SEM involes testing the significance of the relationship of dozens if not scores of observed variables with latent variables. After this, the relationship between several latent variables are tested as path coefficients. Evere time a statistical test is conducted the probility of a false positive increases. Here are my questions
- Is it possible that so many statistical test being ran on the same data is an example of p-hacking?
- Does any SEM software correct for this ie bonferroni correction?
- Is this problem not a concern in the social sciences were SEM is used frequently?