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Testing for Collinearity using Bayesian Analysis

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Testing for Collinearity using Bayesian Analysis. / Assaf, A.G.; Tsionas, M.
In: Journal of Hospitality and Tourism Research, Vol. 45, No. 6, 01.08.2021, p. 1131-1141.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Assaf, AG & Tsionas, M 2021, 'Testing for Collinearity using Bayesian Analysis', Journal of Hospitality and Tourism Research, vol. 45, no. 6, pp. 1131-1141. https://doi.org/10.1177/1096348021990841

APA

Assaf, A. G., & Tsionas, M. (2021). Testing for Collinearity using Bayesian Analysis. Journal of Hospitality and Tourism Research, 45(6), 1131-1141. https://doi.org/10.1177/1096348021990841

Vancouver

Assaf AG, Tsionas M. Testing for Collinearity using Bayesian Analysis. Journal of Hospitality and Tourism Research. 2021 Aug 1;45(6):1131-1141. Epub 2021 Feb 12. doi: 10.1177/1096348021990841

Author

Assaf, A.G. ; Tsionas, M. / Testing for Collinearity using Bayesian Analysis. In: Journal of Hospitality and Tourism Research. 2021 ; Vol. 45, No. 6. pp. 1131-1141.

Bibtex

@article{4dc13fd0a909472e8776602b66397a14,
title = "Testing for Collinearity using Bayesian Analysis",
abstract = "Testing for collinearity continues to be a controversial issue in the literature. Multicollinearity detection criteria, such as the variance inflation factor, often fail to detect the true extent of multicollinearity. In this article, we propose utilizing the Bayesian approach as an attractive alternative. Under the Bayesian approach, we recommend comparing the marginal posterior of regression parameters under two different priors. If the difference in the posterior under these two priors is pronounced, one can surmise that collinearity is harmful. The Kolmogorov–Smirnov test can also be used as further evidence to confirm whether the posterior difference is significant. ",
keywords = "Bayesian analysis, collinearity, marginal posteriors",
author = "A.G. Assaf and M. Tsionas",
note = "The final, definitive version of this article has been published in the Journal, Journal of Hospitality & Tourism Research, 45 (6), 2021, {\textcopyright} SAGE Publications Ltd, 2021 by SAGE Publications Ltd at the Journal of Hospitality & Tourism Research page: https://journals.sagepub.com/home/jht on SAGE Journals Online: http://journals.sagepub.com/ ",
year = "2021",
month = aug,
day = "1",
doi = "10.1177/1096348021990841",
language = "English",
volume = "45",
pages = "1131--1141",
journal = "Journal of Hospitality and Tourism Research",
issn = "1096-3480",
publisher = "SAGE Publications",
number = "6",

}

RIS

TY - JOUR

T1 - Testing for Collinearity using Bayesian Analysis

AU - Assaf, A.G.

AU - Tsionas, M.

N1 - The final, definitive version of this article has been published in the Journal, Journal of Hospitality & Tourism Research, 45 (6), 2021, © SAGE Publications Ltd, 2021 by SAGE Publications Ltd at the Journal of Hospitality & Tourism Research page: https://journals.sagepub.com/home/jht on SAGE Journals Online: http://journals.sagepub.com/

PY - 2021/8/1

Y1 - 2021/8/1

N2 - Testing for collinearity continues to be a controversial issue in the literature. Multicollinearity detection criteria, such as the variance inflation factor, often fail to detect the true extent of multicollinearity. In this article, we propose utilizing the Bayesian approach as an attractive alternative. Under the Bayesian approach, we recommend comparing the marginal posterior of regression parameters under two different priors. If the difference in the posterior under these two priors is pronounced, one can surmise that collinearity is harmful. The Kolmogorov–Smirnov test can also be used as further evidence to confirm whether the posterior difference is significant.

AB - Testing for collinearity continues to be a controversial issue in the literature. Multicollinearity detection criteria, such as the variance inflation factor, often fail to detect the true extent of multicollinearity. In this article, we propose utilizing the Bayesian approach as an attractive alternative. Under the Bayesian approach, we recommend comparing the marginal posterior of regression parameters under two different priors. If the difference in the posterior under these two priors is pronounced, one can surmise that collinearity is harmful. The Kolmogorov–Smirnov test can also be used as further evidence to confirm whether the posterior difference is significant.

KW - Bayesian analysis

KW - collinearity

KW - marginal posteriors

U2 - 10.1177/1096348021990841

DO - 10.1177/1096348021990841

M3 - Journal article

VL - 45

SP - 1131

EP - 1141

JO - Journal of Hospitality and Tourism Research

JF - Journal of Hospitality and Tourism Research

SN - 1096-3480

IS - 6

ER -