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Multivariate Analysis in the Human Services

Author: John R Schuerman
Publisher: Dordrecht : Springer Netherlands, 1983.
Series: International series in social welfare, 2.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Research and evaluation in the human services usually involves a relatively large number of variables. We are interested in phenomena that have many aspects and many causes. The techniques needed to deal with many variables go beyond those of introductory statistics. Elementary procedures in statistics are limited in usefulness to situations in which we have two or three variables. When we have more than that,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John R Schuerman
ISBN: 9789400966611 940096661X
OCLC Number: 851371537
Description: 1 online resource (292 pages).
Contents: 1 Introduction --
2 Mathematical Preliminaries --
Functions of Variables --
Matrices --
Matrix Algebra --
Some Matrices We Will Encounter --
Singularity of Matrices and Determinants --
Inverse of Matrices --
Problems --
3 Multiple Regression I --
The Model in Matrix Terms --
Review of Analysis of Variance --
Two-Way Analysis of Variance --
The Analysis of Variance of Regression --
Interpretation of Regression Coefficients --
Residuals --
4 Multiple Regression II --
Building a Regression Equation --
Coding of Categorical Variables for Regression Analysis --
and Partial Correlation-Statistical Control --
5 More on Matrices --
Vectors --
Transformation of a Vector by a Matrix --
Projections --
Problems --
6 Principal Components Analysis --
Two Variables, Three Cases --
Two Variables, n Cases --
Three Variables --
p Variables --
Scaling of Principal Components --
Reducing the Number of Principal Components --
Naming the Principal Components --
Example --
7 Factor Analysis --
Points as Variables Instead of Individuals --
Subspaces --
The Decomposition of Variables --
The Correlation Matrix and Its Factors --
Extraction Methods --
Rotation --
Factor Scores --
Example --
8 Multivariate Tests of Means --
Single-Sample Mean Test --
Two-Sample Mean Test --
Three or More Samples --
Example --
9 Discriminant Analysis --
Geometric Representation --
Algebra of Discriminant Analysis --
The Discriminant Coefficients --
Significance Testing --
Classification --
10 Other Multivariate Techniques --
Multivariate Multiple Regression --
Canonical Correlation --
Multivariate Analysis of Covariance --
11 Repeated Measures Analysis --
Single-Group Designs --
N-Sample Case --
Appendixes --
A. The Greek Alphabet --
B. Random Variables, Expected Values, and Variance --
C.A Little Calculus --
D.A Little Trigonometry --
E. Still More on Matrices --
F. Logarithms --
G. Matrix Routines in SAS.
Series Title: International series in social welfare, 2.
Responsibility: by John R. Schuerman.

Abstract:

Research and evaluation in the human services usually involves a relatively large number of variables. This is the problem of "estimation," that is, estimating the relationships or effects between  Read more...

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