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Dans le cadre des analyses des données de survie, la comparaison de plusieurs groupes d’individus, où l'événement d'intérêt est censuré par intervalle, représente un défi méthodologique. Lorsque le suivi des patients au cours de l'étude n'est pas continu, l'événement d'intérêt pourra survenir entre deux dates d'observation; il est dit censuré par intervalle. Des tests de comparaisons des distributions des temps de survie pour plusieurs groupes, adaptés à la censure par intervalle, ont été développés (tests du score, tests de pseudo log-rank pondérés, tests des rangs). C’est dans ce contexte que nous avons proposé deux nouveaux tests de comparaisons de groupes adaptés à des situations particulières de censure par intervalle. Le premier test concerne une situation où l’hypothèse alternative considère que les fonctions de risque instantané se croisent. Le second test concerne une situation où la population étudiée comporte une fraction non à risque pour l’événement d’intérêt. Ces deux tests ont fait l'objet d'une application sur des données réelles d'immunologie clinique. / In the context of analysis of survival data, the comparison of several groups of individuals, where the event of interest is interval censored, represents a methodological challenge. When the monitoring of patients during the study is not continuous, the event of interest may occur between two observation dates; it is said "interval censored". Tests of comparisons of survival time distributions for several groups, adapted for interval censoring, have been developed (score tests, weighted pseudo log-rank tests, rank tests). In this context, we have developped two new group comparison tests adapted to the particular situations of interval censoring. The first test apply to a situation where the alternative hypothesis considers that the hazard functions cross. The second test concerns a situation where the study population has a fraction not at risk for the event of interest. Both of these tests have been applied to real clinical immunology dataset.

Made available in DSpace on 2016-06-02T20:06:04Z (GMT). No. of bitstreams: 1 3137.pdf: 2333509 bytes, checksum: 17d0f072d443263a81b8c895dc712a3b (MD5) Previous issue date: 2010-03-05 / Financiadora de Estudos e Projetos / In this work, we brie_y introduce the concepts of long-term survival analysis. We dedicated ourselves exclusively to the standard mixture cure model from Boag (1949) and Berkson & Gage (1952), showing its deduction and presenting the imunes probability function, which is taken from the model itself and we investigated the identi_ability issues of the mixture model. Motivated by the possibility that a experiment design can lead to a biased sample selection, we studied the weighted probability distributions, more speci_cally the weighted exponential distributions family and its properties. We studied two distributions that belong to this family; namely, the length biased exponential distribution and the beta exponential distribution. Using the GAMLSS package in R, we made some simulation studies intending to evidence the bias that occur when the possibility of a weighted sample is ignored. / Neste trabalho apresentamos brevemente os conceitos que de_nem a análise de sobreviv ência de longa duração. Dedicamo-nos exclusivamente ao modelo de mistura padrão de Boag (1949) e Berkson & Gage (1952), sendo que nos preocupamos com sua formulação, apresentamos a função probabilidade de imunes, que é derivada do próprio modelo e investigamos a questão da identi_cabilidade. Motivados pela possibilidade de que um planejamento experimental leve a uma seleção viciada da amostra, estudamos as distribui ções ponderadas de probabilidade, mais especi_camente a família das distribuições exponenciais ponderadas e suas propriedades. Estudamos duas distribuições pertencentes a essa família, a distribuição exponencial length biased e a distribuição beta exponencial. Fazendo uso do pacote GAMLSS em R, realizamos alguns estudos de simulação com o intuito de evidenciar o erro cometido quando se ignora a possibilidade de que a amostra seja proveniente de uma distribuição ponderada.