Experimental Design And The Analysis Of Variance

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Experimental Design And The Analysis Of Variance

Author : Robert K. Leik
ISBN : 9781452250359
Genre : Social Science
File Size : 36.49 MB
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Most core statistics texts cover subjects like analysis of variance and regression, but not in much detail. This book provides clear and comprehensive coverage of the concepts behind ANOVA as well as its technical implementation. It emphasizes facilitating students' intuitive and common sense understanding of the concepts before delving into computation.
Category: Social Science

Experimental Designs Using Anova

Author : Barbara G. Tabachnick
ISBN : 0495110922
Genre : Analysis of variance
File Size : 29.35 MB
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This text reflects the practical approach of the authors. Barbara Tabachnick and Linda Fidell emphasize the use of statistical software in design and analysis of research in addition to conceptual understanding fostered by the presentation and interpretation of fundamental equations. EXPERIMENTAL DESIGN USING ANOVA includes the regression approach to ANOVA alongside the traditional approach, making it clearer and more flexible. The text includes details on how to perform both simple and complicated analyses by hand through traditional means, through regression, and through SPSS and SAS.
Category: Analysis of variance

Experimental Design

Author : Source Wikipedia
ISBN : 1230620311
Genre :
File Size : 23.32 MB
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 158. Chapters: Analysis of variance, Experiment, Statistical hypothesis testing, Design of experiments, Sampling bias, Nuremberg Code, Steiner system, Randomization, Latin square, Randomized controlled trial, Natural experiment, Clinical trial, Type I and type II errors, Optimal design, Placebo-controlled study, Drug design, Fisher information, Taguchi methods, Restricted randomization, Interaction, Institutional review board, Randomized block design, Case-control study, Graeco-Latin square, Blind experiment, Oscar Kempthorne, Jadad scale, Association scheme, Null hypothesis, Glossary of experimental design, Repeated measures design, Single-subject design, Response surface methodology, Dependent and independent variables, Cohort study, Factorial experiment, Confounding, Random assignment, Difference in differences, Gittins index, Quasi-experimental design, Cytel, Yates analysis, Lack-of-fit sum of squares, Bayesian experimental design, Fractional factorial design, Bose-Mesner algebra, Generalized randomized block design, Propensity score matching, Randomized experiment, Field experiment, Observational study, Process analytical technology, Experimental research design, Blocking, Surrogate model, Completely randomized design, Challenge-dechallenge-rechallenge, Single-subject research, Plackett-Burman design, Combinatorial design, Sequential analysis, Data-snooping bias, Latin hypercube sampling, Spectrum bias, Study design, The Unscrambler, Longitudinal study, Z-factor, Hyper-Graeco-Latin square design, Cluster randomised controlled trial, Regression discontinuity design, N of 1 trial, Central composite design, Age adjustment, Bruck-Chowla-Ryser theorem, All-pairs testing, Box-Behnken design, Replication, Spherical design, Zelen's design, Multivariate analysis of variance, Minimisation, Lady tasting tea, ..
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Analysis Of Variance In Experimental Design

Author : Harold R. Lindman
ISBN : 9781461397229
Genre : Mathematics
File Size : 39.78 MB
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As an introductory textbook on the analysis of variance or a reference for the researcher, this text stresses applications rather than theory, but gives enough theory to enable the reader to apply the methods intelligently rather than mechanically. Comprehensive, and covering the important techniques in the field, including new methods of post hoc testing. The relationships between different research designs are emphasized, and these relationships are exploited to develop general principles which are generalized to the analyses of a large number of seemingly differentdesigns. Primarily for graduate students in any field where statistics are used.
Category: Mathematics

Analysis Of Variance In Complex Experimental Designs

Author : Harold R. Lindman
ISBN : 0716707748
Genre : Analyse de variance
File Size : 63.48 MB
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Review of statistical concepts; Important distributions; Analysis of variance: one-way, fixed effects; Comparing groups; Two-way analysis of variance; Random effects; Higher-way designs; Nested designs; Other incomplete designs; One-way designs with quantitative factors; Trend analyses in multifactor designs; Multifactor designs with random numerical factors.
Category: Analyse de variance

Data Analysis For Experimental Design

Author : Richard Gonzalez
ISBN : 9781606230176
Genre : Psychology
File Size : 65.80 MB
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This engaging text shows how statistics and methods work together, demonstrating a variety of techniques for evaluating statistical results against the specifics of the methodological design. Richard Gonzalez elucidates the fundamental concepts involved in analysis of variance (ANOVA), focusing on single degree-of-freedom tests, or comparisons, wherever possible. Potential threats to making a causal inference from an experimental design are highlighted. With an emphasis on basic between-subjects and within-subjects designs, Gonzalez resists presenting the countless "exceptions to the rule" that make many statistics textbooks so unwieldy and confusing for students and beginning researchers. Ideal for graduate courses in experimental design or data analysis, the text may also be used by advanced undergraduates preparing to do senior theses. Useful pedagogical features include: Discussions of the assumptions that underlie each statistical test Sequential, step-by-step presentations of statistical procedures End-of-chapter questions and exercises Accessible writing style with scenarios and examples This book is intended for graduate students in psychology and education, practicing researchers seeking a readable refresher on analysis of experimental designs, and advanced undergraduates preparing senior theses. It serves as a text for graduate level experimental design, data analysis, and experimental methods courses taught in departments of psychology and education. It is also useful as a supplemental text for advanced undergraduate honors courses.
Category: Psychology

Analysis Of Variance Designs

Author : Glenn Gamst
ISBN : 9781107495432
Genre : Social Science
File Size : 74.88 MB
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ANOVA (Analysis Of Variance) is one of the most fundamental and ubiquitous univariate methodologies employed by psychologists and other behavioural scientists. Analysis of Variance Designs presents the foundations of this experimental design, including assumptions, statistical significance, strength of effect, and the partitioning of the variance. Exploring the effects of one or more independent variables on a single dependent variable as well as two-way and three-way mixed designs, this textbook offers an overview of traditionally advanced topics for advanced undergraduates and graduate students in the behavioural and social sciences. Separate chapters are devoted to multiple comparisons (post hoc and planned/weighted), ANCOVA, and advanced topics. Each of the design chapters contains conceptual discussions, hand calculations, and procedures for the omnibus and simple effects analyses in both SPSS and the new 'click and shoot' SAS Enterprise Guide interface.
Category: Social Science

Practical Guide To Experimental Design

Author : Normand L. Frigon
ISBN : 047113919X
Genre : Technology & Engineering
File Size : 46.22 MB
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Over the last decade, Design of Experiments (DOE) has become established as a prime analytical and forecasting method with a vital role to play in product and process improvement. Now Practical Guide to Experimental Design lets you put this high-level statistical technique to work in your field, whether you are in the manufacturing or services sector. This accessible book equips you with all of the basic technical and managerial skills you need to develop, execute, and evaluate designed experiments effectively. You will develop a solid grounding in the statistical underpinnings of DOE, including distributions, analysis of variance, and more. You will also gain a firm grasp of full and fractional factorial techniques, the use of DOE in fault isolation and failure analysis, and the application of individual DOE methods within an integrated system. Each procedure is clearly illustrated one step at a time with the help of simplified notation and easy-to-understand spreadsheets. The book's real-world approach is reinforced throughout by case studies, examples, and exercises taken from a broad cross section of business applications. Practical Guide to Experimental Design is a valuable competitive asset for engineers, scientists, and decision-makers in many industries, as well as an important resource for researchers and advanced students. This hands-on guide offers complete, down-to-earth coverage of Design of Experiments (DOE) basics, providing you with the technical and managerial tools you need to put this powerful technique into action to help you achieve your quality improvement objectives. Using a clear, step-by-step approach, Practical Guide to Experimental Design shows you how to develop, perform, and analyze designed experiments. The book features: * Accessible coverage of statistical concepts, including data acquisition, reporting of results, sampling and other distributions, and more * A complete range of analytical procedures - analysis of variance, full and fractional factorial DOE, and the role of DOE in fault isolation and failure analysis * In-depth case studies, examples, and exercises covering a range of different uses of DOE * Broad applications across manufacturing, service, administrative, and other business sectors No matter what your field, Practical Guide to Experimental Design provides you with the "on-the-ground" assistance necessary to transform DOE theory into practice - the ideal guide for engineers, scientists, researchers, and advanced students.
Category: Technology & Engineering

Analysis Of Variance Design And Regression

Author : Ronald Christensen
ISBN : 0412062917
Genre : Mathematics
File Size : 86.50 MB
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This text presents a comprehensive treatment of basic statistical methods and their applications. It focuses on the analysis of variance and regression, but also addressing basic ideas in experimental design and count data. The book has four connecting themes: similarity of inferential procedures, balanced one-way analysis of variance, comparison of models, and checking assumptions. Most inferential procedures are based on identifying a scalar parameter of interest, estimating that parameter, obtaining the standard error of the estimate, and identifying the appropriate reference distribution. Given these items, the inferential procedures are identical for various parameters. Balanced one-way analysis of variance has a simple, intuitive interpretation in terms of comparing the sample variance of the group means with the mean of the sample variance for each group. All balanced analysis of variance problems are considered in terms of computing sample variances for various group means. Comparing different models provides a structure for examining both balanced and unbalanced analysis of variance problems and regression problems. Checking assumptions is presented as a crucial part of every statistical analysis. Examples using real data from a wide variety of fields are used to motivate theory. Christensen consistently examines residual plots and presents alternative analyses using different transformation and case deletions. Detailed examination of interactions, three factor analysis of variance, and a split-plot design with four factors are included. The numerous exercises emphasize analysis of real data. Senior undergraduate and graduate students in statistics and graduate students in other disciplines using analysis of variance, design of experiments, or regression analysis will find this book useful.
Category: Mathematics

Experimental Design In Behavioural Research

Author : Krishan D. Broota
ISBN : 8122402151
Genre : Psychology
File Size : 21.60 MB
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The Book Has Been Addressed To The Students And Researchers In The Disciplines Of Psychology, Education, Sociology, Social-Work, Medicine, Management, And Allied Disciplines. It Has Been Written For Those Who Do Not Possess Sophisticated Mathematical Background. Various Designs And Their Analyses Have Been Presented In Simple Understandable Language. The Intended Emphasis Is To Make The Reader Understand The Basic Principles Of Experimental Design, Layout For Data Collection, Analysis Of Data, Interpretation Of Results Of Experimental Outcome. It Offers An Integrated Approach Placing Due Emphasis On Theory, Application, And Computational Procedures. Schematic Representations Of Analysis For Each Design Is A Novel Feature Of This Book, It Makes The Analysis Simple And Easy To Comprehend. Each Design Includes General Layout For Data Collection, Schematic Representation Of The Analysis, Followed By Numerical Example With Detailed Solution And Interpretation. Numerous Illustrations, Many From Published Research, Are Provided With The Intent To Equip The Reader To Develop Insight Into The Intricacies Of Research Strategy. Special Treatment Has Been Given To Within Subject And Mixed Designs. Multivariate Analysis Of Variance, Analysis Of Covariance, And Also Analysis Of Variance By Ranks Have Been Included.
Category: Psychology

Introduction To Analysis Of Variance Design Analyis Interpretation

Author : J. Rick Turner
ISBN : 0803970757
Genre : Psychology
File Size : 66.57 MB
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Organized so that the reader moves from the simplest type of design to more complex ones, the authors introduce five different kinds of ANOVA techniques and explain which design//analysis is appropriate to answer specific questions.
Category: Psychology

Design And Analysis Of Experiments

Author : Angela M. Dean
ISBN : 9780387985619
Genre : Mathematics
File Size : 38.21 MB
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This book offers a step-by-step guide to the experimental planning process and the ensuing analysis of normally distributed data, emphasizing the practical considerations governing the design of an experiment. Data sets are taken from real experiments and sample SAS programs are included with each chapter. Experimental design is an essential part of investigation and discovery in science; this book will serve as a modern and comprehensive reference to the subject.
Category: Mathematics

Experimental Design And Analysis For Psychology

Author : Herve Abdi
ISBN : 9780199299881
Genre : Mathematics
File Size : 74.95 MB
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A complete course in data collection and analysis for students who need to go beyond the basics. A true course companion, the engaging writing style takes readers through challenging topics, blending examples and exercises with careful explanations and custom-drawn figures ensuring the most daunting concepts can be fully understood.
Category: Mathematics

Design And Analysis Of Experiments

Author : Angela Dean
ISBN : 9783319522500
Genre : Mathematics
File Size : 43.24 MB
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This book offers a step-by-step guide to the experimental planning process and the ensuing analysis of normally distributed data, emphasizing the practical considerations governing the design of an experiment. Data sets are taken from real experiments and sample SAS programs are included with each chapter. Experimental design is an essential part of investigation and discovery in science; this book will serve as a modern and comprehensive reference to the subject.
Category: Mathematics

Research Design And Statistical Analysis

Author : Jerome L. Myers
ISBN : 9781135811631
Genre : Psychology
File Size : 44.56 MB
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Research Design and Statistical Analysis provides comprehensive coverage of the design principles and statistical concepts necessary to make sense of real data. The book’s goal is to provide a strong conceptual foundation to enable readers to generalize concepts to new research situations. Emphasis is placed on the underlying logic and assumptions of the analysis and what it tells the researcher, the limitations of the analysis, and the consequences of violating assumptions. Sampling, design efficiency, and statistical models are emphasized throughout. As per APA recommendations, emphasis is also placed on data exploration, effect size measures, confidence intervals, and using power analyses to determine sample size. "Real-world" data sets are used to illustrate data exploration, analysis, and interpretation. The book offers a rare blend of the underlying statistical assumptions, the consequences of their violations, and practical advice on dealing with them. Changes in the New Edition: Each section of the book concludes with a chapter that provides an integrated example of how to apply the concepts and procedures covered in the chapters of the section. In addition, the advantages and disadvantages of alternative designs are discussed. A new chapter (1) reviews the major steps in planning and executing a study, and the implications of those decisions for subsequent analyses and interpretations. A new chapter (13) compares experimental designs to reinforce the connection between design and analysis and to help readers achieve the most efficient research study. A new chapter (27) on common errors in data analysis and interpretation. Increased emphasis on power analyses to determine sample size using the G*Power 3 program. Many new data sets and problems. More examples of the use of SPSS (PASW) Version 17, although the analyses exemplified are readily carried out by any of the major statistical software packages. A companion website with the data used in the text and the exercises in SPSS and Excel formats; SPSS syntax files for performing analyses; extra material on logistic and multiple regression; technical notes that develop some of the formulas; and a solutions manual and the text figures and tables for instructors only. Part 1 reviews research planning, data exploration, and basic concepts in statistics including sampling, hypothesis testing, measures of effect size, estimators, and confidence intervals. Part 2 presents between-subject designs. The statistical models underlying the analysis of variance for these designs are emphasized, along with the role of expected mean squares in estimating effects of variables, the interpretation of nteractions, and procedures for testing contrasts and controlling error rates. Part 3 focuses on repeated-measures designs and considers the advantages and disadvantages of different mixed designs. Part 4 presents detailed coverage of correlation and bivariate and multiple regression with emphasis on interpretation and common errors, and discusses the usefulness and limitations of these procedures as tools for prediction and for developing theory. This is one of the few books with coverage sufficient for a 2-semester course sequence in experimental design and statistics as taught in psychology, education, and other behavioral, social, and health sciences. Incorporating the analyses of both experimental and observational data provides continuity of concepts and notation. Prerequisites include courses on basic research methods and statistics. The book is also an excellent resource for practicing researchers.
Category: Psychology

Applied Analysis Of Variance In Behavioral Science

Author : Lynne Edwards
ISBN : 0824788966
Genre : Mathematics
File Size : 90.65 MB
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A reference devoted to the discussion of analysis of variance (ANOVA) techniques. It presents ANOVA as a research design, a collection of statistical models, an analysis model, and an arithmetic summary of data. Discussion focuses primarily on univariate data, but multivariate generalizations are to
Category: Mathematics

The Analysis Of Variance

Author : Hardeo Sahai
ISBN : 0817640126
Genre : Mathematics
File Size : 30.27 MB
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The analysis of variance (ANOYA) models have become one of the most widely used tools of modern statistics for analyzing multifactor data. The ANOYA models provide versatile statistical tools for studying the relationship between a dependent variable and one or more independent variables. The ANOYA mod els are employed to determine whether different variables interact and which factors or factor combinations are most important. They are appealing because they provide a conceptually simple technique for investigating statistical rela tionships among different independent variables known as factors. Currently there are several texts and monographs available on the sub ject. However, some of them such as those of Scheffe (1959) and Fisher and McDonald (1978), are written for mathematically advanced readers, requiring a good background in calculus, matrix algebra, and statistical theory; whereas others such as Guenther (1964), Huitson (1971), and Dunn and Clark (1987), although they assume only a background in elementary algebra and statistics, treat the subject somewhat scantily and provide only a superficial discussion of the random and mixed effects analysis of variance.
Category: Mathematics

The Design And Statistical Analysis Of Animal Experiments

Author : Simon T. Bate
ISBN : 9781107030787
Genre : Computers
File Size : 64.8 MB
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Written for animal researchers, this book provides a comprehensive guide to the design and statistical analysis of animal experiments. It has long been recognised that the proper implementation of these techniques helps reduce the number of animals needed. By using real-life examples to make them more accessible, this book explains the statistical tools employed by practitioners. A wide range of design types are considered, including block, factorial, nested, cross-over, dose-escalation and repeated measures and techniques are introduced to analyse the experimental data generated. Each analysis technique is described in non-mathematical terms, helping readers without a statistical background to understand key techniques such as t-tests, ANOVA, repeated measures, analysis of covariance, multiple comparison tests, non-parametric and survival analysis. This is also the first text to describe technical aspects of InVivoStat, a powerful open-source software package developed by the authors to enable animal researchers to analyse their data and obtain informative results.
Category: Computers

Experimental Design And Analysis For Tree Improvement

Author : ER Williams
ISBN : 9780643098886
Genre : Technology & Engineering
File Size : 73.96 MB
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Experimental Design and Analysis for Tree Improvement provides a set of practical procedures to follow when planning, designing and analysing tree improvement trials. Using many fully-worked examples, it outlines how to: design field, glasshouse and laboratory trials; efficiently collect data and construct electronic data files; pre-process data, screening for data quality and outliers; analyse data from single and across-site trials using either GenStat or SAS; and interpret the results from statistical analyses. The authors address the many practical issues often faced in forest tree improvement trials and describe techniques that will give conclusive results with the minimum expense. The techniques provided are applicable to the improvement of not only trees, but to crops in general. Building on the success of the first edition, this new edition has been fully revised and updated to relate to the latest commercially-available software packages for design generation (CycDesigN) and data pre-processing and automated generation of programs for statistical analysis (DataPlus). For analysis, it now provides both GenStat and SAS programs as generated by DataPlus.
Category: Technology & Engineering