Exploring interactions in high-dimensional tables: a bootstrap alternative to log-linear models
| Autor: | Bernd Streitberg |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Statistics and Probability
multiple comparisons 62E30 Moebius function High dimensional contingency tables Combinatorics 62G09 Lattice (order) Applied mathematics p-value bootstrap Cumulant 62H20 Mathematics Probability measure Contingency table 05A18 cumulants 06A07 Multiple comparisons problem 62H17 62J15 Log-linear model Additive interactions Statistics Probability and Uncertainty |
| Zdroj: | Ann. Statist. 27, no. 1 (1999), 405-413 |
| ISSN: | 0090-5364 |
| DOI: | 10.1214/aos/1018031118 |
| Popis: | Based on a revised Lancaster-type representation of the additive interactions associated with a probability measure, a new approach for the analysis of high-dimensional contingency tables is proposed. The approach is essentially model-free because the additive interaction tensor is merely a convenient reparameterization of the given table. Single interaction terms are investigated using the bootstrap method whose first-order asymptotic validity is immediate. The global structure can be investigated by using the multiple $p$-values given by Holm’s sequentially rejecting multiple testing procedure. The procedure is based on a characterization of the Moebius function as a solution of the simultaneous eigenproblem for all intersection operators in a finite lattice. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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