Pith. Sign in

RECORD

Application of Conditioning to the Gaussian-with-Boundary Problem in the Unified Approach to Confidence Intervals

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Robert D. Cousins

Data Analysis, Statistics and Probability · Submitted 15 Jan 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that the lower curve on the confidence belt is also moved significantly, in an undesirable manner.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDphysics/0001031 (version 1)
Pith IDBNKGYDPX, Pith's permanent record of this paper and its review
CitationRobert D. Cousins. "Application of Conditioning to the Gaussian-with-Boundary Problem in the Unified Approach to Confidence Intervals." arXiv:physics/0001031 (2000). https://pith.science/paper/BNKGYDPX
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,196 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.91 · human participants 0.02 · controlled comparison 0.17 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.92 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Roe and Woodroofe (RW) have suggested that certain conditional probabilities be incorporated into the ``unified approach'' for constructing confidence intervals, previously described by Feldman and Cousins (FC). RW illustrated this conditioning technique using one of the two prototype problems in the FC paper, that of Poisson processes with background. The main effect was on the upper curve in the confidence belt. In this paper, we attempt to apply this style of conditioning to the other prototype problem, that of Gaussian errors with a bounded physical region. We find that the lower curve on the confidence belt is also moved significantly, in an undesirable manner.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Roe and Woodroofe (RW) have suggested that certain conditional probabilities be incorporated into the ``unified approach'' for constructing confidence intervals, previously described by Feldman and Cousins (FC). background 1.00 0.03 0.02 asserted 0.80
s1 RW illustrated this conditioning technique using one of the two prototype problems in the FC paper, that of Poisson processes with background. background 1.00 0.04 0.02 asserted 1.00
s2 The main effect was on the upper curve in the confidence belt. result 0.68 0.07 0.04 asserted 1.00
s3 In this paper, we attempt to apply this style of conditioning to the other prototype problem, that of Gaussian errors with a bounded physical region. contribution 0.99 0.72 0.05 asserted 0.57
s4 We find that the lower curve on the confidence belt is also moved significantly, in an undesirable manner. result 0.98 0.96 0.82 asserted 1.00

What kind of paper the classifier reports this is: position or commentary 0.48 · evidence from proof or derivation 0.63.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Roe and Woodroofe (RW) have suggested that certain conditional probabilities be incorporated into the ``unified approach'' for constructing confidence intervals, previously described by Feldman and Cousins (FC). RW illustrated this conditioning technique using one of the two prototype problems in the FC paper, that of Poisson processes with background. The main effect was on the upper curve in the confidence belt. In this paper, we attempt to apply this style of conditioning to the other prototype problem, that of Gaussian errors with a bounded physical region. We find that the lower curve on the confidence belt is also moved significantly, in an undesirable manner.

Human review

How Pith checks papers → · Full audit of this paper →

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.