The only guidelines for sample size that exist in
the multidimensional scaling (MDS) literature are a
set of heuristic "rules-of-thumb" that have failed
to live up to Young’s (1970) goal of finding functional
relationships between sample size and metric
recovery. This paper develops answers to two important
sample-size questions in nonmetric weighted
MDS settings, both of which are extensions of
work reported in MacCallum and Cornelius (1977):
(1) are the sample size requirements for number of
stimuli and number of matrices compensatory?
and (2) what type of functional relationships exist
between the number of matrices and metric recovery
? The graphs developed to answer the second
question illustrate how such functional relationships
can be defined empirically in a wide range of
MDS and other complicated nonlinear models.
Index terms: metnc recovery, monte carlo study,
multidimensional scaling, sample size, weighted multidimensional
Rodgers, Joseph L. (1991). Matrix and stimulus sample sizes in the weighted MDS model: Empirical metric recovery functions. Applied Psychological Measurement, 15, 71-77. doi:10.1177/014662169101500107
Rodgers, Joseph Lee.
Matrix and stimulus sample sizes in the weighted MDS model: Empirical metric recovery functions.
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