Check for funnel plot asymmetry in two meta-analyses on sex diversity

Timofey Pnin linked to an Alice Eagly article that mentioned these two meta-analyses:

• van Dijk et al. 2012 "Defying Conventional Wisdom: A Meta-Analytical Examination of the Differences between Demographic and Job-Related Diversity Relationships with Performance"

• Post and Bryon 2015 "Women on Boards and Firm Financial Performance: A Meta-Analysis"

I wanted to check for funnel plot asymmetry in the set of studies in these meta-analyses, so I emailed coauthors of the articles. Hans van Dijk and Kris Byron were kind enough to send data.

The funnel plot for the 612 effect sizes in the van Dijk et al. 2012 meta-analysis is below. The second funnel plot below is a close-up of the bottom of the full funnel plot, limited to studies with fewer than 600 teams. The funnel plot is remarkably symmetric.

The funnel plots below are for the Post and Byron 2015 meta-analysis, with the full set of studies in the top funnel plot and, below the full funnel plot, a close-up of the studies with a standard error less than 0.4. The funnel plot is reasonably symmetric.

UPDATE (Apr 13, 2016):

More funnel plots from van Dijk et al. 2012.

Sample restricted to age diversity (DIV TYPE=1):

Sample restricted to race and ethnic diversity (DIV TYPE=2):

Sample restricted to sex diversity (DIV TYPE=5):

Sample restricted to education diversity (DIV TYPE=6):