Die Häufigkeit der Fehlklassifikation bei der quadratischen Diskriminanzanalyse

Hildebrandt, Bernd; Michaelis, James; Koller, Siegfried

doi:10.1002/bimj.19730150102

Cited by 6 publications

(1 citation statement)

References 9 publications

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“…Manageable analytical expressions for the allocation probabilities are not yet available, because of the distribution of the log likelihood ratio, a weighted sum of noncentral chi-squared distributions, is difficult to handle; see Fukunaga (1972, ? 3 2) and Hildebrandt et al (1973). Manageable analytical expressions for the allocation probabilities are not yet available, because of the distribution of the log likelihood ratio, a weighted sum of noncentral chi-squared distributions, is difficult to handle; see Fukunaga (1972, ? 3 2) and Hildebrandt et al (1973).…”

Section: Two Populations With Known Multinormal Distributionsmentioning

confidence: 99%

Cases of Doubt in Allocation Problems

Habbema¹,

Hermans²,

Burgt³

1974

Biometrika

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JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. Biometrika Trust is collaborating with JSTOR to digitize, preserve and extend access to Biometrika. SUMMARY Allocation problems can involve elements whose original population is not conclusively indicated by the observation. These elements are called 'cases of doubt'. In this paper a decision-theoretical model for allocation problems admitting cases of doubt is developed. The sampling situation is discussed both from a distribution-free point of view and for multinormal distributions. The theory is illustrated with an example from medical differential diagnosis.

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Section: Two Populations With Known Multinormal Distributionsmentioning

confidence: 99%

Cases of Doubt in Allocation Problems

Habbema¹,

Hermans²,

Burgt³

1974

Biometrika

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Verbessertes Diagnoseverfahren zur Erkennung des Diabetes mellitus

1979

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Based on a sample of 953 subjects without known metabolic abnormalities and a sample of 186 diabetics a classification rule was developed by a quadratic discriminant analysis. The measurements of blood glucose 1 and 2 h after the oral administration of 100 g oligosaccharids are used to classify the patients into the categories of "healthy", "suspect" and "diabetic". The rates of false positive and false negative classification were estimated from a second sample of 128 non-diabetic and 73 diabetics. By administration of 100 g oligosaccharids these rates were found to be 3.1% and 0%, respectively. An analogous study for the administration of 100 g glucose was based on a different sample of N = 472, 99 diabetics included. Misclassification rates were found to be 1.6% and 2.7%, respectively. For practical application of the rules two-dimensional netplanes are given.

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On seismic classification using non-stationary models and a definition of complexity

Dargahi-Noubary

1982

Physics of the Earth and Planetary Interiors

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Die Häufigkeit der Fehlklassifikation bei der quadratischen Diskriminanzanalyse

Abstract: 1 Frau Professor ERNA WEBER zum 75. Geburtstag. 2 Mit Unterstutzuiig der Deutschen Forschungsgemeinschaft 1.

Cited by 6 publications

References 9 publications

Cases of Doubt in Allocation Problems

Cases of Doubt in Allocation Problems

Verbessertes Diagnoseverfahren zur Erkennung des Diabetes mellitus

On seismic classification using non-stationary models and a definition of complexity

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