Mediation with External Summary Statistic Information (MESSI) Article Swipe

PDF

Jonathan Boss , Wei Hao , Amber L. Cathey , Barrett M. Welch , Kelly K. Ferguson , John D. Meeker , Jian Kang , Bhramar Mukherjee ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2306.17347

Environmental health studies are increasingly measuring endogenous omics data ($\boldsymbol{M}$) to study intermediary biological pathways by which an exogenous exposure ($\boldsymbol{A}$) affects a health outcome ($\boldsymbol{Y}$), given confounders ($\boldsymbol{C}$). Mediation analysis is frequently carried out to understand such mechanisms. If intermediary pathways are of interest, then there is likely literature establishing statistical and biological significance of the total effect, defined as the effect of $\boldsymbol{A}$ on $\boldsymbol{Y}$ given $\boldsymbol{C}$. For mediation models with continuous outcomes and mediators, we show that leveraging external summary-level information on the total effect improves estimation efficiency of the natural direct and indirect effects. Moreover, the efficiency gain depends on the asymptotic partial $R^2$ between the outcome ($\boldsymbol{Y}\mid\boldsymbol{M},\boldsymbol{A},\boldsymbol{C}$) and total effect ($\boldsymbol{Y}\mid\boldsymbol{A},\boldsymbol{C}$) models, with smaller (larger) values benefiting direct (indirect) effect estimation. We robustify our estimation procedure to incongenial external information by assuming the total effect follows a random distribution. This framework allows shrinkage towards the external information if the total effects in the internal and external populations agree. We illustrate our methodology using data from the Puerto Rico Testsite for Exploring Contamination Threats, where Cytochrome p450 metabolites are hypothesized to mediate the effect of phthalate exposure on gestational age at delivery. External information on the total effect comes from a recently published pooled analysis of 16 studies. The proposed framework blends mediation analysis with emerging data integration techniques.

Related Topics

Concepts

Mediation Confounding Physics Combinatorics Statistics Mathematics Political science Law

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2306.17347
PDF: https://arxiv.org/pdf/2306.17347
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4383046438

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4383046438

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2306.17347

Digital Object Identifier
Title: Mediation with External Summary Statistic Information (MESSI)

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2023

Year of publication
Publication date: 2023-06-28

Full publication date if available
Authors: Jonathan Boss, Wei Hao, Amber L. Cathey, Barrett M. Welch, Kelly K. Ferguson, John D. Meeker, Jian Kang, Bhramar Mukherjee

List of authors in order
Landing page: https://arxiv.org/abs/2306.17347

Publisher landing page
PDF URL: https://arxiv.org/pdf/2306.17347

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://arxiv.org/pdf/2306.17347

Direct OA link when available
Concepts: Mediation, Confounding, Physics, Combinatorics, Statistics, Mathematics, Political science, Law

Top concepts (fields/topics) attached by OpenAlex
Cited by: 0

Total citation count in OpenAlex
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4383046438
doi	https://doi.org/10.48550/arxiv.2306.17347
ids.doi	https://doi.org/10.48550/arxiv.2306.17347
ids.openalex	https://openalex.org/W4383046438
fwci
type	preprint
title	Mediation with External Summary Statistic Information (MESSI)
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
topics[0].id	https://openalex.org/T10845
topics[0].field.id	https://openalex.org/fields/26
topics[0].field.display_name	Mathematics
topics[0].score	0.9678000211715698
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/2613
topics[0].subfield.display_name	Statistics and Probability
topics[0].display_name	Advanced Causal Inference Techniques
topics[1].id	https://openalex.org/T10136
topics[1].field.id	https://openalex.org/fields/26
topics[1].field.display_name	Mathematics
topics[1].score	0.9215999841690063
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/2613
topics[1].subfield.display_name	Statistics and Probability
topics[1].display_name	Statistical Methods and Inference
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C179420905
concepts[0].level	2
concepts[0].score	0.5410749316215515
concepts[0].wikidata	https://www.wikidata.org/wiki/Q223871
concepts[0].display_name	Mediation
concepts[1].id	https://openalex.org/C77350462
concepts[1].level	2
concepts[1].score	0.5305445790290833
concepts[1].wikidata	https://www.wikidata.org/wiki/Q1125472
concepts[1].display_name	Confounding
concepts[2].id	https://openalex.org/C121332964
concepts[2].level	0
concepts[2].score	0.47642239928245544
concepts[2].wikidata	https://www.wikidata.org/wiki/Q413
concepts[2].display_name	Physics
concepts[3].id	https://openalex.org/C114614502
concepts[3].level	1
concepts[3].score	0.4327374994754791
concepts[3].wikidata	https://www.wikidata.org/wiki/Q76592
concepts[3].display_name	Combinatorics
concepts[4].id	https://openalex.org/C105795698
concepts[4].level	1
concepts[4].score	0.36794227361679077
concepts[4].wikidata	https://www.wikidata.org/wiki/Q12483
concepts[4].display_name	Statistics
concepts[5].id	https://openalex.org/C33923547
concepts[5].level	0
concepts[5].score	0.36197683215141296
concepts[5].wikidata	https://www.wikidata.org/wiki/Q395
concepts[5].display_name	Mathematics
concepts[6].id	https://openalex.org/C17744445
concepts[6].level	0
concepts[6].score	0.15227940678596497
concepts[6].wikidata	https://www.wikidata.org/wiki/Q36442
concepts[6].display_name	Political science
concepts[7].id	https://openalex.org/C199539241
concepts[7].level	1
concepts[7].score	0.0
concepts[7].wikidata	https://www.wikidata.org/wiki/Q7748
concepts[7].display_name	Law
keywords[0].id	https://openalex.org/keywords/mediation
keywords[0].score	0.5410749316215515
keywords[0].display_name	Mediation
keywords[1].id	https://openalex.org/keywords/confounding
keywords[1].score	0.5305445790290833
keywords[1].display_name	Confounding
keywords[2].id	https://openalex.org/keywords/physics
keywords[2].score	0.47642239928245544
keywords[2].display_name	Physics
keywords[3].id	https://openalex.org/keywords/combinatorics
keywords[3].score	0.4327374994754791
keywords[3].display_name	Combinatorics
keywords[4].id	https://openalex.org/keywords/statistics
keywords[4].score	0.36794227361679077
keywords[4].display_name	Statistics
keywords[5].id	https://openalex.org/keywords/mathematics
keywords[5].score	0.36197683215141296
keywords[5].display_name	Mathematics
keywords[6].id	https://openalex.org/keywords/political-science
keywords[6].score	0.15227940678596497
keywords[6].display_name	Political science
language	en
locations[0].id	pmh:oai:arXiv.org:2306.17347
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4306400194
locations[0].source.issn
locations[0].source.type	repository
locations[0].source.is_oa	True
locations[0].source.issn_l
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	arXiv (Cornell University)
locations[0].source.host_organization	https://openalex.org/I205783295
locations[0].source.host_organization_name	Cornell University
locations[0].source.host_organization_lineage	https://openalex.org/I205783295
locations[0].license
locations[0].pdf_url	https://arxiv.org/pdf/2306.17347
locations[0].version	submittedVersion
locations[0].raw_type	text
locations[0].license_id
locations[0].is_accepted	False
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	http://arxiv.org/abs/2306.17347
locations[1].id	doi:10.48550/arxiv.2306.17347
locations[1].is_oa	True
locations[1].source.id	https://openalex.org/S4306400194
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	True
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	arXiv (Cornell University)
locations[1].source.host_organization	https://openalex.org/I205783295
locations[1].source.host_organization_name	Cornell University
locations[1].source.host_organization_lineage	https://openalex.org/I205783295
locations[1].license
locations[1].pdf_url
locations[1].version
locations[1].raw_type	article
locations[1].license_id
locations[1].is_accepted	False
locations[1].is_published
locations[1].raw_source_name
locations[1].landing_page_url	https://doi.org/10.48550/arxiv.2306.17347
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5087409162
authorships[0].author.orcid	https://orcid.org/0000-0001-5285-3038
authorships[0].author.display_name	Jonathan Boss
authorships[0].author_position	first
authorships[0].raw_author_name	Boss, Jonathan
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5100448248
authorships[1].author.orcid	https://orcid.org/0000-0002-5367-1479
authorships[1].author.display_name	Wei Hao
authorships[1].author_position	middle
authorships[1].raw_author_name	Hao, Wei
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5067430784
authorships[2].author.orcid	https://orcid.org/0000-0003-4562-7053
authorships[2].author.display_name	Amber L. Cathey
authorships[2].author_position	middle
authorships[2].raw_author_name	Cathey, Amber
authorships[2].is_corresponding	False
authorships[3].author.id	https://openalex.org/A5034746141
authorships[3].author.orcid	https://orcid.org/0000-0002-1304-2272
authorships[3].author.display_name	Barrett M. Welch
authorships[3].author_position	middle
authorships[3].raw_author_name	Welch, Barrett M.
authorships[3].is_corresponding	False
authorships[4].author.id	https://openalex.org/A5046177284
authorships[4].author.orcid	https://orcid.org/0000-0001-8467-3250
authorships[4].author.display_name	Kelly K. Ferguson
authorships[4].author_position	middle
authorships[4].raw_author_name	Ferguson, Kelly K.
authorships[4].is_corresponding	False
authorships[5].author.id	https://openalex.org/A5039853092
authorships[5].author.orcid	https://orcid.org/0000-0001-8357-5085
authorships[5].author.display_name	John D. Meeker
authorships[5].author_position	middle
authorships[5].raw_author_name	Meeker, John D.
authorships[5].is_corresponding	False
authorships[6].author.id	https://openalex.org/A5021432602
authorships[6].author.orcid	https://orcid.org/0000-0002-5643-2668
authorships[6].author.display_name	Jian Kang
authorships[6].author_position	middle
authorships[6].raw_author_name	Kang, Jian
authorships[6].is_corresponding	False
authorships[7].author.id	https://openalex.org/A5082251592
authorships[7].author.orcid	https://orcid.org/0000-0003-0118-4561
authorships[7].author.display_name	Bhramar Mukherjee
authorships[7].author_position	last
authorships[7].raw_author_name	Mukherjee, Bhramar
authorships[7].is_corresponding	False
has_content.pdf	False
has_content.grobid_xml	False
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://arxiv.org/pdf/2306.17347
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Mediation with External Summary Statistic Information (MESSI)
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T06:51:31.235846
primary_topic.id	https://openalex.org/T10845
primary_topic.field.id	https://openalex.org/fields/26
primary_topic.field.display_name	Mathematics
primary_topic.score	0.9678000211715698
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/2613
primary_topic.subfield.display_name	Statistics and Probability
primary_topic.display_name	Advanced Causal Inference Techniques
related_works	https://openalex.org/W4391375266, https://openalex.org/W1979597421, https://openalex.org/W2007980826, https://openalex.org/W2994176440, https://openalex.org/W2061531152, https://openalex.org/W3002753104, https://openalex.org/W2077600819, https://openalex.org/W2510575233, https://openalex.org/W2142036596, https://openalex.org/W2072657027
cited_by_count	0
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:2306.17347
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4306400194
best_oa_location.source.issn
best_oa_location.source.type	repository
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	arXiv (Cornell University)
best_oa_location.source.host_organization	https://openalex.org/I205783295
best_oa_location.source.host_organization_name	Cornell University
best_oa_location.source.host_organization_lineage	https://openalex.org/I205783295
best_oa_location.license
best_oa_location.pdf_url	https://arxiv.org/pdf/2306.17347
best_oa_location.version	submittedVersion
best_oa_location.raw_type	text
best_oa_location.license_id
best_oa_location.is_accepted	False
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	http://arxiv.org/abs/2306.17347
primary_location.id	pmh:oai:arXiv.org:2306.17347
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4306400194
primary_location.source.issn
primary_location.source.type	repository
primary_location.source.is_oa	True
primary_location.source.issn_l
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	arXiv (Cornell University)
primary_location.source.host_organization	https://openalex.org/I205783295
primary_location.source.host_organization_name	Cornell University
primary_location.source.host_organization_lineage	https://openalex.org/I205783295
primary_location.license
primary_location.pdf_url	https://arxiv.org/pdf/2306.17347
primary_location.version	submittedVersion
primary_location.raw_type	text
primary_location.license_id
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	http://arxiv.org/abs/2306.17347
publication_date	2023-06-28
publication_year	2023
referenced_works_count	0
abstract_inverted_index.a	22, 141, 204
abstract_inverted_index.16	210
abstract_inverted_index.If	39
abstract_inverted_index.We	126, 163
abstract_inverted_index.an	17
abstract_inverted_index.as	60
abstract_inverted_index.at	194
abstract_inverted_index.by	15, 135
abstract_inverted_index.if	152
abstract_inverted_index.in	156
abstract_inverted_index.is	31, 47
abstract_inverted_index.of	43, 55, 63, 91, 188, 209
abstract_inverted_index.on	65, 84, 103, 191, 198
abstract_inverted_index.to	10, 35, 131, 184
abstract_inverted_index.we	77
abstract_inverted_index.For	69
abstract_inverted_index.The	212
abstract_inverted_index.age	193
abstract_inverted_index.and	52, 75, 95, 112, 159
abstract_inverted_index.are	3, 42, 182
abstract_inverted_index.for	174
abstract_inverted_index.our	128, 165
abstract_inverted_index.out	34
abstract_inverted_index.the	56, 61, 85, 92, 99, 104, 109, 137, 149, 153, 157, 170, 186, 199
abstract_inverted_index.Rico	172
abstract_inverted_index.This	144
abstract_inverted_index.data	8, 168, 220
abstract_inverted_index.from	169, 203
abstract_inverted_index.gain	101
abstract_inverted_index.p450	180
abstract_inverted_index.show	78
abstract_inverted_index.such	37
abstract_inverted_index.that	79
abstract_inverted_index.then	45
abstract_inverted_index.with	72, 117, 218
abstract_inverted_index.$R^2$	107
abstract_inverted_index.comes	202
abstract_inverted_index.given	26, 67
abstract_inverted_index.omics	7
abstract_inverted_index.study	11
abstract_inverted_index.there	46
abstract_inverted_index.total	57, 86, 113, 138, 154, 200
abstract_inverted_index.using	167
abstract_inverted_index.where	178
abstract_inverted_index.which	16
abstract_inverted_index.Puerto	171
abstract_inverted_index.agree.	162
abstract_inverted_index.allows	146
abstract_inverted_index.blends	215
abstract_inverted_index.direct	94, 122
abstract_inverted_index.effect	62, 87, 114, 124, 139, 187, 201
abstract_inverted_index.health	1, 23
abstract_inverted_index.likely	48
abstract_inverted_index.models	71
abstract_inverted_index.pooled	207
abstract_inverted_index.random	142
abstract_inverted_index.values	120
abstract_inverted_index.affects	21
abstract_inverted_index.between	108
abstract_inverted_index.carried	33
abstract_inverted_index.defined	59
abstract_inverted_index.depends	102
abstract_inverted_index.effect,	58
abstract_inverted_index.effects	155
abstract_inverted_index.follows	140
abstract_inverted_index.mediate	185
abstract_inverted_index.models,	116
abstract_inverted_index.natural	93
abstract_inverted_index.outcome	24, 110
abstract_inverted_index.partial	106
abstract_inverted_index.smaller	118
abstract_inverted_index.studies	2
abstract_inverted_index.towards	148
abstract_inverted_index.(larger)	119
abstract_inverted_index.External	196
abstract_inverted_index.Testsite	173
abstract_inverted_index.Threats,	177
abstract_inverted_index.analysis	30, 208, 217
abstract_inverted_index.assuming	136
abstract_inverted_index.effects.	97
abstract_inverted_index.emerging	219
abstract_inverted_index.exposure	19, 190
abstract_inverted_index.external	81, 133, 150, 160
abstract_inverted_index.improves	88
abstract_inverted_index.indirect	96
abstract_inverted_index.internal	158
abstract_inverted_index.outcomes	74
abstract_inverted_index.pathways	14, 41
abstract_inverted_index.proposed	213
abstract_inverted_index.recently	205
abstract_inverted_index.studies.	211
abstract_inverted_index.Exploring	175
abstract_inverted_index.Mediation	29
abstract_inverted_index.Moreover,	98
abstract_inverted_index.delivery.	195
abstract_inverted_index.exogenous	18
abstract_inverted_index.framework	145, 214
abstract_inverted_index.interest,	44
abstract_inverted_index.measuring	5
abstract_inverted_index.mediation	70, 216
abstract_inverted_index.phthalate	189
abstract_inverted_index.procedure	130
abstract_inverted_index.published	206
abstract_inverted_index.robustify	127
abstract_inverted_index.shrinkage	147
abstract_inverted_index.(indirect)	123
abstract_inverted_index.Cytochrome	179
abstract_inverted_index.asymptotic	105
abstract_inverted_index.benefiting	121
abstract_inverted_index.biological	13, 53
abstract_inverted_index.continuous	73
abstract_inverted_index.efficiency	90, 100
abstract_inverted_index.endogenous	6
abstract_inverted_index.estimation	89, 129
abstract_inverted_index.frequently	32
abstract_inverted_index.illustrate	164
abstract_inverted_index.leveraging	80
abstract_inverted_index.literature	49
abstract_inverted_index.mediators,	76
abstract_inverted_index.understand	36
abstract_inverted_index.confounders	27
abstract_inverted_index.estimation.	125
abstract_inverted_index.gestational	192
abstract_inverted_index.incongenial	132
abstract_inverted_index.information	83, 134, 151, 197
abstract_inverted_index.integration	221
abstract_inverted_index.mechanisms.	38
abstract_inverted_index.metabolites	181
abstract_inverted_index.methodology	166
abstract_inverted_index.populations	161
abstract_inverted_index.statistical	51
abstract_inverted_index.techniques.	222
abstract_inverted_index.establishing	50
abstract_inverted_index.hypothesized	183
abstract_inverted_index.increasingly	4
abstract_inverted_index.intermediary	12, 40
abstract_inverted_index.significance	54
abstract_inverted_index.Contamination	176
abstract_inverted_index.Environmental	0
abstract_inverted_index.distribution.	143
abstract_inverted_index.summary-level	82
abstract_inverted_index.$\boldsymbol{A}$	64
abstract_inverted_index.$\boldsymbol{Y}$	66
abstract_inverted_index.$\boldsymbol{C}$.	68
abstract_inverted_index.($\boldsymbol{A}$)	20
abstract_inverted_index.($\boldsymbol{M}$)	9
abstract_inverted_index.($\boldsymbol{C}$).	28
abstract_inverted_index.($\boldsymbol{Y}$),	25
abstract_inverted_index.($\boldsymbol{Y}\mid\boldsymbol{A},\boldsymbol{C}$)	115
abstract_inverted_index.($\boldsymbol{Y}\mid\boldsymbol{M},\boldsymbol{A},\boldsymbol{C}$)	111
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	8
citation_normalized_percentile