19 
Mechanics of Statistics
Overview
This chapter is an essay on fitting for those of you who are mechanically inclined. If you have any talent for imagining how springs and tire pumps work, you can put it to work here in a fantasy in which all the statistical methods are visualized in simple mechanical terms.
The goal is to not only remember how statistics works, but also train your intuition so you will be prepared for new statistical issues.
Here is an illuminating trick that will help you understand and remember how statistical fits really work. It involves pretending that statistical fitting is performed by machines. If we can figure out the right machines and visualize how they behave, we can reconstruct all of statistics by putting together these simple machines into arrangements appropriate to the situation. We need only two machines of fit, the spring for fitting continuous Normal responses and the pressure cylinder for fitting categorical responses.
Readers interested in this approach should consult Farebrother (2002), who covers physical models of statistical concepts extensively.
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