Multivariate Analysis in the Human Services

✍ Scribed by John R. Schuerman (auth.)

• Publisher: Springer Netherlands
• Year: 1983
• Tongue: English
• Leaves: 276
• Series: International Series in Social Welfare 2
• Edition: 1
• Category: Library

✦ Synopsis

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, application of elementary techniques will often yield mis­ leading results. Why are elementary techniques inadequate when applied to many variables? Why, for example, should we not simply interpret a series of correlations of independent and dependent variables? The answer lies in the fact that these correlations are not independent pieces of information. The correlations of vari­ ables x and z with yare affected by the association of x with z. Hence, talk about the "effect" of x on y will be somewhat ambiguous, since we will be in­ cluding in that effect some of the effects of z. We would like to be able to sort out these effects. This is the problem of "estimation," that is, estimating the relationships or effects between variables, taking into account their relationships with other variables.

✦ Table of Contents

Front Matter....Pages i-xiii
Introduction....Pages 1-4
Mathematical Preliminaries....Pages 5-23
Multiple Regression I....Pages 25-61
Multiple Regression II....Pages 63-71
More on Matrices....Pages 73-92
Principal Components Analysis....Pages 93-119
Factor Analysis....Pages 121-146
Multivariate Tests of Means....Pages 147-165
Discriminant Analysis....Pages 167-176
Other Multivariate Techniques....Pages 177-188
Repeated Measures Analysis....Pages 189-208
Back Matter....Pages 267-274

✦ Subjects

Social Sciences, general