Question

A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. The results are shown in the Table.

$\begin{array}{|lll|}\hline \text{Group A}& \text{Group B}& \text{Group C}\\ 101& 151& 101\\ 108& 149& 109\\ 98& 160& 198\\ 107& 112& 186\\ 111& 126& 160\\ \hline\end{array}$

What is the $df\left(denom\right)$?

Short answer

The $df$ for the denominator is$12$.

Step-by-step solution

Given Information

A video game developer is testing a new game on three different groups. Sample from each group is

$\begin{array}{|lll|}\hline \text{Group A}& \text{Group B}& \text{Group C}\\ 101& 151& 101\\ 108& 149& 109\\ 98& 160& 198\\ 107& 112& 186\\ 111& 126& 160\\ \hline\end{array}$

Explanation

The equation for errors within samples (dfs for the denominator):

$d{f}_{\text{within}}=n-k$, where

$n=$total number of all the values combined

$k=$the number of different groups

Final Answer

In our Example $n=15,k=3$, so

${\mathbf{df}}_{\text{within}}=15-3=\mathbf{12}$

Therefore, The $df$for the denominator is$12$.