Simultaneous Factor Analysis of Dichotomous Variables in Several Groups
PsychometrikaPublished 1 December 1981
Bengt Muthén, Anders Christoffersson
Citations229
SJR quartileQ1
SJR score1.90
SNIP2.06
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
A new method is proposed for a simultaneous factor analysis of dichotomous responses from several groups of individuals. The method makes it possible to compare factor loading pattern, factor variances and covariances, and factor means over groups. The method uses information from first and second order proportions and estimates the model by generalized least-squares. Hypotheses regarding different degrees of invariance over groups may be evaluated by a large-sample chi-square test.
Keywords
MathematicsDecision SciencesAgricultural and Biological Sciences
American Educational Research JournalStatistical Theories of Mental Test Scores
8,138 Citations1969William W. Rozeboom, Frederic M. Lord +2 more
The Computer JournalA Rapidly Convergent Descent Method for Minimization
4,571 Citations1963R. Fletcher, M. J. D. Powell
British Journal of Mathematical and Statistical PsychologyA GENERAL METHOD FOR STUDYING DIFFERENCES IN FACTOR MEANS AND FACTOR STRUCTURE BETWEEN GROUPS
682 Citations1974Dag Sörbom
PsychometrikaFitting a Response Model for <i>n</i> Dichotomously Scored Items
619 Citations1970R. Darrell Bock, Marcus Lieberman
PsychometrikaAnalysis of Covariance Structures
328 Citations1966R. Darrell Bock, Rolf E. Bargmann
A general method for estimating variance components when the experimental design has one random way of classification and a possibly unbalanced fixed classification and applications to mental test data are presented.
Multivariate Behavioral ResearchOn The Robustness Of Factor Analysis Against Crude Classification Of The Observations
209 Citations1979Ulf Olsson
The results indicate that classification may lead to a substantial lack of fit of the model, i.e. an erroneous indication that more factors are needed if the variables are skewed in opposite direction and have high true loadings, but does not depend much on the number of scale steps.
ETS Research Bulletin SeriesA COMPUTER PROGRAM FOR MINIMIZING A FUNCTION OF SEVERAL VARIABLES1
44 Citations1970Gunnar Gruvaeus, Karl G. Jöreskog
The Fletcher-Powell algorithm for minimizing a function of several variables and its use is discussed and illustrated and it is shown that the algorithm can be used also when the variables satisfy certain equality constraints.
