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.
As a part of my job, I recently created an econometric model. My boss wants someone to look over the math before its submitted internally throughout the company. We have a modest amount of money set aside for someone to audit the process.
The model is an ARMA(2,1) with seasonality, trend, and a dummy variable. There's no heteroscedasticity or serial correlation, but the Ramsey Reset test suggests a more different model might work better.
I currently have the data in an eviews file, so you'd need to do zero data entry.
There's a small chance this will be used in court, but none of the liability will be transferred to you. There should be an emphasis placed on parsimony. You'd have to sign a confidentiality agreement.
If you're qualified to review this/suggest a marginally better model, then this would be an easy way for you to make bank in a couple hours time. If it goes well, there might be more work like this in the future.
Let me know if you're interested.