Criteria for comparing statistical methods

[kc]

I am trying to figure out the metrics one can use to compare different statistical procedures. For example, when analyzing longitudinal data, several different methods can be used, two of which are linear mixed effects model and repeated measures anova. How would you compare and chose the appropriate method between the two - Is that even possible?

[JosvanderVelden]

You can try to start here: https://support.sas.com/kb/22/630.html and https://www.lexjansen.com/search/searchresults.php?q=%22model%20assessment%22 

[Ksharp]

Using "linear mixed effects model ",
"repeated measures anova" is old and obsolete method.