In medical sciences, the reference range for diagnostic test results, here PSA, is important and commonly defined as the interval between the 2.5th and 97.5th percentiles of the test value distribution in an apparently healthy population14. Presuming a normal distribution for Ln(PSA) in non-diseased individuals and given the mean and SD of the distribution (μ1 and σ1) for each age group, the reference range was calculated as μ1 ± 1.96 σ1.

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