Goodness of Fit Test

Used to check whether a set of observed categorical data follows a theoretical distribution such as uniform or Poisson.

Hypotheses

$H_0 : \text{Data follow the specified distribution.}$

$H_1 : \text{Data do not follow the specified distribution.}$

Degrees of freedom

Here:

• $k$: number of non-empty classes
• $p$: number of estimated parameters

Test Statistic