Principal components analysis of the similarity matrix

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The following data was obtained by Rothkopf (1957) using 598 individuals who were asked to judge whether a pair of consecutively presented Morse code singals were identical or not. Using the pairwise comparisons similarity data matrix of proportions, we wish to discern a possible ordering, in a space of smaller dimension, of correctly identified (incorrectly confused) Morse code signals:

(a) Carry out a principal components analysis of the similarity matrix.

(b) Carry out a maximum likelihood factor analysis using information obtained from part a.

(c) Compare the two analyses with each other, as well as to Shepard's (1963) multidimensional scaling analysis of the data.

Reference no: EM131059740

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