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Two-Way Table

Definition

A two-way table organizes categorical data for two variables and shows how they are related to each other.

Analogy

Picture a seating chart for a school dance. The two-way table would display rows representing boys and columns representing girls, showing which boy is paired with which girl for their dance partners.

Related terms

Marginal Distribution: The marginal distribution shows the frequencies or proportions for one variable in a two-way table without considering the other variable.

Conditional Distribution: The conditional distribution shows how one variable varies depending on another variable in a two-way table.

Chi-Square Test: A chi-square test is a statistical test used to determine if there is a significant association between two categorical variables in a two-way table.

"Two-Way Table" appears in:

Practice Questions (6)

  • What is the purpose of calculating expected counts in a two-way table?
  • Expected counts in a two-way table are based on:
  • When calculating expected counts in a two-way table, what does "n" represent?
  • Expected counts in a two-way table are calculated by:
  • From a two-way table, how can we determine if two categorical variables are associated or not?
  • Using the following two-way table, what is the conditional relative frequency of cat lovers given that they are female? | | Dogs | Cats | Total | |---------|------------|------------|-------| | Female | 100 | 200 | 300 | | Male | 150 | 250 | 400 | | Total | 250 | 450 | 700 |


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© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.