# How is a two-way table used when determining possible associations between two different categories from the same sample group?

How is a two-way table used when determining possible associations between two different categories from the same sample group?
You can still ask an expert for help

## Want to know more about Two-way tables?

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Maciej Morrow

By comparing two way relative frequency table, we can comment if there is association between the two different categories. To understand, consider the following two-way relative frequency table given in example 2 on page 691:
$\begin{array}{|cccc|}\hline & \text{MP3 player}& \text{No MP3 player}& \text{Total}\\ \text{Cell phone}& 0.73& 0.27& 1\\ \text{Cell phone}& 0.59& 0.41& 1\\ \hline\end{array}$
As 0.73>0.59 one is more likely to have MP3 player when he has cell phone compared to when he has no cell phone. In other words, there is positive association in having call phone and MP3 player. By comparing two way relative frequency table , we can comment if there is association between the two different categories