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Regression and Factor Analysis

Biometrika, 1973
SUMMARY A basic model of factor analysis is employed in the estimation of multiple correlation coefficients and partial regression weights. Estimators are derived for situations in which some or all of the independent variates are subject to errors in measurement.
Lawley, D. N., Maxwell, A. E.
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DESCRIPTIVE FACTOR ANALYSIS

Multivariate Behavioral Research, 1968
-When a set of variables cannot be regarded as being drawn from a well defined population, the estimation of communalities, population parameters, and universe factors is not a rational undertaking. A descriptive factor analysis can be performed by weighting test vectors inversely as the components of total test variance unable to determine a test ...
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Independent Factor Analysis

Neural Computation, 1999
We introduce the independent factor analysis (IFA) method for recovering independent hidden sources from their observed mixtures. IFA generalizes and unifies ordinary factor analysis (FA), principal component analysis (PCA), and independent component analysis (ICA), and can handle not only square noiseless mixing but also the general case where the ...
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Unravelling factor analysis

Evidence Based Mental Health, 2008
Factor analysis is a broad term that refers to a set of statistical methods used to detect underlying patterns in the relationships among a number of observed variables. Its origins were in the large scale studies defining the dimensions of intelligence pioneered by Thurstone.1 ,2 Factor analysis can appear complicated to the general reader but the ...
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Fisher Discriminant Analysis and Factor Analysis

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1983
We show that information on the inherent structure of multidimensional data derived from a factor analysis procedure is equivalent to information obtained by Fisher discriminant analysis techniques, provided certain conditions, usually required in the factor analysis model, are satisfied.
Della Riccia, Giacomo   +1 more
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FACTOR INTERACTION IN NONLINEAR FACTOR ANALYSIS

British Journal of Mathematical and Statistical Psychology, 1967
Factor interaction models are defined as those cases in nonlinear factor analysis in which the specification equation contains products of two or more latent variables or functions of latent variables. A complete algebraic treatment is given for the case of a product of two latent variables, and certain more general cases are briefly outlined.
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THE THEORETICAL FOUNDATIONS OF PRINCIPAL FACTOR ANALYSIS, CANONICAL FACTOR ANALYSIS, AND ALPHA FACTOR ANALYSIS

British Journal of Mathematical and Statistical Psychology, 1970
It is shown that PFA, CFA and AFA are particular cases of a scale‐invariant factoring procedure based on variance ratios of certain weighted combinations of variables. Standard derivations in the literature are shown, in contrast, to have unsatisfactory features.
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Profile Factor Analysis and Variable Factor Analysis

Psychological Reports, 1964
Nunnally (1962) mentions three types of profile factor analyses: correlational, covariance, and raw score sums of crossproducts. When principal components factors are used, each of these profile analyses corresponds to a precisely equivalent factor analysis of variables.
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Factor analysis

Work Study, 1993
Asks how to judge between competing work study projects in order that efforts are wisely and profitably directed. Shows that factor analysis can be a useful technique to determine which of a number of possible paths of an investigation are likely to yield the best results. Describes factor analysis by citing a specific example.
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Risk factor analysis

Progress in Cardiovascular Diseases, 1984
W B, Kannel, A, Schatzkin
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