RM-ANOVA with informed priors

Comments

• EJ

  January 2018

  Hi Michael,

  This is tricky. One thing you could do is compute the BF for the initial sample, and then for the complete sample; dividing them out yields the BF for the replication sample after updating the priors with the initial sample. This only works when the data are exchangeable, so when it is a close replication. For details see https://psyarxiv.com/u8m2s/

  Cheers,
  E.J.
• Michael

  January 2018

  Dear E.J.,

  Many thanks for your reply - I will read the paper with great interest.
  Just to clarify, are the updated priors in an ANOVA taken as the posterior odds (p(m|data)) from the initial analysis?

  Kind regards,

  Michael
• EJ

  January 2018

  Hi Michael,
  The updated priors are on the model parameters. But this happens implicitly, that is, the BF you obtain is the same one that you could also have obtained in case you had been able to properly update the prior distributions on the model parameters. :-)
  E.J.
• Michael

  January 2018

  Okay, this makes sense! Perfect :-)
  Thanks again E.J.!