Measures of fit in multiple correspondence analysis of crisp and fuzzy coded data

When continuous data are coded to categorical variables, two types of coding are possible: crisp coding in the form of indicator, or dummy, variables with values either 0 or 1; or fuzzy coding where each observation is transformed to a set of "degrees of membership" between 0 and 1, using co-called membership functions. It is well known that the correspondence analysis of crisp coded data, namely multiple correspondence analysis, yields principal inertias (eigenvalues) that considerably underestimate the quality of the solution in a low-dimensional space. Since the crisp data only code the categories to which each individual case belongs, an alternative measure of fit is simply to count how well these categories are predicted by the solution. Another approach is to consider multiple correspondence analysis equivalently as the analysis of the Burt matrix (i.e., the matrix of all two-way cross-tabulations of the categorical variables), and then perform a joint correspondence analysis to fit just the off-diagonal tables of the Burt matrix - the measure of fit is then computed as the quality of explaining these tables only. The correspondence analysis of fuzzy coded data, called "fuzzy multiple correspondence analysis", suffers from the same problem, albeit attenuated. Again, one can count how many correct predictions are made of the categories which have highest degree of membership. But here one can also defuzzify the results of the analysis to obtain estimated values of the original data, and then calculate a measure of fit in the familiar percentage form, thanks to the resultant orthogonal decomposition of variance. Furthermore, if one thinks of fuzzy multiple correspondence analysis as explaining the two-way associations between variables, a fuzzy Burt matrix can be computed and the same strategy as in the crisp case can be applied to analyse the off-diagonal part of this matrix. In this paper these alternative measures of fit are defined and applied to a data set of continuous meteorological variables, which are coded crisply and fuzzily into three categories. Measuring the fit is further discussed when the data set consists of a mixture of discrete and continuous variables.

Pneumopathie interstitielle granulomato-lymphocytaire dans l'immunodéficience commune variable [Granulomatous lymphocytic interstitial lung disease in common variable immunodeficiency].

Common variable immunodeficiency (CVID) is the most frequent primary immune deficiency. Recurrent infections are classical consequences of CVID, but their impact has been largely reduced by immunoglobulin replacement. CVID is also associated with various inflammatory and autoimmune manifestations resulting from abnormal cellular immunity. The lungs are especially affected by a recently described entity called granulomatous lymphocytic interstitial lung disease (GLILD). GLILD currently constitutes an important cause of morbidity and mortality in these patients. It is distinct from bronchiectasis secondary to recurrent infections, and presents similarities but also striking differences with sarcoidosis.

A Cross-linguistic comparison of copular predication

This paper explores the syntax of copular predication withn and across the varletles of cape verdean creole briging new insights about the morpho-synactic properies of the copula with respect to funcional and lexical categories

Lyfe-cycle effects on household expenditures: A latent-variable approach

Using data from the Spanish household budget survey, we investigate life-cycle effects on several product expenditures. A latent-variable model approach is adopted to evaluate the impact of income on expenditures, controlling for the number of members in the family. Two latent factors underlying repeated measures of monetary and non-monetary income are used as explanatory variables in the expenditure regression equations, thus avoiding possible bias associated to the measurement error in income. The proposed methodology also takes care of the case in which product expenditures exhibit a pattern of infrequent purchases. Multiple-group analysis is used to assess the variation of key parameters of the model across various household life-cycle typologies. The analysis discloses significant life-cycle effects on the mean levels of expenditures; it also detects significant life-cycle effects on the way expenditures are affected by income and family size. Asymptotic robust methods are used to account for possible non-normality of the data.

An Automatic Approach for Learning and Tuning Gaussian Interval Type-2 Fuzzy Membership Functions Applied to Lung CAD Classification System

The potential of type-2 fuzzy sets for managing high levels of uncertainty in the subjective knowledge of experts or of numerical information has focused on control and pattern classification systems in recent years. One of the main challenges in designing a type-2 fuzzy logic system is how to estimate the parameters of type-2 fuzzy membership function (T2MF) and the Footprint of Uncertainty (FOU) from imperfect and noisy datasets. This paper presents an automatic approach for learning and tuning Gaussian interval type-2 membership functions (IT2MFs) with application to multi-dimensional pattern classification problems. T2MFs and their FOUs are tuned according to the uncertainties in the training dataset by a combination of genetic algorithm (GA) and crossvalidation techniques. In our GA-based approach, the structure of the chromosome has fewer genes than other GA methods and chromosome initialization is more precise. The proposed approach addresses the application of the interval type-2 fuzzy logic system (IT2FLS) for the problem of nodule classification in a lung Computer Aided Detection (CAD) system. The designed IT2FLS is compared with its type-1 fuzzy logic system (T1FLS) counterpart. The results demonstrate that the IT2FLS outperforms the T1FLS by more than 30% in terms of classification accuracy.

Fuzzy coding in constrained ordinations

Canonical correspondence analysis and redundancy analysis are two methods of constrained ordination regularly used in the analysis of ecological data when several response variables (for example, species abundances) are related linearly to several explanatory variables (for example, environmental variables, spatial positions of samples). In this report I demonstrate the advantages of the fuzzy coding of explanatory variables: first, nonlinear relationships can be diagnosed; second, more variance in the responses can be explained; and third, in the presence of categorical explanatory variables (for example, years, regions) the interpretation of the resulting triplot ordination is unified because all explanatory variables are measured at a categorical level.

Variable Kernel estimates: On the impossibility of tuning the parameters

For the standard kernel density estimate, it is known that one can tune the bandwidth such that the expected L1 error is within a constant factor of the optimal L1 error (obtained when one is allowed to choose the bandwidth with knowledge of the density). In this paper, we pose the same problem for variable bandwidth kernel estimates where the bandwidths are allowed to depend upon the location. We show in particular that for positive kernels on the real line, for any data-based bandwidth, there exists a densityfor which the ratio of expected L1 error over optimal L1 error tends to infinity. Thus, the problem of tuning the variable bandwidth in an optimal manner is ``too hard''. Moreover, from the class of counterexamples exhibited in the paper, it appears thatplacing conditions on the densities (monotonicity, convexity, smoothness) does not help.

Testing financing constraints on firm investment using variable capital

We consider a dynamic multifactor model of investment with financing imperfections,adjustment costs and fixed and variable capital. We use the model to derive a test offinancing constraints based on a reduced form variable capital equation. Simulation resultsshow that this test correctly identifies financially constrained firms even when the estimationof firms investment opportunities is very noisy. In addition, the test is well specified inthe presence of both concave and convex adjustment costs of fixed capital. We confirmempirically the validity of this test on a sample of small Italian manufacturing companies.

Habiter touristique et agencement de l'espace urbain : le cas de Los Angeles : recherche sur le concours des compétences des individus quant à leurs manières de faire avec les épreuves spatiales d'une métapole touristique

Vivre, c'est passer d'un espace à un autre en essayant le plus possible de ne pas se cogner déclamait George Pérec. Cet énoncé poétiquement géographique pourrait résumer d'une certaine façon le défi de connaissance saisi par cette recherche. L'enjeu consiste effectivement à envisager le fait à'habiter, entendu dans son acception du « faire avec de l'espace » de la part des individus, comme n'allant pas de soi, de mettre en exergue le caractère problématique que constitue la pratique d'un lieu pour un individu. A ce titre, l'une des propositions de ce travail est de considérer tout lieu comme un assemblage d'épreuves spatiales face auxquelles les individus sont confrontés. La question se pose alors de savoir comment les individus font avec ces épreuves spatiales. L'hypothèse défendue dans ce travail est celle de la mobilisation, par ces derniers, de compétences - ressortissant d'une « capacité à » telle qu'exprimée par Wittgenstein dans le domaine linguistique, c'est-à-dire d'une « maîtrise technique » - et d'un capital spatial - que l'on peut faire synthétiquement correspondre à l'expérience accumulée par un individu en terme de pratique de lieux. L'argumentation étaye l'hypothèse que les manières d'habiter touristiquement une métropole dépendent notamment de ces deux éléments interdépendants dont dispose tout individu de façon variable et évolutive ; leur importance, sans déterminer aucunement des pratiques spécifiques, participe d'une maîtrise accrue de l'espace, d'une facilité pour faire avec les épreuves spatiales, atténuant le caractère potentiellement contraignant de ces dernières. Il s'agit donc d'une enquête menant une réflexion tout à la fois sur la dimension actorielle des individus, mais également sur le lieu en tant qu'espace habité : travailler sur cette question revient à investir la question de l'agencement urbain d'un lieu, c'est-à-dire d'appréhender la façon dont une configuration urbaine (les épreuves spatiales coïncidant avec les principales caractéristiques de cette dernière) est habitée, et plus particulièrement en l'occurrence ici, est habitée touristiquement. Pour aborder empiriquement cette problématique, l'enquête se focalise donc sur les touristes : d'une part pour leur faible degré de familiarité avec le lieu pratiqué (faire avec cet espace ne relève donc pas d'une routine) et d'autre part parce que leur présence dorénavant massive au sein des métropoles a des effets sur l'agencement de ces lieux qu'il est nécessaire d'envisager. Le laboratoire utilisé est celui de Los Angeles, cette aire urbaine de 18 millions de résidents : son étalement considérable, l'absence d'un centre-ville historiquement important, et la forte prégnance de sa métrique automobile étant des caractéristiques qui font de ce lieu un « exceptionnel normal » aux épreuves spatiales particulièrement proéminentes. La recherche avance à ce titre des arguments permettant d'en souligner un agencement, par les manières d'habiter des touristes, différencié du modèle classique de la métropole touristique : pour exprimer cette singularité, l'enquête étaye l'hypothèse consistant à qualifier ce lieu de métapole touristique. - Living is moving from one space to another while trying not to collide claimed George Pérec. This poetically geographic statement could in a way sum up the challenge seized by this research. The challenge is indeed to consider the fact of dwelling, in the sense of "make do with space" on the part of individuals, as not an evidence but highlighting the problematic characteristics of the practice of a place by people. Accordingly, one of the proposals of this work is to consider each place as a gathering of spatial stakes against which individuals are faced. The question then arises how are individuals facing these spatial stakes. The hypothesis debated in this work is that of the mobilization of skills such as "the ability of' as expressed by Wittgenstein in the linguistic field, i.e. a "technical mastery" - and a spatial capital - that can synthetically correspond to the experience accumulated by one single individual in terms of practice of places. Argument supports the hypothesis that the ways of touristically dwelling a metropolis depend on these two interdependent elements which everyone deal with in a variable and scalable manner; their importance, without determining any specific practices, participates in an increased proficiency of space, easing to make do with the space stakes, moderating the potentially binding character of the latter. It is therefore a survey leading a reflection both on the actorial dimension of individuals, but also on the place as a living space: working on this issue is exploring the question of the urban layout of a place, i.e. to understand how an urban configuration (the space stakes coinciding with the main features of the latter) is inhabited, and in particular in the present case, is touristically dwelled. To empirically address this issue, the inquiry therefore focuses on tourists: on the one hand for their low degree of familiarity with the place (make do with this space is therefore not a routine) and secondly because their now massive presence within the metropolis has effects on the layout of these places that is necessary to consider. The laboratory used is that of Los Angeles, this urban area of 18 million residents: its considerable spread, the absence of an historically important downtown» and high salience of "automobile metric" are features that make this place a "normal exceptional" with particularly prominent space stakes. Hence, research advances the arguments underlining the layout, by the ways of tourists dwelling different from the classical model of the metropolis: to express this uniqueness, the survey supports hypothesis to describe this place as a tourist metapolis.

Granulomatosis-associated common variable immunodeficiency disorder: a case-control study versus sarcoidosis.

The aim of the present study was to investigate to what extent interstitial lung disease (ILD) in common variable immunodeficiency disorder (CVID)-associated granulomatous disease (GD) is similar to pulmonary sarcoidosis 20 patients with CVID/GD were included in a retrospective study conducted by the Groupe Sarcoïdose Francophone. Medical records were centralised. Patients were compared with 60 controls with sarcoidosis. Clinical examination showed more frequent crackles in patients than controls (45% versus 1.7%, respectively; p<0.001). On thoracic computed tomography scans, nodules (often multiple and with smooth margins), air bronchograms and halo signs were more frequent in patients than controls (80% versus 42%, respectively; p=0.004) as well as bronchiectasis (65% versus 23%, respectively; p<0.001). The micronodule distribution was perilymphatic in 100% of controls and in 42% of patients (p<0.001). Bronchoalveolar lavage analysis showed lower T-cell CD4/CD8 ratios in patients than in controls (mean±sd 1.6±1.1 versus 5.3±4, respectively; p<0.01). On pathological analysis, nodules and consolidations corresponded to granulomatous lesions with or without lymphocytic disorders in most cases. Mortality was higher in patients than controls (30% versus 0%, respectively) and resulted from common variable immunodeficiency complications. ILD in CVID/GD presents a specific clinical picture and evolution that are markedly different from those of sarcoidosis.

Variable phenotypic expressivity in a Swiss family with autosomal dominant retinitis pigmentosa due to a T494M mutation in the PRPF3 gene.

PURPOSE: To characterize the clinical, psychophysical, and electrophysiological phenotypes in a five-generation Swiss family with dominantly inherited retinitis pigmentosa caused by a T494M mutation in the Precursor mRNA-Processing factor 3 (PRPF3) gene, and to relate the phenotype to the underlying genetic mutation. METHODS: Eleven affected patients were ascertained for phenotypic and genotypic characterization. Ophthalmologic evaluations included color vision testing, Goldmann perimetry, and digital fundus photography. Some patients had autofluorescence imaging, Optical Coherence Tomography, and ISCEV-standard full-field electroretinography. All affected patients had genetic testing. RESULTS: The age of onset of night blindness and the severity of the progression of the disease varied between members of the family. Some patients reported early onset of night blindness at age three, with subsequent severe deterioration of visual acuity, which was 0.4 in the best eye after their fifties. The second group of patients had a later onset of night blindness, in the mid-twenties, with a milder disease progression and a visual acuity of 0.8 at age 70. Fundus autofluorescence imaging and electrophysiological and visual field abnormalities also showed some degree of varying phenotypes. The autofluorescence imaging showed a large high-density ring bilaterally. Myopia (range: -0.75 to -8) was found in 10/11 affected subjects. Fundus findings showed areas of atrophy along the arcades. A T494M change was found in exon 11 of the PRPF3 gene. The change segregates with the disease in the family. CONCLUSIONS: A mutation in the PRPF3 gene is rare compared to other genes causing autosomal dominant retinitis pigmentosa (ADRP). Although a T494M change has been reported, the family in our study is the first with variable expressivity. Mutations in the PRPF3 gene can cause a variable ADRP phenotype, unlike in the previously described Danish, English, and Japanese families. Our report, based on one of the largest affected pedigree, provides a better understanding as to the phenotype/genotype description of ADRP caused by a PRPF3 mutation.

[Archives de la Parole]. , The [Parable of] the Prodigal son : in Khariā / [Sir George Grierson], éd. ; Linguistic survey of India ; Voix parlée

[Traditions. Asie. Inde. Chotā Nāgpur]

[Archives de la Parole]. , Parable of the prodigal son in Parjé [i.e. parji], from Bastar (C.P) [i.e. Central Provinces] : dravidien, Linguistic survey of India, [Sir George] Grierson / [Sir George Grierson], éd. ; Linguistic survey of India ; [Bhima Parjā], voix

[Traditions. Asie. Inde. Madhya Pradesh. Chhattisgarh]

[Archives de la Parole]. , Parable of the prodigal son : in Kodaku, from Surguja / [Sir George Grierson], éd. ; Linguistic survey of India ; [Jūthan Koḍākū], voix

[Traditions. Asie. Inde. Madhya Pradesh. Chhattisgarh]