Multivariable Modeling and Multivariate Analysis for the Behavioral Sciences

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ISBN 9781439807699
Cat# K10396
 

Features

    • Presents an accessible introduction to intermediate statistics for behavioral scientists
    • Contains a large number of real data sets arising from actual problems, including cognitive behavioral therapy, crime rates, and drug usage
    • Separates mathematical details from the main body of the text
    • Removes the burden of performing necessary calculations by encouraging the use of R and providing the code online
    • Includes many real-world examples, graphs, and exercises
    • Provides solutions to the problems as well as all R code and data sets for the examples on the book’s website

    Summary

    Multivariable Modeling and Multivariate Analysis for the Behavioral Sciences shows students how to apply statistical methods to behavioral science data in a sensible manner. Assuming some familiarity with introductory statistics, the book analyzes a host of real-world data to provide useful answers to real-life issues.

    The author begins by exploring the types and design of behavioral studies. He also explains how models are used in the analysis of data. After describing graphical methods, such as scatterplot matrices, the text covers simple linear regression, locally weighted regression, multiple linear regression, regression diagnostics, the equivalence of regression and ANOVA, the generalized linear model, and logistic regression. The author then discusses aspects of survival analysis, linear mixed effects models for longitudinal data, and the analysis of multivariate data. He also shows how to carry out principal components, factor, and cluster analyses. The final chapter presents approaches to analyzing multivariate observations from several different populations.

    Through real-life applications of statistical methodology, this book elucidates the implications of behavioral science studies for statistical analysis. It equips behavioral science students with enough statistical tools to help them succeed later on in their careers. Solutions to the problems as well as all R code and data sets for the examples are available at www.crcpress.com

    Table of Contents

    Data, Measurement, and Models
    Introduction
    Types of Study
    Types of Measurement
    Missing Values
    The Role of Models in the Analysis of Data
    Determining Sample Size
    Significance Tests, p-Values, and Confidence Intervals
    Looking at Data
    Introduction
    Simple Graphics—Pie Charts, Bar Charts, Histograms, and Boxplots
    The Scatterplot and Beyond
    Scatterplot Matrices
    Conditioning Plots and Trellis Graphics
    Graphical Deception
    Simple Linear and Locally Weighted Regression
    Introduction
    Simple Linear Regression
    Regression Diagnostics
    Locally Weighted Regression
    Multiple Linear Regression
    Introduction
    An Example of Multiple Linear Regression
    Choosing the Most Parsimonious Model When Applying Multiple Linear Regression
    Regression Diagnostics
    The Equivalence of Analysis of Variance and Multiple Linear Regression, and An
    Introduction to the Generalized Linear Model
    Introduction
    The Equivalence of Multiple Regression and ANOVA
    The Generalized Linear Model
    Logistic Regression
    Introduction
    Odds and Odds Ratios
    Logistic Regression
    Applying Logistic Regression to the GHQ Data
    Selecting the Most Parsimonious Logistic Regression Model
    Survival Analysis
    Introduction
    The Survival Function
    The Hazard Function
    Cox’s Proportional Hazards Model
    Linear Mixed Models for Longitudinal Data
    Introduction
    Linear Mixed Effects Models for Longitudinal Data
    How Do Rats Grow?
    Computerized Delivery of Cognitive Behavioral Therapy—Beat the Blues
    The Problem of Dropouts in Longitudinal Studies
    Multivariate Data and Multivariate Analysis
    Introduction
    The Initial Analysis of Multivariate Data
    The Multivariate Normal Probability Density Function
    Principal Components Analysis
    Introduction
    PCA
    Finding the Sample Principal Components
    Should Principal Components Be Extracted from the Covariance or the Correlation
    Matrix?
    Principal Components of Bivariate Data with Correlation Coefficient r
    Rescaling the Principal Components
    How the Principal Components Predict the Observed Covariance Matrix
    Choosing the Number of Components
    Calculating Principal Component Scores
    Some Examples of the Application of PCA
    Using PCA to Select a Subset of the Variables
    Factor Analysis
    Introduction
    The Factor Analysis Model
    Estimating the Parameters in the Factor Analysis Model
    Estimating the Numbers of Factors
    Fitting the Factor Analysis Model: An Example
    Rotation of Factors
    Estimating Factor Scores
    Exploratory Factor Analysis and PCA Compared
    Confirmatory Factor Analysis
    Cluster Analysis
    Introduction
    Cluster Analysis
    Agglomerative Hierarchical Clustering
    k-Means Clustering
    Model-Based Clustering
    Grouped Multivariate Data
    Introduction
    Two-Group Multivariate Data
    More Than Two Groups
    References
    Appendix: Solutions to Selected Exercises
    Index
    A Summary and Exercises appear at the end of each chapter.

    Author Bio(s)

    Brian S. Everitt is Professor Emeritus at King’s College, London, UK.

    Editorial Reviews

    … a clear, well-orchestrated guide to multivariate statistics for the post-graduate and professional behavioural scientist who possesses basic statistical knowledge. … Everitt successfully crafts a well-integrated introductory text that obviates potential difficulties by including real problems and their data sets. … the book’s applied orientation introduces the behavioural scientist to both the use and rudimentary understanding of multivariate techniques. … The book would also serve well as a training guide for the practitioner less experienced in multivariate techniques. …
    Psychometrika, June 2010

    … The first two chapters give a magnificent introduction before approaching the modeling issues. Especially the second chapter, which shows how to look at data, is among the best I have ever seen in books on multivariate methods. … He also goes well beyond the typical graphs showing how to explore real insights of the data. … the book is extremely easy to browse and read. … Putting the R code in an appendix and on the website is an excellent choice. … the huge experience of the author … makes the presentation so clear and understandable. I’ll be happy to recommend this book to students and researchers.
    International Statistical Review, 2010

    Downloads Updates


    Resource OS Platform Updated Description Instructions
    K10396 supplements.zip Cross Platform March 10, 2009

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