What has always bothered me about the “experimentalist” school is the false sense of certainty it conveys. The basic idea is that if we have a “really good instrument” we can come up with “convincing” estimates of “causal effects” that are not “too sensitive to assumptions.” Elsewhere I have written an extensive critique of this […]
Statistics & Econometrics
In some fields—physics, geophysics, climate science, sensitivity analysis, and uncertainty quantification in particular—there is a popular impression that probabilities can be estimated in a ‘neutral’ or ‘automatic’ way by doing Monte Carlo simulations: just let the computer reveal the distribution … Setting aside other issues in numerical modeling, Monte Carlo simulation is a way to […]
An easy one this week: Yours truly wants to distribute 30 one-dollar coins among his kids Linnea, David, and Tora. In how many ways can this be done if he wants all of them to get at least one coin?
Yours truly has invited five of his colleagues to share a Christmas lunch with him around the circular dinner table in his kitchen. Unfortunately, two of the colleagues are not on speaking terms with each other, so they cannot be seated together. In how many ways can we be seated around the table?
In my library, there are n philosophy books and six economics books. If yours truly can choose two books of each type in 150 ways, how many philosophy books are there in my library?