## An ordinal evaluation of categorical judgement data by random utilities and a corresponding correlation analysis

Autor(en): | Suck, R |

Stichwörter: | biorders; categorical judgement; Mathematical Methods In Social Sciences; Mathematics; Mathematics, Interdisciplinary Applications; order polytope; polyhedral combinatorics; Psychology; Psychology, Mathematical; random utility representations; REPRESENTATIONS; Social Sciences, Mathematical Methods; SYSTEMS; THEOREM |

Erscheinungsdatum: | 2005 |

Herausgeber: | ACADEMIC PRESS INC ELSEVIER SCIENCE |

Journal: | JOURNAL OF MATHEMATICAL PSYCHOLOGY |

Volumen: | 49 |

Ausgabe: | 6 |

Startseite: | 489 |

Seitenende: | 497 |

Zusammenfassung: | Categorical judgement data are analyzed along the lines of random utility theory. A class of orders is introduced (categorical weak orders); their characteristic vectors are regarded as points in a Euclidean space; their convex hull forms a polytope whose facets are fully characterized. This polytope is shown to correspond to an order polytope. Furthermore, its relation to the biorder polytope is pointed out. The convex representations of a given point of the polytope are discussed. The impact of these results on the methods of analyzing data arising from a categorical judgement procedure is outlined. In particular, some consequences are drawn with respect to the usual evaluation of correlations of such data. (c) 2005 Elsevier Inc. All rights reserved. |

ISSN: | 00222496 |

DOI: | 10.1016/j.jmp.2005.08.004 |

Show full item record