Understanding 2-Way Frequency Tables | Examining Relationships Between Categorical Variables

2-way frequency table

A 2-way frequency table, also known as a contingency table, is a table that displays the counts or frequencies of two categorical variables

A 2-way frequency table, also known as a contingency table, is a table that displays the counts or frequencies of two categorical variables. It is used to examine the relationship between these variables by organizing the data into rows and columns.

In a 2-way frequency table, the categories for one variable are listed on the rows, and the categories for the other variable are listed on the columns. The cells of the table represent the counts or frequencies of occurrences for each combination of categories.

For example, let’s say we have two categorical variables: Gender (male or female) and Favorite Color (red, blue, or green). A 2-way frequency table can be constructed to show the number of males and females who prefer each color. The table might look like this:

| Red | Blue | Green |
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Male | 10 | 5 | 8 |
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Female | 6 | 7 | 3 |
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From this table, we can observe the frequency distribution of the combinations of gender and favorite color. For example, there are 10 males who prefer red, 7 females who prefer blue, and so on.

2-way frequency tables are often used in statistical analysis and hypothesis testing to investigate the association between two categorical variables. They allow us to compare the distribution of one variable across different categories of another variable, revealing patterns and relationships in the data.

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