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Response Surfaces, Mixtures, and Ridge Analyses

Author: George E. P. Box

Publisher: John Wiley & Sons

Published: 2007-01-22

Total Pages: 880

ISBN-13: 047007275X

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The authority on building empirical models and the fitting of such surfaces to data—completely updated and revised Revising and updating a volume that represents the essential source on building empirical models, George Box and Norman Draper—renowned authorities in this field—continue to set the standard with the Second Edition of Response Surfaces, Mixtures, and Ridge Analyses, providing timely new techniques, new exercises, and expanded material. A comprehensive introduction to building empirical models, this book presents the general philosophy and computational details of a number of important topics, including factorial designs at two levels; fitting first and second-order models; adequacy of estimation and the use of transformation; and occurrence and elucidation of ridge systems. Substantially rewritten, the Second Edition reflects the emergence of ridge analysis of second-order response surfaces as a very practical tool that can be easily applied in a variety of circumstances. This unique, fully developed coverage of ridge analysis—a technique for exploring quadratic response surfaces including surfaces in the space of mixture ingredients and/or subject to linear restrictions—includes MINITAB® routines for performing the calculations for any number of dimensions. Many additional figures are included in the new edition, and new exercises (many based on data from published papers) offer insight into the methods used. The exercises and their solutions provide a variety of supplementary examples of response surface use, forming an extremely important component of the text. Response Surfaces, Mixtures, and Ridge Analyses, Second Edition presents material in a logical and understandable arrangement and includes six new chapters covering an up-to-date presentation of standard ridge analysis (without restrictions); design and analysis of mixtures experiments; ridge analysis methods when there are linear restrictions in the experimental space including the mixtures experiments case, with or without further linear restrictions; and canonical reduction of second-order response surfaces in the foregoing general case. Additional features in the new edition include: New exercises with worked answers added throughout An extensive revision of Chapter 5: Blocking and Fractionating 2k Designs Additional discussion on the projection of two-level designs into lower dimensional spaces This is an ideal reference for researchers as well as a primary text for Response Surface Methodology graduate-level courses and a supplementary text for Design of Experiments courses at the upper-undergraduate and beginning-graduate levels.

Book Synopsis Response Surfaces, Mixtures, and Ridge Analyses by : George E. P. Box

Download or read book Response Surfaces, Mixtures, and Ridge Analyses written by George E. P. Box and published by John Wiley & Sons. This book was released on 2007-01-22 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authority on building empirical models and the fitting of such surfaces to data—completely updated and revised Revising and updating a volume that represents the essential source on building empirical models, George Box and Norman Draper—renowned authorities in this field—continue to set the standard with the Second Edition of Response Surfaces, Mixtures, and Ridge Analyses, providing timely new techniques, new exercises, and expanded material. A comprehensive introduction to building empirical models, this book presents the general philosophy and computational details of a number of important topics, including factorial designs at two levels; fitting first and second-order models; adequacy of estimation and the use of transformation; and occurrence and elucidation of ridge systems. Substantially rewritten, the Second Edition reflects the emergence of ridge analysis of second-order response surfaces as a very practical tool that can be easily applied in a variety of circumstances. This unique, fully developed coverage of ridge analysis—a technique for exploring quadratic response surfaces including surfaces in the space of mixture ingredients and/or subject to linear restrictions—includes MINITAB® routines for performing the calculations for any number of dimensions. Many additional figures are included in the new edition, and new exercises (many based on data from published papers) offer insight into the methods used. The exercises and their solutions provide a variety of supplementary examples of response surface use, forming an extremely important component of the text. Response Surfaces, Mixtures, and Ridge Analyses, Second Edition presents material in a logical and understandable arrangement and includes six new chapters covering an up-to-date presentation of standard ridge analysis (without restrictions); design and analysis of mixtures experiments; ridge analysis methods when there are linear restrictions in the experimental space including the mixtures experiments case, with or without further linear restrictions; and canonical reduction of second-order response surfaces in the foregoing general case. Additional features in the new edition include: New exercises with worked answers added throughout An extensive revision of Chapter 5: Blocking and Fractionating 2k Designs Additional discussion on the projection of two-level designs into lower dimensional spaces This is an ideal reference for researchers as well as a primary text for Response Surface Methodology graduate-level courses and a supplementary text for Design of Experiments courses at the upper-undergraduate and beginning-graduate levels.

Response Surface Methodology and Related Topics

Author: Andr I. Khuri

Publisher: World Scientific

Published: 2006

Total Pages: 474

ISBN-13: 9812774734

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This is the first edited volume on response surface methodology (RSM). It contains 17 chapters written by leading experts in the field and covers a wide variety of topics ranging from areas in classical RSM to more recent modeling approaches within the framework of RSM, including the use of generalized linear models. Topics covering particular aspects of robust parameter design, response surface optimization, mixture experiments, and a variety of new graphical approaches in RSM are also included. The main purpose of this volume is to provide an overview of the key ideas that have shaped RSM, and to bring attention to recent research directions and developments in RSM, which can have many useful applications in a variety of fields. The volume will be very helpful to researchers as well as practitioners interested in RSM''s theory and potential applications. It will be particularly useful to individuals who have used RSM methods in the past, but have not kept up with its recent developments, both in theory and applications. Sample Chapter(s). Chapter 1: Two-Level Factorial and Fractional Factorial Designs in Blocks of Size Two. Part 2 (560 KB). Contents: Two-Level Factorial and Fractional Factorial Designs in Blocks of Size Two. Part 2 (Y J Yang & N R Draper); Response Surface Experiments on Processes with High Variation (S G Gilmour & L A Trinca); Random Run Order, Randomization and Inadvertent Split-Plots in Response Surface Experiments (J Ganju & J M Lucas); Statistical Inference for Response Surface Optima (D K J Lin & J J Peterson); A Search Method for the Exploration of New Regions in Robust Parameter Design (G Mer-Quesada & E del Castillo); Response Surface Approaches to Robust Parameter Design (T J Robinson & S S Wulff); Response Surface Methods and Their Application in the Treatment of Cancer with Drug Combinations: Some Reflections (K S Dawson et al.); Generalized Linear Models and Response Transformation (A C Atkinson); GLM Designs: The Dependence on Unknown Parameters Dilemma (A I Khuri & S Mukhopadhyay); Design for a Trinomial Response to Dose (S K Fan & K Chaloner); Evaluating the Performance of Non-Standard Designs: The San Cristobal Design (L M Haines); 50 Years of Mixture Experiment Research: 1955OCo2004 (G F Piepel); Graphical Methods for Comparing Response Surface Designs for Experiments with Mixture Components (H B Goldfarb & D C Montgomery); Graphical Methods for Assessing the Prediction Capability of Response Surface Designs (J J Borkowski); Using Fraction of Design Space Plots for Informative Comparisons between Designs (C M Anderson-Cook & A Ozol-Godfrey); Concepts of Slope-Rotatability for Second Order Response Surface Designs (S H Park); Design of Experiments for Estimating Differences between Responses and Slopes of the Response (S Huda). Readership: Researchers in academia and industry interested in response surface methodology and its applications; engineers interested in improving quality and productivity in industry."

Book Synopsis Response Surface Methodology and Related Topics by : Andr I. Khuri

Download or read book Response Surface Methodology and Related Topics written by Andr I. Khuri and published by World Scientific. This book was released on 2006 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first edited volume on response surface methodology (RSM). It contains 17 chapters written by leading experts in the field and covers a wide variety of topics ranging from areas in classical RSM to more recent modeling approaches within the framework of RSM, including the use of generalized linear models. Topics covering particular aspects of robust parameter design, response surface optimization, mixture experiments, and a variety of new graphical approaches in RSM are also included. The main purpose of this volume is to provide an overview of the key ideas that have shaped RSM, and to bring attention to recent research directions and developments in RSM, which can have many useful applications in a variety of fields. The volume will be very helpful to researchers as well as practitioners interested in RSM''s theory and potential applications. It will be particularly useful to individuals who have used RSM methods in the past, but have not kept up with its recent developments, both in theory and applications. Sample Chapter(s). Chapter 1: Two-Level Factorial and Fractional Factorial Designs in Blocks of Size Two. Part 2 (560 KB). Contents: Two-Level Factorial and Fractional Factorial Designs in Blocks of Size Two. Part 2 (Y J Yang & N R Draper); Response Surface Experiments on Processes with High Variation (S G Gilmour & L A Trinca); Random Run Order, Randomization and Inadvertent Split-Plots in Response Surface Experiments (J Ganju & J M Lucas); Statistical Inference for Response Surface Optima (D K J Lin & J J Peterson); A Search Method for the Exploration of New Regions in Robust Parameter Design (G Mer-Quesada & E del Castillo); Response Surface Approaches to Robust Parameter Design (T J Robinson & S S Wulff); Response Surface Methods and Their Application in the Treatment of Cancer with Drug Combinations: Some Reflections (K S Dawson et al.); Generalized Linear Models and Response Transformation (A C Atkinson); GLM Designs: The Dependence on Unknown Parameters Dilemma (A I Khuri & S Mukhopadhyay); Design for a Trinomial Response to Dose (S K Fan & K Chaloner); Evaluating the Performance of Non-Standard Designs: The San Cristobal Design (L M Haines); 50 Years of Mixture Experiment Research: 1955OCo2004 (G F Piepel); Graphical Methods for Comparing Response Surface Designs for Experiments with Mixture Components (H B Goldfarb & D C Montgomery); Graphical Methods for Assessing the Prediction Capability of Response Surface Designs (J J Borkowski); Using Fraction of Design Space Plots for Informative Comparisons between Designs (C M Anderson-Cook & A Ozol-Godfrey); Concepts of Slope-Rotatability for Second Order Response Surface Designs (S H Park); Design of Experiments for Estimating Differences between Responses and Slopes of the Response (S Huda). Readership: Researchers in academia and industry interested in response surface methodology and its applications; engineers interested in improving quality and productivity in industry."

Robust Response Surfaces, Regression, and Positive Data Analyses

Author: Rabindra Nath Das

Publisher: CRC Press

Published: 2014-05-21

Total Pages: 339

ISBN-13: 1466506776

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Although widely used in science and technology for experimental data generating, modeling, and optimization, the response surface methodology (RSM) has many limitations. Showing how robust response surface methodology (RRSM) can overcome these limitations, Robust Response Surfaces, Regression, and Positive Data Analyses presents RRS designs, along with the relevant regression and positive data analysis techniques. It explains how to use RRSM in experimental designs and regression analysis. The book addresses problems of RRS designs, such as rotatability, slope-rotatability, weak rotatability, and optimality. It describes methods for estimating model parameters as well as positive data analysis techniques. The author illustrates the concepts and methods with real examples of lifetime responses, resistivity, replicated measures, and more. The range of topics and applications gives the book broad appeal both to theoreticians and practicing professionals. The book helps quality engineers, scientists in any area, medical practitioners, demographers, economists, and statisticians understand the theory and applications of RRSM. It can also be used in a second course on the design of experiments.

Book Synopsis Robust Response Surfaces, Regression, and Positive Data Analyses by : Rabindra Nath Das

Download or read book Robust Response Surfaces, Regression, and Positive Data Analyses written by Rabindra Nath Das and published by CRC Press. This book was released on 2014-05-21 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although widely used in science and technology for experimental data generating, modeling, and optimization, the response surface methodology (RSM) has many limitations. Showing how robust response surface methodology (RRSM) can overcome these limitations, Robust Response Surfaces, Regression, and Positive Data Analyses presents RRS designs, along with the relevant regression and positive data analysis techniques. It explains how to use RRSM in experimental designs and regression analysis. The book addresses problems of RRS designs, such as rotatability, slope-rotatability, weak rotatability, and optimality. It describes methods for estimating model parameters as well as positive data analysis techniques. The author illustrates the concepts and methods with real examples of lifetime responses, resistivity, replicated measures, and more. The range of topics and applications gives the book broad appeal both to theoreticians and practicing professionals. The book helps quality engineers, scientists in any area, medical practitioners, demographers, economists, and statisticians understand the theory and applications of RRSM. It can also be used in a second course on the design of experiments.

Empirical Model-Building and Response Surfaces

Author: George E. P. Box

Publisher: Wiley-Blackwell

Published: 1987-01-16

Total Pages: 696

ISBN-13:

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An innovative discussion of building empirical models and the fitting of surfaces to data. Introduces the general philosophy of response surface methodology, and details least squares for response surface work, factorial designs at two levels, fitting second-order models, adequacy of estimation and the use of transformation, occurrence and elucidation of ridge systems, and more. Some results are presented for the first time. Includes real-life exercises, nearly all with solutions.

Book Synopsis Empirical Model-Building and Response Surfaces by : George E. P. Box

Download or read book Empirical Model-Building and Response Surfaces written by George E. P. Box and published by Wiley-Blackwell. This book was released on 1987-01-16 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: An innovative discussion of building empirical models and the fitting of surfaces to data. Introduces the general philosophy of response surface methodology, and details least squares for response surface work, factorial designs at two levels, fitting second-order models, adequacy of estimation and the use of transformation, occurrence and elucidation of ridge systems, and more. Some results are presented for the first time. Includes real-life exercises, nearly all with solutions.

Response Surface Methodology

Author: Raymond H. Myers

Publisher: John Wiley & Sons

Published: 2016-01-04

Total Pages: 856

ISBN-13: 1118916026

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Praise for the Third Edition: “This new third edition has been substantially rewritten and updated with new topics and material, new examples and exercises, and to more fully illustrate modern applications of RSM.” - Zentralblatt Math Featuring a substantial revision, the Fourth Edition of Response Surface Methodology: Process and Product Optimization Using Designed Experiments presents updated coverage on the underlying theory and applications of response surface methodology (RSM). Providing the assumptions and conditions necessary to successfully apply RSM in modern applications, the new edition covers classical and modern response surface designs in order to present a clear connection between the designs and analyses in RSM. With multiple revised sections with new topics and expanded coverage, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Fourth Edition includes: Many updates on topics such as optimal designs, optimization techniques, robust parameter design, methods for design evaluation, computer-generated designs, multiple response optimization, and non-normal responses Additional coverage on topics such as experiments with computer models, definitive screening designs, and data measured with error Expanded integration of examples and experiments, which present up-to-date software applications, such as JMP®, SAS, and Design-Expert®, throughout An extensive references section to help readers stay up-to-date with leading research in the field of RSM An ideal textbook for upper-undergraduate and graduate-level courses in statistics, engineering, and chemical/physical sciences, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Fourth Edition is also a useful reference for applied statisticians and engineers in disciplines such as quality, process, and chemistry.

Book Synopsis Response Surface Methodology by : Raymond H. Myers

Download or read book Response Surface Methodology written by Raymond H. Myers and published by John Wiley & Sons. This book was released on 2016-01-04 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition: “This new third edition has been substantially rewritten and updated with new topics and material, new examples and exercises, and to more fully illustrate modern applications of RSM.” - Zentralblatt Math Featuring a substantial revision, the Fourth Edition of Response Surface Methodology: Process and Product Optimization Using Designed Experiments presents updated coverage on the underlying theory and applications of response surface methodology (RSM). Providing the assumptions and conditions necessary to successfully apply RSM in modern applications, the new edition covers classical and modern response surface designs in order to present a clear connection between the designs and analyses in RSM. With multiple revised sections with new topics and expanded coverage, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Fourth Edition includes: Many updates on topics such as optimal designs, optimization techniques, robust parameter design, methods for design evaluation, computer-generated designs, multiple response optimization, and non-normal responses Additional coverage on topics such as experiments with computer models, definitive screening designs, and data measured with error Expanded integration of examples and experiments, which present up-to-date software applications, such as JMP®, SAS, and Design-Expert®, throughout An extensive references section to help readers stay up-to-date with leading research in the field of RSM An ideal textbook for upper-undergraduate and graduate-level courses in statistics, engineering, and chemical/physical sciences, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Fourth Edition is also a useful reference for applied statisticians and engineers in disciplines such as quality, process, and chemistry.

An Agglomeration Of Experiments With Mixture Methodology Volume – II

Author:

Publisher:

Published:

Total Pages:

ISBN-13: 9385137980

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Book Synopsis An Agglomeration Of Experiments With Mixture Methodology Volume – II by :

Download or read book An Agglomeration Of Experiments With Mixture Methodology Volume – II written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Design and Analysis of Experiments

Author: Angela Dean

Publisher: CRC Press

Published: 2015-06-26

Total Pages: 946

ISBN-13: 146650434X

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This carefully edited collection synthesizes the state of the art in the theory and applications of designed experiments and their analyses. It provides a detailed overview of the tools required for the optimal design of experiments and their analyses. The handbook covers many recent advances in the field, including designs for nonlinear models and algorithms applicable to a wide variety of design problems. It also explores the extensive use of experimental designs in marketing, the pharmaceutical industry, engineering and other areas.

Book Synopsis Handbook of Design and Analysis of Experiments by : Angela Dean

Download or read book Handbook of Design and Analysis of Experiments written by Angela Dean and published by CRC Press. This book was released on 2015-06-26 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully edited collection synthesizes the state of the art in the theory and applications of designed experiments and their analyses. It provides a detailed overview of the tools required for the optimal design of experiments and their analyses. The handbook covers many recent advances in the field, including designs for nonlinear models and algorithms applicable to a wide variety of design problems. It also explores the extensive use of experimental designs in marketing, the pharmaceutical industry, engineering and other areas.

Bearing Capacity of Roads, Railways and Airfields

Author: Andreas Loizos

Publisher: CRC Press

Published: 2017-07-20

Total Pages: 364

ISBN-13: 1351585797

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Bearing Capacity of Roads, Railways and Airfields includes the contributions to the 10th International Conference on the Bearing Capacity of Roads, Railways and Airfields (BCRRA 2017, 28-30 June 2017, Athens, Greece). The papers cover aspects related to materials, laboratory testing, design, construction, maintenance and management systems of transport infrastructure, and focus on roads, railways and airfields. Additional aspects that concern new materials and characterization, alternative rehabilitation techniques, technological advances as well as pavement and railway track substructure sustainability are included. The contributions discuss new concepts and innovative solutions, and are concentrated but not limited on the following topics: · Unbound aggregate materials and soil properties · Bound materials characteritics, mechanical properties and testing · Effect of traffic loading · In-situ measurements techniques and monitoring · Structural evaluation · Pavement serviceability condition · Rehabilitation and maintenance issues · Geophysical assessment · Stabilization and reinforcement · Performance modeling · Environmental challenges · Life cycle assessment and sustainability Bearing Capacity of Roads, Railways and Airfields is essential reading for academics and professionals involved or interested in transport infrastructure systems, in particular roads, railways and airfields.

Book Synopsis Bearing Capacity of Roads, Railways and Airfields by : Andreas Loizos

Download or read book Bearing Capacity of Roads, Railways and Airfields written by Andreas Loizos and published by CRC Press. This book was released on 2017-07-20 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bearing Capacity of Roads, Railways and Airfields includes the contributions to the 10th International Conference on the Bearing Capacity of Roads, Railways and Airfields (BCRRA 2017, 28-30 June 2017, Athens, Greece). The papers cover aspects related to materials, laboratory testing, design, construction, maintenance and management systems of transport infrastructure, and focus on roads, railways and airfields. Additional aspects that concern new materials and characterization, alternative rehabilitation techniques, technological advances as well as pavement and railway track substructure sustainability are included. The contributions discuss new concepts and innovative solutions, and are concentrated but not limited on the following topics: · Unbound aggregate materials and soil properties · Bound materials characteritics, mechanical properties and testing · Effect of traffic loading · In-situ measurements techniques and monitoring · Structural evaluation · Pavement serviceability condition · Rehabilitation and maintenance issues · Geophysical assessment · Stabilization and reinforcement · Performance modeling · Environmental challenges · Life cycle assessment and sustainability Bearing Capacity of Roads, Railways and Airfields is essential reading for academics and professionals involved or interested in transport infrastructure systems, in particular roads, railways and airfields.

The Collected Works of George E.P. Box

Author: George E. P. Box

Publisher: Wiley

Published: 2009-06-09

Total Pages: 4108

ISBN-13: 9780470555644

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This collection features six of the most recent works by George E.P. Box. Topics include time series analysis, response surfaces, mixtures and ridge analyses and Statistics for experimenters.

Book Synopsis The Collected Works of George E.P. Box by : George E. P. Box

Download or read book The Collected Works of George E.P. Box written by George E. P. Box and published by Wiley. This book was released on 2009-06-09 with total page 4108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection features six of the most recent works by George E.P. Box. Topics include time series analysis, response surfaces, mixtures and ridge analyses and Statistics for experimenters.

Statistical Design and Analysis of Biological Experiments

Author: Hans-Michael Kaltenbach

Publisher: Springer Nature

Published: 2021-04-15

Total Pages: 281

ISBN-13: 3030696413

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This richly illustrated book provides an overview of the design and analysis of experiments with a focus on non-clinical experiments in the life sciences, including animal research. It covers the most common aspects of experimental design such as handling multiple treatment factors and improving precision. In addition, it addresses experiments with large numbers of treatment factors and response surface methods for optimizing experimental conditions or biotechnological yields. The book emphasizes the estimation of effect sizes and the principled use of statistical arguments in the broader scientific context. It gradually transitions from classical analysis of variance to modern linear mixed models, and provides detailed information on power analysis and sample size determination, including ‘portable power’ formulas for making quick approximate calculations. In turn, detailed discussions of several real-life examples illustrate the complexities and aberrations that can arise in practice. Chiefly intended for students, teachers and researchers in the fields of experimental biology and biomedicine, the book is largely self-contained and starts with the necessary background on basic statistical concepts. The underlying ideas and necessary mathematics are gradually introduced in increasingly complex variants of a single example. Hasse diagrams serve as a powerful method for visualizing and comparing experimental designs and deriving appropriate models for their analysis. Manual calculations are provided for early examples, allowing the reader to follow the analyses in detail. More complex calculations rely on the statistical software R, but are easily transferable to other software. Though there are few prerequisites for effectively using the book, previous exposure to basic statistical ideas and the software R would be advisable.

Book Synopsis Statistical Design and Analysis of Biological Experiments by : Hans-Michael Kaltenbach

Download or read book Statistical Design and Analysis of Biological Experiments written by Hans-Michael Kaltenbach and published by Springer Nature. This book was released on 2021-04-15 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This richly illustrated book provides an overview of the design and analysis of experiments with a focus on non-clinical experiments in the life sciences, including animal research. It covers the most common aspects of experimental design such as handling multiple treatment factors and improving precision. In addition, it addresses experiments with large numbers of treatment factors and response surface methods for optimizing experimental conditions or biotechnological yields. The book emphasizes the estimation of effect sizes and the principled use of statistical arguments in the broader scientific context. It gradually transitions from classical analysis of variance to modern linear mixed models, and provides detailed information on power analysis and sample size determination, including ‘portable power’ formulas for making quick approximate calculations. In turn, detailed discussions of several real-life examples illustrate the complexities and aberrations that can arise in practice. Chiefly intended for students, teachers and researchers in the fields of experimental biology and biomedicine, the book is largely self-contained and starts with the necessary background on basic statistical concepts. The underlying ideas and necessary mathematics are gradually introduced in increasingly complex variants of a single example. Hasse diagrams serve as a powerful method for visualizing and comparing experimental designs and deriving appropriate models for their analysis. Manual calculations are provided for early examples, allowing the reader to follow the analyses in detail. More complex calculations rely on the statistical software R, but are easily transferable to other software. Though there are few prerequisites for effectively using the book, previous exposure to basic statistical ideas and the software R would be advisable.