title: Average of delta: a new quality control tool for clinical laboratories.
abstract: BACKGROUND
  Average of normals is a tool used to control assay performance using the average of a series of results from patients' samples. Delta checking is a process of identifying errors in individual patient results by reviewing the difference from previous results of the same patient. This paper introduces a novel alternate approach, average of delta, which combines these concepts to use the average of a number of sequential delta values to identify changes in assay performance.
  
  
  METHODS
  Models for average of delta and average of normals were developed in a spreadsheet application. The model assessed the expected scatter of average of delta and average of normals functions and the effect of assay bias for different values of analytical imprecision and within- and between-subject biological variation and the number of samples included in the calculations. The final assessment was the number of patients' samples required to identify an added bias with 90% certainty.
  
  
  RESULTS
  The model demonstrated that with larger numbers of delta values, the average of delta function was tighter (lower coefficient of variation). The optimal number of samples for bias detection with average of delta was likely to be between 5 and 20 for most settings and that average of delta outperformed average of normals when the within-subject biological variation was small relative to the between-subject variation.
  
  
  CONCLUSIONS
  Average of delta provides a possible additional assay quality control tool which theoretical modelling predicts may be more valuable than average of normals for analytes where the group biological variation is wide compared with within-subject variation and where there is a high rate of repeat testing in the laboratory patient population.
authors: Department of Chemical Pathology, SydPath, St Vincent's Hospital, Sydney, Australia graham.jones@svha.org.au.
authors: Graham R D
authors: GR
authors: Jones
mesh_terms: D019411:Clinical Laboratory Techniques / Q000379:methods*; D006801:Humans; D019300:Medical Errors / Q000517:prevention & control; D011786:Quality Control; D013223:Statistics as Topic / Q000379:methods*
keywords: Assay quality control; laboratory statistics; patients’ samples