Question

A chi-square independence test is to be conducted to decide whether an association exists between two variables of a population. One variable has six possible values, and the other variable has four. What is the degrees of freedom for the ${\chi }^2$statistic?

Short answer

One variable has six possible values, and the other variable has four. The deggres of freedom is$15$

Step-by-step solution

Step 1. Given Information.

One variable has six possible values, and the other variable has four.

Step 2. To find the degrees of freedom.

From the given information,

$$\begin{gathered} df=(r-1)(c-1) \\ =(6-1)(4-1) \\ =\left(5\right)3 \\ =15 \end{gathered}$$

So the degree of freedom is$15$.