Paper Citation Record · LEDGER

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests

As of 6 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2605.03886.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2605.03886 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T17:55:57.444042Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T22:24:23.698812Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact2
verified fuzzy36
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 13e5056b-3bbf-4a55-9504-636693e831a3 · outbound

This paper cites Biometrika , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Biometrika , volume=

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.344347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation b87754b4-4f13-4b6f-b2ef-58b3ba1d4609 · outbound

This paper cites The Annals of Mathematical Statistics , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests The Annals of Mathematical Statistics , volume=

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.332933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation eecf4f23-4fd3-4452-b93f-9397c5fc9f0e · outbound

This paper cites an unresolved cited work.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-26T06:21:49.329309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 1167f7b7-e1ed-4307-9d12-a9f2d57f9f15 · outbound

This paper cites Barnard's Monte Carlo tests: how many simulations?.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Barnard's Monte Carlo tests: how many simulations?

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.325538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation faac880e-a11b-4973-a998-902b9c1be67e · outbound

This paper cites On the number of replications in resampling tests and Monte Carlo simulation studies.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests On the number of replications in resampling tests and Monte Carlo simulation studies

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.348185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation c1e4bcc9-708d-415b-ab30-eabe5f39bdde · outbound

This paper cites Statistical Science , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Statistical Science , volume=

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.340726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f44e0178-4df6-4119-977b-280ea43bcc53 · outbound

This paper cites Sequential implementation of Monte Carlo tests with uniformly bounded resampling risk.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Sequential implementation of Monte Carlo tests with uniformly bounded resampling risk

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.336988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f3a1bba0-d6eb-4271-8d53-61ebc104e68b · outbound

This paper cites The Annals of Mathematical Statistics , year =.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests The Annals of Mathematical Statistics , year =

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.448474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f357bd15-2921-4ef5-9e7a-09ea04ea1ae9 · outbound

This paper cites title = ".

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests title = "

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.351954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation c895971f-4482-4774-bea8-07997532bb35 · outbound

This paper cites Bootstrap tests: How many bootstraps?.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Bootstrap tests: How many bootstraps?

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.436935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation d494f472-c865-48f7-8027-8698e04b009d · outbound

This paper cites Consistency of permutation tests of independence using distance covariance, HSIC and dHSIC.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Consistency of permutation tests of independence using distance covariance, HSIC and dHSIC

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.444749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation e0a79479-c12f-4101-acbf-e05f652ee78d · outbound

This paper cites Journal of the Royal Statistical Society: Series B (Statistical Methodology) , year =.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Journal of the Royal Statistical Society: Series B (Statistical Methodology) , year =

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.440932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 71c91409-28ac-4364-874a-8d38d69299aa · outbound

This paper cites The American Statistician , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests The American Statistician , volume=

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.452235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 94c7bd90-07bd-4483-a2a0-0eeb63d775d7 · outbound

This paper cites Finite sample properties and asymptotic efficiency of Monte Carlo tests.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Finite sample properties and asymptotic efficiency of Monte Carlo tests

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.468349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 466d1746-8386-4c1f-be48-1fab73a3fddd · outbound

This paper cites A Remark on Stirling's Formula.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests A Remark on Stirling's Formula

Reference 15

Resolution: verified exact; doi, observed 2026-05-08T17:58:53.593424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 012198ad-e7aa-46a1-adf6-53b27178cd52 · outbound

This paper cites Test , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Test , volume=

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.425906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 02604e02-d439-4a01-9702-077fbcc30cce · outbound

This paper cites A simplified Monte Carlo significance test procedure.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests A simplified Monte Carlo significance test procedure

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.355578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation aaa16db5-5a3c-4734-b626-bb0c293d699d · outbound

This paper cites 2005 , publisher=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests 2005 , publisher=

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.417446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 0e189367-618e-4a24-907b-4d868eba8ad0 · outbound

This paper cites The journal of machine learning research , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests The journal of machine learning research , volume=

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.422032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 8c647538-2b0b-47c0-b56d-4fe45802cbb4 · outbound

This paper cites Biometrika , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Biometrika , volume=

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.429430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 6ccceddb-ad84-488c-8f10-ed1864b69fd8 · outbound

This paper cites Sankhya A , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Sankhya A , volume=

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.400402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 2bc4a537-9182-437e-aec9-f68d9e899276 · outbound

This paper cites Biometrics , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Biometrics , volume=

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.433016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a698d6e7-4abc-48b0-ab98-66b5d06f3625 · outbound

This paper cites Human brain mapping , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Human brain mapping , volume=

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.407983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 5af3718d-108b-483b-8004-72c11be7a89e · outbound

This paper cites Permutation and parametric tests for effect sizes in voxel-based morphometry of gray matter volume in brain structural MRI.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Permutation and parametric tests for effect sizes in voxel-based morphometry of gray matter volume in brain structural MRI

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.392779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation e237b348-618f-46fb-bcc6-4bd9d4eb568b · outbound

This paper cites Bioinformatics , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Bioinformatics , volume=

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.384667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 8263cab2-1968-4d61-aff8-1eb5a9fe2ad4 · outbound

This paper cites an unresolved cited work.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-05-26T06:21:49.370650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 12b2359f-f064-4226-96ff-bd866db68bec · outbound

This paper cites Annals of Statistics , year =.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Annals of Statistics , year =

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.388527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 848b5f15-143a-4571-9de8-a61c56b69ec3 · outbound

This paper cites title = ".

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests title = "

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.396458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation d33f6521-d628-4564-b7bc-42254a082508 · outbound

This paper cites Measuring statistical dependence with.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Measuring statistical dependence with

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.404302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 3125a2f2-f558-4aeb-a2b4-6b44f8570286 · outbound

This paper cites InterStat , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests InterStat , volume=

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.380502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 714c4876-0b18-4237-aadf-8681e0c37be3 · outbound

This paper cites Communications in Statistics---Simulation and Computation , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Communications in Statistics---Simulation and Computation , volume=

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.375567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation b910bcab-7c90-43df-8ce9-099207768a29 · outbound

This paper cites The American Statistician , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests The American Statistician , volume=

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.413195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 98482e1d-a2de-4011-b483-ec576083c0e3 · outbound

This paper cites Biometrika , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Biometrika , volume=

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.460175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 9547571f-908b-46f1-b125-cdfa8be9576f · outbound

This paper cites Computational Statistics , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Computational Statistics , volume=

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.362832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 77519e9f-e989-41b7-8c06-b1b6ba27f76a · outbound

This paper cites Monte Carlo tests with nuisance parameters: A general approach to finite-sample inference and nonstandard asymptotics.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Monte Carlo tests with nuisance parameters: A general approach to finite-sample inference and nonstandard asymptotics

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.359296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 046037d5-ef8a-47e5-a3d9-1e352369e9b9 · outbound

This paper cites Randomization Inference: Theory and Applications.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests Randomization Inference: Theory and Applications

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:55:45.493676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a53bd0a6-647f-4c6d-836b-8c59ad158bec · outbound

This paper cites A Review of Multivariate Permutation Tests: Findings and Trends , journal =.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests A Review of Multivariate Permutation Tests: Findings and Trends , journal =

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.456489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation c03df804-987e-4712-a594-6b23d46c0707 · outbound

This paper cites title =.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests title =

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.366707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 4399ca9a-8209-44b4-96af-d7d42369edcb · outbound

This paper cites 2009 , publisher=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests 2009 , publisher=

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.464148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation bac17fcd-99f8-45f8-a4a1-be0a8aea7399 · outbound

This paper cites The Annals of Mathematical Statistics , volume=.

More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests The Annals of Mathematical Statistics , volume=

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T06:21:49.471956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

Observation 99a7d02e-137b-4b9d-a7ba-63eca1d03e94 · inbound

Aggregation of Statistical Evidence under Exchangeability cites this paper.

Aggregation of Statistical Evidence under Exchangeability More Permutations Do Not Always Increase Power: Non-monotonicity in Monte Carlo Permutation Tests

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T22:24:23.698812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.