A partial dependence factorial analysis to deal with selection bias in observational studis

This thesis presents a creative and practical approach to dealing with the problem of selection bias. Selection bias may be the most important vexing problem in program evaluation or in any line of research that attempts to assert causality. Some of the greatest minds in economics and statistics have scrutinized the problem of selection bias, with the resulting approaches – Rubin’s Potential Outcome Approach(Rosenbaum and Rubin,1983; Rubin, 1991,2001,2004) or Heckman’s Selection model (Heckman, 1979) – being widely accepted and used as the best fixes. These solutions to the bias that arises in particular from self selection are imperfect, and many researchers, when feasible, reserve their strongest causal inference for data from experimental rather than observational studies. The innovative aspect of this thesis is to propose a data transformation that allows measuring and testing in an automatic and multivariate way the presence of selection bias. The approach involves the construction of a multi-dimensional conditional space of the X matrix in which the bias associated with the treatment assignment has been eliminated. Specifically, we propose the use of a partial dependence analysis of the X-space as a tool for investigating the dependence relationship between a set of observable pre-treatment categorical covariates X and a treatment indicator variable T, in order to obtain a measure of bias according to their dependence structure. The measure of selection bias is then expressed in terms of inertia due to the dependence between X and T that has been eliminated. Given the measure of selection bias, we propose a multivariate test of imbalance in order to check if the detected bias is significant, by using the asymptotical distribution of inertia due to T (Estadella et al. 2005) , and by preserving the multivariate nature of data. Further, we propose the use of a clustering procedure as a tool to find groups of comparable units on which estimate local causal effects, and the use of the multivariate test of imbalance as a stopping rule in choosing the best cluster solution set. The method is non parametric, it does not call for modeling the data, based on some underlying theory or assumption about the selection process, but instead it calls for using the existing variability within the data and letting the data to speak. The idea of proposing this multivariate approach to measure selection bias and test balance comes from the consideration that in applied research all aspects of multivariate balance, not represented in the univariate variable- by-variable summaries, are ignored. The first part contains an introduction to evaluation methods as part of public and private decision process and a review of the literature of evaluation methods. The attention is focused on Rubin Potential Outcome Approach, matching methods, and briefly on Heckman’s Selection Model. The second part focuses on some resulting limitations of conventional methods, with particular attention to the problem of how testing in the correct way balancing. The third part contains the original contribution proposed , a simulation study that allows to check the performance of the method for a given dependence setting and an application to a real data set. Finally, we discuss, conclude and explain our future perspectives.

Il concetto di sezione nel metodo compositivo di Aldo Rossi.

Purpose of this research is to deepen the study on the section in architecture. The survey aims as important elements in the project Teatro Domestico by Aldo Rossi built for the XVII Triennale di Milano in 1986 and, through the implementation on several topics of architecture, verify the timeliness and fertility in the new compositional exercises. Through the study of certain areas of the Rossi’s theory we tried to find a common thread for the reading of the theater project. The theater is the place of the ephemeral and the artificial, which is why his destiny is the end and the fatal loss. The design and construction of theater setting has always had a double meaning between the value of civil architecture and testing of new technologies available. Rossi's experience in this area are clear examples of the inseparable relationship between the representation of architecture as art and design of architecture as a model of reality. In the Teatro Domestico, the distinction between representation and the real world is constantly canceled and returned through the reversal of the meaning and through the skip of scale. At present, studies conducted on the work of Rossi concern the report that the architectural composition is the theory of form, focusing compositional development of a manufacturing process between the typological analysis and form invention. The research, through the analysis of some projects few designs, will try to analyze this issue through the rules of composition both graphical and concrete construction, hoping to decipher the mechanism underlying the invention. The almost total lack of published material on the project Teatro Domestico and the opportunity to visit the archives that preserve the drawings, has allowed the author of this study to deepen the internal issues in the project, thus placing this search as a first step toward possible further analysis on the works of Rossi linked to performance world. The final aim is therefore to produce material that can best describe the work of Rossi. Through the reading of the material published by the same author and the vision of unpublished material preserved in the archives, it was possible to develop new material and increasing knowledge about the work, otherwise difficult to analyze. The research is divided into two groups. The first, taking into account the close relationship most frequently mentioned by Rossi himself between archeology and architectural composition, stresses the importance of tipo such as urban composition reading system as well as open tool of invention. Resuming Ezio Bonfanti’s essay on the work of the architect we wanted to investigate how the paratactic method is applied to the early work conceived and, subsequently as the process reaches a complexity accentuated, while keeping stable the basic terms. Following a brief introduction related to the concept of the section and the different interpretations that over time the term had, we tried to identify with this facility a methodology for reading Rossi’s projects. The result is a constant typological interpretation of the term, not only related to the composition in plant but also through the elevation plans. The section is therefore intended as the overturning of such elevation is marked on the same plane of the terms used, there is a different approach, but a similarity of characters. The identification of architectural phonemes allows comparison with other arts. The research goes in the direction of language trying to identify the relationship between representation and construction, between the ephemeral and the real world. In this sense it will highlight the similarities between the graphic material produced by Ross and some important examples of contemporary author. The comparison between the composition system with the surrealist world of painting and literature will facilitate the understanding and identification of possible rules applied by Rossi. The second part of the research is characterized by a focus on the intent of the project chosen. Teatro Domestico embodies a number of elements that seem to conclude (assuming an end point but also to start) a curriculum author. With it, the experiments carried out on the theater started with the project for the Teatrino Scientifico (1978) through the project for the Teatro del Mondo (1979), into a Laic Tabernacle representative collective and private memory of the city. Starting from a reading of the draft, through the collection of published material, we’ve made an analysis on the explicit themes of the work, finding the conceptual references. Following the taking view of the original materials not published kept at Aldo Rossi's Archive Collection of the Canadian Center for Architecture in Montréal, will be implemented through the existing techniques for digital representation, a virtual reconstruction of the project, adding little to the material, a new element for future studies. The reconstruction is part of a larger research studies where the current technologies of composition and representation in architecture stand side by side with research on the method of composition of this architect. The results achieved are in addition to experiences in the past dealt with the reconstruction of some of the lost works of Aldo Rossi. A partial objective is to reactivate a discourse around this work is considered non-principal, among others born in the prolific activities. Reassessment of development projects which would bring the level of ephemeral works most frequented by giving them the value earned. In conclusion, the research aims to open a new field of interest on the part not only as a technical instrument of representation of an idea but as an actual mechanism through which composition is formed and the idea is developed.

New insights into methodology and interpretation of osteoarthritis. The study of Frassetto identified skeletal collection.

Osteoarthritis (OA) or degenerative joint disease (DJD) is a pathology which affects the synovial joints and characterised by a focal loss of articular cartilage and subsequent bony reaction of the subcondral and marginal bone. Its etiology is best explained by a multifactorial model including: age, sex, genetic and systemic factors, other predisposing diseases and functional stress. In this study the results of the investigation of a modern identified skeletal collection will be presented. In particular, we will focus on the relationship between the presence of OA at various joints. The joint modifications have been analysed using a new methodology that allows the scoring of different degrees of expression of the features considered. Materials and Methods The sample examined comes from the Sassari identified skeletal collection (part of “Frassetto collections”). The individuals were born between 1828 and 1916 and died between 1918 and 1932. Information about sex and age is known for all the individuals. The occupation is known for 173 males and 125 females. Data concerning the occupation of the individuals indicate a preindustrial and rural society. OA has been diagnosed when eburnation (EB) or loss of morphology (LM) were present, or when at least two of the following: marginal lipping (ML), esostosis (EX) or erosion (ER), were present. For each articular surface affected a “mean score” was calculated, reflecting the “severity” of the alterations. A further “score” was calculated for each joint. In the analysis sexes and age classes were always kept separate. For the statistical analyses non parametric test were used. Results The results show there is an increase of OA with age in all the joints analyzed and in particular around 50 years and 60 years. The shoulder, the hip and the knee are the joints mainly affected with ageing while the ankle is the less affected; the correlation values confirm this result. The lesion which show the major correlation with age is the ML. In our sample males are more frequently and more severely affected by OA than females, particularly at the superior limbs, while hip and knee are similarly affected in the two sexes. Lateralization shows some positive results in particular in the right shoulder of males and in various articular surfaces especially of the superior limb of both males and females; articular surfaces and joints are quite always lateralized to the right. Occupational analyses did not show remarkable results probably because of the homogeneity of the sample; males although performing different activities are quite all employed in stressful works. No highest prevalence of knee and hip OA was found in farm-workers respect to the other males. Discussion and Conclusion In this work we propose a methodology to score the different features, necessary to diagnose OA, that allows the investigation of the severity of joint degeneration. This method is easier than the one proposed by Buikstra and Ubelaker (1994), but in the same time allows a quite detailed recording of the features. Epidemiological results can be interpreted quite simply and they are in accordance with other studies; more difficult is the interpretation of the occupational results because many questions concerning the activities performed by the individuals of the collection during their lifespan cannot be solved. Because of this, caution is suggested in the interpretation of bioarcheological specimens. With this work we hope to contribute to the discussion on the puzzling problem of the etiology of OA. The possibility of studying identified skeletons will add important data to the description of osseous features of OA, enriching the medical documentation, based on different criteria. Even if we are aware that the clinical diagnosis is different from the palaeopathological one we think our work will be useful in clarifying some epidemiological as well as pathological aspects of OA.

Generalized Differential Quadrature Finite Element Method applied to Advanced Structural Mechanics

Over the years the Differential Quadrature (DQ) method has distinguished because of its high accuracy, straightforward implementation and general ap- plication to a variety of problems. There has been an increase in this topic by several researchers who experienced significant development in the last years. DQ is essentially a generalization of the popular Gaussian Quadrature (GQ) used for numerical integration functions. GQ approximates a finite in- tegral as a weighted sum of integrand values at selected points in a problem domain whereas DQ approximate the derivatives of a smooth function at a point as a weighted sum of function values at selected nodes. A direct appli- cation of this elegant methodology is to solve ordinary and partial differential equations. Furthermore in recent years the DQ formulation has been gener- alized in the weighting coefficients computations to let the approach to be more flexible and accurate. As a result it has been indicated as Generalized Differential Quadrature (GDQ) method. However the applicability of GDQ in its original form is still limited. It has been proven to fail for problems with strong material discontinuities as well as problems involving singularities and irregularities. On the other hand the very well-known Finite Element (FE) method could overcome these issues because it subdivides the computational domain into a certain number of elements in which the solution is calculated. Recently, some researchers have been studying a numerical technique which could use the advantages of the GDQ method and the advantages of FE method. This methodology has got different names among each research group, it will be indicated here as Generalized Differential Quadrature Finite Element Method (GDQFEM).