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Yo, listen up, here’s a story
About a little guy that lives in a BLUE world
And all day and all night and everything he sees is just Best Linear Unbiased EstimatorDa-ba-dee, da-ba-di, da-ba-dee, da-ba-di
I don’t get it, can you explain?
To the practicing statisticians out there: Is BLUE at all relevant in the field? Even if you can formulate your data/problem as a linear regression, wouldn’t maximum likelihood estimation still be the preferred method in most scenarios? Edit: Of course Bayesian analysis is of equal relevance here!
OLS is well used in a lot of domains. If you have a continuous outcome you have a straightforward and very easy way to get a quick reliable estimate of some interesting parameter. The typical use in most social sciences is to implement some sort of difference-in-differences (or DiD event-study) estimate within a simple linear regression.
