Percentage Coefficient (bp)--Effect Size Analysis (Theory Paper 1)

doi:https://doi.org/10.48550/arXiv.2404.19495

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	Percentage Coefficient (bp)--Effect Size Analysis (Theory Paper 1)
	ZHAO XINSHU1 ; Dianshi Moses Li 1; Ze Zack Lai 1; Piper Liping Liu 2; Song Harris Ao 1; Fei You 1
	2024-04
Source Publication	arXiv
Abstract	Percentage coefficient (bp) has emerged in recent publications as an additional and alternative estimator of effect size for regression analysis. This paper retraces the theory behind the estimator. It's posited that an estimator must first serve the fundamental function of enabling researchers and readers to comprehend an estimand, the target of estimation. It may then serve the instrumental function of enabling researchers and readers to compare two or more estimands. Defined as the regression coefficient when dependent variable (DV) and independent variable (IV) are both on conceptual 0-1 percentage scales, percentage coefficients (bp) feature 1) clearly comprehendible interpretation and 2) equitable scales for comparison. The coefficient (bp) serves the two functions effectively and efficiently. It thus serves needs unserved by other indicators, such as raw coefficient (bw) and standardized beta. Another premise of the functionalist theory is that "effect" is not a monolithic concept. Rather, it is a collection of concepts, each of which measures a component of the conglomerate called "effect", thereby serving a subfunction. Regression coefficient (b), for example, indicates the unit change in DV associated with a one-unit increase in IV, thereby measuring one aspect called unit effect, aka efficiency. Percentage coefficient (bp) indicates the percentage change in DV associated with a whole scale increase in IV. It is not meant to be an all-encompassing indicator of an all-encompassing concept, but rather a comprehendible and comparable indicator of efficiency, a key aspect of effect.
DOI	https://doi.org/10.48550/arXiv.2404.19495
URL	View the original
Fulltext Access	View Full-Text via DOI
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Document Type	Journal article
Collection	DEPARTMENT OF COMMUNICATION
Affiliation	1.University of Macau 2.Shenzhen University
First Author Affilication	University of Macau
Recommended Citation GB/T 7714	ZHAO XINSHU,Dianshi Moses Li,Ze Zack Lai,et al. Percentage Coefficient (bp)--Effect Size Analysis (Theory Paper 1)[J]. arXiv, 2024.
APA	ZHAO XINSHU., Dianshi Moses Li., Ze Zack Lai., Piper Liping Liu., Song Harris Ao., & Fei You (2024). Percentage Coefficient (bp)--Effect Size Analysis (Theory Paper 1). arXiv.
MLA	ZHAO XINSHU,et al."Percentage Coefficient (bp)--Effect Size Analysis (Theory Paper 1)".arXiv (2024).

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