Earlier work has shown that when multidimensional
scaling (MDS) is applied to item intercorrelations, metric
MDS implicitly subtracts the standardized person
mean (SPM) from responses. As a result, when a metric
or nonmetric MDS solution is compared to a components
solution, the components solution often contains
one component with no counterpart among the
scaling dimensions. If self-report items form a balanced
scale and negatively worded items are not reverse
scored, the SPM is closely related to several concepts
of acquiescence and disacquiescence. In this
paper, MDS and components solutions are compared
using two balanced self-report item sets. In the Likert
self-report attitude item set, the MDS and components
solutions were essentially the same. In a set of affective
well-being items, the components solution contained
a general component with no counterpart among
the scaling dimensions. Scores along the general component
were substantially correlated with measures of
acquiescence and disacquiescence. Results in the second
dataset suggest that when the self-report items are
balanced and the negatively worded items have not
been reverse scored, MDS and components solutions
can differ largely with respect to a component closely
associated with certain measures of acquiescence. Index
terms: acquiescence, attitude measurement, factor
analysis, multidimensional scaling, personality measurement,
response bias, self-report items.
Davison, Mark L & Srichantra, Niyada. (1988). Acquiescence in components analysis and multidimensional scaling of self-rating items. Applied Psychological Measurement, 12, 339-351. doi:10.1177/014662168801200402
Davison, Mark L.; Srichantra, Niyada.
Acquiescence in components analysis and multidimensional scaling of self-rating items.
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