Exploring interactions in high-dimensional tables: a bootstrap alternative to log-linear models
Streitberg, Bernd
Ann. Statist., Tome 27 (1999) no. 4, p. 405-413 / Harvested from Project Euclid
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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.
Publié le : 1999-03-14
Classification:  Additive interactions,  cumulants,  contingency tables,  bootstrap,  Moebius function,  multiple comparisons.,  62H17,  62E30,  62H20,  62G09,  62J15,  05A18,  06A07 
@article{1018031118,
     author = {Streitberg, Bernd},
     title = {Exploring interactions in high-dimensional tables: a bootstrap
			 alternative to log-linear models},
     journal = {Ann. Statist.},
     volume = {27},
     number = {4},
     year = {1999},
     pages = { 405-413},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1018031118}
}

Streitberg, Bernd. Exploring interactions in high-dimensional tables: a bootstrap
			 alternative to log-linear models. Ann. Statist., Tome 27 (1999) no. 4, pp.  405-413. http://gdmltest.u-ga.fr/item/1018031118/