Pith Number

pith:JGJSSF5Q

pith:2026:JGJSSF5Q3SFFKYBKSLMD3O36YY

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Predictive Power Analysis of Multiple Test Procedures Under Arbitrary Dependence

George Karabatsos

A new Bayesian method performs predictive power analysis for multiple testing procedures under arbitrary p-value dependencies.

arxiv:2603.07312 v3 · 2026-03-07 · stat.ME

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\pithnumber{JGJSSF5Q3SFFKYBKSLMD3O36YY}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

This study introduces a new and congenial method for Bayesian predictive power analysis, for power calculation and sample size determination for any given planned future (e.g., replication or interim) study, based on a joint prior distribution defining a scale matrix mixture of asymmetric multivariate normal mean-variance mixture distributions, factorized as a general prior distribution for effect sizes and a uniform prior distribution for correlation matrices.

C2weakest assumption

The method assumes that the chosen joint prior (scale matrix mixture of asymmetric multivariate normals) and uniform prior on correlation matrices adequately represent arbitrary dependencies and effect sizes from expert judgment or prior studies, without explicit validation of these priors in the abstract.

C3one line summary

Introduces a Bayesian predictive power analysis for multiple testing procedures under arbitrary dependence, using scale matrix mixtures of asymmetric multivariate normals and a Dirichlet process prior.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-21T01:04:24.168862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49932917b0dc8a55602a92d83dbb7ec623198334fe56b481faa33fb99f923913

Aliases

arxiv: 2603.07312 · arxiv_version: 2603.07312v3 · doi: 10.48550/arxiv.2603.07312 · pith_short_12: JGJSSF5Q3SFF · pith_short_16: JGJSSF5Q3SFFKYBK · pith_short_8: JGJSSF5Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JGJSSF5Q3SFFKYBKSLMD3O36YY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 49932917b0dc8a55602a92d83dbb7ec623198334fe56b481faa33fb99f923913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f802f7d0a5a9c7dc06918c78cf366c54de4d572dc52b67be9f917f5fac29fdb2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-03-07T19:03:01Z",
    "title_canon_sha256": "e6e9c502d1789dd15d1cd991c29527d62c6eb421114d3ff519ea0aea6fbb0640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.07312",
    "kind": "arxiv",
    "version": 3
  }
}