knb comments on Statistical Prediction Rules Out-Perform Expert Human Judgments - Less Wrong
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I have heard of one job interview that I felt constituted a useful tool that could not effectively be replaced by resume examination and statistical analysis. A friend of mine got a job working for a company that provides mathematical modeling services for other companies, and his "interview" was a several hour test to create a number of mathematical models, and then explaining to the examiner in layman's terms how and why the models worked.
Most job interviews are really not a demonstration of job skills and aptitude, and it's possible to simply bullshit your way through them. On the other hand, if you have a simple and direct way to test the competence of your applicants, then by all means use it.
That isn't an interview, it's a test. Tests are extremely useful. IQ tests are an excellent predictor of job performance, maybe the best one available. Regardless, IQ tests are usually de facto illegal in the US due to disparate impact.
I put interview in quotes because they called it an interview. Speaking broadly enough, all interviews are tests, but most are unstructured and not very good at examining the relevant predictor variables. All tests are of course not necessarily interviews, but the part where they had applicants explain their processes in layman's terms might qualify it, at least if you're generous with your definitions.
Of course, it's certainly unclear if not outright incorrect to call it an interview, but that was their choice; possibly they felt that subjecting applicants to a "test" rather than an "interview" projected a less positive image.