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Has anyone written a brief survey of the various approaches to statistics? To a first approximation you have frequentist and Bayesian statistics. But when you look closer you also have other approaches like likelihoodist and empirical Bayes. And then you have subdivisions within groups such as subjective Bayes objective Bayes within Bayesian statistics etc.

A survey article would be good. It would be even better if it included a diagram.

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Here's one I found via a Google Image search, but maybe it's too brief, and the diagram too simple: http://labstats.net/articles/overview.html

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    $\begingroup$ Thanks. That's a nice article. It's a start at what I have in mind, but as you say it's very brief. $\endgroup$
    – John D. Cook
    Commented Jan 26, 2011 at 13:52
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Here's a longer article. No diagram and isn't exactly a survey, more, as the abstract puts it, of 'an idiosyncratic walk through some of these issues':

M. J. Bayarri and J. O. Berger (2004). "The Interplay of Bayesian and Frequentist Analysis". Statistical Science 19 (1):58-80.

(access requires a JSTOR subscription)

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    $\begingroup$ You can get this article for free (although may be a slightly different version) here isds.duke.edu/~berger/papers/interplay.pdf . Okay to give a "free" link, because its on James Berger's Website. $\endgroup$
    – probabilityislogic
    Commented Jan 26, 2011 at 1:05
  • $\begingroup$ I look forward to reading that one. Jim Berger has deep insights. $\endgroup$
    – John D. Cook
    Commented Jan 26, 2011 at 13:53

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