Meta-Analysis Resources

Tools for Those Who Summarize the Evidence Base

Resources and networking for those who conduct or interpret meta-analyses related to any phenomenon that is gauged in multiple studies.

Meta-analytic structural equation modeling


Meta-analytic structural equation modeling

A technique to synthesizing correlation/covariance matrices for the purpose of fitting structural equation models.

Members: 53
Latest Activity: May 30

Discussion Forum

Using MASEM as a data integration tool? 1 Reply

Dear Group Members,Thanks in advance for any help or advice that you can give!I am currently working with 10 cross-sectional datasets and would like to use this data to explore the relationships…Continue

Started by Anne Zhou. Last reply by Mike Cheung May 30.

Large matrices in MetaSEM 5 Replies

Hi Dr. Cheung and others,I am attempting to fit a MASEM using the two-stage approach in R with metaSEM. I have 176 correlation matrices (10x10) with varying degrees of missingness, but almost all…Continue

Started by Jamie Quinn. Last reply by Mike Cheung May 23.

OSMASEM to replicate Analysis in Tang & Cheung (2016)? 4 Replies

I'm trying to run a model similar to Tang & Cheung's (2016) model where you have two reflective construct that each have observed measures and then these two constructs in turn predict another…Continue

Started by Sergio Canavati. Last reply by Sergio Canavati Dec 1, 2018.

Formative Model with TSSEM 5 Replies

Hi there,I am using A/Prof Mike Cheung's TSSEM (See:…Continue

Started by Ryan Tang. Last reply by Jisoo Ock Oct 7, 2018.

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Comment by Mike Cheung on November 30, 2018 at 10:24pm

Hi Sergio,

I have two clarifications.

The approach by Wilson, Polanin & Lipsey (2016) is not the same as the multi-level multivariate model in Chapter 6 of my 2015 book.

My tssem2() or wls() were developed for fitting SEM with correlation/covariance matrices. I don't know whether it is appropriate to use them to fit multi-endpoint studies.


Comment by Sergio Canavati on November 29, 2018 at 6:42pm

Hi Mike,

Good point. I'm using the approach by Wilson, Polanin & Lipsey (2016) which you cite in Chapter 6 of your 2015 book in the discussion of multi-level multivariate models. You also wrote an introduction to the special issue in which it was published in RSM. Basically, in this approach I use the metafor function (indicting random effects at the effect size and study levels [that way I can use multi-endpoint studies]) to estimate no-intercept estimates that I can use to populate my correlation table and generate the asymptotic covariance matrix. 

Then, in the second stage I enter the aCov from metafor into the wls function in metaSEM. My n = sum(sample sizes of all studies). 

Is there another way I can perform MASEM using multi-endpoint studies without having to average effect sizes from multi-endpoint studies?



Comment by Mike Cheung on November 29, 2018 at 4:52am

Hi Sergio,

I am confused. I thought that you were fitting SEM with the TSSEM. But you have just mentioned multi-endpoint studies which are not related to the TSSEM.


Comment by Sergio Canavati on November 28, 2018 at 12:51pm

Hi Mike,

I tried OSMASEM for a study I'm conducting but the results changed because it required that I average effect sizes in studies that provide more than one effect size for a specific construct relationship. Since I have an average of 2 effect sizes for each construct relationship in each sample study, I was using this method ( to estimate the aCov and the used the WLS function to fit the SEM in the second stage. In your recent PsychFrontiers article, you show that the estimates in multi-endpoint studies are biased in multi-level multivariate models when we assume homogeneity of variance. The solution you propose there also doesn't help me because the studies are using provide multiple end-points for the same construct relationships. How do you suggest I proceed?

Comment by Mike Cheung on November 28, 2018 at 2:09am

Dear Sergio,

If you were referring to the regression coefficients or factor loadings are U shape, I don't think that it can be easily done given that this is a meta-analysis. If you were referring to the relationship between a moderator and the regression coefficients is U shape, it might be possible under the One-Stage MASEM. But it won't be an easy task.


Comment by Sergio Canavati on November 26, 2018 at 3:24pm

Dear Mike,

How can I test inverse u-shaped variable relationships (quadratic terms) in TSSEM?


Comment by Mike Cheung on September 26, 2018 at 7:03am

Dear Empi,

As I don't use STATA, I am not sure how difficult it is to implement the WLS fit function in STATA.

I have a draft on this topic (as a co-author). If you would like to try the STATA code, please drop me an email.



Comment by Empi on September 26, 2018 at 2:40am
Dear Mike
I was just wondering if it is possible to conduct MASEM in Stata. Apparently, it is possible to use the stata SEM-package to do conventional fixed or fand im effect meta analysis. But it is not clear to me if e.g. path models might be meta analyse in Stata?
Comment by Empi on September 15, 2018 at 6:04am

Dear all,

my question is whether there is an established minimum number of studies necessary to conduct a random effects meta analysis?

In the neighboring field of multilevel analaysis, the typical advice is to use at least 20-30 groups for random intercept models. However, my impression is that  random effects meta-analytical models  - which seem to resemble the logic of twolevel analyses - are often based on relatively few studies, say approx. k=10-15. I couldn't find any simulation study, hence I would be very grateful for suggestions...



Comment by Mike Cheung on September 7, 2018 at 9:33pm

Dear Empi,

#1: I think so though I have not tested it yet. The standard error with the “stdyx” is based on the delta method, which should be the same as the one with the SEM approach.

#2 Yes.

#3 Regarding synthesizing interaction effects, I would suggest using the raw data rather than the summary statistics. If the scales of the variables are comparable across studies, you may compare whether the slopes of the interaction term are equal across samples. It is a three-way interaction.



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