Skip to main content

Table 5 Simulation results based on 1000 data sets with sample size of 25 -- Per cent censoring (25%, 25%)

From: Assessing the agreement of biomarker data in the presence of left-censoring

Per cent censoring True ρ True ρ c Method Mean ρ ^ c Relative bias (%) Empirical SD Mean SE The percentage of 95% confidence intervals that include true value of CCC
(25%, 25%) 0.25 0.238 1. Delete the pair 0.1300 −45.38 0.2287 0.2002 85.7
    2. Replace by LOD 0.2159 −9.29 0.2176 0.1563 84.1
    3. Replace by 0.5 × LOD 0.1821 −23.49 0.2280 0.1550 78.5
    4. Replace by c × LOD 0.1897 −20.29 0.2215 0.1552 78.4
    5. ML 0.2225 −6.51 0.1905 0.1783 93.1
  0.50 0.476 1. Delete the pair 0.2862 −39.87 0.2088 0.1853 83.4
    2. Replace by LOD 0.3963 −16.74 0.2030 0.1356 83.1
    3. Replace by 0.5 × LOD 0.3538 −25.67 0.2277 0.1372 76.3
    4. Replace by c × LOD 0.3642 −23.49 0.2105 0.1372 78.7
    5. ML 0.4496 −5.55 0.1650 0.1526 93.3
  0.75 0.714 1. Delete the pair 0.4850 −32.07 0.1951 0.1489 77.3
    2. Replace by LOD 0.6031 −15.53 0.2122 0.0960 83.5
    3. Replace by 0.5 × LOD 0.5467 −23.43 0.2545 0.0984 77.0
    4. Replace by c × LOD 0.5436 −23.87 0.2700 0.0991 77.6
    5. ML 0.6897 −3.40 0.1136 0.1027 92.1
  1. Abbreviations: LLD Lower Limit of Detection, ML Maximum Likelihood, C = Random number from uniform distribution (0, 1), CI confidence interval, Relative bias = Mean ρ ^ c True ρ c True ρ c ×100%, CCC5= ρ c = 2 COV X , Y VAR X + VAR Y + E X E Y 2 .