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THE INFLUENCE OF OBSERVATIONS ON MISCLASSIFICATION PROBABILITY ESTIMATES IN LINEAR DISCRIMINANTANALYSIS
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UNSPECIFIED. (1991) THE INFLUENCE OF OBSERVATIONS ON MISCLASSIFICATION PROBABILITY ESTIMATES IN LINEAR DISCRIMINANTANALYSIS. BIOMETRIKA, 78 (3). pp. 677690. ISSN 00063444
Full text not available from this repository.Abstract
The influence of observations upon misclassification probability estimates in linear discriminant analysis is examined. For a single observation, an exact expression is given confirming two surprising results of Campbell (1978). It also shows that the influence of an observation is governed by two quantities: (a) the difference between its linear discriminant score and that for its sample mean, and (b) its atypicality estimate for its own population. This is analogous to linear model results where an observation's influence depends upon its residual and its leverage. However, important differences from the regression situation are noted. Contours of this oneatatime influence can be superimposed on the plot introduced by Critchley & Ford (1985). Examining the joint influence of several observations is complicated by the computational burden and by possible masking effects. A quadratic approximation is developed for this problem using Pregibon's (1981) case weights scheme. This approximation has an error of order n3, where n denotes the assumed common order of the sample sizes. An example is given.
Item Type:  Journal Article  

Subjects:  Q Science > QH Natural history > QH301 Biology Q Science > QA Mathematics 

Journal or Publication Title:  BIOMETRIKA  
Publisher:  BIOMETRIKA TRUST  
ISSN:  00063444  
Official Date:  September 1991  
Dates: 


Volume:  78  
Number:  3  
Number of Pages:  14  
Page Range:  pp. 677690  
Publication Status:  Published  
URI:  http://wrap.warwick.ac.uk/id/eprint/22448 
Data sourced from Thomson Reuters' Web of Knowledge
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