Which one doesn't belong?

Last week, I asked my students on their homework assignment:

How are the t-distributions similar to the 𝜒² distributions?Their responses were very interesting. It was a great question to get to some of the misconceptions my students had about the t-distributions.

A. The shape is right-skewed.

B. The values are non-negative.

C. The tests are only right-tailed.

D. The parameter is the number of degrees of freedom.

E. The distribution mean is the number of degrees of freedom.

So, this week, I decided to up the ante with this question:

Which one would you choose and why?Which one doesn't belong? (the statistical distributions edition) #statschat @WODBMath— Amy Hogan (@alittlestats) March 4, 2017

Chi square because it is skewed

ReplyDeleteUniform because it has no peak and fixed width

T because it only makes sense when centered at zero

Normal because it has an empirical rule (actually is there something similar for uniform?)

So they all don't belong? Ha.

Delete