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Record W4250904028 · doi:10.1002/0470013192.bsa636

Sphericity Test

2005· other· en· W4250904028 on OpenAlexaff
H. J. Keselman

Bibliographic record

VenueEncyclopedia of Statistics in Behavioral Science · 2005
Typeother
Languageen
FieldPsychology
TopicBehavioral and Psychological Studies
Canadian institutionsUniversity of Manitoba
Fundersnot available
KeywordsSphericityHomogeneity (statistics)Type I and type II errorsMathematicsStatisticsNull hypothesisNormalityEconometricsStatistical hypothesis testingComputer science

Abstract

fetched live from OpenAlex

Abstract Classical test statistics, such as the usual F test, for the analysis of repeated measures or longitudinal treatment effects, will provide accurate assessments (i.e., correct Type I error probabilities) of null hypotheses when their assumptions of independence, normality, and homogeneity hold. Homogeneity in this context is referred to as sphericity or circularity. This paper enumerates the validity assumptions for simple‐order and higher‐order repeated measures designs, as well as discussing why for many behavioral science applications sphericity will not be satisfied, and concludes by noting procedures that researchers can adopt to circumvent the biasing effects of nonsphericity.

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.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.016
metaresearch head score (Gemma)0.120
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.068
Threshold uncertainty score0.227

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0160.120
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0050.007
Science and technology studies0.0030.003
Scholarly communication0.0060.004
Open science0.0020.004
Research integrity0.0010.003
Insufficient payload (model declined to judge)0.0680.024

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 head0.089
GPT teacher head0.376
Teacher spread0.287 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designNot applicable
Domainnot available
GenreMethods

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2005
Admission routes1
Has abstractyes

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