2019
DOI: 10.1007/s10985-019-09483-z
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Special issue dedicated to Odd O. Aalen

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Cited by 2 publications
(6 citation statements)
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“…Briefly, we implemented and extended a previously published construction of the longitudinal care continuum [18] to accommodate late entries to the analysis (patients who transferred care having already initiated ART elsewhere) under the assumption that late entries are not informative [23,24]. We estimated the cumulative incidence of the following nine events (different from the seven stages) nonparametrically using the Aalen-Johansen estimator [25][26][27]. Events were not of interest in and of themselves, but represent transitions between the stages.…”
Section: Discussionmentioning
confidence: 99%
“…Briefly, we implemented and extended a previously published construction of the longitudinal care continuum [18] to accommodate late entries to the analysis (patients who transferred care having already initiated ART elsewhere) under the assumption that late entries are not informative [23,24]. We estimated the cumulative incidence of the following nine events (different from the seven stages) nonparametrically using the Aalen-Johansen estimator [25][26][27]. Events were not of interest in and of themselves, but represent transitions between the stages.…”
Section: Discussionmentioning
confidence: 99%
“…A number of works in this field have focused on the predictions task and provided equations to calculate (conditional or not) probabilities of interest from the (estimated) transition hazards. [23][24][25][26][27] Let us denote the time to enter the intermediate event D as T Ã D and the time of the clinical event of interest as T Ã E . We are interested in estimating the marginal survival function of T Ã E , that we will express as S T Ã E tjarm ð Þ, as this function characterizes the probability distribution of T Ã E regardless of whether or not the subject has stopped by state D along the way.…”
Section: Calculating the Survival Function Of Interestmentioning
confidence: 99%
“…E as a valid hazard function as defined in survival analysis without competing events. We can do that because, when a subject is at state D, there are no future transitions competing with the transition to E. 27 We note that Equations (3), ( 5), and ( 6) are particular cases of eqs. ( 34), (31), and (29), respectively, from the work of Putter, Fiocco, and Geskus, as here we do not condition on results up to an interim data point s (with 0 ≤ s < t) but set s ¼ 0.…”
Section: Calculating the Survival Function Of Interestmentioning
confidence: 99%
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