Writing Up Multilevel Results

Andy Grogan-Kaylor
2022-04-27

Background

I’m sometimes asked about how to format a table of results from a multilevel model. As with many statistical matters, while I certainly think that there are correct and incorrect conclusions that we can draw from statistical evidence, I’m often less interested in identifying approaches as 100% right, or 100% wrong. I’m more interested in: “What is a principled approach?”

So it is with creating tables. What is a principled approach? What basic table format offers the essential statistical information in a principled way? Hence the table template below.

I think the template is always a very good starting place for submitting your work. Of course, particular journals, or particular conferences, may ask you to present your results in a different format, but the below always seems to me to be a good place to start.

A Table Template

Variable1 \(\beta\) t p Confidence Interval
AAA 1.23 1.11 .15 [-.01, 1.45]
BBB -3.21 2.01 .04 [-4.56, -1.23]
CCC 2.34 3.21 .01 [1.23, 4.56]
Random Effects variance
var(\(u_0\)) .012 [.011, .051]
var(\(e_i\)) .456 [.123, .456]

  1. Of course these are just pretend variable labels, and you would include real illustrative variable labels instead.↩︎