Two-Way Table

A two-way table is a way of organizing and displaying data to show the relationship between two categorical variables. It is often used to summarize and compare the frequency or proportion of observations that fall into certain categories for both variables. The rows of the table represent one variable, while the columns represent the other variable. Two-way tables are commonly used in statistics to analyze and interpret data.

Example of a Two-Way Table:

Here's an example of a two-way table that shows the favorite fruit choices of students based on their gender:

Study Guide:

• Understand the variables: Make sure you understand the two categorical variables being compared in the two-way table.
• Interpret the table: Analyze the table to understand the frequency or proportion of observations in each category for both variables.
• Calculate totals: Calculate the row and column totals to understand the overall distribution of the data.
• Identify patterns: Look for patterns or trends in the data to draw conclusions about the relationship between the two variables.
• Use percentages: Convert the frequencies to percentages to compare the relative frequencies of the categories.

Understanding how to create, interpret, and analyze a two-way table is an important skill for analyzing categorical data and making inferences about the relationship between two variables.