{"paper":{"title":"ANCOVA: A heteroscedastic global test when there is curvature and two covariates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Rand Wilcox","submitted_at":"2015-09-01T00:54:56Z","abstract_excerpt":"For two independent groups, let $M_j(\\mathbf{X})$ be some conditional measure of location for the $j$th group associated with some random variable $Y$ given $\\mathbf {X}=(X_1, X_2)$. Let $\\Omega=\\{\\mathbf{X}_1, \\ldots, \\mathbf{X}_K\\}$ be a set of $K$ points to be determined. An extant technique can be used to test $H_0$:\n  $M_1(\\mathbf{X})=M_2(\\mathbf{X})$ for each $\\mathbf{X} \\in \\Omega$ without making any parametric assumption about $M_j(\\mathbf{X})$. But there are two general reasons to suspect that the method can have relatively low power.\n  The paper reports simulation results on an alter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00103","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}