Estimation of the random error of binary tests using adaptive polynomials
- Resource Type
- Authors
- Thomas S. Akkerhuis; Tashi P. Erdmann; Jeroen de Mast
- Source
- Journal of Quality Technology. 51:81-93
- Subject
- Estimation
Measurement systems analysis
021103 operations research
Strategy and Management
0211 other engineering and technologies
Binary number
Model parameters
02 engineering and technology
Gold standard (test)
Management Science and Operations Research
01 natural sciences
Industrial and Manufacturing Engineering
010104 statistics & probability
Goodness of fit
Random error
0101 mathematics
Unavailability
Safety, Risk, Reliability and Quality
Algorithm
Mathematics
- Language
- ISSN
- 2575-6230
0022-4065
We investigate how to estimate error probabilities for binary measurements and tests when a gold standard is not available. Recent studies have shown that, without a gold standard, the widely used false-acceptance probability (FAP) and false-rejection probability (FRP) are difficult to estimate. We show by mathematical analysis that this problem is inherent to the unavailability of a gold standard. Instead, the proposed method determines the random components of the error probabilities: the inconsistent acceptance and rejection probabilities IAP and IRP. The method is efficient and robust as the number of model parameters is not predetermined but depends on the goodness of fit.