosen field of study. Havingtaught introductory maths and statistics for many years, Alan Cannunderstands these challenges and just how invaluable an accessible,confidence building textbook could be to the fearful student.Unable to find a book pitched at the right level, that concentratedon why numerical skills are useful to biologists, he wrote his own.The result is Maths from Scratch for Biologists , a highlyinstructive, informal text that explains step by step how and whyyou need to tackle maths within the biological sciences. Features: * An accessible, jargon-busting approach to help readers masterbasic mathematical, statistical and data handling techniques inbiology * Numerous end of chapter problems to reinforce key concepts andencourage students to test their newly acquired skills throughpractise * A handy, time-saving glossary * A supplementary website with numerous problems and self-testexercises

Methods and Applications of Statistics in the Atmospheric and Earth Sciences

Author: N. Balakrishnan

Publisher: John Wiley & Sons

ISBN: 0470503440

Category: Business & Economics

Page: 362

"Presenting a concise, well-rounded focus on the statistical concepts and applications that are essential for understanding gathered data in the earth and atmospheric sciences. Containing contributions from over 100 leading academics, researchers, and practitioners in these fields, this comprehensive book unveils modern, approaches to the acquisition and analysis of data across diverse subject areas like geology, agriculture, animal science, and geophysics. It discusses techniques related to survey methodology, computational statistics, and operations research and covers new areas of interest like non-linear weather forecasting, construction geological surveys, and water pollution assessment"--

Statistical Methods in Practice

For Scientists and Technologists

Author: Richard Boddy,Gordon Smith

Publisher: John Wiley & Sons

ISBN: 0470746645

Category: Mathematics

Page: 236

"This book presents a broad range of methods which form the core of a statistical toolkit required by scientists and technologists, including descriptive statistics (e.g. mean, median, standard deviation), inference (confidence intervals), significancetesting for one mean, two means, two standard deviations, distributions (Normal, Binomial, Poisson), exploratory data analysis (box plots), nonparametric methods, regression and correlation, cusum charts for plotting data over time and detecting changesAhands-on, practical approach to statistics for those with little background in the subject Introduces a broad range of methods which form the core of a statistical toolkit required by scientists and technologists, presented from descriptive statisticsto nonparametric methods Includes a supporting website, providing software to aid tutorials Based on practical courses given to scientists and technologists of all levels Combines realistic case studies and examples with a practical approach to statistical analysis"--Provided by publisher.

The Essential R Reference

Author: Mark Gardener

Publisher: John Wiley & Sons

ISBN: 1118391381

Category: Computers

Page: 576

An essential library of basic commands you can copy and pasteinto R The powerful and open-source statistical programming language Ris rapidly growing in popularity, but it requires that you type incommands at the keyboard rather than use a mouse, so you have tolearn the language of R. But there is a shortcut, and that's wherethis unique book comes in. A companion book to Visualize This:The FlowingData Guide to Design, Visualization, and Statistics,this practical reference is a library of basic R commands that youcan copy and paste into R to perform many types of statisticalanalyses. Whether you're in technology, science, medicine, business, orengineering, you can quickly turn to your topic in this handy bookand find the commands you need. Comprehensive command reference for the R programming languageand a companion book to Visualize This: The FlowingData Guide toDesign, Visualization, and Statistics Combines elements of a dictionary, glossary, and thesaurus forthe R language Provides easy accessibility to the commands you need, by topic,which you can cut and paste into R as needed Covers getting, saving, examining, and manipulating data;statistical test and math; and all the things you can do withgraphs Also includes a collection of utilities that you'll finduseful Simplify the complex statistical R programming language withThe Essential R Reference. .

Essentials of Statistics for the Social and Behavioral Sciences

Author: Barry H. Cohen,R. Brooke Lea

Publisher: John Wiley & Sons

ISBN: 0471480762

Category: Psychology

Page: 291

Master the essential statistical skills used in social andbehavioral sciences Essentials of Statistics for the Social and Behavioral Sciencesdistills the overwhelming amount of material covered inintroductory statistics courses into a handy, practical resourcefor students and professionals. This accessible guide covers basicto advanced concepts in a clear, concrete, and readablestyle. Essentials of Statistics for the Social and Behavioral Sciencesguides you to a better understanding of basic concepts ofstatistical methods. Numerous practical tips are presented forselecting appropriate statistical procedures. In addition, thisuseful guide demonstrates how to evaluate and interpret statisticaldata, provides numerous formulas for calculating statistics fromtables of summary statistics, and offers a variety of workedexamples. As part of the Essentials of Behavioral Science series, this bookoffers a thorough review of the most relevant statistical conceptsand techniques that will arm you with the tools you'll need forknowledgeable, informed practice. Each concise chapter featuresnumerous callout boxes highlighting key concepts, bulleted points,and extensive illustrative material, as well as "Test Yourself"questions that help you gauge and reinforce your grasp of theinformation covered.

Nonparametric Statistics with Applications to Science and Engineering

Author: Paul H. Kvam,Brani Vidakovic

Publisher: John Wiley & Sons

ISBN: 9780470168691

Category: Mathematics

Page: 448

A thorough and definitive book that fully addresses traditional and modern-day topics of nonparametric statistics This book presents a practical approach to nonparametric statistical analysis and provides comprehensive coverage of both established and newly developed methods. With the use of MATLAB, the authors present information on theorems and rank tests in an applied fashion, with an emphasis on modern methods in regression and curve fitting, bootstrap confidence intervals, splines, wavelets, empirical likelihood, and goodness-of-fit testing. Nonparametric Statistics with Applications to Science and Engineering begins with succinct coverage of basic results for order statistics, methods of categorical data analysis, nonparametric regression, and curve fitting methods. The authors then focus on nonparametric procedures that are becoming more relevant to engineering researchers and practitioners. The important fundamental materials needed to effectively learn and apply the discussed methods are also provided throughout the book. Complete with exercise sets, chapter reviews, and a related Web site that features downloadable MATLAB applications, this book is an essential textbook for graduate courses in engineering and the physical sciences and also serves as a valuable reference for researchers who seek a more comprehensive understanding of modern nonparametric statistical methods.

Essentials of Planning, Selecting, and Tailoring Interventions for Unique Learners

Author: Jennifer T. Mascolo,Vincent C. Alfonso,Dawn P. Flanagan

Publisher: John Wiley & Sons

ISBN: 1118417356

Category: Psychology

Page: 496

A Resource for Designing and Implementing Intervention Programsfor At-Risk Learners This authoritative resource provides step-by-step procedures forplanning, selecting, and tailoring interventions for at-risklearners with a unique focus on how to individualize interventionsusing actual case examples. In addition, this volume offersguidelines for gathering and interpreting data in a manner thatassists in identifying targets for intervention and rich discussionand information relating to specific academic, cognitive, andbehavioral manifestations of students with learning difficulties inreading, math, writing, and oral language. Practitioners will alsorecognize and learn how to intervene with students from underservedand mis-served populations who are at risk for learning failureincluding English-language learners and students from impoverishedenvironments. Each chapter describes how specific difficulties interfere withclassroom tasks and explain how to select, modify, or otherwisetailor an intervention based on that information. As with allvolumes in the Essentials of Psychological Assessmentseries, this volume includes callout boxes highlighting keyconcepts, extensive illustrative material, and test questions. Thecompanion CD-ROM provides additional worksheets, case studies, andhandouts.

Geostatistics for Environmental Scientists

Author: Richard Webster,Margaret A. Oliver

Publisher: John Wiley & Sons

ISBN: 9780470517260

Category: Mathematics

Page: 330

Geostatistics is essential for environmental scientists. Weather and climate vary from place to place, soil varies at every scale at which it is examined, and even man-made attributes – such as the distribution of pollution – vary. The techniques used in geostatistics are ideally suited to the needs of environmental scientists, who use them to make the best of sparse data for prediction, and top plan future surveys when resources are limited. Geostatistical technology has advanced much in the last few years and many of these developments are being incorporated into the practitioner’s repertoire. This second edition describes these techniques for environmental scientists. Topics such as stochastic simulation, sampling, data screening, spatial covariances, the variogram and its modeling, and spatial prediction by kriging are described in rich detail. At each stage the underlying theory is fully explained, and the rationale behind the choices given, allowing the reader to appreciate the assumptions and constraints involved.