2016
DOI: 10.1080/00273171.2016.1235965
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Robust Methods for Moderation Analysis with a Two-Level Regression Model

Abstract: Moderation analysis has many applications in social sciences. Most widely used estimation methods for moderation analysis assume that errors are normally distributed and homoscedastic. When these assumptions are not met, the results from a classical moderation analysis can be misleading. For more reliable moderation analysis, this article proposes two robust methods with a two-level regression model when the predictors do not contain measurement error. One method is based on maximum likelihood with Student's t… Show more

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Cited by 11 publications
(7 citation statements)
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“…Fortunately, l * z functions as a standardized residual that we used in this study. Using a standardized residual is similar to the approach used in Yang and Yuan (2016). Next, we needed to choose a weight function.…”
Section: Robust Estimation Of Grm Through Robust Maximum Marginal Likmentioning
confidence: 99%
“…Fortunately, l * z functions as a standardized residual that we used in this study. Using a standardized residual is similar to the approach used in Yang and Yuan (2016). Next, we needed to choose a weight function.…”
Section: Robust Estimation Of Grm Through Robust Maximum Marginal Likmentioning
confidence: 99%
“…* functions as a standardized residual which we use in this study. Using a standardized residual is similar to the approach used in Yang and Yuan (2016). Next, we need to choose a weight function.…”
Section: Robust Estimation Of Grm Through Robust Maximum Marginal Likmentioning
confidence: 99%
“…Psychotherapy outcome is known to be influenced strongly by extratherapeutic factors (40), which increases the probability of having multivariate outliers. To avoid having outliers influencing slope estimates disproportionally to the bulk of observations we specified a Students' t-distribution with five degrees of freedom to the errors, giving a robust estimation of regression coefficients (37,41).…”
Section: Robust Modelling Of Treatment Moderationmentioning
confidence: 99%