Probability > Conditional Relative Frequency
You might find it helpful to read this article first: What is a two way table?
What is Conditional Relative Frequency?
In a contingency table (sometimes called a two way frequency table or crosstabs), conditional relative frequency is it’s a fraction that tells you how many members of of a group have a particular characteristic. More technically, it is the ratio of a frequency in the center of the table to the frequency’s row total or column total.
A two way frequency table is a special type of frequency table that shows relationships between two categories. For example, the following table shows the relationships between the categories “sex” and “type of movies preferred.”
Question: The following contingency table shows the likelihood a person in a certain type of accommodation owns a pet. What is the conditional relative frequency for owning a pet, given that the person lives in a house?
Solution: The person of interest lives in a house, so use the figures from that column.
- The intersection of “House” and “Yes” is 2. This means that two people who live in a house own pets.
- The total number of people who live in houses is 18.
Question: What is the probability that a pet owner lives in an apartment?
Solution: This time, we’re looking at the “yes” row for pets.
The number of people who live in an apartment and own a pet is 4. The total number of people who own pets is 9. That gives us: 4/9.
Other two-way table articles you might find useful:
Confused and have questions? Head over to Chegg and use code “CS5OFFBTS18” (exp. 11/30/2018) to get $5 off your first month of Chegg Study, so you can understand any concept by asking a subject expert and getting an in-depth explanation online 24/7.
Comments? Need to post a correction? Please post a comment on our Facebook page.