vault backup: 2024-02-13 15:18:37

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zleyyij 2024-02-13 15:18:37 -07:00
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@ -70,6 +70,8 @@ Reliable investigators test their conclusions on an independent batch of data
## Goodness of fit tests ($\chi ^2$) ## Goodness of fit tests ($\chi ^2$)
This test is used when you have one qualitative variable with many categories, eg the (color, size, shape) of an (item). This test is used when you have one qualitative variable with many categories, eg the (color, size, shape) of an (item).
$$ \chi ^2 = sum(\frac{(obs_{freq} - exp_{freq})^2}{exp_{freq}}) $$
The $\chi^2$ curve does not follow the normal curve. It has a long right hand tail. As the degrees of freedom go up, the curves flatten out, and the hump moves out to the right. The $\chi^2$ curve does not follow the normal curve. It has a long right hand tail. As the degrees of freedom go up, the curves flatten out, and the hump moves out to the right.
$$ df = num_{terms} - 1 $$ $$ df = num_{terms} - 1 $$