Previous research has not shown a clear relationship
between order analytic and factor analytic approaches
to assessing the dimensionality of binary data. This
study compared factor analysis with three order analysis
procedures. Comparisons were based on eight datasets
with known dimensionality and two multidimensional
sets of mathematics data. Two of the order
analysis procedures fared poorly in reproducing the
factor structure of the datasets. The third procedure reproduced
the factors for datasets with orthogonal factors
but failed to reproduce the factors for datasets
containing oblique factors. Reasons for the differences
between these procedures are discussed.
Wise, Steven L. (1983). Comparisons of order analysis and factor analysis in assessing the dimensionality of binary data. Applied Psychological Measurement, 7, 311-321. doi:10.1177/014662168300700307
Wise, Steven L..
Comparisons of order analysis and factor analysis in assessing the dimensionality of binary data.
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