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"Factor Analysis" is a genetic term for a somewhat vaguely
delimited set of techniques for data processing, mainly applicable
to the social and biological sciences. These techniques have been
developed for the analysis of mutual relationships among a number
of measurements made on a number of measurable entities. In the
broad sense, factor analysis comprises a number of statistical
models which yield testable hypotheses -- hypotheses that may
confirm or disconfirm in terms of the usual statistical procedures
for making tests of significance. It also comprises a number of
simplifying procedures for the approximate description of data,
which do not in any sense constitute disconfirmable hypotheses,
except in the loose sense that they supply approximations to the
data. In literature, the two types of analysis have often been
confused.
This book introduces the reader to the main quantitative concepts, methods, and computational techniques needed for the development, evaluation, and application of tests in the behavioral/social sciences, including educational tests. Two empirical examples are carried throughout to illustrate alternative methods. Other data sets are used for special illustrations. Self-contained programs for confirmatory and exploratory factor analysis are available on the Web. Intended for students of psychology, particularly educational psychology, as well as social science students interested in how tests are constructed and used, prerequisites include a course on statistics. The programs and data files for this book can be downloaded from www.psypress.com/test-theory/
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