DISCRIMINATION PROCEDURES, SMALL SAMPLE PERFORMANCE
Abstract
The general two population discrimination problem is discussed briefly under various situations. Discrimination procedures using the linear discriminant function and a nonparametric procedure due to J. L. Hodges and E. Fix which classifies a random variable to a population on the basis of assigning it to the population which has the nearest observation to an observed value of the random variable are discussed and compared by computing the probabilities of misclassification for both procedures when the two populations are normal with equal covariance matrices. Probabilities of misclassification are computed for the non parametric discriminator and the linear discriminant function for two small sample sizes for the case when the two populations being discriminated are exponential. Regions are given in terms of the parameters of the two exponential distributions where one of the probabilities or error is greater than 0.5.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1963
- Accession Number
- AD0480895
Entities
People
- Thomas E. Eaton Jr.
Organizations
- Naval Postgraduate School