Identificação de parâmetros modais utilizando apenas as respostas da estrutura: identificação estocástica de subespaço e decomposição no domínio da frequência

Pós-graduação em Engenharia Mecânica - FEIS

Identificação dos parâmetros modais utilizando apenas as respostas da estrutura: identificação no domínio do tempo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estudo de técnicas de análise modal operacional em sistemas sujeitos a excitações aleatórias com a presença de componente harmônico

A metodologia tradicional de identificação de parâmetros na análise modal de estruturas é realizada a partir de sinais medidos de força de entrada e de movimento de resposta da estrutura em condições laboratoriais controladas. Entretanto, quando é necessária a obtenção dos parâmetros modais de estruturas de máquinas em operação, as condições para controlar e medir a excitação nestas situações impossibilita a realização da análise modal tradicional. Neste caso, o teste modal é realizado utilizando somente dados de resposta do sistema. A Análise Modal Operacional (AMO) é um método de extração modal em que nenhuma excitação artificial necessita ser aplicada ao sistema, utilizando-se a própria excitação operacional como entrada para medição da resposta do sistema. A técnica clássica de Análise Modal Operacional NExT considera, para isso, que a excitação operacional do sistema seja um ruído branco. Esta técnica faz a consideração de que as funções de correlação obtidas de estruturas podem ser consideradas como funções de resposta ao impulso e então métodos tradicionais de identificação modal no domínio do tempo podem ser empregados. Entretanto, caso a excitação operacional contenha componentes harmônicos que se sobressaiam, estes podem ser confundidos como modos naturais do sistema. Neste trabalho é demonstrada que através da função densidade de probabilidade da banda estreita contendo o pico de um modo, é possível identifica-lo como natural ou operacional (proveniente da excitação operacional da estrutura). É apresentada também uma modificação no método de identificação modal Exponencial Complexa Mínimos Quadrados (LSCE), passando a considerar sinais harmônicos de freqüências conhecidas presentes na excitação operacional, em um ensaio utilizando a técnica NExT. Para validação desses métodos, utiliza-se um modelo teórico de parâmetros modais conhecidos analiticamente e como estudo de caso experimental, um sistema formado por uma viga bi-apoiada suportando um motor elétrico com desbalanceamento de massa.

Programa computacional com interface gráfica para identificação estocástica de parâmetros modais de estruturas civis: aplicação em pontes e torres de linha de transmissão

O interesse no comportamento dinâmico de estruturas metálicas vem crescendo nas últimas décadas no Brasil, em decorrência de acidentes com colapso total de algumas estruturas devido às vibrações ambientes em diversas regiões do país. Na região amazônica, por exemplo, onde esse tipo de estrutura deve vencer obstáculos como florestas e rios de grande largura, casos de colapso total de estruturas metálicas também são relatados. O foco principal dessa dissertação é o estudo do comportamento modal de estruturas metálicas submetidas às vibrações ambientes cuja magnitude das forças de excitação é desconhecida. Dois estudos de caso são apresentados: no primeiro deles, o comportamento modal de uma torre de linha de transmissão de energia elétrica é investigado; e no segundo caso, tanto o comportamento modal como os níveis de desconforto de uma ponte são estudados. Os estudos realizados neste último caso visam avaliar os níveis de desconforto da ponte quando submetida às excitações ambientes como rajadas de vento e o tráfego de veículo de acordo a norma brasileira NBR 8800 (1986). Em ambos os estudos de caso foram realizadas análises experimentais e computacionais. Na etapa experimental, ambas as estruturas foram monitoradas com emprego de um conjunto de acelerômetros de baixa freqüência e também de um sistema de aquisição apropriados para ensaios de vibração de estruturas civis. Como é muito difícil medir a magnitude das forças de excitação ambientes, foram utilizados os métodos de identificação estocásticos SSI-DATA e SSI-COV para extração de parâmetros modais de estruturas civis a partir somente dos dados de resposta coletados nos ensaios de vibração. Entre as atividades desenvolvidas nessa etapa, destaca-se a criação de um programa computacional com recursos do Graphical User Interface (GUI) da plataforma Matlab®, destinado à identificação modal de estruturas civis com o emprego dos referidos métodos estocásticos. Esse programa é constituído de três módulos: o primeiro é destinado ao processamento e tratamento dos sinais coletados nos ensaios de vibração; o segundo é utilizado para adicionar as informações do posicionamento dos acelerômetros utilizados nos arquivos dos sinais de resposta; e o terceiro e último módulo é destinado à identificação a partir dos arquivos de dados de resposta processados nos dois primeiros módulos. Na etapa das análises teóricas, foram criados modelos numéricos utilizando o método dos elementos finitos para simular o comportamento dinâmico das estruturas analisadas. Comparando os resultados obtidos em ambas as etapas de análise, verifica-se que resultados experimentais e teóricos apresentaram parâmetros bastante próximos entre si nos primeiros modos de vibração. Os resultados experimentais mostraram que ambos os métodos estocásticos foram muito eficientes na identificação das estruturas ensaiadas.

Seletividade espacial de cor do potencial cortical provocado visual pseudoaleatório

A seletividade espacial para cor tem sido investigada usando métodos eletrofisiológicos invasivos e não invasivos, e métodos psicofísicos. Em eletrofisiologia cortical visual não invasiva este tópico foi investigado usando métodos convencionais de estimulação periódica e extração de respostas por promediação simples. Novos métodos de estimulação (apresentação pseudo-aleatória) e extração de respostas corticais não invasivas (correlação cruzada) foram desenvolvidos e ainda não foram usados para investigar a seletividade espacial de cor de respostas corticais. Este trabalho objetivou introduzir esse novo método de eletrofisiologia pseudoaleatória para estudar a seletividade espacial de cor. Foram avaliados 14 tricromatas e 16 discromatópsicos com acuidade visual normal ou corrigida. Os voluntários foram avaliados pelo anomaloscópio HMC e teste de figuras de Ishihara para caracterizar a visão de cores quanto à presença de tricromacia. Foram usadas redes senoidais, 8º de ângulo visual, vermelho-verde para 8 frequências espaciais entre 0,2 a 10 cpg. O estímulo foi temporalmente modulado por uma sequência-m binária em um modo de apresentação de padrão reverso. O sistema VERIS foi usado para extrair o primeiro e o segundo slice do kernel de segunda ordem (K2.1 e K2.2, respectivamente). Após a modelagem da resposta às frequências espaciais com função de diferença de gaussianas, extraiu-se a frequência espacial ótima e banda de frequências com amplitudes acima de ¾ da amplitude máxima da função para servirem como indicadores da seletividade espacial da função. Também foi estimada a acuidade visual cromática pelo ajuste de uma função linear aos dados de amplitude a partir da frequência espacial do pico de amplitude até a mais alta frequência espacial testada. Em tricromatas, foi encontrada respostas cromáticas no K2.1 e no K2.2 que apresentaram seletividade espacial diferentes. Os componentes negativos do K2.1 e do K2.2 apresentaram sintonia passa-banda e o componente positivo do K2.1 apresentou sintonia passa-baixa. A acuidade visual estimada de todos os componentes estudados foi próxima àquelas encontradas por Mullen (1985) e Kelly (1983). Diferentes componentes celulares podem estar contribuindo para a geração do VECP pseudoaleatório. Este novo método se candidata a ser uma importante ferramenta para a avaliação não invasiva da visão de cores em humanos.

A oscilação Madden - Julian na Amazônia Oriental: variáveis superfíciais

Tendo como foco as múltiplas escalas de tempo que atuam na Amazônia, este trabalho foi desenvolvido com o objetivo de investigar a possível influencia da Oscilação Madden – Julian (OMJ) em elementos turbulentos da CLP. A OMJ foi identificada a partir de 30 anos de dados de reanálise de radiação de onda longa (ROL) e componente zonal do vento (u). As grandezas turbulentas foram estudadas a partir da variância, covariância e coeficiente de correlação de um conjunto de dados de resposta rápida coletado na torre micrometeorológica de Caxiuanã (PA), e tratados com a Transformada em Ondeletas (TO) para se obter a contribuição de cada escala para estes momentos estatísticos. A análise dos 30 anos de dados de ROL e u mostrou que a ocorrência da OMJ está ligada com o fenômeno do El Niño/Oscilação Sul (ENOS), bem como influência do ENOS no tempo da região amazônica pode estar associado a presença ou não da OMJ. Foi observado que anos de El Niño tendem a desfavorecer a ocorrência da OMJ e anos de La Niña tendem a favorecer o desenvolvimento da oscilação. Caso uma OMJ se desenvolva durante um episodio de El Niño, a oscilação pode influenciar a temperatura, a velocidade do vento e a precipitação de forma diferente ao do El Niño. A análise por fase da OMJ mostrou que, em Belém, há diferença significativa na temperatura máxima e na precipitação entre cada fase, porém, a temperatura mínima e o módulo do vento apresentaram pouca diferença. Os fluxos cinemáticos turbulentos analisados, por escala, em três horários distintos, foram mais diferentes durante o período diurno, principalmente w’T’ e w’q’. A diferença entre fase ativa e fase inativa foi reduzindo com passar do dia, durante o período de transição dia – noite, poucas escalas tiveram diferença significativa, e durante a noite, nenhuma escala teve nível de confiança acima ou igual a 95%. Estes resultados indicam que a convecção diurna é o mecanismo responsável por esta diferença e como a OMJ atua como uma grande célula convectiva, a convecção local é amplificada, explicando a grande diferença observada entre as fases durante o período diurno.

Photoperiod modulation of aggressive behavior is independent of androgens in a tropical cichlid fish

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Psychological therapies for panic disorder with or without agoraphobia in adults: a network meta-analysis.

BACKGROUND Panic disorder is characterised by the presence of recurrent unexpected panic attacks, discrete periods of fear or anxiety that have a rapid onset and include symptoms such as racing heart, chest pain, sweating and shaking. Panic disorder is common in the general population, with a lifetime prevalence of 1% to 4%. A previous Cochrane meta-analysis suggested that psychological therapy (either alone or combined with pharmacotherapy) can be chosen as a first-line treatment for panic disorder with or without agoraphobia. However, it is not yet clear whether certain psychological therapies can be considered superior to others. In order to answer this question, in this review we performed a network meta-analysis (NMA), in which we compared eight different forms of psychological therapy and three forms of a control condition. OBJECTIVES To assess the comparative efficacy and acceptability of different psychological therapies and different control conditions for panic disorder, with or without agoraphobia, in adults. SEARCH METHODS We conducted the main searches in the CCDANCTR electronic databases (studies and references registers), all years to 16 March 2015. We conducted complementary searches in PubMed and trials registries. Supplementary searches included reference lists of included studies, citation indexes, personal communication to the authors of all included studies and grey literature searches in OpenSIGLE. We applied no restrictions on date, language or publication status. SELECTION CRITERIA We included all relevant randomised controlled trials (RCTs) focusing on adults with a formal diagnosis of panic disorder with or without agoraphobia. We considered the following psychological therapies: psychoeducation (PE), supportive psychotherapy (SP), physiological therapies (PT), behaviour therapy (BT), cognitive therapy (CT), cognitive behaviour therapy (CBT), third-wave CBT (3W) and psychodynamic therapies (PD). We included both individual and group formats. Therapies had to be administered face-to-face. The comparator interventions considered for this review were: no treatment (NT), wait list (WL) and attention/psychological placebo (APP). For this review we considered four short-term (ST) outcomes (ST-remission, ST-response, ST-dropouts, ST-improvement on a continuous scale) and one long-term (LT) outcome (LT-remission/response). DATA COLLECTION AND ANALYSIS As a first step, we conducted a systematic search of all relevant papers according to the inclusion criteria. For each outcome, we then constructed a treatment network in order to clarify the extent to which each type of therapy and each comparison had been investigated in the available literature. Then, for each available comparison, we conducted a random-effects meta-analysis. Subsequently, we performed a network meta-analysis in order to synthesise the available direct evidence with indirect evidence, and to obtain an overall effect size estimate for each possible pair of therapies in the network. Finally, we calculated a probabilistic ranking of the different psychological therapies and control conditions for each outcome. MAIN RESULTS We identified 1432 references; after screening, we included 60 studies in the final qualitative analyses. Among these, 54 (including 3021 patients) were also included in the quantitative analyses. With respect to the analyses for the first of our primary outcomes, (short-term remission), the most studied of the included psychological therapies was CBT (32 studies), followed by BT (12 studies), PT (10 studies), CT (three studies), SP (three studies) and PD (two studies).The quality of the evidence for the entire network was found to be low for all outcomes. The quality of the evidence for CBT vs NT, CBT vs SP and CBT vs PD was low to very low, depending on the outcome. The majority of the included studies were at unclear risk of bias with regard to the randomisation process. We found almost half of the included studies to be at high risk of attrition bias and detection bias. We also found selective outcome reporting bias to be present and we strongly suspected publication bias. Finally, we found almost half of the included studies to be at high risk of researcher allegiance bias.Overall the networks appeared to be well connected, but were generally underpowered to detect any important disagreement between direct and indirect evidence. The results showed the superiority of psychological therapies over the WL condition, although this finding was amplified by evident small study effects (SSE). The NMAs for ST-remission, ST-response and ST-improvement on a continuous scale showed well-replicated evidence in favour of CBT, as well as some sparse but relevant evidence in favour of PD and SP, over other therapies. In terms of ST-dropouts, PD and 3W showed better tolerability over other psychological therapies in the short term. In the long term, CBT and PD showed the highest level of remission/response, suggesting that the effects of these two treatments may be more stable with respect to other psychological therapies. However, all the mentioned differences among active treatments must be interpreted while taking into account that in most cases the effect sizes were small and/or results were imprecise. AUTHORS' CONCLUSIONS There is no high-quality, unequivocal evidence to support one psychological therapy over the others for the treatment of panic disorder with or without agoraphobia in adults. However, the results show that CBT - the most extensively studied among the included psychological therapies - was often superior to other therapies, although the effect size was small and the level of precision was often insufficient or clinically irrelevant. In the only two studies available that explored PD, this treatment showed promising results, although further research is needed in order to better explore the relative efficacy of PD with respect to CBT. Furthermore, PD appeared to be the best tolerated (in terms of ST-dropouts) among psychological treatments. Unexpectedly, we found some evidence in support of the possible viability of non-specific supportive psychotherapy for the treatment of panic disorder; however, the results concerning SP should be interpreted cautiously because of the sparsity of evidence regarding this treatment and, as in the case of PD, further research is needed to explore this issue. Behaviour therapy did not appear to be a valid alternative to CBT as a first-line treatment for patients with panic disorder with or without agoraphobia.

THE ESTROGENIC PROPERTIES OF O,P'-DDT

o,p'-DDT is a major component of the pesticide DDT (dichlorodiphenyltrichloro ethane, technical grade). Although possessing little insecticidal ability, the o,p'- isomer has two major biological activities which affect mammalian reproductive systems: it is estrogenic, and it induces hepatic mixed function oxidase enzymes. The focus of this work is the characterization of the estrogenic properties of o,p'-DDT in rodents.^ Initial studies examined the ability of o,p'-DDT to bind to and interact with elements of the estrogen receptor system. In an in vitro assay, DDT was shown to compete with 17(beta)-estradiol (E(,2)) for binding to cytoplasmic estrogen receptors (R(,c)) from normal and neoplastic tissues in two rodent species. The following phenomena were studied by measuring receptor levels from uteri (whole uteri and/or uterine cell types) taken from immature ovariectomized rats given one acute injection of o,p'-DDT or E(,2): the translocation of the R(,c) to the nucleus, nuclear receptor (R(,n)) retention patterns, and the subsequent reappearance of R(,c) in the cytoplasm.^ The magnitude and temporal patterns of the biological responses of uteri from similar immature rats were compared following o,p'-DDT and E(,2) exposure. The responses examined included increased "Induced Protein" synthesis (in vitro); and uterine wet weight, DNA synthesis and mitosis (in vivo).^ From dose-response data, correlations were made between R(,n) levels and levels of subsequent biological responses. The aim was to lend support to the premise that biological responses to o,p'-DDT exposure occur as a result of its interaction with the classical estrogen receptor system. Correlation coefficients of 0.95 to 0.98 were obtained between R(,n) levels and levels of responses examined, strongly supporting this hypothesis.^ Finally, o,p'-DDT was shown to be as effective as E(,2) in supporting the growth of a transplantable estrogen-responsive mammary tumor in adult rats (although it was unable to support the growth of a transplantable estrogen-dependent renal tumor in hamsters). While the positive result cannot be directly extrapolated to human or animal exposure to environmental estrogens, it suggests that hyperplastic responses of estrogen sensitive tissues should be considered as a possible toxicity of o,p'-DDT, related compounds having estrogenic properties, and other environmental estrogens. ^

Formative evaluation of a parental involvement program for obesity prevention with low-income elementary school children

This study addresses the responses to a postcard campaign with health messages targeting the parents of children in a sample of low-income elementary schools and assesses the feasibility and areas of possible improvements in such a project. The campaign was implemented in Spring 2009 with 4 th grade students (n=1070) in fifteen economically disadvantaged elementary schools in Travis County, Texas. Postcards were sent home with children, and parents filled out a feedback card that the children returned to school. Response data, in the form of self-administered feedback cards (n=2665) and one-on-one teacher interviews (n=8), were qualitatively analyzed using NVivo 8 software. Postcard reception and points of improvement were then identified from the significant themes that emerged including health, cessation or reduction of unhealthy behaviors, motivation, family, and the comprehension of abstract health concepts. ^ Responses to the postcard campaign were almost completely positive, with less than 1% of responses reporting some sort of dislike, and many parents reported a modification of their behavior. However, possible improvements that could be made to the campaign are: increased focus of the postcards on the parents as the target population, increased information about serving size, greater emphasis on the link between obesity and health, alteration of certain skin tones used in the graphical depiction of people on the cards, and smaller but more frequent incentives to return the feedback cards for the students. The program appears to be an effective method of communicating health messages to the parents of 4th grade children.^

Bayesian Adaptive Designs for Early Phase Clinical Trials

My dissertation focuses mainly on Bayesian adaptive designs for phase I and phase II clinical trials. It includes three specific topics: (1) proposing a novel two-dimensional dose-finding algorithm for biological agents, (2) developing Bayesian adaptive screening designs to provide more efficient and ethical clinical trials, and (3) incorporating missing late-onset responses to make an early stopping decision. Treating patients with novel biological agents is becoming a leading trend in oncology. Unlike cytotoxic agents, for which toxicity and efficacy monotonically increase with dose, biological agents may exhibit non-monotonic patterns in their dose-response relationships. Using a trial with two biological agents as an example, we propose a phase I/II trial design to identify the biologically optimal dose combination (BODC), which is defined as the dose combination of the two agents with the highest efficacy and tolerable toxicity. A change-point model is used to reflect the fact that the dose-toxicity surface of the combinational agents may plateau at higher dose levels, and a flexible logistic model is proposed to accommodate the possible non-monotonic pattern for the dose-efficacy relationship. During the trial, we continuously update the posterior estimates of toxicity and efficacy and assign patients to the most appropriate dose combination. We propose a novel dose-finding algorithm to encourage sufficient exploration of untried dose combinations in the two-dimensional space. Extensive simulation studies show that the proposed design has desirable operating characteristics in identifying the BODC under various patterns of dose-toxicity and dose-efficacy relationships. Trials of combination therapies for the treatment of cancer are playing an increasingly important role in the battle against this disease. To more efficiently handle the large number of combination therapies that must be tested, we propose a novel Bayesian phase II adaptive screening design to simultaneously select among possible treatment combinations involving multiple agents. Our design is based on formulating the selection procedure as a Bayesian hypothesis testing problem in which the superiority of each treatment combination is equated to a single hypothesis. During the trial conduct, we use the current values of the posterior probabilities of all hypotheses to adaptively allocate patients to treatment combinations. Simulation studies show that the proposed design substantially outperforms the conventional multi-arm balanced factorial trial design. The proposed design yields a significantly higher probability for selecting the best treatment while at the same time allocating substantially more patients to efficacious treatments. The proposed design is most appropriate for the trials combining multiple agents and screening out the efficacious combination to be further investigated. The proposed Bayesian adaptive phase II screening design substantially outperformed the conventional complete factorial design. Our design allocates more patients to better treatments while at the same time providing higher power to identify the best treatment at the end of the trial. Phase II trial studies usually are single-arm trials which are conducted to test the efficacy of experimental agents and decide whether agents are promising to be sent to phase III trials. Interim monitoring is employed to stop the trial early for futility to avoid assigning unacceptable number of patients to inferior treatments. We propose a Bayesian single-arm phase II design with continuous monitoring for estimating the response rate of the experimental drug. To address the issue of late-onset responses, we use a piece-wise exponential model to estimate the hazard function of time to response data and handle the missing responses using the multiple imputation approach. We evaluate the operating characteristics of the proposed method through extensive simulation studies. We show that the proposed method reduces the total length of the trial duration and yields desirable operating characteristics for different physician-specified lower bounds of response rate with different true response rates.

Optimal, minimax, and Bayesian two-stage designs in two-dose phase II clinical trials

Background: For most cytotoxic and biologic anti-cancer agents, the response rate of the drug is commonly assumed to be non-decreasing with an increasing dose. However, an increasing dose does not always result in an appreciable increase in the response rate. This may especially be true at high doses for a biologic agent. Therefore, in a phase II trial the investigators may be interested in testing the anti-tumor activity of a drug at more than one (often two) doses, instead of only at the maximum tolerated dose (MTD). This way, when the lower dose appears equally effective, this dose can be recommended for further confirmatory testing in a phase III trial under potential long-term toxicity and cost considerations. A common approach to designing such a phase II trial has been to use an independent (e.g., Simon's two-stage) design at each dose ignoring the prior knowledge about the ordering of the response probabilities at the different doses. However, failure to account for this ordering constraint in estimating the response probabilities may result in an inefficient design. In this dissertation, we developed extensions of Simon's optimal and minimax two-stage designs, including both frequentist and Bayesian methods, for two doses that assume ordered response rates between doses. ^ Methods: Optimal and minimax two-stage designs are proposed for phase II clinical trials in settings where the true response rates at two dose levels are ordered. We borrow strength between doses using isotonic regression and control the joint and/or marginal error probabilities. Bayesian two-stage designs are also proposed under a stochastic ordering constraint. ^ Results: Compared to Simon's designs, when controlling the power and type I error at the same levels, the proposed frequentist and Bayesian designs reduce the maximum and expected sample sizes. Most of the proposed designs also increase the probability of early termination when the true response rates are poor. ^ Conclusion: Proposed frequentist and Bayesian designs are superior to Simon's designs in terms of operating characteristics (expected sample size and probability of early termination, when the response rates are poor) Thus, the proposed designs lead to more cost-efficient and ethical trials, and may consequently improve and expedite the drug discovery process. The proposed designs may be extended to designs of multiple group trials and drug combination trials.^

Modelagem de dados de resposta ao item sob efeito de speededness

Em testes nos quais uma quantidade considerável de indivíduos não dispõe de tempo suciente para responder todos os itens temos o que é chamado de efeito de Speededness. O uso do modelo unidimensional da Teoria da Resposta ao Item (TRI) em testes com speededness pode nos levar a uma série de interpretações errôneas uma vez que nesse modelo é suposto que os respondentes possuem tempo suciente para responder todos os itens. Nesse trabalho, desenvolvemos uma análise Bayesiana do modelo tri-dimensional da TRI proposto por Wollack e Cohen (2005) considerando uma estrutura de dependência entre as distribuições a priori dos traços latentes a qual modelamos com o uso de cópulas. Apresentamos um processo de estimação para o modelo proposto e fazemos um estudo de simulação comparativo com a análise realizada por Bazan et al. (2010) na qual foi utilizada distribuições a priori independentes para os traços latentes. Finalmente, fazemos uma análise de sensibilidade do modelo em estudo e apresentamos uma aplicação levando em conta um conjunto de dados reais proveniente de um subteste do EGRA, chamado de Nonsense Words, realizado no Peru em 2007. Nesse subteste os alunos são avaliados por via oral efetuando a leitura, sequencialmente, de 50 palavras sem sentidos em 60 segundos o que caracteriza a presença do efeito speededness.

Reliability measures for local nodes assessment in classification trees

Most of the modem developments with classification trees are aimed at improving their predictive capacity. This article considers a curiously neglected aspect of classification trees, namely the reliability of predictions that come from a given classification tree. In the sense that a node of a tree represents a point in the predictor space in the limit, the aim of this article is the development of localized assessment of the reliability of prediction rules. A classification tree may be used either to provide a probability forecast, where for each node the membership probabilities for each class constitutes the prediction, or a true classification where each new observation is predictively assigned to a unique class. Correspondingly, two types of reliability measure will be derived-namely, prediction reliability and classification reliability. We use bootstrapping methods as the main tool to construct these measures. We also provide a suite of graphical displays by which they may be easily appreciated. In addition to providing some estimate of the reliability of specific forecasts of each type, these measures can also be used to guide future data collection to improve the effectiveness of the tree model. The motivating example we give has a binary response, namely the presence or absence of a species of Eucalypt, Eucalyptus cloeziana, at a given sampling location in response to a suite of environmental covariates, (although the methods are not restricted to binary response data).

System identification of linear vibrating structures

Methods of dynamic modelling and analysis of structures, for example the finite element method, are well developed. However, it is generally agreed that accurate modelling of complex structures is difficult and for critical applications it is necessary to validate or update the theoretical models using data measured from actual structures. The techniques of identifying the parameters of linear dynamic models using Vibration test data have attracted considerable interest recently. However, no method has received a general acceptance due to a number of difficulties. These difficulties are mainly due to (i) Incomplete number of Vibration modes that can be excited and measured, (ii) Incomplete number of coordinates that can be measured, (iii) Inaccuracy in the experimental data (iv) Inaccuracy in the model structure. This thesis reports on a new approach to update the parameters of a finite element model as well as a lumped parameter model with a diagonal mass matrix. The structure and its theoretical model are equally perturbed by adding mass or stiffness and the incomplete number of eigen-data is measured. The parameters are then identified by an iterative updating of the initial estimates, by sensitivity analysis, using eigenvalues or both eigenvalues and eigenvectors of the structure before and after perturbation. It is shown that with a suitable choice of the perturbing coordinates exact parameters can be identified if the data and the model structure are exact. The theoretical basis of the technique is presented. To cope with measurement errors and possible inaccuracies in the model structure, a well known Bayesian approach is used to minimize the least squares difference between the updated and the initial parameters. The eigen-data of the structure with added mass or stiffness is also determined using the frequency response data of the unmodified structure by a structural modification technique. Thus, mass or stiffness do not have to be added physically. The mass-stiffness addition technique is demonstrated by simulation examples and Laboratory experiments on beams and an H-frame.