Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2016913281', 'doi': 'https://doi.org/10.1097/ede.0b013e31826d0741', 'title': 'Comparing Bounds for Vaccine Effects on Infectiousness', 'display_name': 'Comparing Bounds for Vaccine Effects on Infectiousness', 'publication_year': 2012, 'publication_date': '2012-10-04', 'ids': {'openalex': 'https://openalex.org/W2016913281', 'doi': 'https://doi.org/10.1097/ede.0b013e31826d0741', 'mag': '2016913281', 'pmid': 'https://pubmed.ncbi.nlm.nih.gov/23038122', 'pmcid': 'https://www.ncbi.nlm.nih.gov/pmc/articles/3482261'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1097/ede.0b013e31826d0741', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S15470582', 'display_name': 'Epidemiology', 'issn_l': '1044-3983', 'issn': ['1044-3983', '1531-5487'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315671', 'host_organization_name': 'Lippincott Williams & Wilkins', 'host_organization_lineage': ['https://openalex.org/P4310315671', 'https://openalex.org/P4310318547'], 'host_organization_lineage_names': ['Lippincott Williams & Wilkins', 'Wolters Kluwer'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'letter', 'type_crossref': 'journal-article', 'indexed_in': ['crossref', 'pubmed'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://doi.org/10.1097/ede.0b013e31826d0741', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5009012039', 'display_name': 'M. Elizabeth Halloran', 'orcid': 'https://orcid.org/0000-0002-3127-1757'}, 'institutions': [{'id': 'https://openalex.org/I201448701', 'display_name': 'University of Washington', 'ror': 'https://ror.org/00cvxb145', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I201448701']}, {'id': 'https://openalex.org/I114027177', 'display_name': 'University of North Carolina at Chapel Hill', 'ror': 'https://ror.org/0130frc33', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I114027177']}, {'id': 'https://openalex.org/I4210089486', 'display_name': 'Fred Hutch Cancer Center', 'ror': 'https://ror.org/007ps6h72', 'country_code': 'US', 'type': 'nonprofit', 'lineage': ['https://openalex.org/I4210089486']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'M. Elizabeth Halloran', 'raw_affiliation_strings': ['Department of Biostatistics, University of North Carolina at Chapel Hill, North Carolina', 'Supplemental digital content is available through direct URL citations in the HTML and PDF versions of this article (www.epidem.com).', 'Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center and Department of Biostatistics, University of Washington, Seattle WA, [email\xa0protected]'], 'affiliations': [{'raw_affiliation_string': 'Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center and Department of Biostatistics, University of Washington, Seattle WA, [email\xa0protected]', 'institution_ids': ['https://openalex.org/I201448701', 'https://openalex.org/I4210089486']}, {'raw_affiliation_string': 'Supplemental digital content is available through direct URL citations in the HTML and PDF versions of this article (www.epidem.com).', 'institution_ids': []}, {'raw_affiliation_string': 'Department of Biostatistics, University of North Carolina at Chapel Hill, North Carolina', 'institution_ids': ['https://openalex.org/I114027177']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5078111251', 'display_name': 'Michael G. Hudgens', 'orcid': 'https://orcid.org/0000-0002-9106-4194'}, 'institutions': [{'id': 'https://openalex.org/I201448701', 'display_name': 'University of Washington', 'ror': 'https://ror.org/00cvxb145', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I201448701']}, {'id': 'https://openalex.org/I114027177', 'display_name': 'University of North Carolina at Chapel Hill', 'ror': 'https://ror.org/0130frc33', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I114027177']}, {'id': 'https://openalex.org/I4210089486', 'display_name': 'Fred Hutch Cancer Center', 'ror': 'https://ror.org/007ps6h72', 'country_code': 'US', 'type': 'nonprofit', 'lineage': ['https://openalex.org/I4210089486']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Michael G. Hudgens', 'raw_affiliation_strings': ['Department of Biostatistics, University of North Carolina at Chapel Hill, North Carolina', 'Supplemental digital content is available through direct URL citations in the HTML and PDF versions of this article (www.epidem.com).', 'Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center and Department of Biostatistics, University of Washington, Seattle WA, [email\xa0protected]'], 'affiliations': [{'raw_affiliation_string': 'Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center and Department of Biostatistics, University of Washington, Seattle WA, [email\xa0protected]', 'institution_ids': ['https://openalex.org/I201448701', 'https://openalex.org/I4210089486']}, {'raw_affiliation_string': 'Supplemental digital content is available through direct URL citations in the HTML and PDF versions of this article (www.epidem.com).', 'institution_ids': []}, {'raw_affiliation_string': 'Department of Biostatistics, University of North Carolina at Chapel Hill, North Carolina', 'institution_ids': ['https://openalex.org/I114027177']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.315789, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 72, 'max': 75}, 'biblio': {'volume': '23', 'issue': '6', 'first_page': '931', 'last_page': '932'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10845', 'display_name': 'Advanced Causal Inference Techniques', 'score': 0.9957, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10845', 'display_name': 'Advanced Causal Inference Techniques', 'score': 0.9957, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10833', 'display_name': 'Vaccine Coverage and Hesitancy', 'score': 0.9927, 'subfield': {'id': 'https://openalex.org/subfields/3306', 'display_name': 'Health'}, 'field': {'id': 'https://openalex.org/fields/33', 'display_name': 'Social Sciences'}, 'domain': {'id': 'https://openalex.org/domains/2', 'display_name': 'Social Sciences'}}, {'id': 'https://openalex.org/T10118', 'display_name': 'SARS-CoV-2 and COVID-19 Research', 'score': 0.9912, 'subfield': {'id': 'https://openalex.org/subfields/2725', 'display_name': 'Infectious Diseases'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/random-assignment', 'display_name': 'Random assignment', 'score': 0.6062232}], 'concepts': [{'id': 'https://openalex.org/C129410224', 'wikidata': 'https://www.wikidata.org/wiki/Q7291958', 'display_name': 'Random assignment', 'level': 2, 'score': 0.6062232}, {'id': 'https://openalex.org/C168563851', 'wikidata': 'https://www.wikidata.org/wiki/Q1436668', 'display_name': 'Randomized controlled trial', 'level': 2, 'score': 0.42832142}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.38600463}, {'id': 'https://openalex.org/C149923435', 'wikidata': 'https://www.wikidata.org/wiki/Q37732', 'display_name': 'Demography', 'level': 1, 'score': 0.3693644}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.36704296}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.32443017}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.29123634}, {'id': 'https://openalex.org/C144024400', 'wikidata': 'https://www.wikidata.org/wiki/Q21201', 'display_name': 'Sociology', 'level': 0, 'score': 0.13049245}, {'id': 'https://openalex.org/C126322002', 'wikidata': 'https://www.wikidata.org/wiki/Q11180', 'display_name': 'Internal medicine', 'level': 1, 'score': 0.10604724}], 'mesh': [{'descriptor_ui': 'D016032', 'descriptor_name': 'Randomized Controlled Trials as Topic', 'qualifier_ui': 'Q000706', 'qualifier_name': 'statistics & numerical data', 'is_major_topic': True}, {'descriptor_ui': 'D014611', 'descriptor_name': 'Vaccination', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': True}, {'descriptor_ui': 'D014612', 'descriptor_name': 'Vaccines', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': True}, {'descriptor_ui': 'D006801', 'descriptor_name': 'Humans', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': False}, {'descriptor_ui': 'D016032', 'descriptor_name': 'Randomized Controlled Trials as Topic', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': False}], 'locations_count': 5, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1097/ede.0b013e31826d0741', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S15470582', 'display_name': 'Epidemiology', 'issn_l': '1044-3983', 'issn': ['1044-3983', '1531-5487'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315671', 'host_organization_name': 'Lippincott Williams & Wilkins', 'host_organization_lineage': ['https://openalex.org/P4310315671', 'https://openalex.org/P4310318547'], 'host_organization_lineage_names': ['Lippincott Williams & Wilkins', 'Wolters Kluwer'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://journals.lww.com/epidem/Fulltext/2012/11000/Comparing_Bounds_for_Vaccine_Effects_on.31.aspx', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://europepmc.org/articles/pmc3482261', 'pdf_url': 'https://europepmc.org/articles/pmc3482261?pdf=render', 'source': {'id': 'https://openalex.org/S4306400806', 'display_name': 'Europe PMC (PubMed Central)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1303153112', 'host_organization_name': 'European Bioinformatics Institute', 'host_organization_lineage': ['https://openalex.org/I1303153112'], 'host_organization_lineage_names': ['European Bioinformatics Institute'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'acceptedVersion', 'is_accepted': True, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3482261', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764455111', 'display_name': 'PubMed Central', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1299303238', 'host_organization_name': 'National Institutes of Health', 'host_organization_lineage': ['https://openalex.org/I1299303238'], 'host_organization_lineage_names': ['National Institutes of Health'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'acceptedVersion', 'is_accepted': True, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://pubmed.ncbi.nlm.nih.gov/23038122', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306525036', 'display_name': 'PubMed', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1299303238', 'host_organization_name': 'National Institutes of Health', 'host_organization_lineage': ['https://openalex.org/I1299303238'], 'host_organization_lineage_names': ['National Institutes of Health'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1097/ede.0b013e31826d0741', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S15470582', 'display_name': 'Epidemiology', 'issn_l': '1044-3983', 'issn': ['1044-3983', '1531-5487'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315671', 'host_organization_name': 'Lippincott Williams & Wilkins', 'host_organization_lineage': ['https://openalex.org/P4310315671', 'https://openalex.org/P4310318547'], 'host_organization_lineage_names': ['Lippincott Williams & Wilkins', 'Wolters Kluwer'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [{'display_name': 'Good health and well-being', 'score': 0.69, 'id': 'https://metadata.un.org/sdg/3'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 2, 'referenced_works': ['https://openalex.org/W1970927267', 'https://openalex.org/W2142961068'], 'related_works': ['https://openalex.org/W984796239', 'https://openalex.org/W4245490552', 'https://openalex.org/W4225152035', 'https://openalex.org/W3002753104', 'https://openalex.org/W2214354900', 'https://openalex.org/W2077600819', 'https://openalex.org/W2061531152', 'https://openalex.org/W2007980826', 'https://openalex.org/W2007116927', 'https://openalex.org/W1979597421'], 'abstract_inverted_index': {'To': [0], 'the': [1, 71, 90, 100, 113, 180, 184, 260, 296, 309, 314, 337, 354, 359, 371, 382, 385, 403, 414, 424, 429, 452, 459, 468, 487, 493, 502, 601, 604, 609, 611, 630, 643, 658, 678, 684, 694, 704, 713], 'Editor:': [2], 'Halloran': [3, 720], 'and': [4, 6, 8, 13, 55, 78, 142, 161, 242, 343, 370, 397, 489, 532, 539, 558, 646, 661, 673, 710, 722, 731], 'Hudgens1': [5], 'VanderWeele': [7], 'Tchetgen': [9], 'Tchetgen2': [10], '(henceforth': [11], 'HH': [12, 321, 415, 490, 569, 602], 'VT)': [14], 'consider': [15], 'inference': [16], 'about': [17, 628, 683], 'causal': [18, 256, 291, 469], 'vaccine': [19, 54, 107, 135, 138, 174, 188, 199, 220, 271, 310, 342, 515, 612, 631, 685], 'effects': [20], 'for': [21, 75, 94, 467], 'infectiousness.': [22, 580, 596, 636], 'The': [23, 172, 255, 280, 472, 483, 513, 568, 581, 619], 'two': [24, 41, 101, 508], 'articles': [25], 'make': [26, 423, 676], 'assumptions': [27, 207, 648], 'that': [28, 214, 227, 302, 316, 400, 427, 575], 'result': [29], 'in': [30, 50, 97, 103, 259, 402, 428, 510, 598, 615, 671, 703], 'different': [31, 620, 625], 'bounds.': [32, 651], 'Assume': [33, 126], 'a': [34, 667], 'random': [35], 'sample': [36], 'of': [37, 84, 116, 209, 262, 345, 388, 431, 438, 504, 733, 736, 746, 749], 'N': [38], 'households': [39, 213, 226, 263, 389, 506], 'with': [40, 507, 666, 696], 'individuals.': [42], 'Let': [43, 66, 87, 110, 150, 232], 'Zij': [44], '=': [45, 59, 64, 68, 124, 152, 156, 159, 163, 167, 170, 234, 240, 244, 250, 253, 276, 348, 379, 522, 526, 530, 534, 538, 546, 552, 556, 562, 566, 587], '1': [46, 130, 266, 318, 349, 392], 'if': [47, 99, 364, 367], 'individual': [48, 95, 129, 186, 265, 317, 391], 'j': [49, 63, 96, 347], 'household': [51, 76, 98, 104], 'i': [52, 58, 105], 'receives': [53], '0': [56, 190, 565], 'otherwise': [57], '1,': [60, 157, 351], '…,': [61], 'N,': [62], '1,2.': [65], 'Zi': [67], '(Zi1,Zi2)': [69], 'denote': [70, 81, 89], 'treatment': [72], 'assignment': [73, 139], 'vector': [74], 'i,': [77], 'zi,': [79], 'zij': [80], 'possible': [82], 'values': [83], 'Zi,': [85], 'Zij.': [86], 'Yij(zi1,zi2)': [88], 'potential': [91, 339], 'infection': [92], 'outcome': [93], 'individuals': [102, 433, 447, 509], 'have': [106], 'status': [108, 189], '(zi1,zi2).': [109], 'Yijobs': [111, 123], 'be': [112, 132, 223, 305, 664], 'observed': [114, 181, 383], 'value': [115], 'Yij': [117], 'under': [118, 230, 341], 'an': [119, 464, 687], 'actual': [120], 'assignment,': [121], 'i.e.,': [122, 212], 'Yij(Zi).': [125], 'throughout': [127], 'only': [128], 'can': [131, 304, 663], 'assigned': [133], 'to': [134, 203, 219, 225, 285, 395, 600, 608, 624, 640, 675, 680], 'or': [136, 272, 480, 633], 'control,': [137], 'is': [140, 144, 191, 201, 274, 282, 293, 393, 401, 407, 463, 476, 492, 499, 519, 572, 585, 613], 'randomized,': [141], 'there': [143, 330], 'no': [145], 'interference': [146], 'across': [147], 'transmission': [148], 'units.': [149], 'p1': [151, 194, 378], 'E[Yi2obs': [153, 164], '|': [154, 165, 237, 247], 'Zi1': [155, 166], 'Yi1obs': [158, 169], '1]': [160, 241], 'p0': [162, 529], '0,': [168], '1].': [171, 254], 'net': [173, 198, 460, 473, 514], 'effect': [175, 200, 292, 516, 688], 'on': [176, 179, 324, 336, 418, 495, 517, 655, 689, 692, 712], 'infectiousness': [177, 518, 690], 'based': [178, 335], 'data': [182, 298, 695], 'when': [183, 217, 649], 'exposed': [185], 'has': [187], 'RDInet': [192, 520], '(0)=': [193], '−': [195, 278, 524, 542, 544, 554, 564], 'p0.': [196], 'This': [197], 'difficult': [202], 'interpret': [204], 'without': [205], 'additional': [206, 425], 'because': [208], 'selection': [210, 286, 647], 'bias,': [211], 'become': [215, 228, 435], 'infected': [216, 229, 268, 363, 366, 399, 436], 'randomized': [218, 394], 'might': [221, 577], 'not': [222, 283, 294, 312, 368, 410], 'comparable': [224], 'control.': [231], 'pv': [233], 'E[Yi2': [235, 245], '(1,0)': [236, 249], 'Yi1': [238, 248, 251], '(0,0)': [239, 246, 252], 'pu': [243], 'risk': [257, 315, 461, 470, 474], 'difference': [258, 462, 475, 485], 'stratum': [261, 356, 361, 373, 406], 'where': [264, 390], 'becomes': [267, 319, 398], 'whether': [269, 439, 629], 'receiving': [270], 'control': [273, 344, 396], 'CRDI(0)': [275, 281, 325, 417], 'ρv': [277], 'pu.': [279], 'subject': [284], 'bias.': [287], 'Even': [288], 'though': [289], 'this': [290, 455, 496], 'identifiable,': [295, 408], 'observable': [297], 'provide': [299], 'information': [300], 'such': [301], 'bounds': [303, 323, 416, 491, 621, 659], 'estimated.': [306], 'Monotonicity': [307], 'assumes': [308], 'does': [311], 'increase': [313], 'infected.': [320], 'develop': [322], 'assuming': [326], 'monotonicity.': [327], 'Under': [328, 376, 454], 'monotonicity,': [329, 377], 'are': [331, 419, 441, 443, 449, 702], 'three': [332], 'principal': [333, 405], 'strata': [334], 'joint': [338], 'outcomes': [340], 'person': [346], '(eTable': [350], 'https://links.lww.com/EDE/A614),': [352], 'namely': [353], 'immune': [355], '(never': [357], 'infected),': [358], 'protected': [360, 450], '(not': [362], 'vaccinated,': [365], 'vaccinated),': [369], 'doomed': [372, 404], '(always': [374], 'infected).': [375], 'pv.': [380], 'Given': [381], 'data,': [384], 'proportion': [386], 'p': [387], 'just': [409], 'which': [411, 498, 681], 'ones.': [412], 'Thus': [413, 548], 'In': [420], 'contrast,': [421], 'VT': [422, 457, 488, 582, 605], 'assumption': [426], 'absence': [430], 'vaccination,': [432], 'who': [434, 448], 'regardless': [437], 'they': [440], 'vaccinated': [442], 'more': [444], 'infectious': [445], 'than': [446, 479, 653], 'by': [451], 'vaccine.': [453], 'assumption,': [456, 497], 'show': [458], 'upper': [465, 570, 583], 'bound': [466, 571, 584, 606], 'difference.': [471], 'always': [477], 'less': [478], 'equal': [481], '(2).': [482], 'main': [484], 'between': [486], 'reliance': [494], 'untestable.': [500], 'Consider': [501], 'study': [503], '3000': [505], 'Table': [511], '1.': [512], '(0)': [521, 551, 561], '0.2': [523, 553, 563], '0.4': [525, 531], '−0.2.': [527, 567], 'Because': [528], 'ρ': [533], '0.5,': [535], '{1,': [536], 'p0/ρ}': [537], 'max': [540], '{0,(p0': [541], '(1': [543], 'ρ))/ρ}': [545], '0.': [547], 'CRDIHH,': [549, 559], 'low': [550], '0.8': [555], '−0.6': [557], 'up': [560], 'positive,': [573], 'allowing': [574], 'vaccination': [576, 594], 'actually': [578], 'enhance': [579], 'RDInet(0)': [586], '−0.2,': [588], 'indicating': [589], 'that,': [590], 'ignoring': [591], 'statistical': [592], 'variability,': [593], 'decreases': [595], 'Thus,': [597, 637], 'contrast': [599], 'bounds,': [603], 'leads': [607], 'conclusion': [610], 'beneficial': [614], 'reducing': [616], 'secondary': [617], 'transmissions.': [618], 'could': [622], 'lead': [623], 'qualitative': [626], 'conclusions': [627, 682], 'decreases,': [632], 'possibly': [634], 'increases,': [635], 'one': [638], 'needs': [639], 'examine': [641], 'critically': [642], 'underlying': [644], 'biological': [645], 'determining': [650], 'Rather': [652], 'relying': [654], 'untestable': [656], 'assumptions,': [657], '(1)': [660], '(2)': [662], 'combined': [665], 'sensitivity': [668], 'analysis': [669], '(as': [670], 'Hudgens': [672, 744], 'Halloran)3': [674], 'clear': [677], 'degree': [679], 'having': [686], 'depend': [691], 'merging': [693], 'strong': [697], 'prior': [698], 'beliefs.': [699], 'Further': [700], 'details': [701], 'Online': [705], 'Supporting': [706], 'Material.TABLE': [707], '1:': [708], 'Identifiability': [709], 'Bounds': [711], 'Causal': [714], 'Risk': [715], 'Difference': [716], 'CRD': [717], 'I(0)M.': [718], 'Elizabeth': [719], 'Vaccine': [721], 'Infectious': [723], 'Disease': [724], 'Division': [725], 'Fred': [726], 'Hutchinson': [727], 'Cancer': [728], 'Research': [729], 'Center': [730], 'Department': [732, 745], 'Biostatistics': [734, 747], 'University': [735, 748], 'Washington': [737], 'Seattle': [738], 'WA': [739], '[email': [740], 'protected]': [741], 'Michael': [742], 'G.': [743], 'North': [750, 755], 'Carolina': [751, 756], 'at': [752], 'Chapel': [753], 'Hill': [754]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2016913281', 'counts_by_year': [{'year': 2016, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 1}], 'updated_date': '2024-12-11T01:20:44.614913', 'created_date': '2016-06-24'}