I don’t think statistics works in the N=76 regime. In Bayesian terms, the data is sufficient to justify only a minor update, so whatever conclusions you draw will be dominated by your choice of prior.
I don’t understand why you call that statistics “not working.” Do you mean frequentist statistics?
Also, that’s just flat out wrong. Often in a Bayesian analysis with a sample size of n=75 or so (or smaller!), you’ll draw the same conclusions for any reasonable choice of prior, including diffuse priors which primarily reflect the data. Choosing a different reasonable model still might result in different conclusions, so if you’re using the word ‘prior’ to include the data model, then I don’t disagree.
Choosing a different reasonable model still might result in different conclusions, so if you’re using the word ‘prior’ to include the data model, then I don’t disagree.
Right, so the word “reasonable” is prominent here, and implies some kind of subjective evaluation. Different people may very well have different notions of what constitutes a reasonable model. If we were arguing different sides of the case in court, I could just claim your model was unreasonable and determined according to your subjective preferences.
I don’t understand why you call that statistics “not working.” Do you mean frequentist statistics?
Also, that’s just flat out wrong. Often in a Bayesian analysis with a sample size of n=75 or so (or smaller!), you’ll draw the same conclusions for any reasonable choice of prior, including diffuse priors which primarily reflect the data. Choosing a different reasonable model still might result in different conclusions, so if you’re using the word ‘prior’ to include the data model, then I don’t disagree.
Right, so the word “reasonable” is prominent here, and implies some kind of subjective evaluation. Different people may very well have different notions of what constitutes a reasonable model. If we were arguing different sides of the case in court, I could just claim your model was unreasonable and determined according to your subjective preferences.
I’m not sure what your point is.