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The APA style manual does not provide specific guidelines for linear mixed models. Additionally, a review of studies using linear mixed models reported that the psychological papers surveyed differed 'substantially' in how they reported on these models (Barr, Levy, Scheepers and Tily, 2013). It depends greatly on your study, in other words. Normatively ...


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As an update, this paper may be helpful, though it comes from the medical field. References Monsalves, M.J., Bangdiwala, A.S., Thabane, A. et al. LEVEL (Logical Explanations & Visualizations of Estimates in Linear mixed models): recommendations for reporting multilevel data and analyses. BMC Med Res Methodol 20, 3 (2020).


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The short answer is yes. The longer answer involves a more precise meaning of deterministic and a number of research considerations. In the strict sense of deterministic, which means that given the same input, the same output will always occur, any probability distribution modeled on a computer is deterministic, since most digital computers have a ...


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There are some informative examples in Baayen, Davidson and Bates (2008), though some of their advice is outdated, having been supplanted by Barr et al. (2013) cited in the answer above. I found it useful to read these two papers together, though. I'd like to add my voice to @Christian in stressing that one common gap in reporting such models is which random ...


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