Analysis Of Variance Design And Regression

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Analysis Of Variance Design And Regression

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Author : Ronald Christensen
language : en
Publisher: CRC Press
Release Date : 1996-06-01

Analysis Of Variance Design And Regression written by Ronald Christensen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-01 with Mathematics categories.

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.

Anova And Ancova

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Author : Andrew Rutherford
language : en
Publisher: John Wiley & Sons
Release Date : 2011-10-25

Anova And Ancova written by Andrew Rutherford and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-25 with Mathematics categories.

Provides an in-depth treatment of ANOVA and ANCOVA techniques from a linear model perspective ANOVA and ANCOVA: A GLM Approach provides a contemporary look at the general linear model (GLM) approach to the analysis of variance (ANOVA) of one- and two-factor psychological experiments. With its organized and comprehensive presentation, the book successfully guides readers through conventional statistical concepts and how to interpret them in GLM terms, treating the main single- and multi-factor designs as they relate to ANOVA and ANCOVA. The book begins with a brief history of the separate development of ANOVA and regression analyses, and then goes on to demonstrate how both analyses are incorporated into the understanding of GLMs. This new edition now explains specific and multiple comparisons of experimental conditions before and after the Omnibus ANOVA, and describes the estimation of effect sizes and power analyses leading to the determination of appropriate sample sizes for experiments to be conducted. Topics that have been expanded upon and added include: Discussion of optimal experimental designs Different approaches to carrying out the simple effect analyses and pairwise comparisons with a focus on related and repeated measure analyses The issue of inflated Type 1 error due to multiple hypotheses testing Worked examples of Shaffer's R test, which accommodates logical relations amongst hypotheses ANOVA and ANCOVA: A GLM Approach, Second Edition is an excellent book for courses on linear modeling at the graduate level. It is also a suitable reference for researchers and practitioners in the fields of psychology and the biomedical and social sciences.

Experimental Design Anova And Regression

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Author : Richard A. Damon
language : en
Publisher: Harpercollins College Division
Release Date : 1987

Experimental Design Anova And Regression written by Richard A. Damon and has been published by Harpercollins College Division this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Science categories.

Analysis Of Variance Designs

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Author : Glenn Gamst
language : en
Publisher: Cambridge University Press
Release Date : 2008-09-01

Analysis Of Variance Designs written by Glenn Gamst and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-01 with Social Science categories.

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.

Multivariate General Linear Models

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Author : Richard F. Haase
language : en
Publisher: SAGE
Release Date : 2011-11-23

Multivariate General Linear Models written by Richard F. Haase and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-23 with Mathematics categories.

This title provides an integrated introduction to multivariate multiple regression analysis (MMR) and multivariate analysis of variance (MANOVA). It defines the key steps in analyzing linear model data and introduces multivariate linear model analysis as a generalization of the univariate model. Richard F. Haase focuses on multivariate measures of association for four common multivariate test statistics, presents a flexible method for testing hypotheses on models, and emphasizes the multivariate procedures attributable to Wilks, Pillai, Hotelling, and Roy.

Learning Statistics With R

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Author : Danielle Navarro
language : en
Publisher:
Release Date : 2018

Learning Statistics With R written by Danielle Navarro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.

Data Analysis For Research Designs

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Author : Geoffrey Keppel
language : en
Publisher: Macmillan
Release Date : 1989-03-15

Data Analysis For Research Designs written by Geoffrey Keppel and has been published by Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03-15 with Mathematics categories.

Data Analysis for Research Designs covers the analytical techniques for the analysis of variance (ANOVA) and multiple regression/correlation (MRC), emphasizing single-degree-of-freedom comparisons so that students focus on clear research planning. This text is designed for advanced undergraduates and graduate students of the behavioral and social sciences who have an understanding of algebra and statistics.

Analysis Of Variance Design And Regression

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Author : Ronald Christensen
language : en
Publisher: CRC Press
Release Date : 2018-09-03

Analysis Of Variance Design And Regression written by Ronald Christensen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Mathematics categories.

Analysis of Variance, Design, and Regression: Linear Modeling for Unbalanced Data, Second Edition presents linear structures for modeling data with an emphasis on how to incorporate specific ideas (hypotheses) about the structure of the data into a linear model for the data. The book carefully analyzes small data sets by using tools that are easily scaled to big data. The tools also apply to small relevant data sets that are extracted from big data. New to the Second Edition Reorganized to focus on unbalanced data Reworked balanced analyses using methods for unbalanced data Introductions to nonparametric and lasso regression Introductions to general additive and generalized additive models Examination of homologous factors Unbalanced split plot analyses Extensions to generalized linear models R, Minitab®, and SAS code on the author’s website The text can be used in a variety of courses, including a yearlong graduate course on regression and ANOVA or a data analysis course for upper-division statistics students and graduate students from other fields. It places a strong emphasis on interpreting the range of computer output encountered when dealing with unbalanced data.

Analysis Of Variance

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Author : Gudmund R. Iversen
language : en
Publisher: SAGE
Release Date : 1987

Analysis Of Variance written by Gudmund R. Iversen and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

The authors have improved on their widely used first edition by providing updated examples, adding material on how to do ANOVA using statistical packages for microcomputers, linking the use of ANOVA to regression analysis, and enchancing their discussion on using ANOVA for experimentally gathered data.