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Record W4391823628 · doi:10.32920/25219319.v1

Equivalence Testing for Multiple Regression

2024· preprint· en· W4391823628 on OpenAlexaff
Udi Alter

Bibliographic record

Venuenot available
Typepreprint
Languageen
FieldPsychology
TopicMental Health Research Topics
Canadian institutionsToronto Metropolitan UniversityYork University
Fundersnot available
KeywordsEquivalence (formal languages)Null hypothesisRegressionEconometricsRegression testingNull (SQL)Regression analysisOutcome (game theory)MathematicsStatisticsStatistical hypothesis testingPsychologyComputer scienceMathematical economicsData miningDiscrete mathematicsProgramming language

Abstract

fetched live from OpenAlex

Psychological research is rife with inappropriately concluding “no effect” between predictors and outcome in regression models following statistically nonsignificant results. This approach is methodologically flawed, however, because failing to reject the null hypothesis using traditional, difference-based tests does not mean the null is true. Using this approach leads to high rates of incorrect conclusions which floods psychological literature. This thesis introduces a novel, methodologically sound alternative; I demonstrate how to apply equivalence testing to evaluate whether predictors have negligible effects on the outcome in multiple regression. I constructed a simulation study to evaluate the performance of two equivalence-based methods and compared it to the traditional test. I further developed two R functions which accompany this thesis to supply researchers with open-access and easy-to-use tools. The use of the proposed equivalence-based methods and R functions is illustrated through examples from the literature, and recommendations for results reporting and interpretations are discussed.

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)0.137
metaresearch head score (Gemma)0.564
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.137
Threshold uncertainty score0.727

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.1370.564
Meta-epidemiology (narrow)0.0030.001
Meta-epidemiology (broad)0.0040.005
Bibliometrics0.0060.007
Science and technology studies0.0020.010
Scholarly communication0.0050.008
Open science0.0040.007
Research integrity0.0030.009
Insufficient payload (model declined to judge)0.0150.005

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 head0.418
GPT teacher head0.554
Teacher spread0.135 · 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 designTheoretical or conceptual
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

Citations1
Published2024
Admission routes1
Has abstractyes

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Same topicMental Health Research TopicsFrench-language works237,207