2018
DOI: 10.1177/2158244018820380
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Model Misspecification and Assumption Violations With the Linear Mixed Model: A Meta-Analysis

Abstract: This meta-analysis attempts to synthesize the Monte Carlo (MC) literature for the linear mixed model under a longitudinal framework. The meta-analysis aims to inform researchers about conditions that are important to consider when evaluating model assumptions and adequacy. In addition, the meta-analysis may be helpful to those wishing to design future MC simulations in identifying simulation conditions. The current meta-analysis will use the empirical type I error rate as the effect size and MC simulation cond… Show more

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Cited by 12 publications
(9 citation statements)
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References 31 publications
(45 reference statements)
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“…Person-mean-centered state extraversion was used as a Level 1 predictor of momentary mood. Level 2 random intercepts and random slopes were included in the model (LeBeau et al, 2018 ). To test whether the two experimental conditions differed in their association between state extraversion and momentary mood, we additionally included the cross-level interaction between sampling frequency at the person level and state extraversion at the questionnaire level.…”
Section: Methodsmentioning
confidence: 99%
“…Person-mean-centered state extraversion was used as a Level 1 predictor of momentary mood. Level 2 random intercepts and random slopes were included in the model (LeBeau et al, 2018 ). To test whether the two experimental conditions differed in their association between state extraversion and momentary mood, we additionally included the cross-level interaction between sampling frequency at the person level and state extraversion at the questionnaire level.…”
Section: Methodsmentioning
confidence: 99%
“…We did not model random slopes due to convergence issues resulting from small variances of the slopes across people. If there is variation in the slopes across people (i.e., the variance of the slopes across people does not equal 0 in the population), prior simulation evidence indicates that the fixed effect estimates will be unbiased (Kwok, West, & Green, 2007; LeBeau, 2016), however, the standard errors for the linear slope may be biased, resulting in inflated Type I errors (LeBeau, 2018; LeBeau, Song, & Liu, 2018). Because the primary interest in this study was the direction and magnitude of the slope estimates (rather than tests of whether the slopes differed reliably from 0), we deemed this approach satisfactory.…”
Section: Methodsmentioning
confidence: 99%
“…4 and Additional file 1: Figs. S6-S8) [24][25][26]. rmRNAseq, which uses a CAR covariance structure, remains overly conservative with noticeably lower sensitivity in most scenarios, although FDR inflation is seen for between-subject and interaction tests at the smallest sample size ( N = 3 per group).…”
Section: Error Rates and Sensitivitymentioning
confidence: 99%