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The Michael Shermer Show cover image

Everything is Predictable: How Bayesian Statistics Explain Our World

The Michael Shermer Show

NOTE

Understanding Probabilities in Medical Tests and Background Rates: A Deep Dive

Probability calculations in medical tests involve considering the background rates of diseases and the accuracy of the test. Neglecting base rates can lead to incorrect conclusions, as seen in the example where the correct answer of the likelihood of having cancer was 9%, not 80-90% as commonly assumed. Considering false positive and false negative rates alongside the prevalence of a disease is crucial for accurate interpretations of test results. An intuitive way to understand this concept is by applying it to scenarios like pregnancy tests or rare diseases, where background rates significantly impact the interpretation of test outcomes.

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