{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:K6YCMAUPU3HW3PLPJ2QVK5PYI3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"03ea8c6f53fd395870657028143ba62115de7eabeb60ac5fbc3fe323670f9faf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-05-20T07:33:35Z","title_canon_sha256":"29a04569db22447baf0ca36a0c5ddb79b57c0ac53504cc561f5ac1caf6752cfa"},"schema_version":"1.0","source":{"id":"1505.05266","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05266","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05266v3","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05266","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"K6YCMAUPU3HW","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"K6YCMAUPU3HW3PLP","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"K6YCMAUP","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:18479f2f92b74f748ed21652624c321cc1bd759e36b368c6d67bbb114b831d6e","target":"graph","created_at":"2026-05-18T01:12:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"This paper investigates the problem whether the difference between two parametric models $m_1,m_2$ describing the relation between a response variable and several covariates in two different groups is practically irrelevant, such that inference can be performed on the basis of the pooled sample. Statistical methodology is developed to test the hypotheses $H_0 : d(m_1,m_2)\\geq \\epsilon$ versus $H_1 : d(m_1,m_2) < \\epsilon$ to demonstrate equivalence between the two regression curves $m_1,m_2$ for a pre-specified threshold $\\epsilon$, where $d$ denotes a distance measuring the distance between $","authors_text":"Frank Bretz, Holger Dette, Kathrin M\\\"ollenhoff, Stanislav Volgushev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-05-20T07:33:35Z","title":"Equivalence of dose response curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05266","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:01e94055a4f129a8129b96b20d5b7d654821734301beeff0756436e6e2d53cb8","target":"record","created_at":"2026-05-18T01:12:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"03ea8c6f53fd395870657028143ba62115de7eabeb60ac5fbc3fe323670f9faf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-05-20T07:33:35Z","title_canon_sha256":"29a04569db22447baf0ca36a0c5ddb79b57c0ac53504cc561f5ac1caf6752cfa"},"schema_version":"1.0","source":{"id":"1505.05266","kind":"arxiv","version":3}},"canonical_sha256":"57b026028fa6cf6dbd6f4ea15575f846d15eb801c69a6f2dd1091d254235a278","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57b026028fa6cf6dbd6f4ea15575f846d15eb801c69a6f2dd1091d254235a278","first_computed_at":"2026-05-18T01:12:43.456390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:43.456390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7OPLuhaH9qL6yKZmySTHQn7CP/ujju1BBldy4wGyc5DnSzGnvj5sfwNUixLGd97na7l2yCFb5d0HhmxnyQzsDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:43.456844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05266","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01e94055a4f129a8129b96b20d5b7d654821734301beeff0756436e6e2d53cb8","sha256:18479f2f92b74f748ed21652624c321cc1bd759e36b368c6d67bbb114b831d6e"],"state_sha256":"d4a2fb64545ea4a2097ee34d8790e73c7c5bbc572644f43d50fc250115b025d1"}