{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QDZWTDN743K53PO5QPIP5IMTHX","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":"125aa02f85fba5be24709683d9d0b0b3ec163573c84f45c625b47451c3046322","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-07-29T01:54:51Z","title_canon_sha256":"0a5ae2fbf4ac5f14ff67c41a8d329b4ca85d193134b314a427592fc6ecfaf94d"},"schema_version":"1.0","source":{"id":"1407.7614","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7614","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7614v1","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7614","created_at":"2026-05-18T02:46:22Z"},{"alias_kind":"pith_short_12","alias_value":"QDZWTDN743K5","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"QDZWTDN743K53PO5","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"QDZWTDN7","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:972a6780fca306fdfccf9fd9be7085c425b63bc0470ab186d97ac9b41539b83c","target":"graph","created_at":"2026-05-18T02:46:22Z","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":"PCA is often used to visualize data when the rows and the columns are both of interest. In such a setting there is a lack of inferential methods on the PCA output. We study the asymptotic variance of a fixed-effects model for PCA, and propose several approaches to assessing the variability of PCA estimates: a method based on a parametric bootstrap, a new cell-wise jackknife, as well as a computationally cheaper approximation to the jackknife. We visualize the confidence regions by Procrustes rotation. Using a simulation study, we compare the proposed methods and highlight the strengths and dra","authors_text":"Fran\\c{c}ois Husson, Julie Josse, Stefan Wager","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-07-29T01:54:51Z","title":"Confidence Areas for Fixed-Effects PCA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7614","kind":"arxiv","version":1},"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":"sha256:220f5a8a681abe6a493aabee0993e3cb790654151286ba320b619bc787f3a1e6","target":"record","created_at":"2026-05-18T02:46:22Z","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":"125aa02f85fba5be24709683d9d0b0b3ec163573c84f45c625b47451c3046322","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-07-29T01:54:51Z","title_canon_sha256":"0a5ae2fbf4ac5f14ff67c41a8d329b4ca85d193134b314a427592fc6ecfaf94d"},"schema_version":"1.0","source":{"id":"1407.7614","kind":"arxiv","version":1}},"canonical_sha256":"80f3698dbfe6d5ddbddd83d0fea1933ddc6d70030b94593af1d80652c10e9e5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80f3698dbfe6d5ddbddd83d0fea1933ddc6d70030b94593af1d80652c10e9e5c","first_computed_at":"2026-05-18T02:46:22.210121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:22.210121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VtJXQaD9bdXzmpRjy8hYbxRDX3paJqDCCbwb+uSK6XvbYLcyTh2wlu3qNEjwtZm0WHJqDMJ0goPvk5U6G+52Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:22.210740Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7614","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:220f5a8a681abe6a493aabee0993e3cb790654151286ba320b619bc787f3a1e6","sha256:972a6780fca306fdfccf9fd9be7085c425b63bc0470ab186d97ac9b41539b83c"],"state_sha256":"e865e14c07736e8e68a297d75e58133fe782cf3121e59c4b4fd7654b883f6ed5"}