- #1

Ad VanderVen

- 161

- 11

- TL;DR Summary
- How to deal with a chi square goodness-of-fit test if the number of degrees of freedom is equal to zero?

I have an empirical frequency distribution as for example below:

##f_{2} = \, \, \, 21##

##f_{3} = 111##

##f_{4} = \, \, \, 24##

The theoretical distribution is determined by two parameters. So for a chi-square goodness-of-fit test there are actually no degrees of freedom left. Yet the theoretical distribution deviates from the observed distribution. The fact that there are no degrees of freedom left does not ensure that the theoretical and the observed distribution coincide. Can you still say something about the goodness-of-fit ?

##f_{2} = \, \, \, 21##

##f_{3} = 111##

##f_{4} = \, \, \, 24##

The theoretical distribution is determined by two parameters. So for a chi-square goodness-of-fit test there are actually no degrees of freedom left. Yet the theoretical distribution deviates from the observed distribution. The fact that there are no degrees of freedom left does not ensure that the theoretical and the observed distribution coincide. Can you still say something about the goodness-of-fit ?