Abstract
Several methods of estimating error rates in Discriminant Analysis are evaluated by sampling methods. Multivariate normal samples are generated on a computer which have various true probabilities of misclassification for different combinations of sample sizes and different numbers of parameters. The two methods in most common use are found to be significantly poorer than some new methods that are proposed.
Keywords
Linear discriminant analysisStatisticsMultivariate statisticsDiscriminantOptimal discriminant analysisMathematicsSampling (signal processing)Word error rateSampling errorMultivariate analysisSample size determinationSample (material)Pattern recognition (psychology)Computer scienceArtificial intelligenceObservational error
Affiliated Institutions
Related Publications
Bootstrap Methods: Another Look at the Jackknife
We discuss the following problem: given a random sample $\\mathbf{X} = (X_1, X_2, \\cdots, X_n)$ from an unknown probability distribution $F$, estimate the sampling distribution...
Regression methods for high dimensional multicollinear data
To compare their performance on high dimensional data, several regression methods are applied to data sets in which the number of exploratory variables greatly exceeds the sampl...
Pattern classification and scene analysis
Provides a unified, comprehensive and up-to-date treatment of both statistical and descriptive methods for pattern recognition. The topics treated include Bayesian decision theo...
Model Misspecification and Probabilistic Tests of Topology: Evidence from Empirical Data Sets
Probabilistic tests of topology offer a powerful means of evaluating competing phylogenetic hypotheses. The performance of the nonparametric Shimodaira-Hasegawa (SH) test, the p...
How Many Interviews Are Enough?
Guidelines for determining nonprobabilistic sample sizes are virtually nonexistent. Purposive samples are the most commonly used form of nonprobabilistic sampling, and their siz...
Publication Info
- Year
- 1968
- Type
- article
- Volume
- 10
- Issue
- 1
- Pages
- 1-11
- Citations
- 1480
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
1480
OpenAlex
Cite This
Peter A. Lachenbruch,
M. R. Mickey
(1968).
Estimation of Error Rates in Discriminant Analysis.
Technometrics
, 10
(1)
, 1-11.
https://doi.org/10.1080/00401706.1968.10490530
Identifiers
- DOI
- 10.1080/00401706.1968.10490530