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A Kernel Test for Three-Variable Interactions

Published in London School of Economics and Political Science Research Online (London School of Economics and Political Science) • Jun 10, 2013
NobleIDNI9P55W99R70S59
Authors:
Dino Sejdinović
,
Arthur Gretton
,
Wicher Bergsma

Abstract

We introduce kernel nonparametric tests for Lancaster three-variable interaction and for total independence, using embeddings of signed measures into a reproducing kernel Hilbert space. The resulting test statistics are straightforward to compute, and are used in powerful interaction tests, which ar...

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