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Not articles but there are two very excellent books on the subject that I can't recommend enough:

If you read calculus with about the same fluency as the comic books then "Data Analysis: A Bayesian Tutorial" is awesome http://www.amazon.com/Data-Analysis-A-Bayesian-Tutorial/dp/0...

And if you would like a little more exposition (but still a mathematically sophisticated treatment) "Doing Bayesian Data Analysis: A Tutorial with R and BUGS" is fantastic http://www.amazon.com/Doing-Bayesian-Data-Analysis-Tutorial/...

The latter will also give you more details of how to approach classical, frequentest tests and summary statistics with their Bayesian equivalent.

Honestly I would say get both books as they're cheap and provide different insights. You only need to read a few chapters of each to see how you approach basic experiments from a Bayesian perspective.

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