{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:IKRNO4CVAIEGYCRJDIIZ2JM5CE","short_pith_number":"pith:IKRNO4CV","schema_version":"1.0","canonical_sha256":"42a2d7705502086c0a291a119d259d113754d5f8fa5a14b8cbaa8784f65859a4","source":{"kind":"arxiv","id":"1507.06716","version":1},"attestation_state":"computed","paper":{"title":"The generalization of Latin hypercube sampling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Jiaxin Zhang, Michael D. Shields","submitted_at":"2015-07-24T01:50:28Z","abstract_excerpt":"Latin hypercube sampling (LHS) is generalized in terms of a spectrum of stratified sampling (SS) designs referred to as partially stratified sample (PSS) designs. True SS and LHS are shown to represent the extremes of the PSS spectrum. The variance of PSS estimates is derived along with some asymptotic properties. PSS designs are shown to reduce variance associated with variable interactions, whereas LHS reduces variance associated with main effects. Challenges associated with the use of PSS designs and their limitations are discussed. To overcome these challenges, the PSS method is coupled wi"},"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":"1507.06716","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2015-07-24T01:50:28Z","cross_cats_sorted":[],"title_canon_sha256":"01da73f6775e66be50724ae065559ce37766e1d4c9aadb8b68f8ffee97ce2a2a","abstract_canon_sha256":"4f71582eaa7b6cdbfbbff0798821c5f57780d6b70a445a9ce7cb2198745f5c85"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:32.875475Z","signature_b64":"vR5j0ha1cZeh1YoO5gbbVC3kDbZJjAnoc7cekCDH20Ohl2wNWGmtRtC46ttDDhvZhrcfRi3KwMmuyQ+eATlXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42a2d7705502086c0a291a119d259d113754d5f8fa5a14b8cbaa8784f65859a4","last_reissued_at":"2026-05-18T01:24:32.874883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:32.874883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The generalization of Latin hypercube sampling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Jiaxin Zhang, Michael D. Shields","submitted_at":"2015-07-24T01:50:28Z","abstract_excerpt":"Latin hypercube sampling (LHS) is generalized in terms of a spectrum of stratified sampling (SS) designs referred to as partially stratified sample (PSS) designs. True SS and LHS are shown to represent the extremes of the PSS spectrum. The variance of PSS estimates is derived along with some asymptotic properties. PSS designs are shown to reduce variance associated with variable interactions, whereas LHS reduces variance associated with main effects. Challenges associated with the use of PSS designs and their limitations are discussed. To overcome these challenges, the PSS method is coupled wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06716","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1507.06716","created_at":"2026-05-18T01:24:32.874964+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.06716v1","created_at":"2026-05-18T01:24:32.874964+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06716","created_at":"2026-05-18T01:24:32.874964+00:00"},{"alias_kind":"pith_short_12","alias_value":"IKRNO4CVAIEG","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"IKRNO4CVAIEGYCRJ","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"IKRNO4CV","created_at":"2026-05-18T12:29:25.134429+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/IKRNO4CVAIEGYCRJDIIZ2JM5CE","json":"https://pith.science/pith/IKRNO4CVAIEGYCRJDIIZ2JM5CE.json","graph_json":"https://pith.science/api/pith-number/IKRNO4CVAIEGYCRJDIIZ2JM5CE/graph.json","events_json":"https://pith.science/api/pith-number/IKRNO4CVAIEGYCRJDIIZ2JM5CE/events.json","paper":"https://pith.science/paper/IKRNO4CV"},"agent_actions":{"view_html":"https://pith.science/pith/IKRNO4CVAIEGYCRJDIIZ2JM5CE","download_json":"https://pith.science/pith/IKRNO4CVAIEGYCRJDIIZ2JM5CE.json","view_paper":"https://pith.science/paper/IKRNO4CV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.06716&json=true","fetch_graph":"https://pith.science/api/pith-number/IKRNO4CVAIEGYCRJDIIZ2JM5CE/graph.json","fetch_events":"https://pith.science/api/pith-number/IKRNO4CVAIEGYCRJDIIZ2JM5CE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IKRNO4CVAIEGYCRJDIIZ2JM5CE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IKRNO4CVAIEGYCRJDIIZ2JM5CE/action/storage_attestation","attest_author":"https://pith.science/pith/IKRNO4CVAIEGYCRJDIIZ2JM5CE/action/author_attestation","sign_citation":"https://pith.science/pith/IKRNO4CVAIEGYCRJDIIZ2JM5CE/action/citation_signature","submit_replication":"https://pith.science/pith/IKRNO4CVAIEGYCRJDIIZ2JM5CE/action/replication_record"}},"created_at":"2026-05-18T01:24:32.874964+00:00","updated_at":"2026-05-18T01:24:32.874964+00:00"}