Conditional relative frequency
Ratio of joint relative frequency to a marginal relative frequency
Conditional relative frequency is a statistical measure used to determine the probability of an event A happening given that another event B has already occurred. It is calculated by dividing the number of times event A happened within event B by the total number of times event B occurred. This measurement is expressed as a percentage and is referred to as a conditional probability.
For example, consider a study that examines the relationship between heart disease and gender. If the study finds that 20 out of 100 women have heart disease, the unconditional probability of heart disease is 20%. However, if the study narrows down and only examines women who smoke, and finds that 10 out of 50 women who smoke have heart disease, the conditional probability of heart disease given smoking is 20%. This means that among women who smoke, 20% have heart disease.
The conditional relative frequency can be calculated using the following formula:
Conditional relative frequency = (number of times event A happened in event B) / (total number of times event B occurred) * 100%
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