As pesquisas científicas na área da Psiquiatria freqüentemente avaliam características subjetivas de indivíduos como, por exemplo, depressão, ansiedade e fobias. Os dados são coletados através de questionários, cujos itens tentam identificar a presença ou ausência de certos sintomas associados à morbidade psiquiátrica de interesse. Alguns desses itens, entretanto, podem provocar constrangimento em parte dos indivíduos respondedores por abordarem características ou comportamentos socialmente questionáveis ou, até, ilegais. Um modelo da teoria de resposta ao item é proposto neste trabalho visando diferenciar a relação entre a probabilidade de presença do sintoma e a gravidade da morbidade de indivíduos constrangidos e não constrangidos. Itens que necessitam dessa diferenciação são chamados \\textbf{itens com comportamento diferencial}. Adicionalmente, o modelo permite assumir que indivíduos constrangidos em responder um item possam vir a mentir em suas respostas, no sentido de omitir a presença de um sintoma. Aplicações do modelo proposto a dados simulados para questionários com 20 itens mostraram que as estimativas dos parâmetros são próximas aos seus verdadeiros valores. A qualidade das estimativas piora com a diminuição da amostra de indivíduos, com o aumento do número de itens com comportamento diferencial e, principalmente, com o aumento do número de itens com comportamento diferencial suscetíveis à mentira. A aplicação do modelo a um conjunto de dados reais, coletados para avaliar depressão em adolescentes, ilustra a diferença do padrão de resposta do item ``crises de choro\" entre homens e mulheres. / Psychiatric scientific research often evaluate subjective characteristics of the individual such as depression, anxiety and phobias. Data are collected through questionnaires with items that try to identify the presence or absence of certain symptoms associated with the psychiatric disease. Some of these items though could make some people embarrassed since they are related to questionable or even illegal social behaviors. The item response theory model proposed within this work envisions to differentiate the relationship between the probability of the symptom presence and the gravity of the disease of embarrassed and non-embarrassed individuals. Items that need this differentiation are called differential item functioning (dif). Additionally, the model has the assumption that individuals embarrassed with one particular item could lie across other answers to omit a possible condition. Applications of the proposed model to simulated data for a 20-item questionnaire have showed that parameter estimates of the proposed model are close to their real values. The estimate accuracy gets worse as the number of individuals decreases, the number of dif increases, and especially as the number of dif susceptible to lying increases. The application of the model to a group of real data, collected to evaluate teenager depression, shows the difference in the probability of \"crying crisis\" presence between men and women.

<div>This dissertation consists of two parts. The first part is a collaborative project with Dr. Szymanski's group in Agronomy at Purdue, to predict protein complex assemblies and interactions. Proteins in the leaf cytosol of Arabidopsis were fractionated using Size Exclusion Chromatography (SEC) and mixed-bed Ion Exchange Chromatography (IEX).</div><div>Protein mass spectrometry data were obtained for the two platforms of separation and two replicates of each. We combine the four data sets and conduct a series of statistical learning, including 1) data filtering, 2) a two-round hierarchical clustering to integrate multiple data types, 3) validation of clustering based on known protein complexes,</div><div>4) mining dendrogram trees for prediction of protein complexes. Our method is developed for integrative analysis of different data types and it eliminates the difficulty of choosing an appropriate cluster number in clustering analysis. It provides a statistical learning tool to globally analyze the oligomerization state of a system of protein complexes.</div><div><br></div><div><br></div><div>The second part examines global hypothesis testing under sparse alternatives and arbitrarily strong dependence. Global tests are used to aggregate information and reduce the burden of multiple testing. A common situation in modern data analysis is that variables with nonzero effects are sparse. The minimum p-value and higher criticism tests are particularly effective and more powerful than the F test under sparse alternatives. This is the common setting in genome-wide association study (GWAS) data. However, arbitrarily strong dependence among variables poses a great challenge towards the p-value calculation of these optimal tests. We develop a latent variable adjusted method to correct minimum p-value test. After adjustment, test statistics become weakly dependent and the corresponding null distributions are valid. We show that if the latent variable is not related to the response variable, power can be improved. Simulation studies show that our method is more powerful than other methods in highly sparse signal and correlated marginal tests setting. We also show its application in a real dataset.</div>

L’objectif de la thèse est d’étudier les cycles économiques en Tunisie en se centrant principalement sur les questions suivantes : quel est leur degré de synchronisation avec les fluctuations économiques des pays développés et quels sont les mécanismes de transmission de ces fluctuations sur l’économie tunisienne ? Pour répondre à cette problématique, le travail est divisé en trois chapitres. Le premier chapitre cherche à retracer les cycles économiques tunisien comparés aux cycles économiques mondiaux, représentés par quatre pays développés (PDE) : la France, l'Italie, l'Allemagne (qui sont les principaux partenaires commerciaux de la Tunisie) et les Etats-Unis (du fait de leur poids dans l'économie mondiale). Dans le deuxième chapitre, le travail introduit l’extraction des composantes cycliques d’autres variables macro-économiques internes (globales et sectorielles) et externes à l’économie tunisienne, afin d’identifier les sources des chocs et les canaux à travers ces chocs sont transmis. Le dernier chapitre a pour objet une validation économétrique des résultats descriptifs des faits stylisés données au premier et au deuxième chapitre, et de savoir à quel degré la nouvelle synthèse néoclassique peut être appliquée à l'économie tunisienne. Les résultats des faits stylisés montrent que le cycle économique tunisien est sensible aux trois catégories de variables étudiées, réelles, monétaires et financières, confirmant ainsi la théorie de la nouvelle synthèse néoclassique. L'application des modèles, VAR structurel et modèle dynamique à composante inobservable, valide les résultats des faits stylisés. En effet, les estimations du modèle VAR structurel montrent que les trois chocs qui contribuent le plus à la variance du PIB tunisien sont les chocs d'offre, les chocs monétaires et les chocs extérieurs. Concernant l'évaluation de la synchronisation du cycle tunisien avec ceux des PDE à partir du modèle à facteur inobservable de Stock et Watson, les résultats montrent un rôle significatif du facteur commun sur le cycle tunisien. Pour les déterminants de la synchronisation du cycle tunisien avec ceux des PDE, la transmission des fluctuations des pays partenaires commerciaux paraît se faire à travers les demandes intérieures, l'indice des prix des matières premières et le taux du marché monétaire en zone euro. Les exportations et les importations tunisiennes n'ont montré un rôle significatif qu'avec le premier partenaire commercial, la France. Pour les Etats-Unis, les fluctuations sont transmises à travers deux variables "européennes", le taux du marché monétaire en zone euro et les envois de fonds des immigrés, suggérant le rôle intermédiaire des pays partenaires commerciaux européens dans la transmission des fluctuations américaines et internationales à l'économie tunisienne. / The aim of the thesis is to study the Tunisian business cycles. We focus mainly on the following questions: To what extent do they synchronize with the economic fluctuations of the developed countries and what are transmission mechanisms of such fluctuations on the Tunisian business cycles? To tackle this problem, the work is organized into three chapters. The first chapter seeks to compare the Tunisian business cycles to international business cycles, represented by four developed countries: France, Italy, Germany (which are the main trade partners of Tunisia) and the United States (due to their importance in the world economy). In the second chapter, the work introduces the extraction of cyclical components of domestic and external macroeconomic variables (global and sector levels) in order to identify the sources of shocks and channels through which these shocks are transmitted. The last chapter deals with an econometric validation of the stylized facts presented in the first and second chapter and seeks to find out the degree to which the new neoclassical synthesis can be applied to the Tunisian business cycles. The stylized facts show that the Tunisian business cycle is sensitive to three categories of variables, (real, monetary and financial variables), this result confirms the theory of the New Neoclassical Synthesis. The structural VAR model and the dynamic latent factor model validate the stylized facts. Indeed, the estimation of the structural VAR model shows that the three shocks that contribute the most to the variance of the Tunisian GDP are supply shocks, monetary shocks and external shocks. Concerning the synchronization of the Tunisian business cycle with those of developed countries according to unobservable factor model of Stock and Watson, the results show a significant role of the common factor on the Tunisian business cycle. For the determinants of synchronization of the Tunisian business cycle with those of developed countries, the transmission of fluctuations in trading partner countries seems to be carried out through domestic demand, the international price index of raw materials and the money market rates in the Euro zone. Tunisian exports and imports showed a significant role with the first trading partner, France. For the United States, the fluctuations are transmitted through two "European" variables, the money market rates in the euro zone and remittances of immigrants, suggesting the intermediary role of European trade partners in the transmission of American and international fluctuations to the Tunisian economy.

Nous introduisons un ensemble de modèles à facteurs latents dédié à la génomique du paysage et aux tests d'associations écologiques. Cela comprend des méthodes statistiques pour corriger des effets d'autocorrélation spatiale sur les cartes de composantes principales en génétique des populations (spFA), des méthodes pour estimer rapidement et efficacement les coefficients de métissage individuel à partir de matrices de génotypes de grande taille et évaluer le nombre de populations ancestrales (sNMF) et des méthodes pour identifier les polymorphismes génétiques qui montrent de fortes corrélations avec des gradients environnementaux ou avec des variables utilisées comme des indicateurs pour des pressions écologiques (LFMM). Nous avons aussi développé un ensemble de logiciels libres associés à ces méthodes, basés sur des programmes optimisés en C qui peuvent passer à l'échelle avec la dimension de très grand jeu de données, afin d'effectuer des analyses de structures de population et des cribles génomiques pour l'adaptation locale. / We introduce a set of latent factor models dedicated to landscape genomics and ecological association tests. It includes statistical methods for correcting principal component maps for effects of spatial autocorrelation (spFA); methods for estimating ancestry coefficients from large genotypic matrices and evaluating the number of ancestral populations (sNMF); and methods for identifying genetic polymorphisms that exhibit high correlation with some environmental gradient or with the variables used as proxies for ecological pressures (LFMM). We also developed a set of open source softwares associated with the methods, based on optimized C programs that can scale with the dimension of very large data sets, to run analyses of population structure and genome scans for local adaptation.