Testing Spatial Autocorrelation in Weighted Networks : the Modes Permutation Test

In a weighted spatial network, as specified by an exchange matrix, the variances of the spatial values are inversely proportional to the size of the regions. Spatial values are no more exchangeable under independence, thus weakening the rationale for ordinary permutation and bootstrap tests of spatial autocorrelation. We propose an alternative permutation test for spatial autocorrelation, based upon exchangeable spatial modes, constructed as linear orthogonal combinations of spatial values. The coefficients obtain as eigenvectors of the standardised exchange matrix appearing in spectral clustering, and generalise to the weighted case the concept of spatial filtering for connectivity matrices. Also, two proposals aimed at transforming an acessibility matrix into a exchange matrix with with a priori fixed margins are presented. Two examples (inter-regional migratory flows and binary adjacency networks) illustrate the formalism, rooted in the theory of spectral decomposition for reversible Markov chains.

The algebraic equality of two asymptotic tests for the hypothesis that a normal distribution has a specified correlation matrix

It is proved the algebraic equality between Jennrich's (1970) asymptotic$X^2$ test for equality of correlation matrices, and a Wald test statisticderived from Neudecker and Wesselman's (1990) expression of theasymptoticvariance matrix of the sample correlation matrix.

Source inference of exogenous gamma-hydroxybutyric acid (GHB) administered to humans by means of carbon isotopic ratio analysis: novel perspectives regarding forensic investigation and intelligence issues.

γ-Hydroxybutyric acid (GHB) is an endogenous short-chain fatty acid popular as a recreational drug due to sedative and euphoric effects, but also often implicated in drug-facilitated sexual assaults owing to disinhibition and amnesic properties. Whilst discrimination between endogenous and exogenous GHB as required in intoxication cases may be achieved by the determination of the carbon isotope content, such information has not yet been exploited to answer source inference questions of forensic investigation and intelligence interests. However, potential isotopic fractionation effects occurring through the whole metabolism of GHB may be a major concern in this regard. Thus, urine specimens from six healthy male volunteers who ingested prescription GHB sodium salt, marketed as Xyrem(®), were analysed by means of gas chromatography/combustion/isotope ratio mass spectrometry to assess this particular topic. A very narrow range of δ(13)C values, spreading from -24.810/00 to -25.060/00, was observed, whilst mean δ(13)C value of Xyrem(®) corresponded to -24.990/00. Since urine samples and prescription drug could not be distinguished by means of statistical analysis, carbon isotopic effects and subsequent influence on δ(13)C values through GHB metabolism as a whole could be ruled out. Thus, a link between GHB as a raw matrix and found in a biological fluid may be established, bringing relevant information regarding source inference evaluation. Therefore, this study supports a diversified scope of exploitation for stable isotopes characterized in biological matrices from investigations on intoxication cases to drug intelligence programmes.

Compact matrix expressions for generalized Wald tests of equality of moment vectors

Asymptotic chi-squared test statistics for testing the equality ofmoment vectors are developed. The test statistics proposed aregeneralizedWald test statistics that specialize for different settings by inserting andappropriate asymptotic variance matrix of sample moments. Scaled teststatisticsare also considered for dealing with situations of non-iid sampling. Thespecializationwill be carried out for testing the equality of multinomial populations, andtheequality of variance and correlation matrices for both normal andnon-normaldata. When testing the equality of correlation matrices, a scaled versionofthe normal theory chi-squared statistic is proven to be an asymptoticallyexactchi-squared statistic in the case of elliptical data.

Unfolding a symmetric matrix

Graphical displays which show inter--sample distances are importantfor the interpretation and presentation of multivariate data. Except whenthe displays are two--dimensional, however, they are often difficult tovisualize as a whole. A device, based on multidimensional unfolding, isdescribed for presenting some intrinsically high--dimensional displays infewer, usually two, dimensions. This goal is achieved by representing eachsample by a pair of points, say $R_i$ and $r_i$, so that a theoreticaldistance between the $i$-th and $j$-th samples is represented twice, onceby the distance between $R_i$ and $r_j$ and once by the distance between$R_j$ and $r_i$. Self--distances between $R_i$ and $r_i$ need not be zero.The mathematical conditions for unfolding to exhibit symmetry are established.Algorithms for finding approximate fits, not constrained to be symmetric,are discussed and some examples are given.

Are Americans' musical preferences more omnivores today?

Although we found a general trend favouring the omnivorousness thesis, as soon as we adjusted it to a set of structural factors and consumers tastes it was clear that this was caused by elitist inclusive omnivores who had increased the scope of their tastes. In general, younger cohorts were becoming less omnivorous, nevertheless, they were also becoming more educated and had greater to higher levels of inc ome, making the youth moreomnivorous. As expected, upscale consumers set limits on their popular taste: musicalgenres, whose audiences had educational levels below the mean profile were less preferredby upscale respondents. In spite of this, as time passed, some popular brows gained socialstatus.

Engineered aprotinin for improved stability of fibrin biomaterials.

Fibrin has been long used clinically for hemostasis and sealing, yet extension of use in other applications has been limited due to its relatively rapid resorption in vivo, even with addition of aprotinin or other protease inhibitors. We report an engineered aprotinin variant that can be immobilized within fibrin and thus provide extended longevity. When recombinantly fused to a transglutaminase substrate domain from α(2)-plasmin inhibitor (α(2)PI(1-8)), the resulting variant, aprotinin-α(2)PI(1-8), was covalently crosslinked into fibrin matrices during normal thrombin/factor XIIIa-mediated polymerization. Challenge with physiological plasmin concentrations revealed that aprotinin-α(2)PI(1-8)-containing matrices retained 78% of their mass after 3 wk, whereas matrices containing wild type (WT) aprotinin degraded completely within 1 wk. Plasmin challenge of commercial sealants Omrixil and Tisseel, supplemented with aprotinin-α(2)PI(1-8) or WT aprotinin, showed extended longevity as well. When seeded with human dermal fibroblasts, aprotinin-α(2)PI(1-8)-supplemented matrices supported cell growth for at least 33% longer than those containing WT aprotinin. Subcutaneously implanted matrices containing aprotinin-α(2)PI(1-8) were detectable in mice for more than twice as long as those containing WT aprotinin. We conclude that our engineered recombinant aprotinin variant can confer extended longevity to fibrin matrices more effectively than WT aprotinin in vitro and in vivo.

An adaptation of correspondence analysis for square tables

The application of correspondence analysis to square asymmetrictables is often unsuccessful because of the strong role played by thediagonal entries of the matrix, obscuring the data off the diagonal. A simplemodification of the centering of the matrix, coupled with the correspondingchange in row and column masses and row and column metrics, allows the tableto be decomposed into symmetric and skew--symmetric components, which canthen be analyzed separately. The symmetric and skew--symmetric analyses canbe performed using a simple correspondence analysis program if the data areset up in a special block format.

Measuring subcompositional incoherence

Subcompositional coherence is a fundamental property of Aitchison s approach to compositional data analysis, and is the principal justification for using ratios of components. We maintain, however, that lack of subcompositional coherence, that is incoherence, can be measured in an attempt to evaluate whether any given technique is close enough, for all practical purposes, to being subcompositionally coherent. This opens up the field to alternative methods, which might be better suited to cope with problems such as data zeros and outliers, while being only slightly incoherent. The measure that we propose is based on the distance measure between components. We show that the two-part subcompositions, which appear to be the most sensitive to subcompositional incoherence, can be used to establish a distance matrix which can be directly compared with the pairwise distances in the full composition. The closeness of these two matrices can be quantified using a stress measure that is common in multidimensional scaling, providing a measure of subcompositional incoherence. The approach is illustrated using power-transformed correspondence analysis, which has already been shown to converge to log-ratio analysis as the power transform tends to zero.

Generic finiteness of equilibrium payoffs for bimatrix games

It is shown that in any affine space of payoff matrices the equilibriumpayoffs of bimatrix games are generically finite.

Flexible multivariate GARCH modeling with an application to international stock markets

The goal of this paper is to estimate time-varying covariance matrices.Since the covariance matrix of financial returns is known to changethrough time and is an essential ingredient in risk measurement, portfolioselection, and tests of asset pricing models, this is a very importantproblem in practice. Our model of choice is the Diagonal-Vech version ofthe Multivariate GARCH(1,1) model. The problem is that the estimation ofthe general Diagonal-Vech model model is numerically infeasible indimensions higher than 5. The common approach is to estimate more restrictive models which are tractable but may not conform to the data. Our contributionis to propose an alternative estimation method that is numerically feasible,produces positive semi-definite conditional covariance matrices, and doesnot impose unrealistic a priori restrictions. We provide an empiricalapplication in the context of international stock markets, comparing thenew estimator to a number of existing ones.

Correspondence analysis of two transition tables

The case of two transition tables is considered, that is two squareasymmetric matrices of frequencies where the rows and columns of thematrices are the same objects observed at three different timepoints. Different ways of visualizing the tables, either separatelyor jointly, are examined. We generalize an existing idea where asquare matrix is descomposed into symmetric and skew-symmetric partsto two matrices, leading to a decomposition into four components: (1)average symmetric, (2) average skew-symmetric, (3) symmetricdifference from average, and (4) skew-symmetric difference fromaverage. The method is illustrated with an artificial example and anexample using real data from a study of changing values over threegenerations.

Euglossine bee communities in small forest fragments of the Atlantic Forest, Rio de Janeiro state, southeastern Brazil (Hymenoptera, Apidae)

Euglossine bee communities in small forest fragments of the Atlantic Forest, Rio de Janeiro state, southeastern Brazil (Hymenoptera, Apidae). Euglossine bees are important pollinators in forests and agricultural areas. Although the structure of their communities is critically affected by anthropogenic disturbances, little is known about these bees in small forest fragments. The objectives of this study were to analyze the composition, abundance, and diversity of euglossine bee species in nine small fragments of different phytophysiognomies of the Atlantic Forest in southeastern Brazil, and to identify the environmental variables that may be related to the species composition of these communities. Males were sampled quarterly from May 2007 to May 2009 with aromatic traps containing methyl cinnamate, vanillin, eucalyptol, benzyl acetate, and methyl salicylate. A total of 1558 males, belonging to 10 species and three genera of Euglossina were collected. The richness ranged from five to seven species per fragment. Euglossa cordata, E. securigera, Eulaema nigrita e E. cingulata were common to all fragments studied. The diversity differed significantly among areas, ranging from H' = 1.04 to H' = 1.65. The precipitation, phytophysiognomy, and altitude had the highest relative importance over the species composition variation. The results presented in this study demonstrate that small forest fragments are able to support populations of euglossine bee species, most of which are widely distributed and reportedly tolerant to open and/or disturbed areas and suggest that the conservation of such areas is important, particularly in areas that are regenerating and in regions with agricultural matrices where these bees can act as important pollinators

La Manie épistolaire : d'une analyse textuelle à une poétique des lettres asilaires conservées à la Collection de l'Art Brut

Relevant globalement de l'analyse de discours, cette thèse se propose en deux temps (questions de méthode, puis analyses) d'étudier dans le détail et d'interpréter des lettres asilaires initialement gardées au sein d'archives médicales de différents hôpitaux psychiatriques de Suisse romande et désormais conservées à la Collection de l'Art Brut, à Lausanne. Ce transfert institutionnel noue le problème central posé par le corpus recueilli : quelle lecture accorder à ces productions qui, dans ces conditions, semblent échapper à toute catégorisation générique a priori ou, en reformulant l'interrogation, en quoi est-ce que les oeuvres d'art brut dépassent-elles leur statut de documents cliniques? Pour répondre à cette ample question, il faut une théorie du langage qui conceptualise des modalités de réception. En l'occurrence, les textes retenus sont abordés à partir de la théorie de Yénonciation, élaborée au moins depuis Emile Benveniste, qui implique de saisir le langage non à partir de la perspective de l'interprété mais depuis celle de l'interprétant.¦Une fois ce fondement énonciatif posé, de nombreux problèmes peuvent être posés et permettent d'architecturer le travail. L'énonciation installe en premier lieu l'univers du discours, qui implique de tenir globalement compte du primat de l'interdiscursivité, autant dans le geste raisonné de constitution du corpus que dans la conduite de son interprétation. En l'occurrence, la thématique de la folie est ici centrale : les production retenues ont en effet d'abord fait l'objet du diagnostic psychiatrique et y ont eu valeur de symptômes ; elles ont ensuite intégré les rangs de la Collection de l'Art Brut, dont les principaux artisans (Jean Dubuffet et Michel Thévoz en tête) ont beaucoup insisté sur le renouvellement du regard à apporter sur la folie, celle-ci y étant considérée pour ses vertus créatrices et contestatrices.¦Le cadrage (doublement) dialogique du corpus implique à grands traits de lier la folie et le langage ou, plus spécifiquement, de faire de la folie non plus une pathologie mais un problème de (théorie du) langage. Pour conceptualiser ce passage, les notions de manie et de manière (Dessons) sont primordiales. La première est dotée d'une mémoire psychiatrique et fait de la folie une maladie mentale dont souffre un individu doté de son empirie et d'une psycho-biologie. La seconde, en revanche, est énonciative et concerne la subjectivation d'un langage, si spécifique qu'il implique de sortir des catégories linguistiques conventionnelles pour le désigner et le décrire, inaptes à le rationaliser. La manière rejoint donc la folie parce qu'elle rend, littéralement, fou (elle déstabilise nos grilles préformatées de lecture). En ce sens, elle implique, dans le discours, de passer d'une énonciation qui n'est pas une simple interlocution (où le langage permet à un sujet de communiquer à propos de quelque chose à un autre sujet) à une énonciation dont la réception fait problème.¦Pour saisir cette énonciation dans le discours, il importe de se débarrasser d'une rhétorique des genres pour passer, radicalement, à une poétique de Γénonciation. La rhétorique ne peut appréhender la spécificité des textes retenus ou, autrement dit, leur mode propre de signifier, pour plusieurs raisons : elle se centre sur les effets provoqués par le discours sur un « auditoire » en vue de certaines visées préalables, elle instrumentalise le langage à des fins uniquement communicatives, elle repose sur un réalisme linguistique (le rapport presque naturel entre le signifiant et le concept qu'il est censé transcrire de façon transparente), elle n'a pas de théorie du sujet (sinon un bien trop flou « locuteur »).¦Une poétique de l'énonciation offre « au contraire » (l'opposition est caricaturale ici) l'avantage de traiter dans le discours d'une énonciation qui n'est pas pensée à partir de modèles collectifs (genres, signe linguistique, ...). Dans ce dernier cas, l'appréhension du discours ne peut considérer que des variations (quand ce n'est pas des « déviances » ou des symptômes) internes à tel ou tel modèle générique, pas remis en cause comme tel. En somme, une poétique renverse la pensée du langage : elle ne l'appréhende plus à partir de catégories qui lui sont externes, mais s'intéresse à des « procédés » indésignables a priori, ou, plus globalement, à un mode spécifique de signifier, c'est-à-dire qu'il ne « fait sens » que pour un seul langage - et pas un autre.¦Le langage est alors si subjectivé qu'il confond son statut d'objet avec celui de sujet. Pour preuve, on ne le désigne plus dans le discours à partir d'une catégorie sociale générique (« c'est une lettre »), mais à partir d'un « nom d'auteur » ou, plus spécifiquement, une manière (« c'est un Aloïse », par exemple pour le cas d'une oeuvre apparentée à l'art brut), sujet théorique de l'énonciation artistique. Cette forme-sujet, comme la nommait Henri Meschonnic dans sa théorie dite du poème, se reconnaît dans l'unité (sémantique) du texte et ouvre dans le discours à un système-sujet d'organisation identifiable à l'échelle élargie d'une oeuvre. Elle permet d'inscrire pleinement la démarche dans le cadre englobant non seulement de l'analyse du discours mais aussi d'une anthropologie linguistique.¦En somme, l'objet au centre de nos préoccupations fait de ce passage (d'une rhétorique à une poétique) un problème épistémologique. Les oeuvres d'art brut impliquent de passer d'une discursivité à une autre, d'une folie psychiatrique à une folie artistique, déplaçant la folie dans le champ social. Le langage dessine bel et bien la société. Ce travail permet finalement de comprendre la contribution du langage à la construction des réalités sociales, dans l'élaboration du sens qui s'y fabrique. Son orientation herméneutique aboutit à identifier une nouvelle figure de l'altérité, inscrite au sein même de la pensée linguistique.

A collagen-poly(lactic acid-co-ɛ-caprolactone) hybrid scaffold for bladder tissue regeneration.

Scaffold materials should favor cell attachment and proliferation, and provide designable 3D structures with appropriate mechanical strength. Collagen matrices have proven to be beneficial scaffolds for tissue regeneration. However, apart from small intestinal submucosa, they offer a limited mechanical strength even if crosslinking can enhance their mechanical properties. A more cell-friendly way to increase material strength is to combine synthetic polymer meshes with plastic compressed collagen gels. This work describes the potential of plastic compressed collagen-poly(lactic acid-co-ɛ-caprolactone) (PLAC) hybrids as scaffolds for bladder tissue regeneration. Human bladder smooth muscle and urothelial cells were cultured on and inside collagen-PLAC hybrids in vitro. Scaffolds were analyzed by electron microscopy, histology, immunohistochemistry, and AlamarBlue assay. Both cell types proliferated in and on the hybrid, forming dense cell layers on top after two weeks. Furthermore, hybrids were implanted subcutaneously in the backs of nude mice. Host cell infiltration, scaffold degradation, and the presence of the seeded bladder cells were analyzed. Hybrids showed a lower inflammatory reaction in vivo than PLAC meshes alone, and first signs of polymer degradation were visible at six months. Collagen-PLAC hybrids have potential for bladder tissue regeneration, as they show efficient cell seeding, proliferation, and good mechanical properties.