{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:LC5NWLNG2DT34CI7MEUSIRPMG3","short_pith_number":"pith:LC5NWLNG","schema_version":"1.0","canonical_sha256":"58badb2da6d0e7be091f61292445ec36d262839d6a6626b6fbb914083aa00617","source":{"kind":"arxiv","id":"2209.13686","version":3},"attestation_state":"computed","paper":{"title":"False Discovery Rate Adjustments for Average Significance Level Controlling Tests","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Timothy B. Armstrong","submitted_at":"2022-09-27T20:48:58Z","abstract_excerpt":"Multiple testing adjustments, such as the Benjamini & Hochberg (1995) step-up procedure for controlling the false discovery rate (FDR), are typically applied to families of tests that control significance level in the classical sense: for each individual test, the probability of false rejection is no greater than the nominal level. In this paper, we consider tests that satisfy only a weaker notion of significance level control, in which the probability of false rejection need only be controlled on average over the hypotheses. We find that the Benjamini & Hochberg (1995) step-up procedure still"},"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":"2209.13686","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2022-09-27T20:48:58Z","cross_cats_sorted":[],"title_canon_sha256":"16f74a9e181c3298d545481f563c87ca74fb8ae7800876b7eec01c4b51be5266","abstract_canon_sha256":"1870116011ce29edaa69c29a1fbf766b9cd97a14688c19a2ee81a6392bbf4c15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:09:03.290007Z","signature_b64":"c0wKnoD4Wd8AqujcmGtTVqs1AjOr/+WdlzP5s3rIQm8IiTyF/jdBHZ/BqhzsoeGgoqbZBwM/wfUaSxF/2pd+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58badb2da6d0e7be091f61292445ec36d262839d6a6626b6fbb914083aa00617","last_reissued_at":"2026-06-12T01:09:03.288997Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:09:03.288997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"False Discovery Rate Adjustments for Average Significance Level Controlling Tests","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Timothy B. Armstrong","submitted_at":"2022-09-27T20:48:58Z","abstract_excerpt":"Multiple testing adjustments, such as the Benjamini & Hochberg (1995) step-up procedure for controlling the false discovery rate (FDR), are typically applied to families of tests that control significance level in the classical sense: for each individual test, the probability of false rejection is no greater than the nominal level. In this paper, we consider tests that satisfy only a weaker notion of significance level control, in which the probability of false rejection need only be controlled on average over the hypotheses. We find that the Benjamini & Hochberg (1995) step-up procedure still"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.13686","kind":"arxiv","version":3},"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/2209.13686/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":"2209.13686","created_at":"2026-06-12T01:09:03.289132+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.13686v3","created_at":"2026-06-12T01:09:03.289132+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.13686","created_at":"2026-06-12T01:09:03.289132+00:00"},{"alias_kind":"pith_short_12","alias_value":"LC5NWLNG2DT3","created_at":"2026-06-12T01:09:03.289132+00:00"},{"alias_kind":"pith_short_16","alias_value":"LC5NWLNG2DT34CI7","created_at":"2026-06-12T01:09:03.289132+00:00"},{"alias_kind":"pith_short_8","alias_value":"LC5NWLNG","created_at":"2026-06-12T01:09:03.289132+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.21304","citing_title":"How does limma-trend work? An empirical partially Bayes perspective","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LC5NWLNG2DT34CI7MEUSIRPMG3","json":"https://pith.science/pith/LC5NWLNG2DT34CI7MEUSIRPMG3.json","graph_json":"https://pith.science/api/pith-number/LC5NWLNG2DT34CI7MEUSIRPMG3/graph.json","events_json":"https://pith.science/api/pith-number/LC5NWLNG2DT34CI7MEUSIRPMG3/events.json","paper":"https://pith.science/paper/LC5NWLNG"},"agent_actions":{"view_html":"https://pith.science/pith/LC5NWLNG2DT34CI7MEUSIRPMG3","download_json":"https://pith.science/pith/LC5NWLNG2DT34CI7MEUSIRPMG3.json","view_paper":"https://pith.science/paper/LC5NWLNG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.13686&json=true","fetch_graph":"https://pith.science/api/pith-number/LC5NWLNG2DT34CI7MEUSIRPMG3/graph.json","fetch_events":"https://pith.science/api/pith-number/LC5NWLNG2DT34CI7MEUSIRPMG3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LC5NWLNG2DT34CI7MEUSIRPMG3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LC5NWLNG2DT34CI7MEUSIRPMG3/action/storage_attestation","attest_author":"https://pith.science/pith/LC5NWLNG2DT34CI7MEUSIRPMG3/action/author_attestation","sign_citation":"https://pith.science/pith/LC5NWLNG2DT34CI7MEUSIRPMG3/action/citation_signature","submit_replication":"https://pith.science/pith/LC5NWLNG2DT34CI7MEUSIRPMG3/action/replication_record"}},"created_at":"2026-06-12T01:09:03.289132+00:00","updated_at":"2026-06-12T01:09:03.289132+00:00"}