Is there a standard / commonly accepted Bayesian approach to calculating sample numbers? I’ve always been taught to use a pre-determined sampling strategy such as the '77 NIOSH tables or a caluclation with t-stat, GM, & SD.
I’m reading “Doing Bayesian Data Anaylsis” by John Kuschke.
It explains to estimate desired sample numbers:
Create a hypothetical informed prior.
(In the practice, I understood that this prior would be informed in the same why you inform any prior - exposure results collected from the same task last year, results from a preliminary test (EN689), literature etc. etc.)
Generate representative data set based on a particular plan - i.e. if N samples were collected
Tally if the goal was reached by this data set
(In the practice, is the overexposure risk below the overexposure risk threshold)
Repeat many times to approximate the power if N samples were collected
I guess you then play around with how large N is in this simulation until the desired power is reached. (What level of power there should be when calculating the overexposure risk… I don’t know.)
Am I way off? Is there reading anyone can recommend on this topic in the context of occupational hygiene?
Diagram of power analysis taken from the mentioned textbook.