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Two-Group Classification when Both Groups are Mixtures of Normals

✍ Scribed by R. R. Rawlings; B. I. Graubard; D. S. Rae; M. J. Eckardt; R. S. Ryback

Book ID
101719006
Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
495 KB
Volume
26
Category
Article
ISSN
0323-3847

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✦ Synopsis

I n this paper we consider a two-group discriminant analysis problem where each group is a mixture of two subgroups. Based upon data from a clinical study of alcohol involvement and diseases, simulation experiments were performed for three different configurations of means and COvariance matrices. Expected actual non-error rates are estimated for the linear, quadratic, and kernel discriminant functions for sample sizes 30, 50, 75, 100, 150 and 200. A conclusion of the article is that the kernel discriminant function performs as well as or better than quadratic discriminant function. However, the linear discriminant function was clearly inferior to either the quadratic or kernel discriminant functions.

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A novel kinetic treatment is proposed for the copolymerization of two monomers M~ and M 2 where the reactivities of all terminal groups are susceptible to penultimate group effects. By applying the conditions [Mt]>>[M2] and [MI]<<[M2], as is possible using radiolabelled monomers, values of r I and r