1971
DOI: 10.1016/0021-9681(71)90106-8
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Estimation of the multivariate logistic risk function: A comparison of the discriminant function and maximum likelihood approaches

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Cited by 221 publications
(63 citation statements)
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“…'9 is a linear regression which uses the logarithm of the relative proportion of cases to non-cases as the dependent variable. It is closely related to discriminant analysis, and may be regarded as an extension of discriminant analysis to a broader class of models.20 21 The regression coefficient for each independent variable provides an estimate of the "odds ratio," the ratio between the chance an event will occur when a given factor is present to the chance it will occur when the factor is absent. For example, an odds ratio of 4.95 for the risk factor "No prenatal care" with respect to birthweight less than 2501 grams can be interpreted to mean that if all other factors are the same a woman who has not received prenatal care is about five times as likely to give birth to an infant weighing less than 2501 grams as is a woman who has received some prenatal care.…”
Section: Methodsmentioning
confidence: 99%
“…'9 is a linear regression which uses the logarithm of the relative proportion of cases to non-cases as the dependent variable. It is closely related to discriminant analysis, and may be regarded as an extension of discriminant analysis to a broader class of models.20 21 The regression coefficient for each independent variable provides an estimate of the "odds ratio," the ratio between the chance an event will occur when a given factor is present to the chance it will occur when the factor is absent. For example, an odds ratio of 4.95 for the risk factor "No prenatal care" with respect to birthweight less than 2501 grams can be interpreted to mean that if all other factors are the same a woman who has not received prenatal care is about five times as likely to give birth to an infant weighing less than 2501 grams as is a woman who has received some prenatal care.…”
Section: Methodsmentioning
confidence: 99%
“…commun.). However, in comparison with discriminant fiinction analysis, Brennan et al (1996), Halperin et al (1971), and Press and Wilson (1978) achieved greater group separation (between groups of independent variables associated with different values of the dependent variable) with LR.…”
Section: Analysesmentioning
confidence: 97%
“…Figure 7 gives the expected frequency distribution of plasma cholesterol levels for each of the six apo E phenotypes estimated from the Ottawa study 54 and the risk curve for CAD associated with cholesterol estimated from the Framingham experience. 128 The area under each curve gives the estimated proportion of individuals in the Ottawa population with the corresponding phenotype. The expected risk associated with the average cholesterol level of each phenotype is denoted on the risk curve.…”
Section: Impact Of Apo E On Riskmentioning
confidence: 99%
“…14 used the logistic risk equation from the Framingham study 128 and the Ottawa data 54 presented in Figure 7 to estimate the average risk of CAD associated wtth the e2, e3, and e4 alleles. Their calculations suggest that the subpopulation carrying the e4 allele has an average risk 1.43 times as great as that for the group carrying the e2 allele.…”
Section: Impact Of Apo E On Riskmentioning
confidence: 99%