2 way table
A two-way table, also known as a contingency table, is a systematic arrangement of data in rows and columns that displays the relationship between two categorical variables
A two-way table, also known as a contingency table, is a systematic arrangement of data in rows and columns that displays the relationship between two categorical variables. It is used to summarize and analyze the frequency or distribution of data categories for each variable.
A two-way table consists of two variables, referred to as the rows and columns. Each cell in the table represents the frequency or count of a specific combination or outcome of the variables.
For example, let’s consider a scenario where we want to analyze the relationship between gender (male, female) and favorite color (red, blue, green). A two-way table for this example would be:
| Red | Blue | Green |
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Male | 15 | 10 | 5 |
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Female | 10 | 12 | 8 |
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In this table, the rows represent the gender variable (male, female), and the columns represent the favorite color variable (red, blue, green). The numbers in each cell represent the count or frequency of individuals falling into a specific combination of gender and favorite color.
Two-way tables are particularly useful in analyzing and visualizing relationships between categorical variables, allowing us to observe patterns, trends, and associations in the data. They can also be used to calculate various summary statistics, such as row and column totals, marginal frequencies, and proportions.
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