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Record W1606357496

REDUCED-DIMENSION CONTROL REGRESSION

2006· preprint· en· W1606357496 on OpenAlex
J. A. Galbraith, Victoria Zinde‐Walsh

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

fundA Canadian funder is recorded on the work.
no affNo Canadian affiliation: this work is invisible to an affiliation-only frame.
No Canadian affiliation. An affiliation-only frame, the usual design, would never have seen this work. It is one of the works that make the case for inverting the frame.

Bibliographic record

VenueeScholarship@McGill (McGill) · 2006
Typepreprint
Languageen
FieldMathematics
TopicStatistical Methods and Inference
Canadian institutionsnot available
FundersSocial Sciences and Humanities Research Council of Canada
KeywordsMathematicsDimension (graph theory)Eigenvalues and eigenvectorsConstant (computer programming)RegressionRegression analysisSample size determinationControl variableSample (material)Set (abstract data type)Variable (mathematics)Applied mathematicsStatisticsComputer scienceMathematical analysisCombinatorics
DOInot available

Abstract

fetched live from OpenAlex

A model to investigate the effect of one variable on another typically requires controls for numerous other effects which are not constant across the sample. Or-thogonal transformations of the set of potential controls can be used to extract information from a large number of such data series, via a parsimonious regression involving a reduced number of orthogonal components derived from the eigenvectors of the moment matrix of the controls (the ‘reduced-dimension control regression, RDCR). We show that this method allows consistent (and asymptotically normal, given further restrictions) estimation of a parameter of interest in a general setting, involving a possibly-unbounded set of explanatory series. We examine selection of both the particular orthogonal directions and of their dimension. Selection of the included components follows a new criterion which takes into account both the magnitude of the eigenvalue and the correlation of the eigenvector with the variable of interest. Simulation experiments show good performance of the method in com-parison with some alternative model selection devices. An application to the effect of interest rates on housing starts illustrates the straightforward steps involved in applying the methods.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.009
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMetaresearch, Meta-epidemiology (narrow), Research integrity
Consensus categoriesResearch integrity
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.251
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.009
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0000.000
Science and technology studies0.0010.000
Scholarly communication0.0000.000
Open science0.0010.001
Research integrity0.0010.003
Insufficient payload (model declined to judge)0.0010.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.062
GPT teacher head0.331
Teacher spread0.269 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it