1996
DOI: 10.1111/j.1467-842x.1996.tb00365.x
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Chance of Misclassification in the Case of Several Normal Populations

Abstract: SUMMARY When a new observation is to be classified into one of several multivariate normal populations with different means and the same covariance matrix, by Rao's method of scoring, the chance of misclassification is expressed as a multiple integral. This paper gives a practical method of obtaining reasonable approximations to this integral by using tables prepared by Gibbons, Olkin & Sobel (1977) for a different task.

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Cited by 3 publications
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“…Further Reading Huberty (1984) mentions some indices that may be considered as alternatives to I in (16.7); a reference dealing with a statistical test for the I index is also given. Park and Kshirsagar (1996) discuss "chance" classification in a (mathematical) context different from our context. Press (1972 p. 773) presents a χ 2 (1) statistic for testing the hypothesis of chance classification; this statistic is a special case of the square of (16.4) when a chance proportion of correct classifications is 1/J .…”
Section: Technical Notesmentioning
confidence: 98%
“…Further Reading Huberty (1984) mentions some indices that may be considered as alternatives to I in (16.7); a reference dealing with a statistical test for the I index is also given. Park and Kshirsagar (1996) discuss "chance" classification in a (mathematical) context different from our context. Press (1972 p. 773) presents a χ 2 (1) statistic for testing the hypothesis of chance classification; this statistic is a special case of the square of (16.4) when a chance proportion of correct classifications is 1/J .…”
Section: Technical Notesmentioning
confidence: 98%