Question

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

Two-way tables
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asked 2021-06-14
How is a two-way table used when determining possible associations between two different categories from the same sample group?

Answers (1)

2021-06-15
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:
MP3 player No MP3 player Total
Cell phone 0.73 0.27 1
No cell phone 0.59 0.41 1
As U./5 > U.o9, one Is morelikely to have MI's player when he has cell phone compared to when he has no cell phone. In other words, there is positive association in having cell phone and MP3 player.
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How is a two-way table used when determining possible associations between two different categories from the same sample group?
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\(\begin{array}{|c|c|}\hline \text{Shoe Size (in cm)} & \text{Gender (M of F)} \\ \hline 25.7 & M \\ \hline 25.4 & F \\ \hline 23.8 & F \\ \hline 25.4 & F \\ \hline 26.7 & M \\ \hline 23.8 & F \\ \hline 25.4 & F \\ \hline 25.4 & F \\ \hline 25.7 & M \\ \hline 25.7 & F \\ \hline 23.5 & F \\ \hline 23.1 & F \\ \hline 26 & M \\ \hline 23.5 & F \\ \hline 26.7 & F \\ \hline 26 & M \\ \hline 23.1 & F \\ \hline 25.1 & F \\ \hline 27 & M \\ \hline 25.4 & F \\ \hline 23.5 & F \\ \hline 23.8 & F \\ \hline 27 & M \\ \hline 25.7 & F \\ \hline \end{array}\)
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