False positives are more numerous because the healthy population is much larger than the diseased population. Even though the false positive rate is low (5%), applying it to a large base (1,980 people) yields a higher absolute count (99) than applying the high sensitivity rate (95%) to a small base (20 people), which yields 19.
Conditions: Prevalence is 1% (20 diseased, 1,980 healthy).; False positive rate is 5%.; Sensitivity is 95%.
False positives are more numerous because the healthy population is much larger than the diseased population. Even though the false positive rate is low (5%), applying it to a large base (1,980 people) yields a higher absolute count (99) than applying the high sensitivity rate (95%) to a small base (20 people), which yields 19.
Conditions: Prevalence is 1% (20 diseased, 1,980 healthy).; False positive rate is 5%.; Sensitivity is 95%.
The model produces 19 true positives and 99 false positives. True positives are calculated from the 20 diseased individuals using the 95% sensitivity, while false positives are calculated from the 1,980 healthy individuals using the 5% false positive rate (derived from 95% specificity).
Conditions: Population size is 2,000.; Prevalence is 1% (20 diseased, 1,980 healthy).; Sensitivity is 95%.; Specificity is 95%.
The model produces 19 true positives and 99 false positives. True positives are calculated from the 20 diseased individuals using the 95% sensitivity, while false positives are calculated from the 1,980 healthy individuals using the 5% false positive rate (derived from 95% specificity).
Conditions: Population size is 2,000.; Prevalence is 1% (20 diseased, 1,980 healthy).; Sensitivity is 95%.; Specificity is 95%.
To calculate the probability of having the disease given a positive test result, you must count the number of true positives and divide it by the total number of positive results (true positives plus false positives). In the model, this involves identifying the 19 true positives out of the 118 total positive tests, yielding approximately 16.1%.
Conditions: Prevalence is 1% in a population of 2,000.; Sensitivity is 95%.; Specificity is 95%.
To calculate the probability of having the disease given a positive test result, you must count the number of true positives and divide it by the total number of positive results (true positives plus false positives). In the model, this involves identifying the 19 true positives out of the 118 total positive tests, yielding approximately 16.1%.
Conditions: Prevalence is 1% in a population of 2,000.; Sensitivity is 95%.; Specificity is 95%.