Book description
Real-world problems and data sets are the backbone of Ravindra Khattree and Dayanand Naik's Applied Multivariate Statistics with SAS Software, Second Edition, which provides a unique approach to the topic, integrating statistical methods, data analysis, and applications. Now extensively revised, the book includes new information about mixed effects models, applications of the MIXED procedure, regression diagnostics with the corresponding IML procedure code, and covariance structures. The authors' approach to the information will aid professors, researchers, and students in a variety of disciplines and industries. Extensive SAS code and the corresponding high-resolution output accompany sample problems, and clear explanations of SAS procedures are included. Emphasis is on correct interpretation of the output to draw meaningful conclusions. Featuring both the theoretical and the practical, topics covered include multivariate analysis of experimental data and repeated measures data, graphical representation of data including biplots, and multivariate regression. In addition, a quick introduction to the IML procedure with special reference to multivariate data is available in an appendix. SAS programs and output integrated with the text make it easy to read and follow the examples.
Table of contents
- Copyright
- Dedication
- Preface
- Commonly Used Notation
- Multivariate Analysis Concepts
- Graphical Representation of Multivariate Data
-
Multivariate Regression
- Introduction
- Statistical Background
- Least Squares Estimation
- ANOVA Partitioning
- Testing Hypotheses: Linear Hypotheses
- Simultaneous Confidence Intervals
- Multiple Response Surface Modeling
- General Linear Hypotheses
- Variance and Bias Analyses for Calibration Problems
- Regression Diagnostics
- Concluding Remarks
- Multivariate Analysis of Experimental Data
- Analysis of Repeated Measures Data
- Analysis of Repeated Measures Using Mixed Models
-
References
-
A Brief Introduction to the IML Procedure
- The First SAS Statement
- Scalars
- Matrices
- Printing of Matrices
- Algebra of Matrices
- Transpose
- Inverse
- Finding the Number of Rows and Columns
- Trace and Determinant
- Eigenvalues and Eigenvectors
- Square Root of a Symmetric Nonnegative Definite Matrix
- Generalized Inverse of a Matrix
- Singular Value Decomposition
- Symmetric Square Root of a Symmetric Nonnegative Definite Matrix
- Kronecker Product
- Augmenting Two or More Matrices
- Construction of a Design Matrix
- Checking the Estimability of a Linear Function p'β
- Creating a Matrix from a SAS Data Set
- Creating a SAS Data Set from a Matrix
- Generation of Normal Random Numbers
- Computation of Cumulative Probabilities
- Computation of Percentiles and Cut Off Points
- Data Sets
Product information
- Title: APPLIED MULTIVARIATE STATISTICS: WITH SAS® SOFTWARE
- Author(s):
- Release date: February 1999
- Publisher(s): SAS Institute
- ISBN: 9781580253574
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