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Methods Inf Med 1981; 20(04): 207-212
DOI: 10.1055/s-0038-1635316
Original Article
Schattauer GmbH

Use of Posterior Probabilities to Evaluate Methods of Discriminant Analysis

SCHÄTZUNG VON A-POSTERIORI-WAHRSCHEINLICHKEITEN IN DER DISKRIMINANZ-ANALYSE
J. Hermans
1   From the Department of Medical Statistics, the Department of Physiology and Physiological Physics, State University of Leiden, and the Department of Public Health and Social Medicine, Erasmus University, Rotterdam, The Netherlands
,
B. van Zomeren
1   From the Department of Medical Statistics, the Department of Physiology and Physiological Physics, State University of Leiden, and the Department of Public Health and Social Medicine, Erasmus University, Rotterdam, The Netherlands
,
J. W. Raatgever
1   From the Department of Medical Statistics, the Department of Physiology and Physiological Physics, State University of Leiden, and the Department of Public Health and Social Medicine, Erasmus University, Rotterdam, The Netherlands
,
P. J. Sterk
1   From the Department of Medical Statistics, the Department of Physiology and Physiological Physics, State University of Leiden, and the Department of Public Health and Social Medicine, Erasmus University, Rotterdam, The Netherlands
,
J. D. F. Habbema
1   From the Department of Medical Statistics, the Department of Physiology and Physiological Physics, State University of Leiden, and the Department of Public Health and Social Medicine, Erasmus University, Rotterdam, The Netherlands
› Author Affiliations
Further Information

Publication History

Publication Date:
14 February 2018 (online)

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By means of a case study the choice between several methods of discriminant analysis is presented. Experimental data of a two-groups problem with one or two variables is analysed. The different methods are compared according to posterior probabilities which can be computed for each subject and which are the basis of discriminant analysis. These posterior probabilities are analysed graphically as well as numerically.

Anhand einer Fallstudie wird beschrieben, wie unter mehreren Diskriminanzanalysemethoden ausgewählt werden kann. Dabei werden experimentelle Daten eines Zwei-Gruppen-Problems mit einem bzw. zwei Parametern analysiert. Mittels der A-posteriori-Wahrscheinlichkeiten werden verschiedene Methoden verglichen, die für jeden einzelnen Fall berechnet werden können und die den Ausgangspunkt jeder Dis-kriminanzanalyse bilden. Diese A-posteriori-Wahrscheinlichkeiten werden sowohl mit graphischen als auch mit numerischen Methoden analysiert.

Key-Words:

Linear Discriminant Analysis - Quadratic Discriminant Analysis - Discrimination with Kernel Methods - Posterior Probabilities - Error Rate - Penalty Scores

Schlüssel-Wörter:

Lineare Diskriminanzanalyse - quadratische Diskriminanzanalyse - Kernmethoden - A-posteriori-Wahrscheinlichkeiten - Fehlerraten - Strafpunkte
 

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