Using decision theory to derive optimal cut-off scores of screening instruments: an illustration explicating costs and benefits of mental health screening

Int J Methods Psychiatr Res. 2007;16(4):219-29. doi: 10.1002/mpr.230.

Abstract

This paper shows how decision theory can be used to determine optimal cut-off scores on mental health screeners. The procedure uses (a) the costs and benefits of correct and erroneous decisions, and (b) the rates of correct and erroneous decisions as a function of the cut-off score. Using this information, for each cut-off point expected costs are calculated. The cut-off point with the lowest expected costs is the optimal cut-off score. An illustration is given in which the General Health Questionnaire is employed as a major depression screener. Optimal cut-off points are determined for four different contexts: patients, health service providers, society, and mental health researchers. As in these four situations different costs are encountered, different optimal cut-off points were found.

MeSH terms

  • Activities of Daily Living
  • Bias
  • Cost-Benefit Analysis
  • Decision Theory*
  • Depressive Disorder, Major / economics
  • Depressive Disorder, Major / epidemiology
  • Depressive Disorder, Major / psychology
  • Disability Evaluation
  • Humans
  • Mass Screening / economics*
  • Mental Disorders / diagnosis
  • Mental Disorders / economics*
  • Mental Disorders / epidemiology*
  • Mental Disorders / psychology
  • Observer Variation
  • Personality Inventory / statistics & numerical data*
  • Psychometrics / statistics & numerical data
  • Quality of Life
  • ROC Curve
  • Surveys and Questionnaires