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Record W4300106639 · doi:10.12697/acutm.2004.08.21

MANOVA with singular variance matrix

2004· article· en· W4300106639 on OpenAlex

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.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueActa et Commentationes Universitatis Tartuensis de Mathematica · 2004
Typearticle
Languageen
FieldChemistry
TopicSpectroscopy and Chemometric Analyses
Canadian institutionsUniversity of Toronto
Fundersnot available
KeywordsMathematicsMultivariate analysis of varianceEstimatorRank (graph theory)Dimension (graph theory)Multivariate statisticsVariance (accounting)StatisticsApplied mathematicsData MatrixInferenceDesign matrixMatrix (chemical analysis)Linear modelComputer scienceCombinatorics

Abstract

fetched live from OpenAlex

Classical multivariate analysis of variance for p response variables is extended to cover high-dimensional data. For example, data often comprise many response variables that may be related. Therefore, inference based on all the response variables may be inefficient. However, the relationship between the response variables is usually not known. This leads to the assumption that the p response variables span a linear space of some fixed dimension, say r<p; equivalently the p×p variance matrix is singular of rank r. We will assume that the rank is given. Following the classical approach of doing inference in linear models, parameters are first estimated and thereafter tests are constructed. Estimators and tests are based on the likelihood method. The present model differs from the classical multivariate analysis of variance model and consists of a deterministic and a random part. It is noticed that the classical approach is a special case of the one which will be considered in this article.

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)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.564
Threshold uncertainty score0.998

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0030.000

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 head0.012
GPT teacher head0.274
Teacher spread0.261 · 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