Analysis of residuals in contingency tables: another nail in the coffin of conditional approaches to significance testing.

Omnibus tests of significance in contingency tables use statistics of the chi-square type. When the null is rejected, residual analyses are conducted to identify cells in which observed frequencies differ significantly from expected frequencies. Residual analyses are thus conditioned on a significant omnibus test. Conditional approaches have been shown to substantially alter type I error rates in cases involving t tests conditional on the results of a test of equality of variances, or tests of regression coefficients conditional on the results of tests of heteroscedasticity. We show that residual analyses conditional on a significant omnibus test are also affected by this problem, yielding type I error rates that can be up to 6 times larger than nominal rates, depending on the size of the table and the form of the marginal distributions. We explored several unconditional approaches in search for a method that maintains the nominal type I error rate and found out that a bootstrap correction for multiple testing achieved this goal. The validity of this approach is documented for two-way contingency tables in the contexts of tests of independence, tests of homogeneity, and fitting psychometric functions. Computer code in MATLAB and R to conduct these analyses is provided as Supplementary Material.

El mar y la mediterraneidad en la narrativa de Elsa Morante

This doctoral Thesis aims to approach the philosophical significance of the Italian author Elsa Morante, expressed through poetic narrative of her second great novel L'isola di Arturo (1957). For this reason, the inductive knowledge has been opted, which can be reached through the symbolic study of the sea and the mediterranean. From the philosophical and psychoanalytical research from such authors as Mircea Eliade, Gaston Bachelard and Carl Jung, linked to the circle of the Eranos Foundation in Switzerland, where the most rigorous multidisciplinary science theories of nature and man converged, and the Grenoble imaginary Center of Research, driven by anthropologist Gilbert Durand in 1966, a revealing investigation of aquatic and marine image has been carried out. In this context of convergence, the work Las estructuras antropológicas del imaginario by Durand, has fulfilled the important catalytic role, of both the Renaissance conception that wants to observe certain universal components in the symbolic vision that nourishes literary expression, as well as the compilation of large images that illuminate the human imaginary of all time. Objectives and results In this regard, it has been considered that the appropriate approach to morantiano imaginary, could only be done thoroughly, based on a repertoire of images as complete as possible, which, if performed from the anthropological compendium of people and civilization of the world, it is offered as a study backed by profound consistency which is the basis of the method. Therefore, it is said, the imaginary is studied and understood through itself. Thus, the internal coherence of this method is seen to be configured as a form of knowledge of human thought because research, from the symbolic point of view, dissects reality in various ways, however, the most seductive is to consider the possibility of an internal coherence between them to converge at a common conclusion which includes all of them. This fact determines the systematization which is shown in the first part of this thesis, as the image and symbol have a close homogeneity between the signifier and the meaning, so that metaphorical expression is established as the structuring element of the human imaginary and the literary representation...