Probability-of-Superiority SEM (PS-SEM)—Detecting Probability-Based Multivariate Relationships in Behavioral Research

In behavioral research, exploring bivariate relationships between variables X and Y based on the concept of probability-of-superiority (PS) has received increasing attention. Unlike the conventional, linear-based bivariate relationship (e.g., Pearson's correlation), PS defines that X and Y can...

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Main Author: Johnson Ching-Hong Li
Format: Article
Language:English
Published: Frontiers Media S.A. 2018-06-01
Series:Frontiers in Psychology
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fpsyg.2018.00883/full
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author Johnson Ching-Hong Li
author_facet Johnson Ching-Hong Li
author_sort Johnson Ching-Hong Li
collection DOAJ
description In behavioral research, exploring bivariate relationships between variables X and Y based on the concept of probability-of-superiority (PS) has received increasing attention. Unlike the conventional, linear-based bivariate relationship (e.g., Pearson's correlation), PS defines that X and Y can be related based on their likelihood—e.g., a student who is above mean in SAT has 63% likelihood of achieving an above-mean college GPA. Despite its increasing attention, the concept of PS is restricted to a simple bivariate scenario (X-Y pair), which hinders the development and application of PS in popular multivariate modeling such as structural equation modeling (SEM). Therefore, this study addresses an empirical-based simulation study that explores the potential of detecting PS-based relationship in SEM, called PS-SEM. The simulation results showed that the proposed PS-SEM method can detect and identify PS-based when data follow PS-based relationships, thereby providing a useful method for researchers to explore PS-based SEM in their studies. Conclusions, implications, and future directions based on the findings are also discussed.
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spelling doaj.art-034317e28c934c1789768248a0fb432c2022-12-21T18:26:37ZengFrontiers Media S.A.Frontiers in Psychology1664-10782018-06-01910.3389/fpsyg.2018.00883310439Probability-of-Superiority SEM (PS-SEM)—Detecting Probability-Based Multivariate Relationships in Behavioral ResearchJohnson Ching-Hong LiIn behavioral research, exploring bivariate relationships between variables X and Y based on the concept of probability-of-superiority (PS) has received increasing attention. Unlike the conventional, linear-based bivariate relationship (e.g., Pearson's correlation), PS defines that X and Y can be related based on their likelihood—e.g., a student who is above mean in SAT has 63% likelihood of achieving an above-mean college GPA. Despite its increasing attention, the concept of PS is restricted to a simple bivariate scenario (X-Y pair), which hinders the development and application of PS in popular multivariate modeling such as structural equation modeling (SEM). Therefore, this study addresses an empirical-based simulation study that explores the potential of detecting PS-based relationship in SEM, called PS-SEM. The simulation results showed that the proposed PS-SEM method can detect and identify PS-based when data follow PS-based relationships, thereby providing a useful method for researchers to explore PS-based SEM in their studies. Conclusions, implications, and future directions based on the findings are also discussed.https://www.frontiersin.org/article/10.3389/fpsyg.2018.00883/fullprobability-of-superioritystructural equation modelingmonte carlo simulationnonlinear modelingfactor analysis
spellingShingle Johnson Ching-Hong Li
Probability-of-Superiority SEM (PS-SEM)—Detecting Probability-Based Multivariate Relationships in Behavioral Research
Frontiers in Psychology
probability-of-superiority
structural equation modeling
monte carlo simulation
nonlinear modeling
factor analysis
title Probability-of-Superiority SEM (PS-SEM)—Detecting Probability-Based Multivariate Relationships in Behavioral Research
title_full Probability-of-Superiority SEM (PS-SEM)—Detecting Probability-Based Multivariate Relationships in Behavioral Research
title_fullStr Probability-of-Superiority SEM (PS-SEM)—Detecting Probability-Based Multivariate Relationships in Behavioral Research
title_full_unstemmed Probability-of-Superiority SEM (PS-SEM)—Detecting Probability-Based Multivariate Relationships in Behavioral Research
title_short Probability-of-Superiority SEM (PS-SEM)—Detecting Probability-Based Multivariate Relationships in Behavioral Research
title_sort probability of superiority sem ps sem detecting probability based multivariate relationships in behavioral research
topic probability-of-superiority
structural equation modeling
monte carlo simulation
nonlinear modeling
factor analysis
url https://www.frontiersin.org/article/10.3389/fpsyg.2018.00883/full
work_keys_str_mv AT johnsonchinghongli probabilityofsuperioritysempssemdetectingprobabilitybasedmultivariaterelationshipsinbehavioralresearch