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betaDelta and betaSandwich: Confidence Intervals for Standardized Regression Coefficients in R
Pesigan,Ivan Jacob Agaloos1; Sun,Rong Wei2; Cheung,Shu Fai1
2023
Source PublicationMultivariate Behavioral Research
ISSN0027-3171
Abstract

The multivariate delta method was used by Yuan and Chan to estimate standard errors and confidence intervals for standardized regression coefficients. Jones and Waller extended the earlier work to situations where data are nonnormal by utilizing Browne’s asymptotic distribution-free (ADF) theory. Furthermore, Dudgeon developed standard errors and confidence intervals, employing heteroskedasticity-consistent (HC) estimators, that are robust to nonnormality with better performance in smaller sample sizes compared to Jones and Waller’s ADF technique. Despite these advancements, empirical research has been slow to adopt these methodologies. This can be a result of the dearth of user-friendly software programs to put these techniques to use. We present the betaDelta and the betaSandwich packages in the R statistical software environment in this manuscript. Both the normal-theory approach and the ADF approach put forth by Yuan and Chan and Jones and Waller are implemented by the betaDelta package. The HC approach proposed by Dudgeon is implemented by the betaSandwich package. The use of the packages is demonstrated with an empirical example. We think the packages will enable applied researchers to accurately assess the sampling variability of standardized regression coefficients.

KeywordConfidence Intervals Delta Method Standard Errors Heteroskedasticity-consistent Standard Errors r Package Standardized Regression Coefficients
DOI10.1080/00273171.2023.2201277
URLView the original
Indexed BySCIE ; SSCI
Language英語English
WOS Research AreaMathematics ; Mathematical Methods In Social Sciences ; Psychology
WOS SubjectMathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods ; Psychology, Experimental ; Statistics & Probability
WOS IDWOS:000976704600001
PublisherROUTLEDGE JOURNALS
Scopus ID2-s2.0-85153623669
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Document TypeJournal article
CollectionDEPARTMENT OF PSYCHOLOGY
Corresponding AuthorPesigan,Ivan Jacob Agaloos
Affiliation1.Department of Psychology,University of Macau,Macao
2.School of Arts and Humanities,Tung Wah College,Hong Kong
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Pesigan,Ivan Jacob Agaloos,Sun,Rong Wei,Cheung,Shu Fai. betaDelta and betaSandwich: Confidence Intervals for Standardized Regression Coefficients in R[J]. Multivariate Behavioral Research, 2023.
APA Pesigan,Ivan Jacob Agaloos., Sun,Rong Wei., & Cheung,Shu Fai (2023). betaDelta and betaSandwich: Confidence Intervals for Standardized Regression Coefficients in R. Multivariate Behavioral Research.
MLA Pesigan,Ivan Jacob Agaloos,et al."betaDelta and betaSandwich: Confidence Intervals for Standardized Regression Coefficients in R".Multivariate Behavioral Research (2023).
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