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by christopheraden
3336 days ago
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Sure, using hypothesis tests could pick out some of the structured examples in the Datasaurus, but in practice, things are often more subtle. Goodness of Fit tests to check for normality, in particular, are a little bit thorny, lacking power in small sample sizes, and rejecting normality for slight departures in higher sample sizes. My experience has been with assumption checking that by the time a hypothesis test has sufficient evidence to reject an assumption, you'd usually be able to see it visually. Until you get into high dimensions, it probably doesn't hurt too much to visualize the data. Additionally, it can be helpful to understand what signal has been left in the residuals (ex: you fit a linear model, but failed to include a quadratic term), which is something hypothesis tests aren't as good at telling you. |
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