Métodos para el análisis factorial de una tabla de contingencia múltiple. aplicación a la comparación de dos corpus cronológicos

Resumen

The study of multiple tables that tolerate groups of measured quantitative variables on a same set of individuals has provoked numerous methodologies in the field of the factorial analysis, sometimes extended for multiple tables of qualitative or mixed type, Less attention has been paid to the Multiple Contingency Tables (MCT) and is this the subject of the thesis. The main objectives of the thesis are: 1) to study the factorial methods for the treatment of the MCT; 2) to make a systematic comparison of these methods from as much theoretical point of view as applied; 3) to value the potential of application in the textual analysis. In order to reach these objectives it is necessary: 4) to elaborate a methodology for the systematic comparison of the methods. The study of the MCT presents two important problems: o the necessity to balance the influence of the different sub-tables in the global factorial analysis; o the difference between the margin-row from a sub-table to another one. First part Chapter 1 describes the General Factorial Analysis (GA), frame of reference for the factorial methods, and the Correspondence Analysis (CA), method of reference for the factorial analysis of contingency tables. Chapter 2 examines in a theoretical way the factorial methods for the study of the MCT: ¿ CA applied to the juxtaposed table, ¿ Intern CA (ICA), ¿ Multiple Factor Analysis for Contingency Tables (MFACT) ¿ Simultaneous Analysis for contingency tables (AS). The desirable properties are defined and it is shown, for each method, if they are fulfilled or not. This part is explained by means of small examples that emphasize the difficulties of the comparison. Chapter 3 shows the results obtained in the application of the different methods from a real example. The contribution of each method with the support of this example is compared systematically. Second part. Application to the textual analysis. Chapter 4 examines two selected legal corpora, for