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Neutrosophic 2<sup>2</sup>-Factorial Designs and Analysis

2024· article· en· W4398757925 on OpenAlexaff
Pranesh Kumar

Bibliographic record

VenueInternational Journal of Applied Physics and Mathematics · 2024
Typearticle
Languageen
FieldMathematics
TopicFuzzy Systems and Optimization
Canadian institutionsUniversity of Northern British Columbia
Fundersnot available
KeywordsFactorial experimentFactorialMathematicsStatisticsMathematical analysis

Abstract

fetched live from OpenAlex

In field or laboratory planned experiments, it is possible to observe vague, incomplete, or imprecise data due to known or unknown reasons.Thus, the analysis should take into consideration the imprecision in data vales.In recent past, researchers have proposed various approaches such as fuzzy, intuitionistic fuzzy and neutrosophic logic and analysis, which provide better understanding, analysis and interpretations of the imprecise data.Experimental design and analysis is a systematic, rigorous approach to problem solving that applies principles and techniques at the data collection stage so as to ensure the generation of valid, defensible, and supportable conclusions.Factorial designs are widely used in experiments that involve several factors and where it is necessary to study the joint effects of the factors on a response.Several special cases of the general factorial design are important because they are widely used in research work and also because they form the basis of other designs of considerable practical value.These designs are widely used in factor screening experiments as well.The most important of these special cases is that of k factors, each at only two levels.These levels may be quantitative or they may be qualitative.A complete replicate of such a design is called a 2 k -factorial design.In this paper, we consider the first design in the 2 k -series which is one with only two factors, say A and B, each run at two levels.The levels of the factors may be arbitrarily called low and high.This design is called a 2 2 -factorial design.For the imprecise response data, we will define a neutrosophic 2 2 -factorial design (N2 2 FD), neutrosophic model and neutrosophic analysis.As an illustration, we consider an investigation into the effect of the concentration of the reactant and the amount of the catalyst on the conversion (yield) in a chemical process.The objective of the experiment is to determine if adjustments to either of these two factors would increase the yield.

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)0.014
metaresearch head score (Gemma)0.017
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: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.017
Threshold uncertainty score0.075

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0140.017
Meta-epidemiology (narrow)0.0020.001
Meta-epidemiology (broad)0.0020.002
Bibliometrics0.0010.002
Science and technology studies0.0010.002
Scholarly communication0.0020.001
Open science0.0020.001
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.0170.002

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 head0.031
GPT teacher head0.288
Teacher spread0.256 · 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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