Positive and negative predictive values describe the clinical performance of the diagnostic test when it is applied to a cohort of individuals. Testing non-inferiority of predictive values may be adequate in some cases due to the simplicity of the examination and the invasiveness of the test, but no non-inferiority test for predictive values has been proposed yet. In this study, we propose a non-inferiority test that investigates the non-inferiority of predictive values in paired designs, and formulae for the calculation of sample size to execute the non-inferiority test of two predictive values. Simulation studies showed that the proposed non-inferiority test is useful for comparing two predictive values in clinical trials.