Conditional relative frequency
Conditional relative frequency refers to the probability of an event occurring, given that another event has already occurred
Conditional relative frequency refers to the probability of an event occurring, given that another event has already occurred. It is used to calculate the likelihood of an outcome, considering a specific condition or context.
To calculate the conditional relative frequency, you need to divide the number of times the events of interest co-occur by the total number of times the given condition is satisfied. This can be expressed as:
Conditional relative frequency = (Number of times events of interest co-occur)/(Total number of times given condition is satisfied)
Let’s understand this concept with an example:
Suppose you have conducted a survey among 100 people about their favorite ice cream flavors and their gender. The results are as follows:
– 40 people like chocolate ice cream, 20 of them are males.
– 30 people like vanilla ice cream, 15 of them are males.
Now, let’s calculate the conditional relative frequency of liking chocolate ice cream given that the person is male. In this case, the number of times the events of interest (chocolate ice cream and being male) co-occur is 20, and the total number of times the given condition (being male) is satisfied is 50.
Conditional relative frequency of liking chocolate ice cream given that the person is male = 20/50 = 0.4 or 40%
This means that among males, the probability of liking chocolate ice cream is 40%.
Conditional relative frequency allows us to analyze and understand the relationship between two variables, providing insights into how one variable affects the likelihood of the other variable occurring.
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