What question did this study set out to answer?

Extend pairwise cross-product statistics to higher-order product spaces for comparing generalized proximity functions in structured data.

November 1, 1978British Journal of Mathematical and Statistical Psychology

Generalized proximity function comparisons

View Full Paper

Ask AI

Bookmark

Authors

LHLawrence J. HubertUniversity of Illinois Urbana-Champaign

Discussion

Member takes

Implication

Methodological analysis demonstrates generalized cross-product statistics for higher-order proximity functions, indicating improved frameworks for cluster analysis and seriation.

Key Points

Extend pairwise cross-product statistics to higher-order product spaces for comparing generalized proximity functions in structured data.
Formulated cross-product statistics based on functions defined on three-way and four-way Cartesian products derived from base proximity measures.
Introduced an approximate permutation test procedure to evaluate the statistical significance of the generalized indices.
Applied two generalized statistics to a practical data analysis problem comparing a set partition against pairwise proximity functions.
Constructed a versatile family of comparison indices applicable to cluster analysis and seriation problems.
Established an approximate permutation testing method to reliably assess index magnitudes across multi-element combinations.
Demonstrated practical utility by effectively validating set partitions against proximity structures in a representative application.

Cite This Study

Lawrence J. Hubert (1978) studied this question.

synapsesocial.com/papers/6a18f183e0375f9dbfcfefb1 https://doi.org/10.1111/j.2044-8317.1978.tb00583.x

View Full Paper

Ask AI

Bookmark

Implication

Methodological analysis demonstrates generalized cross-product statistics for higher-order proximity functions, indicating improved frameworks for cluster analysis and seriation.

Generalized proximity function comparisons

Discussion

Member takes

Implication

Key Points

Cite This Study

Generalized proximity function comparisons

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider