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Use of the tetrachoric correlation model in assessing clinical tests
Author(s) -
Bennett B. M.
Publication year - 1980
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710220406
Subject(s) - categorical variable , contingency table , bivariate analysis , statistics , polychoric correlation , mathematics , correlation coefficient , equivalence (formal languages) , correlation , econometrics , geometry , discrete mathematics
Categorical data on n patients are classified according to the results on an initial clinical test T , and also with respect to a subsequent and definitive diagnosis D. In this paper the sensitivity (=), specificity (=) and predictive values (= v ) are discussed with reference to the tetrachoric correlation model based on the bivariate normal density (e.g. PEARSON, 1901; KENDALL and STUART, 1972, II, p. 317). The result of HAMDAN (1970) concerning the equivalence of the tetrachoric r t and the maximum likelihood estimate of the correlation coefficient is utilized in this paper to obtain a test of significance concerning r t , and also the relation between the tetrachoric function w and the relative risk ψ for the 2X2 table.