2008
DOI: 10.1002/sim.3194
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The Biplot as a diagnostic tool of local dependence in latent class models. A medical application

Abstract: Latent class models (LCMs) can be used to assess diagnostic test performance when no reference test (a gold standard) is available, considering two latent classes representing disease or non-disease status. One of the basic assumptions in such models is that of local or conditional independence: all indicator variables (tests) are statistically independent within each latent class. However, in practice this assumption is often violated; hence, the two-LCM fits the data poorly. In this paper, we propose the use… Show more

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Cited by 22 publications
(20 citation statements)
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“…Indeed, in the context of sparse data (many profiles with low frequencies), results with the asymptotic distribution may not apply and only those obtained with empirical distributions are recommended [12, 2224, 36]. The empirical distribution was obtained by generating a large number of samples ( n = 500) from the null assumption and computing the corresponding statistic; the P -value was deduced from the quantile which corresponded to the statistic in the observed sample.Pairwise residual correlations and bivariate residual statistics were calculated to detect potential residual dependences between pairs of diagnostic tests that were not correctly taken into account [10, 12, 24, 37]. Leave-one-test-out analyses were performed by removing one by one each immunoenzymatic test in order to assess their influence on the diagnostic accuracy of the other medical tests [14].…”
Section: Methodsmentioning
confidence: 99%
“…Indeed, in the context of sparse data (many profiles with low frequencies), results with the asymptotic distribution may not apply and only those obtained with empirical distributions are recommended [12, 2224, 36]. The empirical distribution was obtained by generating a large number of samples ( n = 500) from the null assumption and computing the corresponding statistic; the P -value was deduced from the quantile which corresponded to the statistic in the observed sample.Pairwise residual correlations and bivariate residual statistics were calculated to detect potential residual dependences between pairs of diagnostic tests that were not correctly taken into account [10, 12, 24, 37]. Leave-one-test-out analyses were performed by removing one by one each immunoenzymatic test in order to assess their influence on the diagnostic accuracy of the other medical tests [14].…”
Section: Methodsmentioning
confidence: 99%
“…The HCI in some medical problems may not be a realistic assumption, for example, when the two tests are based on a similar biological phenomenon (e.g. [20], [31]). The diagnostic of local dependence has been discussed by several authors [31][35] and different methods have been proposed.…”
Section: Methodsmentioning
confidence: 99%
“…[20], [31]). The diagnostic of local dependence has been discussed by several authors [31][35] and different methods have been proposed. Among others, Hagenaars [32] suggests the analysis of the standardized residuals for each pair of manifest variables.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Un aporte importante es la utilización de los métodos Biplot basados en Modelos Lineales Generalizados, para diagnosticar la dependencia local en un Modelo de Clases Latentes (SEPÚLVEDA et al, 2008).…”
Section: _______________________________ Introducción _______________unclassified