The channel capacity of a diagnostic test as a function of test sensitivity and test specificity. 2015

William A Benish
Department of Internal Medicine, Louis Stokes Cleveland VA Medical Center and Case Western Reserve University, Cleveland, OH, USA wab4@cwru.edu.

We apply the information theory concept of "channel capacity" to diagnostic test performance and derive an expression for channel capacity in terms of test sensitivity and test specificity. The expected value of the amount of information a diagnostic test will provide is equal to the "mutual information" between the test result and the disease state. For the case in which only two test results and two disease states are considered, mutual information, I(D;R), is a function of sensitivity, specificity, and the pretest probability of disease. The channel capacity of the test is the maximal value of I(D;R) for a given sensitivity and specificity. After deriving an expression for I(D;R) in terms of sensitivity, specificity, and pretest probability, we solve for the value of pretest probability that maximizes I(D;R). Channel capacity is obtained by using this value of pretest probability to calculate I(D;R). Channel capacity provides a convenient and meaningful single parameter measure of diagnostic test performance. It quantifies the upper limit of the amount of information a diagnostic test can be expected to provide about a patient's disease state.

UI MeSH Term Description Entries
D007257 Information Theory An interdisciplinary study dealing with the transmission of messages or signals, or the communication of information. Information theory does not directly deal with meaning or content, but with physical representations that have meaning or content. It overlaps considerably with communication theory and CYBERNETICS. Information Theories,Theories, Information,Theory, Information
D011336 Probability The study of chance processes or the relative frequency characterizing a chance process. Probabilities
D003955 Diagnostic Tests, Routine Diagnostic procedures, such as laboratory tests and x-rays, routinely performed on all individuals or specified categories of individuals in a specified situation, e.g., patients being admitted to the hospital. These include routine tests administered to neonates. Admission Tests, Routine,Hospital Admission Tests,Physical Examination, Preadmission,Routine Diagnostic Tests,Admission Tests, Hospital,Diagnostic Test, Routine,Diagnostic Tests,Examination, Preadmission Physical,Preadmission Physical Examination,Routine Diagnostic Test,Test, Routine Diagnostic,Tests, Diagnostic,Tests, Hospital Admission,Tests, Routine Diagnostic,Admission Test, Hospital,Admission Test, Routine,Diagnostic Test,Examinations, Preadmission Physical,Hospital Admission Test,Physical Examinations, Preadmission,Preadmission Physical Examinations,Routine Admission Test,Routine Admission Tests,Test, Diagnostic,Test, Hospital Admission,Test, Routine Admission,Tests, Routine Admission
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D012680 Sensitivity and Specificity Binary classification measures to assess test results. Sensitivity or recall rate is the proportion of true positives. Specificity is the probability of correctly determining the absence of a condition. (From Last, Dictionary of Epidemiology, 2d ed) Specificity,Sensitivity,Specificity and Sensitivity
D015233 Models, Statistical Statistical formulations or analyses which, when applied to data and found to fit the data, are then used to verify the assumptions and parameters used in the analysis. Examples of statistical models are the linear model, binomial model, polynomial model, two-parameter model, etc. Probabilistic Models,Statistical Models,Two-Parameter Models,Model, Statistical,Models, Binomial,Models, Polynomial,Statistical Model,Binomial Model,Binomial Models,Model, Binomial,Model, Polynomial,Model, Probabilistic,Model, Two-Parameter,Models, Probabilistic,Models, Two-Parameter,Polynomial Model,Polynomial Models,Probabilistic Model,Two Parameter Models,Two-Parameter Model

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