Two-way tables
Definition
Two-way tables are used to organize and display categorical data. They show the relationship between two different variables by listing the categories of each variable and counting the number of observations that fall into each combination.
Analogy
Think of a two-way table as a spreadsheet with rows and columns. Just like how you can use a spreadsheet to organize and analyze data, a two-way table helps us see patterns and relationships between different categories.
Related terms
Joint probabilities: Joint probabilities refer to the probability of two events happening at the same time. In a two-way table, joint probabilities are calculated by dividing the count in each cell by the total count.
Conditional probabilities: Conditional probabilities are the likelihood of an event occurring given that another event has already occurred. In a two-way table, conditional probabilities can be calculated by dividing each cell count by its corresponding row or column total.
Marginal distributions: Marginal distributions in a two-way table represent the totals for each category across one variable. They provide information about individual variables without considering their relationship with other variables.
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