{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:NLLMNL6RVEZSC3FDE7KYOM36UE","short_pith_number":"pith:NLLMNL6R","schema_version":"1.0","canonical_sha256":"6ad6c6afd1a933216ca327d587337ea11183a4af6fa9bf0e7abed55627e60c8a","source":{"kind":"arxiv","id":"2606.27971","version":1},"attestation_state":"computed","paper":{"title":"A beta-binomial model respecting randomization and its comparison to the standard beta-binomial model that ignores randomization for the meta-analysis of rare events","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Maxi Schulz, Oliver Kuss, Tim Mathes","submitted_at":"2026-06-26T11:19:22Z","abstract_excerpt":"Background: One of the suggested models for meta-analysis with rare events is the beta-binomial model (BBM). The main advantage of this model compared to inverse-variance models, is that it uses information from zero cells without needing a continuity correction. A disadvantage of the standard BBM is that it ignores randomization. Here we introduce a BBM that respects randomization. Methods: The main idea to preserve randomization is using a common-beta BBM. We illustrate that randomization is preserved by conditioning on the total sum of counts in a studys four-fold table when estimating the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.27971","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-26T11:19:22Z","cross_cats_sorted":[],"title_canon_sha256":"1ac9744d818de2909274fb2f6c9943e4975c9088cb947b9b205dd2f2c135371f","abstract_canon_sha256":"463da2d0f92634f84566019e23a50281f45ad644628ddff219c3097299f9ba11"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-29T01:14:54.207049Z","signature_b64":"6KgH7S8HZExC02lKKvNk76Zf4kfivCi1h28A4pkiil98lJ+zTRQPLilEZwDnZ+veYAPlDD6x7pOGKmO9+JSBAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ad6c6afd1a933216ca327d587337ea11183a4af6fa9bf0e7abed55627e60c8a","last_reissued_at":"2026-06-29T01:14:54.206644Z","signature_status":"signed_v1","first_computed_at":"2026-06-29T01:14:54.206644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A beta-binomial model respecting randomization and its comparison to the standard beta-binomial model that ignores randomization for the meta-analysis of rare events","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Maxi Schulz, Oliver Kuss, Tim Mathes","submitted_at":"2026-06-26T11:19:22Z","abstract_excerpt":"Background: One of the suggested models for meta-analysis with rare events is the beta-binomial model (BBM). The main advantage of this model compared to inverse-variance models, is that it uses information from zero cells without needing a continuity correction. A disadvantage of the standard BBM is that it ignores randomization. Here we introduce a BBM that respects randomization. Methods: The main idea to preserve randomization is using a common-beta BBM. We illustrate that randomization is preserved by conditioning on the total sum of counts in a studys four-fold table when estimating the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27971","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.27971/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.27971","created_at":"2026-06-29T01:14:54.206704+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.27971v1","created_at":"2026-06-29T01:14:54.206704+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27971","created_at":"2026-06-29T01:14:54.206704+00:00"},{"alias_kind":"pith_short_12","alias_value":"NLLMNL6RVEZS","created_at":"2026-06-29T01:14:54.206704+00:00"},{"alias_kind":"pith_short_16","alias_value":"NLLMNL6RVEZSC3FD","created_at":"2026-06-29T01:14:54.206704+00:00"},{"alias_kind":"pith_short_8","alias_value":"NLLMNL6R","created_at":"2026-06-29T01:14:54.206704+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NLLMNL6RVEZSC3FDE7KYOM36UE","json":"https://pith.science/pith/NLLMNL6RVEZSC3FDE7KYOM36UE.json","graph_json":"https://pith.science/api/pith-number/NLLMNL6RVEZSC3FDE7KYOM36UE/graph.json","events_json":"https://pith.science/api/pith-number/NLLMNL6RVEZSC3FDE7KYOM36UE/events.json","paper":"https://pith.science/paper/NLLMNL6R"},"agent_actions":{"view_html":"https://pith.science/pith/NLLMNL6RVEZSC3FDE7KYOM36UE","download_json":"https://pith.science/pith/NLLMNL6RVEZSC3FDE7KYOM36UE.json","view_paper":"https://pith.science/paper/NLLMNL6R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.27971&json=true","fetch_graph":"https://pith.science/api/pith-number/NLLMNL6RVEZSC3FDE7KYOM36UE/graph.json","fetch_events":"https://pith.science/api/pith-number/NLLMNL6RVEZSC3FDE7KYOM36UE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NLLMNL6RVEZSC3FDE7KYOM36UE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NLLMNL6RVEZSC3FDE7KYOM36UE/action/storage_attestation","attest_author":"https://pith.science/pith/NLLMNL6RVEZSC3FDE7KYOM36UE/action/author_attestation","sign_citation":"https://pith.science/pith/NLLMNL6RVEZSC3FDE7KYOM36UE/action/citation_signature","submit_replication":"https://pith.science/pith/NLLMNL6RVEZSC3FDE7KYOM36UE/action/replication_record"}},"created_at":"2026-06-29T01:14:54.206704+00:00","updated_at":"2026-06-29T01:14:54.206704+00:00"}