The paper would become stronger with an empirical example on real data. Given the journal of choice it should be a cognitive example. It needs to be
Steps
Make choice on an example.
Consider what is a good example fitting the journal by browsing papers there
Consider accessibility of data
Discuss with Sara how much it needs to correspond with the true model in simulation part.
Take into consideration the quirks of the priors in terms of what covariance structure of the data should look like to avoid problems
Similarly make sure the data is actually a case of a model where regularization is necessary (i.e. where there is poor model fit with a simple structure).
one approach is using the same example as one of those Muthén and Asparouhov (2012) used in the original proposition of Bayesian CFA, depending on whether they're cognitive enough:
Holzinger and Swineford's (1939) classic mental abilities study
Big Five personality factor data from a British survey
Science achievement data from the National Educational Longitudinal Study of 1988.
The paper would become stronger with an empirical example on real data. Given the journal of choice it should be a cognitive example. It needs to be
Steps
Make choice on an example.
implement the model
add to paper