[R-meta] Interpreting multi-level eggers test

Röhl, Sebastian @eb@@t|@n@roeh| @end|ng |rom un|-tueb|ngen@de
Tue Feb 14 13:37:48 CET 2023

Hi Katherine,

I would interpret it as follows:
Studies with larger SEs show a significantly larger effect size. Lager SEs mean smaller sample sizes.
Therefore, the test indicates a probable publication bias, as small studies with small (and therefore non-significant) effects are less present in your study pool.


Dr. Sebastian Röhl
Eberhard Karls Universität Tübingen
Institute for Educational Science
Tübingen School of Education (TüSE)
Wilhelmstraße 31 / Room 302
D-72074 Tübingen

Phone: +49 7071 29-75527
Fax: +49 7071 29-35309
Email: sebastian.roehl using uni-tuebingen.de<mailto:sebastian.roehl using uni-tuebingen.de>
Twitter: @sebastian_roehl  @ResTeacherEdu

Von: R-sig-meta-analysis <r-sig-meta-analysis-bounces using r-project.org> Im Auftrag von Katherine via R-sig-meta-analysis
Gesendet: Dienstag, 14. Februar 2023 02:58
An: r-sig-meta-analysis using r-project.org
Cc: Katherine <manbe003 using uw.edu>
Betreff: [R-meta] Interpreting multi-level eggers test

Hi all,

I am trying to conduct a 3-level metaanalysis using rma.mv. I've been exploring options for detecting selective reporting and was planning to use eggers test as explored in a previous email on this listerv (12/9/2020).

The instructions given by James involve including the standard error of the effect size as a moderator in rma.mv, and then applying cluster-robust standard errors using coef_test.

I conducted this analysis and the output was:
Coef. Estimate    SE       t-stat d.f. (Satt) p-val (Satt) Sig.
intrcpt    0.0657    0.175     0.375           25.2        0.711
mods   2.2255   0.826     2.693           13.5        0.018    *

I'm not sure how to interpret this. I assume the significant estimate for the mods indicates bias or selective reporting?

Does anyone have resources for how to interpret these numbers, and what to do next? I am hoping to find outliers and rerun analyses without outliers, to determine the robustness of my results.

This is new to me, so I greatly appreciate any help you can provide!!

Thanks for considering,


Katherine Manbeck, M.S. | Pronouns: they/them/she/her
PhD Candidate, Clinical Psychology
University of Washington
Phone: 952.240.8947

The University of Washington stands on sluʔwiɫ, a village within the traditional homelands of the Coast Salish people. The dxʷdəwʔabš (Duwamish) people past and present are the rightful stewards of this land. White settlers perpetuated genocide<https://kingcounty.gov/council/news/2015/February/native_expulsion.aspx> against Indigenous inhabitants of this area, convinced Indigenous leaders to sign predatory treaties<https://goia.wa.gov/tribal-government/treaty-point-elliott-1855>, and refused to honor<https://www.duwamishtribe.org/treaty-of-point-elliott> the meager terms of the treaties, including refusing to establish a reservation for the Duwamish people. Despite the legacy of genocide and displacement of Indigenous peoples in the Seattle area, the Duwamish are still here<https://www.duwamishtribe.org/>, a testament to their strength and resilience.
All settlers (non-Indigenous people) benefitting from this land, but especially descendants of colonizers, must find ways to support Indigenous sovereignty. The Land Back Movement<https://landback.org/> and the Land Reparations and Indigenous Solidarity Toolkit<https://resourcegeneration.org/land-reparations-indigenous-solidarity-action-guide/> offer concrete reparations for the ongoing illegal occupation of Indigenous lands across the United States. At a minimum, I believe that all settlers in the Seattle area should pay monthly Real Rent<https://www.realrentduwamish.org/> to the Duwamish tribe.

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