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In fact, we used a two-component mixture of logistic regression.
Our primary aim in this paper was to apply the "covariate density defined mixture of logistic regressions" (CDDmlr) method to test the Wilcox-Russell hypothesis with respect to a continuous covariate, in this case maternal age.
= European; Af. = African; Am. = American; F. = females; M. = males CDR = Crude death rate (death per 1000 births) Covariate Density Defined mixture of logistic regressions (CDDmlr), while a generally applicable statistical procedure, was specifically designed to test the Wilcox-Russell hypothesis [ 8].
A two-component Covariate Density Defined mixture of logistic regressions model is used to decompose racial disparities, 1) into disparities due to "normal" versus "compromised" components of the birth cohort, and 2) further decompose these components into indirect effects, which are associated with birth weight, versus direct effects, which are independent of birth weight.
An initial quantitative statistical test of the Wilcox-Russell [ 2, 4, 5] and Hernández-Diaz et al. [ 6] hypotheses using Covariate Density Defined mixture of logistic regressions (CDDmlr) with maternal age as a stressor supports the argument that birth weight is not on the causal pathway to infant mortality for either "normal" or the remaining "compromised" births [ 8].
In this paper, the authors use the "covariate density defined mixture of logistic regressions" method to formally test the Wilcox-Russell hypothesis that a covariate which influences birth weight, in this case maternal age, can influence infant mortality directly but not indirectly through birth weight.
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We begin by generalizing Gage's parametric mixtures of logistic regressions (PMLR) technique [ 7] to accommodate a normal mixture model with more than two components.
Gage also formulated a parametric mixtures of logistic regressions (PMLR) technique to evaluate heterogeneity in mortality associated with this dichotomy [ 24].
Gage developed a parametric mixtures of logistic regressions (PMLR) technique to estimate mortality risk as a function of birthweight within each of two components in a normal mixture model describing a birthweight distribution [ 7].
ELBW: extremely low birthweight; FLIC Flexible Information Criterionn; HBW: high birthweight; IUGR: intrauterine growth restriction; MLBW: moderately low birthweight; NBW: normal birthweight; NCHS National Center for Health Statisticss; PMLR: parametric mixtures of logistic regressions; VLBW: very low birthweight The authors declare that they have no competing interests.
These results also overwhelmingly support a log-logistic distribution; in this case a mixture of two log-logistic distributions accurately capture the bimodal distribution commonly observed in temperate zone epidemiology.
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