Austrian national guest survey: AA versus PAA

This document reproduces the comparison of the probabilistic and the classical archetypes in the example “Austrian national guest survey” presented in the paper “Probabilistic archetypal analysis” by Seth and Eugster (2014). The Rmd file lists the corresponding R code.

Probabilistic archetypes:

##                   PAA1 PAA3 PAA5 PAA4 PAA6 PAA2
## A01.alpine.ski     1.0  1.0  1.0  1.0  0.0  0.0
## A02.tour.ski       0.4  0.0  0.0  0.0  0.0  0.0
## A03.snowboard      0.0  0.0  0.0  0.6  0.0  0.0
## A04.cross.country  0.7  0.0  0.0  0.0  0.0  0.0
## A05.ice.skating    0.6  0.0  0.0  0.0  0.0  0.0
## A06.sledge         1.0  0.0  0.0  0.0  0.0  0.0
## A07.tennis         0.1  0.0  0.0  0.0  0.0  0.2
## A08.riding         0.0  0.0  0.0  0.0  0.0  0.1
## A09.pool.sauna     1.0  0.0  0.4  1.0  0.8  0.1
## A10.spa            0.2  0.0  0.0  0.0  0.8  0.0
## A11.hiking         1.0  0.0  0.0  0.0  1.0  0.2
## A12.walk           1.0  0.0  1.0  0.0  1.0  1.0
## A13.org.excursion  0.3  0.0  0.0  0.0  0.0  0.4
## A14.ind.excursion  0.8  0.0  0.0  0.0  0.9  1.0
## A15.relax          1.0  0.0  1.0  1.0  1.0  0.8
## A16.dinner         0.8  0.5  0.9  0.0  0.0  1.0
## A17.shopping       1.0  0.0  1.0  0.0  0.3  1.0
## A18.concert        0.0  0.0  0.0  0.0  0.0  0.3
## A19.sightseeing    0.7  0.0  0.0  0.0  0.7  1.0
## A20.heimat         0.6  0.0  0.0  0.0  0.0  0.0
## A21.museum         0.0  0.0  0.0  0.0  0.0  1.0
## A22.theater        0.0  0.0  0.0  0.0  0.0  0.3
## A23.heurigen       0.0  0.0  0.0  0.0  0.0  0.4
## A24.local.event    1.0  0.0  0.0  0.0  0.0  0.1
## A25.disco          0.7  0.0  0.0  1.0  0.0  0.1

Classical archetypes:

The classical archetypes were computed with the archetypes package. The presented solution is the best solution out of twenty repetitions.

##                    AA5  AA3  AA2  AA4  AA1  AA6
## A01.alpine.ski     1.0  1.0  1.0  0.8  0.4  0.0
## A02.tour.ski       0.4  0.0  0.0  0.0  0.1  0.0
## A03.snowboard      0.0  0.0  0.0  1.0  0.1  0.0
## A04.cross.country  1.0  0.0  0.0  0.0  0.0  0.1
## A05.ice.skating    0.9  0.0  0.0  0.0  0.0  0.0
## A06.sledge         1.0  0.0  0.1  0.2  0.0  0.0
## A07.tennis         0.1  0.0  0.0  0.1  0.3  0.0
## A08.riding         0.0  0.0  0.0  0.0  0.2  0.0
## A09.pool.sauna     1.0  0.0  1.0  0.5  0.8  0.0
## A10.spa            0.2  0.0  0.3  0.0  0.6  0.2
## A11.hiking         0.9  0.0  0.0  0.0  0.4  0.9
## A12.walk           1.0  0.0  0.8  0.8  0.9  1.0
## A13.org.excursion  0.2  0.0  0.0  0.1  0.6  0.1
## A14.ind.excursion  0.7  0.0  0.0  0.1  0.8  1.0
## A15.relax          0.9  0.0  1.0  1.0  0.9  0.9
## A16.dinner         0.6  0.7  0.0  1.0  0.9  0.7
## A17.shopping       0.7  0.0  0.4  1.0  0.8  0.9
## A18.concert        0.0  0.0  0.0  0.0  0.7  0.0
## A19.sightseeing    0.5  0.0  0.0  0.0  1.0  1.0
## A20.heimat         0.5  0.0  0.0  0.0  0.3  0.0
## A21.museum         0.0  0.0  0.0  0.0  1.0  0.4
## A22.theater        0.0  0.0  0.0  0.0  0.9  0.0
## A23.heurigen       0.0  0.0  0.0  0.0  0.7  0.1
## A24.local.event    0.7  0.0  0.0  0.2  0.7  0.0
## A25.disco          0.5  0.4  0.0  1.0  0.4  0.0