Designing Experiments & Games of Chance

Designing Experiments & Games of Chance

Author: William R. Shea

Publisher: Science History Publications/USA

Published: 2003

Total Pages: 374

ISBN-13: 9780881353761

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"During his comparatively brief life (he died at thirty-nine, the age Mozart was to die) Blaise Pascal devoted his unusual talents to mathematics, physics and religion. His religious views are still widely discussed, and the general interest in this aspect of his life may be responsible for the fact that his mathematical and scientific achievements are less known. Those who are familiar with his Pensées, which are fragments of an intended Apology for Christianity, have had little opportunity of acquiring a just appreciation of the originality of his thought in physics and probability theory. This book fills this gap by describing Pascal’s work in a way that is accessible to anyone interested in his contribution to modern science and his attempt to tame Lady Luck. The words “Unconventional Science” in the subtitle of the book are meant as a reminder of the radically different way of looking at nature that was developed by Pascal and his contemporaries. The first seven chapters examine Pascal’s ingenious experiments to show that a vacuum can be produced, an idea that led him to ascend a mountain with a barometer to prove that we lived submerged under a sea of air. Chapter eight considers his bold views on the advancement of science and religion, and chapter nine his new philosophy of experimental science. The concluding chapters offer an insight into his pioneering work in the theory of probability and his willingness to help a friend who was a keen gambler but no mathematician. Pascal even applied his calculation of the odds at games of chance to the problem of personal destiny and the existence of God. Walking in his footsteps, the reader not only discovers the new world of experimental science but learns to play for high stakes."--Publisher's description.


Reading Galileo

Reading Galileo

Author: Renée Raphael

Publisher: JHU Press

Published: 2017-03-15

Total Pages: 279

ISBN-13: 1421421771

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How did early modern scientists interpret Galileo’s influential Two New Sciences? In 1638, Galileo was over seventy years old, blind, and confined to house arrest outside of Florence. With the help of friends and family, he managed to complete and smuggle to the Netherlands a manuscript that became his final published work, Two New Sciences. Treating diverse subjects that became the foundations of mechanical engineering and physics, this book is often depicted as the definitive expression of Galileo’s purportedly modern scientific agenda. In Reading Galileo, Renée Raphael offers a new interpretation of Two New Sciences which argues instead that the work embodied no such coherent canonical vision. Raphael alleges that it was written—and originally read—as the eclectic product of the types of discursive textual analysis and meandering descriptive practices Galileo professed to reject in favor of more qualitative scholarship. Focusing on annotations period readers left in the margins of extant copies and on the notes and teaching materials of seventeenth-century university professors whose lessons were influenced by Galileo’s text, Raphael explores the ways in which a range of early-modern readers, from ordinary natural philosophers to well-known savants, responded to Galileo. She highlights the contrast between the practices of Galileo’s actual readers, who followed more traditional, “bookish” scholarly methods, and their image, constructed by Galileo and later historians, as “modern” mathematical experimenters. Two New Sciences has not previously been the subject of such rigorous attention and analysis. Reading Galileo considerably changes our understanding of Galileo’s important work while offering a well-executed case study in the reception of an early-modern scientific classic. This important text will be of interest to a wide range of historians—of science, of scholarly practices and the book, and of early-modern intellectual and cultural history.


Statistical Design and Analysis of Experiments

Statistical Design and Analysis of Experiments

Author: Robert L. Mason

Publisher: John Wiley & Sons

Published: 2003-05-09

Total Pages: 752

ISBN-13: 0471458511

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Emphasizes the strategy of experimentation, data analysis, and the interpretation of experimental results. Features numerous examples using actual engineering and scientific studies. Presents statistics as an integral component of experimentation from the planning stage to the presentation of the conclusions. Deep and concentrated experimental design coverage, with equivalent but separate emphasis on the analysis of data from the various designs. Topics can be implemented by practitioners and do not require a high level of training in statistics. New edition includes new and updated material and computer output.


Introduction to Statistical Methods, Design of Experiments and Statistical Quality Control

Introduction to Statistical Methods, Design of Experiments and Statistical Quality Control

Author: Dharmaraja Selvamuthu

Publisher: Springer

Published: 2018-09-03

Total Pages: 445

ISBN-13: 9811317364

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This book provides an accessible presentation of concepts from probability theory, statistical methods, the design of experiments and statistical quality control. It is shaped by the experience of the two teachers teaching statistical methods and concepts to engineering students, over a decade. Practical examples and end-of-chapter exercises are the highlights of the text as they are purposely selected from different fields. Statistical principles discussed in the book have great relevance in several disciplines like economics, commerce, engineering, medicine, health-care, agriculture, biochemistry, and textiles to mention a few. A large number of students with varied disciplinary backgrounds need a course in basics of statistics, the design of experiments and statistical quality control at an introductory level to pursue their discipline of interest. No previous knowledge of probability or statistics is assumed, but an understanding of calculus is a prerequisite. The whole book serves as a master level introductory course in all the three topics, as required in textile engineering or industrial engineering. Organised into 10 chapters, the book discusses three different courses namely statistics, the design of experiments and quality control. Chapter 1 is the introductory chapter which describes the importance of statistical methods, the design of experiments and statistical quality control. Chapters 2–6 deal with statistical methods including basic concepts of probability theory, descriptive statistics, statistical inference, statistical test of hypothesis and analysis of correlation and regression. Chapters 7–9 deal with the design of experiments including factorial designs and response surface methodology, and Chap. 10 deals with statistical quality control.


Beyond the Wager

Beyond the Wager

Author: Douglas Groothuis

Publisher: InterVarsity Press

Published: 2024-04-02

Total Pages: 147

ISBN-13: 1514001799

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There was more to Blaise Pascal than his "wager," an argument about the existence of God. In this accessible study, philosopher Douglas Groothuis introduces readers to Pascal's life as well as the breadth of his intellectual pursuits, overviewing the key points of his Pensées and exploring his views on culture, politics, and more.


Fundamentals of Statistical Experimental Design and Analysis

Fundamentals of Statistical Experimental Design and Analysis

Author: Robert G. Easterling

Publisher: John Wiley & Sons

Published: 2015-09-08

Total Pages: 268

ISBN-13: 1118954637

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Professionals in all areas – business; government; the physical, life, and social sciences; engineering; medicine, etc. – benefit from using statistical experimental design to better understand their worlds and then use that understanding to improve the products, processes, and programs they are responsible for. This book aims to provide the practitioners of tomorrow with a memorable, easy to read, engaging guide to statistics and experimental design. This book uses examples, drawn from a variety of established texts, and embeds them in a business or scientific context, seasoned with a dash of humor, to emphasize the issues and ideas that led to the experiment and the what-do-we-do-next? steps after the experiment. Graphical data displays are emphasized as means of discovery and communication and formulas are minimized, with a focus on interpreting the results that software produce. The role of subject-matter knowledge, and passion, is also illustrated. The examples do not require specialized knowledge, and the lessons they contain are transferrable to other contexts. Fundamentals of Statistical Experimental Design and Analysis introduces the basic elements of an experimental design, and the basic concepts underlying statistical analyses. Subsequent chapters address the following families of experimental designs: Completely Randomized designs, with single or multiple treatment factors, quantitative or qualitative Randomized Block designs Latin Square designs Split-Unit designs Repeated Measures designs Robust designs Optimal designs Written in an accessible, student-friendly style, this book is suitable for a general audience and particularly for those professionals seeking to improve and apply their understanding of experimental design.


Design of Experiments in Chemical Engineering

Design of Experiments in Chemical Engineering

Author: Zivorad R. Lazic

Publisher: John Wiley & Sons

Published: 2006-03-06

Total Pages: 620

ISBN-13: 3527604596

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While existing books related to DOE are focused either on process or mixture factors or analyze specific tools from DOE science, this text is structured both horizontally and vertically, covering the three most common objectives of any experimental research: * screening designs * mathematical modeling, and * optimization. Written in a simple and lively manner and backed by current chemical product studies from all around the world, the book elucidates basic concepts of statistical methods, experiment design and optimization techniques as applied to chemistry and chemical engineering. Throughout, the focus is on unifying the theory and methodology of optimization with well-known statistical and experimental methods. The author draws on his own experience in research and development, resulting in a work that will assist students, scientists and engineers in using the concepts covered here in seeking optimum conditions for a chemical system or process. With 441 tables, 250 diagrams, as well as 200 examples drawn from current chemical product studies, this is an invaluable and convenient source of information for all those involved in process optimization.


Design and Analysis of Experiments, Volume 1

Design and Analysis of Experiments, Volume 1

Author: Klaus Hinkelmann

Publisher: John Wiley & Sons

Published: 2007-12-17

Total Pages: 678

ISBN-13: 0471727563

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This user-friendly new edition reflects a modern and accessible approach to experimental design and analysis Design and Analysis of Experiments, Volume 1, Second Edition provides a general introduction to the philosophy, theory, and practice of designing scientific comparative experiments and also details the intricacies that are often encountered throughout the design and analysis processes. With the addition of extensive numerical examples and expanded treatment of key concepts, this book further addresses the needs of practitioners and successfully provides a solid understanding of the relationship between the quality of experimental design and the validity of conclusions. This Second Edition continues to provide the theoretical basis of the principles of experimental design in conjunction with the statistical framework within which to apply the fundamental concepts. The difference between experimental studies and observational studies is addressed, along with a discussion of the various components of experimental design: the error-control design, the treatment design, and the observation design. A series of error-control designs are presented based on fundamental design principles, such as randomization, local control (blocking), the Latin square principle, the split-unit principle, and the notion of factorial treatment structure. This book also emphasizes the practical aspects of designing and analyzing experiments and features: Increased coverage of the practical aspects of designing and analyzing experiments, complete with the steps needed to plan and construct an experiment A case study that explores the various types of interaction between both treatment and blocking factors, and numerical and graphical techniques are provided to analyze and interpret these interactions Discussion of the important distinctions between two types of blocking factors and their role in the process of drawing statistical inferences from an experiment A new chapter devoted entirely to repeated measures, highlighting its relationship to split-plot and split-block designs Numerical examples using SAS® to illustrate the analyses of data from various designs and to construct factorial designs that relate the results to the theoretical derivations Design and Analysis of Experiments, Volume 1, Second Edition is an ideal textbook for first-year graduate courses in experimental design and also serves as a practical, hands-on reference for statisticians and researchers across a wide array of subject areas, including biological sciences, engineering, medicine, pharmacology, psychology, and business.


The Theory of the Design of Experiments

The Theory of the Design of Experiments

Author: D.R. Cox

Publisher: CRC Press

Published: 2000-06-06

Total Pages: 337

ISBN-13: 1420035835

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Why study the theory of experiment design? Although it can be useful to know about special designs for specific purposes, experience suggests that a particular design can rarely be used directly. It needs adaptation to accommodate the circumstances of the experiment. Successful designs depend upon adapting general theoretical principles to the spec