El planteamiento de problemas y la construcci??n del teorema de Bayes

Resumen basado en el de la publicaci??n

Ense??anza del teorema de Bayes con apoyo tecnol??gico

XII Jornadas de Investigaci??n en el Aula de Matem??ticas : estad??stica y azar, celebradas en Granada, noviembre y diciembre de 2006. Resumen tomado de la publicaci??n

Aplicação de modelo bayesiano empírico na análise espacial da ocorrência de hanseníase

OBJETIVO: Analisar a distribuição espacial da hanseníase, identificar áreas de possível sub-registro de casos ou de provável alta transmissão (risco) e verificar a associação dessa distribuição à existência de casos de formas multibacilares. MÉTODOS: O estudo foi realizado em Recife, PE, de acordo com 94 bairros analisados. A fonte de coleta de dados foi o Sistema de Informações sobre Agravos de Notificação do Ministério da Saúde. Foi adotada uma abordagem ecológica com utilização do método bayesiano empírico para suavização local de taxas, a partir de informações de bairros vizinhos por adjacência. RESULTADOS: A ocorrência média anual foi de 17,3% de casos novos em menores de 15 anos (28,3% de formas multibacilares), indicando um processo de intensa transmissão da doença. A análise da distribuição espacial de hanseníase apontou três áreas onde se concentram bairros com taxas de detecção elevadas e que possuem baixa condição de vida. CONCLUSÕES: O emprego do modelo bayesiano, baseado em informações de unidades espaciais vizinhas, permitiu estimar novamente indicadores epidemiológicos. Foi possível identificar áreas prioritárias para o programa de controle de hanseníase no município, tanto pelo elevado número de ocorrências correlacionado à presença de formas multibacilares de doença em menores de 15 anos quanto pela existência de subnotificação.

Modelagem Bayesiana do risco de infecção tuberculosa para estudos com perdas de seguimento

OBJETIVO: Desenvolver um modelo estatístico baseado em métodos Bayesianos para estimar o risco de infecção tuberculosa em estudos com perdas de seguimento, comparando-o com um modelo clássico determinístico. MÉTODOS: O modelo estocástico proposto é baseado em um algoritmo de amostradores de Gibbs, utilizando as informações de perdas de seguimento ao final de um estudo longitudinal. Para simular o número desconhecido de indivíduos reatores ao final do estudo e perdas de seguimento, mas não reatores no tempo inicial, uma variável latente foi introduzida no novo modelo. Apresenta-se um exercício de aplicação de ambos os modelos para comparação das estimativas geradas. RESULTADOS: As estimativas pontuais fornecidas por ambos os modelos são próximas, mas o modelo Bayesiano apresentou a vantagem de trazer os intervalos de credibilidade como medidas da variabilidade amostral dos parâmetros estimados. CONCLUSÕES: O modelo Bayesiano pode ser útil em estudos longitudinais com baixa adesão ao seguimento.

Análise probabilistica do desempenho de pontes existentes

Dissertação para Obtenção do Grau de Mestre em Engenharia Civil – Estruturas e Geotecnia pela Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa

Introdução à inferência bayesiana

Trata-se de uma simples introdução aos problemas da inferência Bayesiana em que se procura estabelecer o confronto com a inferência clássica. Depois de referir o princípio clássico da amostragem repetida passa a considerar-se do ponto de vista Bayesiano os principais processos inferenciais tais como: estimação, intervalos de credibilidade, predição e ensaio de hipóteses.

Uma introdução à regressão bayesiana

É apresentada uma introdução ao modelo de regressão linear do ponto de vista bayesiano. Para este feito, considera-se o modelo de regressão linear simples, introduzindo-se a hipótese simplificadora de que o parâmetro σ² (variância dos erros) é conhecido. São analisados os casos em que a distribuição a priori é não informativa e em que a distribuição a priori é conjugada (informativa). Por último, e com o objectivo de ilustrar os conceitos e as metodologias referidas, é apresentado um exemplo.

Análise preditiva: uma pequena introdução

Um dos problemas mais importantes da Estatística, pelo menos no que respeita às aplicações é sem dúvida o de predizer o futuro com base no resultado de experiência passada. Estranhamente no entanto, este problema não tem merecido, da parte dos Estatísticos, a atenção que se adivinharia da sua importância. Desenvolvimentos de metodologia Estatística têm-se centrado essencialmente em aspectos paramétricos e de modelação, sendo o problema da predição relegado para segundo plano, considerando talvez como mero “aparte”. O objectivo deste trabalho é precisamente o de fazer um pouco a história do problema da previsão estatística, apresentar a abordagem Bayesiana através de exemplos simples, fazendo um paralelo com soluções clássicas recentes.

SYPEC: desenvolvimento de classificadores para identificação automática da postura de sentado

Dissertação para obtenção do Grau de Mestre em Engenharia Biomédica

Cancer mortality inequalities in urban areas: a Bayesian small area analysis in Spanish cities

Background Intra-urban inequalities in mortality have been infrequently analysed in European contexts. The aim of the present study was to analyse patterns of cancer mortality and their relationship with socioeconomic deprivation in small areas in 11 Spanish cities. Methods It is a cross-sectional ecological design using mortality data (years 1996-2003). Units of analysis were the census tracts. A deprivation index was calculated for each census tract. In order to control the variability in estimating the risk of dying we used Bayesian models. We present the RR of the census tract with the highest deprivation vs. the census tract with the lowest deprivation. Results In the case of men, socioeconomic inequalities are observed in total cancer mortality in all cities, except in Castellon, Cordoba and Vigo, while Barcelona (RR = 1.53 95%CI 1.42-1.67), Madrid (RR = 1.57 95%CI 1.49-1.65) and Seville (RR = 1.53 95%CI 1.36-1.74) present the greatest inequalities. In general Barcelona and Madrid, present inequalities for most types of cancer. Among women for total cancer mortality, inequalities have only been found in Barcelona and Zaragoza. The excess number of cancer deaths due to socioeconomic deprivation was 16,413 for men and 1,142 for women. Conclusion This study has analysed inequalities in cancer mortality in small areas of cities in Spain, not only relating this mortality with socioeconomic deprivation, but also calculating the excess mortality which may be attributed to such deprivation. This knowledge is particularly useful to determine which geographical areas in each city need intersectorial policies in order to promote a healthy environment.

Municipal distribution of bladder cancer mortality in Spain: Possible role of mining and industry

BACKGROUND Spain shows the highest bladder cancer incidence rates in men among European countries. The most important risk factors are tobacco smoking and occupational exposure to a range of different chemical substances, such as aromatic amines. METHODS This paper describes the municipal distribution of bladder cancer mortality and attempts to "adjust" this spatial pattern for the prevalence of smokers, using the autoregressive spatial model proposed by Besag, York and Molliè, with relative risk of lung cancer mortality as a surrogate. RESULTS It has been possible to compile and ascertain the posterior distribution of relative risk for bladder cancer adjusted for lung cancer mortality, on the basis of a single Bayesian spatial model covering all of Spain's 8077 towns. Maps were plotted depicting smoothed relative risk (RR) estimates, and the distribution of the posterior probability of RR>1 by sex. Towns that registered the highest relative risks for both sexes were mostly located in the Provinces of Cadiz, Seville, Huelva, Barcelona and Almería. The highest-risk area in Barcelona Province corresponded to very specific municipal areas in the Bages district, e.g., Suría, Sallent, Balsareny, Manresa and Cardona. CONCLUSION Mining/industrial pollution and the risk entailed in certain occupational exposures could in part be dictating the pattern of municipal bladder cancer mortality in Spain. Population exposure to arsenic is a matter that calls for attention. It would be of great interest if the relationship between the chemical quality of drinking water and the frequency of bladder cancer could be studied.

Clinical audit of COPD patients requiring hospital admissions in Spain: AUDIPOC study.

BACKGROUNDS AUDIPOC is a nationwide clinical audit that describes the characteristics, interventions and outcomes of patients admitted to Spanish hospitals because of an exacerbation of chronic obstructive pulmonary disease (ECOPD), assessing the compliance of these parameters with current international guidelines. The present study describes hospital resources, hospital factors related to case recruitment variability, patients' characteristics, and adherence to guidelines. METHODOLOGY/PRINCIPAL FINDINGS An organisational database was completed by all participant hospitals recording resources and organisation. Over an 8-week period 11,564 consecutive ECOPD admissions to 129 Spanish hospitals covering 70% of the Spanish population were prospectively identified. At hospital discharge, 5,178 patients (45% of eligible) were finally included, and thus constituted the audited population. Audited patients were reassessed 90 days after admission for survival and readmission rates. A wide variability was observed in relation to most variables, hospital adherence to guidelines, and readmissions and death. Median inpatient mortality was 5% (across-hospital range 0-35%). Among discharged patients, 37% required readmission (0-62%) and 6.5% died (0-35%). The overall mortality rate was 11.6% (0-50%). Hospital size and complexity and aspects related to hospital COPD awareness were significantly associated with case recruitment. Clinical management most often complied with diagnosis and treatment recommendations but rarely (<50%) addressed guidance on healthy life-styles. CONCLUSIONS/SIGNIFICANCE The AUDIPOC study highlights the large across-hospital variability in resources and organization of hospitals, patient characteristics, process of care, and outcomes. The study also identifies resources and organizational characteristics associated with the admission of COPD cases, as well as aspects of daily clinical care amenable to improvement.

Efficacy of prescribed injectable diacetylmorphine in the Andalusian trial: Bayesian analysis of responders and non-responders according to a multi domain outcome index.

BACKGROUND The objective of this research was to evaluate data from a randomized clinical trial that tested injectable diacetylmorphine (DAM) and oral methadone (MMT) for substitution treatment, using a multi-domain dichotomous index, with a Bayesian approach. METHODS Sixty two long-term, socially-excluded heroin injectors, not benefiting from available treatments were randomized to receive either DAM or MMT for 9 months in Granada, Spain. Completers were 44 and data at the end of the study period was obtained for 50. Participants were determined to be responders or non responders using a multi-domain outcome index accounting for their physical and mental health and psychosocial integration, used in a previous trial. Data was analyzed with Bayesian methods, using information from a similar study conducted in The Netherlands to select a priori distributions. On adding the data from the present study to update the a priori information, the distribution of the difference in response rates were obtained and used to build credibility intervals and relevant probability computations. RESULTS In the experimental group (n = 27), the rate of responders to treatment was 70.4% (95% CI 53.287.6), and in the control group (n = 23), it was 34.8% (95% CI 15.354.3). The probability of success in the experimental group using the a posteriori distributions was higher after a proper sensitivity analysis. Almost the whole distribution of the rates difference (the one for diacetylmorphine minus methadone) was located to the right of the zero, indicating the superiority of the experimental treatment. CONCLUSION The present analysis suggests a clinical superiority of injectable diacetylmorphine compared to oral methadone in the treatment of severely affected heroin injectors not benefiting sufficiently from the available treatments. TRIAL REGISTRATION Current Controlled Trials ISRCTN52023186.

Efficacy and safety of acupuncture for the treatment of non-specific acute low back pain: a randomised controlled multicentre trial protocol [ISRCTN65814467]

BACKGROUND Low back pain and its associated incapacitating effects constitute an important healthcare and socioeconomic problem, as well as being one of the main causes of disability among adults of working age. The prevalence of non-specific low back pain is very high among the general population, and 60-70% of adults are believed to have suffered this problem at some time. Nevertheless, few randomised clinical trials have been made of the efficacy and efficiency of acupuncture with respect to acute low back pain. The present study is intended to assess the efficacy of acupuncture for acute low back pain in terms of the improvement reported on the Roland Morris Questionnaire (RMQ) on low back pain incapacity, to estimate the specific and non-specific effects produced by the technique, and to carry out a cost-effectiveness analysis. METHODS/DESIGN Randomised four-branch controlled multicentre prospective study made to compare semi-standardised real acupuncture, sham acupuncture (acupuncture at non-specific points), placebo acupuncture and conventional treatment. The patients are blinded to the real, sham and placebo acupuncture treatments. Patients in the sample present symptoms of non specific acute low back pain, with a case history of 2 weeks or less, and will be selected from working-age patients, whether in paid employment or not, referred by General Practitioners from Primary Healthcare Clinics to the four clinics participating in this study. In order to assess the primary and secondary result measures, the patients will be requested to fill in a questionnaire before the randomisation and again at 3, 12 and 48 weeks after starting the treatment. The primary result measure will be the clinical relevant improvement (CRI) at 3 weeks after randomisation. We define CRI as a reduction of 35% or more in the RMQ results. DISCUSSION This study is intended to obtain further evidence on the effectiveness of acupuncture on acute low back pain and to isolate the specific and non-specific effects of the treatment.

Reconeixement de punts clau en imatges mitjançant l'algorisme Random Ferns

Treball final de carrera basat en el reconeixement de punts clau en imatges mitjançant l'algorisme Random Ferns.