Are likelihood approaches frequentist?
prado wrote:
Thanks, Rub?n My point with this topic was to clarify that the likelihood-based approach is a distinct paradigm in statistical inference, and there is people in biology applying it successfully.
It's a very good point to make. Another important paper is Rubin's paper on missing data: Biometrika 63:581-592, 1976. There Rubin basically shows that it is easier to make statistical models for data with Bayesian and likelihoodist inference, because the mechanism generating missing data can be ignored if the missing data is missing at random, whereas in sampling distribution inference this conditions is not sufficient. To ignore the mechanism generating missing data it is also necessary that the observed data be observed at random. Many usual scientific studies involve missing data, such s random sampling from finite populations, randomized experimental set up, etc.
I agree with you that this point should be better stressed, specially for biologists. Taper & Lelle "The Nature of Scientific Evidence" (Chigago Univ Press, 2007) is a great help in this respect.
Thanks for this reference. I've missed it.
Could you indicate the best works by Nelder Lindsey that could contribute to this point?
In the case of Nelder, I only know of his personal statement in the quote that I gave by mistake in my first post, complemented in the second post. Lindsey has a very interesting paper in The Statistician (apart from heresies): Relationship between sample size, model selection and likelihood regions, and scientifically important differences. The Statistician 48:401-411. Regards Rub?n