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.

Intraspecific competition reveals conditional fitness effects of single gene polymorphism at the Arabidopsis root growth regulator BRX.

Intraspecific genetic variation for morphological traits is observed in many organisms. In Arabidopsis thaliana, alleles responsible for intraspecific morphological variation are increasingly being identified. However, the fitness consequences remain unclear in most cases. Here, the fitness effects of alleles of the BRX gene are investigated. A brx loss-of-function allele, which was found in a natural accession, results in a highly branched but poorly elongated root system. Comparison between the control accession Sav-0 and an introgression of brx into this background (brxS) indicated that, surprisingly, brx loss of function did not negatively affect fitness in pure stands. However, in mixed, well-watered stands brxS performance and reproductive output decreased significantly, as the proportion of Sav-0 neighbors increased. Additional comparisons between brxS and a brxS line that was complemented by a BRX transgene confirmed a direct effect of the loss-of-function allele on plant performance, as indicated by restored competitive ability of the transgenic genotype. Further, because plant height was very similar across genotypes and because the experimental setup largely excluded shading effects, the impaired competitiveness of the brx loss-of-function genotype likely reflects below-ground competition. In summary, these data reveal conditional fitness effects of a single gene polymorphism in response to intraspecific competition in Arabidopsis.

Nature, evolution and characterisation of rhizospheric chemical exudates affecting root herbivores

Similar to aboveground herbivores, root-feeding insects must locate and identify suitable resources. In the darkness of soil, they mainly rely on root chemical exudations and, therefore, have evolved specific behaviours. Because of their impact on crop yield, most of our knowledge in belowground chemical ecology is biased towards soil-dwelling insect pests. Yet the increasing literature on volatile-mediated interactions in the ground underpins the great importance of chemical signalling in this ecosystem and its potential in pest control. Here, we explore the ecology and physiology of these chemically based interactions. An evolutionary approach reveals interesting patterns in the response of insects to particular classes of volatile or water-soluble organic compounds commonly emitted by roots. Food web analyses reasonably support that volatiles are used as long-range cues whereas water-soluble molecules serve in host acceptance/rejection by the insect; however, data are still scarce. As a case study, the chemical ecology of Diabrotica virgifera virgifera is discussed and applications of belowground signalling in pest management are examined. Soil chemical ecology is an expanding field of research and will certainly be a hub of our understanding of soil communities and subsequently of the management of belowground ecosystem services.

Weights in the balance: jasmonic acid and salicylic acid signaling in root-biotroph interactions.

Work on the interaction of aerial plant parts with pathogens has identified the signaling molecules jasmonic acid (JA) and salicylic acid (SA) as important players in induced defense of the plant against invading organisms. Much less is known about the role of JA and SA signaling in root infection. Recent progress has been made in research on plant interactions with biotrophic mutualists and parasites that exclusively associate with roots, namely arbuscular mycorrhizal and rhizobial symbioses on one hand and nematode and parasitic plant interactions on the other hand. Here, we review these recent advances relating JA and SA signaling to specific stages of root colonization and discuss how both signaling molecules contribute to a balance between compatibility and defense in mutualistic as well as parasitic biotroph-root interactions.

Bringing game theory to hypothesis testing: Establishing finite sample bounds on inference

Small sample properties are of fundamental interest when only limited data is avail-able. Exact inference is limited by constraints imposed by speci.c nonrandomizedtests and of course also by lack of more data. These e¤ects can be separated as we propose to evaluate a test by comparing its type II error to the minimal type II error among all tests for the given sample. Game theory is used to establish this minimal type II error, the associated randomized test is characterized as part of a Nash equilibrium of a .ctitious game against nature.We use this method to investigate sequential tests for the di¤erence between twomeans when outcomes are constrained to belong to a given bounded set. Tests ofinequality and of noninferiority are included. We .nd that inference in terms oftype II error based on a balanced sample cannot be improved by sequential sampling or even by observing counter factual evidence providing there is a reasonable gap between the hypotheses.

Some hypothesis tests for the covariance matrix when the dimension is large compared to the sample size

This paper analyzes whether standard covariance matrix tests work whendimensionality is large, and in particular larger than sample size. Inthe latter case, the singularity of the sample covariance matrix makeslikelihood ratio tests degenerate, but other tests based on quadraticforms of sample covariance matrix eigenvalues remain well-defined. Westudy the consistency property and limiting distribution of these testsas dimensionality and sample size go to infinity together, with theirratio converging to a finite non-zero limit. We find that the existingtest for sphericity is robust against high dimensionality, but not thetest for equality of the covariance matrix to a given matrix. For thelatter test, we develop a new correction to the existing test statisticthat makes it robust against high dimensionality.

Regulation of the expression of Fit insect toxin locus genes in the root-associated biocontrol pseudomonad CHA0

The root-colonizing Pseudomonas fluorescens strain CHA0 is a biocontrol agent of soil-borne plant diseases caused by fungal and oomycete pathogens. Remarkably, this plant-beneficial pseudomonad is also endowed with potent insecticidal activity that depends on the production of a large protein toxin termed Fit (for P. fluorescens insecticidal toxin). In our present work, the genomic locus encoding the P. fluorescens insect toxin is subjected to a detailed molecular analysis. The Fit toxin gene fitD is flanked upstream by the fitABC genes and downstream by the fitE gene that encode the ABC transporter, membrane fusion, and outer membrane efflux components of a type I protein secretion system predicted to function in toxin export. The fitF, fitG, and fitH genes located downstream of fitE code for regulatory proteins having domain structures typical of signal transduction histidine kinases, LysR-type transcriptional regulators, and response regulators, respectively. The role of these insect toxin locus-associated control elements is being investigated with mutants defective for the regulatory genes and with GFP-based reporter fusions to putative promoter regions upstream of the transporter genes fitA and fitE, the toxin gene fitD, and the regulatory genes fitF and fitH. Our preliminary findings suggest that the three regulators interact with known global regulators of biocontrol factor expression to control Fit toxin expression and secretion.

Exact and approximate stepdown methods for multiple hypothesis testing

Consider the problem of testing k hypotheses simultaneously. In this paper,we discuss finite and large sample theory of stepdown methods that providecontrol of the familywise error rate (FWE). In order to improve upon theBonferroni method or Holm's (1979) stepdown method, Westfall and Young(1993) make eective use of resampling to construct stepdown methods thatimplicitly estimate the dependence structure of the test statistics. However,their methods depend on an assumption called subset pivotality. The goalof this paper is to construct general stepdown methods that do not requiresuch an assumption. In order to accomplish this, we take a close look atwhat makes stepdown procedures work, and a key component is a monotonicityrequirement of critical values. By imposing such monotonicity on estimatedcritical values (which is not an assumption on the model but an assumptionon the method), it is demonstrated that the problem of constructing a validmultiple test procedure which controls the FWE can be reduced to the problemof contructing a single test which controls the usual probability of a Type 1error. This reduction allows us to draw upon an enormous resamplingliterature as a general means of test contruction.

Audit report on the Iowa Department of Human Services – Case Management Unit for the year ended June 30, 2007

Audit report on the Iowa Department of Human Services – Case Management Unit for the year ended June 30, 2007

Geoquímica das rochas magmáticas da Ilha Brava:implicações para a origem e variabilidade espaço-temporal do ponto quente de Cabo Verde

A Ilha Brava (64 km2) localiza-se no extremo oeste do alinhamento meridional do arquipélago de Cabo Verde, sendo constituída por três unidades vulcanoestratigráficas que testemunham uma história vulcânica de cerca de 3 Ma. Foi escolhida como objecto de estudo na tentativa de contribuir para a melhor compreensão da origem e local de residência de alguns dos componentes mantélicos, das relações genéticas entre magmas silicatados e carbonatíticos, dos processos de desgaseificação de magmas carbonatíticos e da origem do carbono neles contido, da variabilidade geoquímica espaço-temporal do ponto quente de Cabo Verde, e da profundidade de enraizamento da sua pluma mantélica. A Brava contrasta com as outras ilhas do arquipélago por definir dois grupos geoquímicos distintos. As amostras do Complexo Basal, sendo menos radiogénicas Sr e He e mais em Nd e Pb que a unidade mais recente, são idênticas às ilhas do norte e explicáveis pela mistura de um componente do tipo HIMU (crosta oceânica reciclada com 1.3 Ga) e manto inferior (3He/4He até 12.85 Ra), carreados para a “superfície” pela pluma mantélica. Tal como é usual nas ilhas do sul, a Unidade Superior sugere, em adição, o envolvimento de um componente com afinidade EM-1, aqui considerado representativo de fragmentos de litosfera subcontinental dispersos na astenosfera. Os carbonatitos definem dois grupos com assinaturas isotópicas semelhantes às das rochas silicatadas contemporâneas. Os calciocarbonatitos resultaram de imiscibilidade líquida produzindo magmas nefeliníticos e carbonatíticos, enquanto os magnesiocarbonatitos representam líquidos residuais após a fraccionação de calcite a partir de um magma carbonatítico. As muito baixas razões 4He/40Ar* (≈ 0.25) que caracterizam a fonte dos carbonatitos do Complexo Basal indicam uma evolução a partir de razões K/U muito mais elevadas que o conjunto dos reservatórios silicatados da Terra. Sendo estes valores, também incompatíveis com a reciclagem de componentes crostais, foram aqui interpretados como podendo reflectir a contribuição do “missing Ar reservoir” para a fonte mantélica dos carbonatitos.

Is the observed persistence spurious? A test for fractional integration versus short memory and structural breaks

Although it is commonly accepted that most macroeconomic variables are nonstationary, it is often difficult to identify the source of the non-stationarity. In particular, it is well-known that integrated and short memory models containing trending components that may display sudden changes in their parameters share some statistical properties that make their identification a hard task. The goal of this paper is to extend the classical testing framework for I(1) versus I(0)+ breaks by considering a a more general class of models under the null hypothesis: non-stationary fractionally integrated (FI) processes. A similar identification problem holds in this broader setting which is shown to be a relevant issue from both a statistical and an economic perspective. The proposed test is developed in the time domain and is very simple to compute. The asymptotic properties of the new technique are derived and it is shown by simulation that it is very well-behaved in finite samples. To illustrate the usefulness of the proposed technique, an application using inflation data is also provided.

Experimental support for the make-up hypothesis in nestling tawny owls (Strix aluco)

Body condition can affect coloration of traits used in sexual selection and parent-offspring communication by inducing rapid internal changes in pigment concentration or aggregation, thickness of collagen arrays, or blood flux. The recent "makeup hypothesis" proposes an alternative honesty-reinforcing mechanism, with behaviorally mediated deposition of substances on body surfaces ("cosmetics") generating covariation between body condition and coloration. In birds, the uropygial gland wax is actively spread on feathers using the bill and changes in its deposition rate may cause rapid changes in bill and plumage coloration. Using tawny owl nestlings, we tested 3 predictions of the makeup hypothesis, namely that 1) quantity of preen wax deposited accounts for variation in bill coloration, 2) an immune stimulation (induced by injection of a lipopolysaccharide [LPS]) impairs uropygial gland wax production, and 3) different intensities of immune stimulations (strong vs. weak stimulations induced by injections of either LPS or phytohemagglutinin [PHA], respectively) and high versus low food availabilities result in different bill colorations. We found that 1) preen wax reduced bill brightness, 2) a challenge with LPS impaired uropygial gland development, and 3) nestlings challenged with LPS had a brighter bill than PHA-injected nestlings, whereas diet manipulation had no significant effect. Altogether, these results suggest that a strong immune challenge may decrease preen wax deposition rate on the bill of nestling birds, at least by impairing gland wax production, which causes a change in bill coloration. Our study therefore highlights that cosmetic colors might signal short-term variation in immunological status.

Preferential synthesis of prostaglandin D2 by neurons and prostaglandin E2 by fibroblasts and nonneuronal cells in chick dorsal root ganglia.

To determine the type and the relative amount of prostaglandins (PGs) synthesized by various neural tissues, homogenates of meninges, dorsal root ganglia (DRG) capsules, decapsulated DRG, and unsheathed sciatic nerves were incubated with [1-14C]arachidonic acid. Homogenates of cultured cells (meningeal cells, fibroblasts, and nonneuronal or neuronal DRG cells) were used to specify the cells producing particular PGs. The highest synthetic capacity was found in fibroblast-rich tissues (meninges and DRG capsules) and in cultures of meningeal cells or fibroblasts. Two major cyclooxygenase products were formed: [14C]PGE2 and an unusual 14C-labeled compound, Y. The accumulation of compound Y, corresponding probably to 15-hydroperoxy PGE2, was completely impaired by addition of exogenous GSH, which conversely enhanced the synthesis of [14C]PGE2 and promoted the formation of [14C]PGD2. In contrast, decapsulated DRG or unsheathed sciatic nerves displayed a 10-20 times lower capacity to synthesize PGs than fibroblast-rich tissues and produced mainly [14C]PGE2 and [14C]PGD2. In this case, [14C]PGE2 or [14C]PGD2 synthesis was neither enhanced nor promoted by addition of exogenous GSH. Neuron-enriched DRG cell cultures allowed us to specify that [14C]PGD2 is the major prostanoid produced by primary sensory neurons as compared with nonneuronal DRG cells. Because PGD2 synthesis in DRG and more specifically in DRG neurons does not depend on exogenous GSH and differs from PGD2 synthesis in fibroblast-rich tissues, it is concluded that at least two distinct enzymatic processes contribute to PGD2 formation in the nervous system.(ABSTRACT TRUNCATED AT 250 WORDS)