Applied Multivariate Statistical Analysis (Classic Version), 6th edition
Your access includes:
- Search, highlight, and take notes
- Easily create flashcards
- Use the app for access anywhere
- 14-day refund guarantee
4-month term, pay monthly or pay $43.96
Learn more, spend less
Special partners and offers
Enjoy perks from special partners and offers for students
Find it fast
Quickly navigate your eTextbook with search
Access all your eTextbooks in one place
Easily continue access
Keep learning with auto-renew
Appropriate for experimental scientists in a variety of disciplines, Applied Multivariate Statistical Analysis, 9th Edition is a readable introduction to the statistical analysis of multivariate observations. Its goal is to help you learn to make proper interpretations and select appropriate techniques for analyzing multivariate data. Ideal for a junior/senior or graduate-level course that explores the statistical methods for describing and analyzing multivariate data, it assumes 2 or more statistics courses as a prerequisite.
This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price.
Published by Pearson (May 16th 2023) - Copyright © 2023
Subject: Advanced Statistics
Category: Multivariate Statistics
(Note: Each chapter begins with an Introduction and concludes with Exercises and References.
I. GETTING STARTED
- 1. Aspects of Multivariate Analysis
- Applications of Multivariate Techniques. The Organization of Data. Data Displays and Pictorial Representations. Distance. Final Comments.
- 2. Matrix Algebra and Random Vectors
- Some Basics of Matrix and Vector Algebra. Positive Definite Matrices. A Square-Root Matrix. Random Vectors and Matrices. Mean Vectors and Covariance Matrices. Matrix Inequalities and Maximization. Supplement 2A Vectors and Matrices: Basic Concepts.
- 3. Sample Geometry and Random Sampling
- The Geometry of the Sample. Random Samples and the Expected Values of the Sample Mean and Covariance Matrix. Generalized Variance. Sample Mean, Covariance, and Correlation as Matrix Operations. Sample Values of Linear Combinations of Variables.
- 4. The Multivariate Normal Distribution
- The Multivariate Normal Density and Its Properties. Sampling from a Multivariate Normal Distribution and Maximum Likelihood Estimation. The Sampling Distribution of `X and S. Large-Sample Behavior of `X and S. Assessing the Assumption of Normality. Detecting Outliners and Data Cleaning. Transformations to Near Normality.
II. INFERENCES ABOUT MULTIVARIATE MEANS AND LINEAR MODELS
- 5. Inferences About a Mean Vector
- The Plausibility of …m0 as a Value for a Normal Population Mean. Hotelling's T2 and Likelihood Ratio Tests. Confidence Regions and Simultaneous Comparisons of Component Means. Large Sample Inferences about a Population Mean Vector. Multivariate Quality Control Charts. Inferences about Mean Vectors When Some Observations Are Missing. Difficulties Due To Time Dependence in Multivariate Observations. Supplement 5A Simultaneous Confidence Intervals and Ellipses as Shadows of the p-Dimensional Ellipsoids.
- 6. Comparisons of Several Multivariate Means
- Paired Comparisons and a Repeated Measures Design. Comparing Mean Vectors from Two Populations. Comparison of Several Multivariate Population Means (One-Way MANOVA). Simultaneous Confidence Intervals for Treatment Effects. Two-Way Multivariate Analysis of Variance. Profile Analysis. Repealed Measures, Designs, and Growth Curves. Perspectives and a Strategy for Analyzing Multivariate Models.
- 7. Multivariate Linear Regression Models
- The Classical Linear Regression Model. Least Squares Estimation. Inferences About the Regression Model. Inferences from the Estimated Regression Function. Model Checking and Other Aspects of Regression. Multivariate Multiple Regression. The Concept of Linear Regression. Comparing the Two Formulations of the Regression Model. Multiple Regression Models with Time Dependant Errors. Supplement 7A The Distribution of the Likelihood Ratio for the Multivariate Regression Model.
III. ANALYSIS OF A COVARIANCE STRUCTURE
- 8. Principal Components
- Population Principal Components. Summarizing Sample Variation by Principal Components. Graphing the Principal Components. Large-Sample Inferences. Monitoring Quality with Principal Components. Supplement 8A The Geometry of the Sample Principal Component Approximation.
- 9. Factor Analysis and Inference for Structured Covariance Matrices
- The Orthogonal Factor Model. Methods of Estimation. Factor Rotation. Factor Scores. Perspectives and a Strategy for Factor Analysis. Structural Equation Models. Supplement 9A Some Computational Details for Maximum Likelihood Estimation.
- 10. Canonical Correlation Analysis
- Canonical Variates and Canonical Correlations. Interpreting the Population Canonical Variables. The Sample Canonical Variates and Sample Canonical Correlations. Additional Sample Descriptive Measures. Large Sample Inferences.
IV. CLASSIFICATION AND GROUPING TECHNIQUES
- 11. Discrimination and Classification
- Separation and Classification for Two Populations. Classifications with Two Multivariate Normal Populations. Evaluating Classification Functions. Fisher's Discriminant Function…ñSeparation of Populations. Classification with Several Populations. Fisher's Method for Discriminating among Several Populations. Final Comments.
- 12. Clustering, Distance Methods and Ordination
- Similarity Measures. Hierarchical Clustering Methods. Nonhierarchical Clustering Methods. Multidimensional Scaling. Correspondence Analysis. Biplots for Viewing Sample Units and Variables. Procustes Analysis: A Method for Comparing Configurations.
- Standard Normal Probabilities. Student's t-Distribution Percentage Points. …c2 Distribution Percentage Points. F-Distribution Percentage Points. F-Distribution Percentage Points (…a = .10). F-Distribution Percentage Points (…a = .05). F-Distribution Percentage Points (…a = .01).
Your questions answered
When you purchase an eTextbook subscription, it will last 4 months. You can renew your subscription by selecting Extend subscription on the Manage subscription page in My account before your initial term ends.
If you extend your subscription, we'll automatically charge you every month. If you made a one‑time payment for your initial 4‑month term, you'll now pay monthly. To make sure your learning is uninterrupted, please check your card details.
To avoid the next payment charge, select Cancel subscription on the Manage subscription page in My account before the renewal date. You can subscribe again in the future by purchasing another eTextbook subscription.
When you purchase a Channels subscription it will last 1 month, 3 months or 12 months, depending on the plan you chose. Your subscription will automatically renew at the end of your term unless you cancel it.
We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details.