Finding archetypal patterns for binary questionnaires
- URL: http://arxiv.org/abs/2003.00043v1
- Date: Fri, 28 Feb 2020 20:01:24 GMT
- Title: Finding archetypal patterns for binary questionnaires
- Abstract summary: Archetypal analysis is an exploratory tool that explains a set of observations as mixtures of pure (extreme) patterns.
For the first time, we propose to use archetypoid analysis for binary observations.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: Archetypal analysis is an exploratory tool that explains a set of
observations as mixtures of pure (extreme) patterns. If the patterns are actual
observations of the sample, we refer to them as archetypoids. For the first
time, we propose to use archetypoid analysis for binary observations. This tool
can contribute to the understanding of a binary data set, as in the
multivariate case. We illustrate the advantages of the proposed methodology in
a simulation study and two applications, one exploring objects (rows) and the
other exploring items (columns). One is related to determining student skill
set profiles and the other to describing item response functions.
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