A few more model ideas

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hadley 2016-07-06 17:57:03 -05:00
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Exploratory vs. confirmatory
Most people think of models as confirmatory and visualisations as exploratory. But you can have confirmatory visualisations and exploratory models. This book focuses on exploration.
### Formal Statistics and Machine Learning

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The goal of a fitted model is to provide a simple low-dimensional summary of a dataset. Ideally, the fitted model will capture true "signals" (i.e. patterns generated by the phenomenon of interest), and ignore "noise" (i.e. random variation that you're not interested in).
A model is a tool for making predictions. Goal of a model is to be simple and useful.
This is a hard problem because any fitted dataset is just the "best" (closest) model from a family of models. Just because it's the best model doesn't make it good. And it certainly doesn't imply that the model is true. But a model doesn't need to be true to be useful. You've probably heard George Box's famous aphorism:
> All models are worng, but some are useful.