Applying the expanding photosphere and standardized candle methods to Type II-Plateau supernovae at cosmologically significant redshifts . The distance to SN 2013eq

Based on optical imaging and spectroscopy of the Type II-Plateau SN 2013eq, we present a comparative study of commonly used distance determination methods based on Type II supernovae. The occurrence of SN 2013eq in the Hubble flow (z = 0.041 ± 0.001) prompted us to investigate the implications of the difference between "angular" and "luminosity" distances within the framework of the expanding photosphere method (EPM) that relies upon a relation between flux and angular size to yield a distance. Following a re-derivation of the basic equations of the EPM for SNe at non-negligible redshifts, we conclude that the EPM results in an angular distance. The observed flux should be converted into the SN rest frame and the angular size, θ, has to be corrected by a factor of (1 + z)2. Alternatively, the EPM angular distance can be converted to a luminosity distance by implementing a modification of the angular size. For SN 2013eq, we find EPM luminosity distances of DL = 151 ± 18 Mpc and DL = 164 ± 20 Mpc by making use of different sets of dilution factors taken from the literature. Application of the standardized candle method for Type II-P SNe results in an independent luminosity distance estimate (DL = 168 ± 16 Mpc) that is consistent with the EPM estimate. Spectra of SN 2013eq are available in the Weizmann Interactive Supernova data REPository (WISeREP): http://wiserep.weizmann.ac.il

Comprendre et maîtriser le passage de type I à type II de puits quantiques d'In(x)Ga(1-x)As(y)Sb(1-y) sur substrat de GaSb

Les antimoniures sont des semi-conducteurs III-V prometteurs pour le développement de dispositifs optoélectroniques puisqu'ils ont une grande mobilité d'électrons, une large gamme spectrale d'émission ou de détection et offrent la possibilité de former des hétérostructures confinées dont la recombinaison est de type I, II ou III. Bien qu'il existe plusieurs publications sur la fabrication de dispositifs utilisant un alliage d'In(x)Ga(1-x)As(y)Sb(1-y) qui émet ou détecte à une certaine longueur d'onde, les détails, à savoir comment sont déterminés les compositions et surtout les alignements de bande, sont rarement explicites. Très peu d'études fondamentales sur l'incorporation d'indium et d'arsenic sous forme de tétramères lors de l'épitaxie par jets moléculaires existent, et les méthodes afin de déterminer l'alignement des bandes des binaires qui composent ces alliages donnent des résultats variables. Un modèle a été construit et a permis de prédire l'alignement des bandes énergétiques des alliages d'In(x)Ga(1-x)As(y)Sb(1-y) avec celles du GaSb pour l'ensemble des compositions possibles. Ce modèle tient compte des effets thermiques, des contraintes élastiques et peut aussi inclure le confinement pour des puits quantiques. De cette manière, il est possible de prédire la transition de type de recombinaison en fonction de la composition. Il est aussi montré que l'indium ségrègue en surface lors de la croissance par épitaxie par jets moléculaires d'In(x)Ga(1-x)Sb sur GaSb, ce qui avait déjà été observé pour ce type de matériau. Il est possible d'éliminer le gradient de composition à cette interface en mouillant la surface d'indium avant la croissance de l'alliage. L'épaisseur d'indium en surface dépend de la température et peut être évaluée par un modèle simple simulant la ségrégation. Dans le cas d'un puits quantique, il y aura une seconde interface GaSb sur In(x)Ga(1-x)Sb où l'indium de surface ira s'incorporer. La croissance de quelques monocouches de GaSb à basse température immédiatement après la croissance de l'alliage permet d'incorporer rapidement ces atomes d'indium et de garder la seconde interface abrupte. Lorsque la composition d'indium ne change plus dans la couche, cette composition correspond au rapport de flux d'atomes d'indium sur celui des éléments III. L'arsenic, dont la source fournit principalement des tétramères, ne s'incorpore pas de la même manière. Les tétramères occupent deux sites en surface et doivent interagir par paire afin de créer des dimères d'arsenic. Ces derniers pourront alors être incorporés dans l'alliage. Un modèle de cinétique de surface a été élaboré afin de rendre compte de la diminution d'incorporation d'arsenic en augmentant le rapport V/III pour une composition nominale d'arsenic fixe dans l'In(x)Ga(1-x)As(y)Sb(1-y). Ce résultat s'explique par le fait que les réactions de deuxième ordre dans la décomposition des tétramères d'arsenic ralentissent considérablement la réaction d'incorporation et permettent à l'antimoine d'occuper majoritairement la surface. Cette observation montre qu'il est préférable d'utiliser une source de dimères d'arsenic, plutôt que de tétramères, afin de mieux contrôler la composition d'arsenic dans la couche. Des puits quantiques d'In(x)Ga(1-x)As(y)Sb(1-y) sur GaSb ont été fabriqués et caractérisés optiquement afin d'observer le passage de recombinaison de type I à type II. Cependant, celui-ci n'a pas pu être observé puisque les spectres étaient dominés par un niveau énergétique dans le GaSb dont la source n'a pu être identifiée. Un problème dans la source de gallium pourrait être à l'origine de ce défaut et la résolution de ce problème est essentielle à la continuité de ces travaux.

Antimony-based type-II superlattice infrared detectors

Numerous applications within the mid- and long-wavelength infrared are driving the search for efficient and cost effective detection technologies in this regime. Theoretical calculations have predicted high performance for InAs/GaSb type-II superlattice structures, which rely on mature growth of III-V semiconductors and offer many levels of freedom in design due to band structure engineering. This work focuses on the fabrication and characterization of type-II superlattice infrared detectors. Standard UV-based photolithography was used combined with chemical wet or dry etching techniques in order to fabricate antinomy-based type-II superlattice infrared detectors. Subsequently, Fourier transform infrared spectroscopy and radiometric techniques were applied for optical characterization in order to obtain a detector's spectrum and response, as well as the overall detectivity in combination with electrical characterization. Temperature dependent electrical characterization was used to extract information about the limiting dark current processes. This work resulted in the first demonstration of an InAs/GaSb type-II superlattice infrared photodetector grown by metalorganic chemical vapor deposition. A peak detectivity of 1.6x10^9 Jones at 78 K was achieved for this device with a 11 micrometer zero cutoff wavelength. Furthermore the interband tunneling detector designed for the mid-wavelength infrared regime was studied. Similar results to those previously published were obtained.

Comprendre et maîtriser le passage de type I à type II de puits quantiques d'In(x)Ga(1-x)As(y)Sb(1-y) sur substrat de GaSb

Les antimoniures sont des semi-conducteurs III-V prometteurs pour le développement de dispositifs optoélectroniques puisqu'ils ont une grande mobilité d'électrons, une large gamme spectrale d'émission ou de détection et offrent la possibilité de former des hétérostructures confinées dont la recombinaison est de type I, II ou III. Bien qu'il existe plusieurs publications sur la fabrication de dispositifs utilisant un alliage d'In(x)Ga(1-x)As(y)Sb(1-y) qui émet ou détecte à une certaine longueur d'onde, les détails, à savoir comment sont déterminés les compositions et surtout les alignements de bande, sont rarement explicites. Très peu d'études fondamentales sur l'incorporation d'indium et d'arsenic sous forme de tétramères lors de l'épitaxie par jets moléculaires existent, et les méthodes afin de déterminer l'alignement des bandes des binaires qui composent ces alliages donnent des résultats variables. Un modèle a été construit et a permis de prédire l'alignement des bandes énergétiques des alliages d'In(x)Ga(1-x)As(y)Sb(1-y) avec celles du GaSb pour l'ensemble des compositions possibles. Ce modèle tient compte des effets thermiques, des contraintes élastiques et peut aussi inclure le confinement pour des puits quantiques. De cette manière, il est possible de prédire la transition de type de recombinaison en fonction de la composition. Il est aussi montré que l'indium ségrègue en surface lors de la croissance par épitaxie par jets moléculaires d'In(x)Ga(1-x)Sb sur GaSb, ce qui avait déjà été observé pour ce type de matériau. Il est possible d'éliminer le gradient de composition à cette interface en mouillant la surface d'indium avant la croissance de l'alliage. L'épaisseur d'indium en surface dépend de la température et peut être évaluée par un modèle simple simulant la ségrégation. Dans le cas d'un puits quantique, il y aura une seconde interface GaSb sur In(x)Ga(1-x)Sb où l'indium de surface ira s'incorporer. La croissance de quelques monocouches de GaSb à basse température immédiatement après la croissance de l'alliage permet d'incorporer rapidement ces atomes d'indium et de garder la seconde interface abrupte. Lorsque la composition d'indium ne change plus dans la couche, cette composition correspond au rapport de flux d'atomes d'indium sur celui des éléments III. L'arsenic, dont la source fournit principalement des tétramères, ne s'incorpore pas de la même manière. Les tétramères occupent deux sites en surface et doivent interagir par paire afin de créer des dimères d'arsenic. Ces derniers pourront alors être incorporés dans l'alliage. Un modèle de cinétique de surface a été élaboré afin de rendre compte de la diminution d'incorporation d'arsenic en augmentant le rapport V/III pour une composition nominale d'arsenic fixe dans l'In(x)Ga(1-x)As(y)Sb(1-y). Ce résultat s'explique par le fait que les réactions de deuxième ordre dans la décomposition des tétramères d'arsenic ralentissent considérablement la réaction d'incorporation et permettent à l'antimoine d'occuper majoritairement la surface. Cette observation montre qu'il est préférable d'utiliser une source de dimères d'arsenic, plutôt que de tétramères, afin de mieux contrôler la composition d'arsenic dans la couche. Des puits quantiques d'In(x)Ga(1-x)As(y)Sb(1-y) sur GaSb ont été fabriqués et caractérisés optiquement afin d'observer le passage de recombinaison de type I à type II. Cependant, celui-ci n'a pas pu être observé puisque les spectres étaient dominés par un niveau énergétique dans le GaSb dont la source n'a pu être identifiée. Un problème dans la source de gallium pourrait être à l'origine de ce défaut et la résolution de ce problème est essentielle à la continuité de ces travaux.

Prevalence of diabetic retinopathy in type II diabetic patients in a health facility in Karachi, Pakistan

Purpose: To study the prevalence of diabetic retinopathy in known diabetic patients attending the diabetes outpatient department (OPD) of Sind Government Hospital (SGH), New Karachi Township (NKT), Pakistan. Methods: A cross-sectional observational study was carried out at the diabetic OPD of SGH, NKT over the period of 17 months from March 2013 to August 2014. The selected patients were interviewed based on a questionnaire; laboratory investigations were performed and examination of the eye was conducted by a specialist ophthalmologist. One hundred and fifty four (154) subjects out of 305 patients contacted fully completed the study. Stratification of the data on gender basis was done, after which one-way ANOVA, χ2 test of correlation, binary logistic regression and relative risk analyses were carried out using SPSS-20. Results: It was found that 66 % men of normal weight (χ2 = 4.667, p < 0.05) and 60.7 % overweight women (χ2 = 5.143, p < 0.05) were more likely to present with diabetic retinopathy (DR). Prevalence of DR in this target population was 42.86 % (N = 66). Background DR (56 %) and maculopathy (23 %) were more prevalent than advanced conditions of the disease. There was no gender-based preponderance for the presentation of DR (χ2 = 0.663; p > 0.05), nor was this seen in different ethnic groups. Conclusion: DR is prevalent in the target population and, therefore, emphasis should be on the education of the local population of New Karachi Township on how to attain euglycemic state with regular medication, diet and exercise to avoid development and progress of DR.

EBV Type II latency relies on PARP1 activity and is essential for gastric epithelial cell transformation in EBV-associated Gastric Cancer (EBVaGC)

Epstein-Barr virus (EBV) establishes a lifelong asymptomatic infection by replicating its chromatinized genome, called episome, together with the host genome. EBV exhibits different latency-associated transcriptional repertoires that mirror its three-dimensional structures of the genome. CTCF, Cohesin and PARP1 are involved in maintaining viral latency and establishing episome architecture. Epstein-Barr virus-associated gastric cancer (EBVaGC) represents almost 10% of all gastric cancers globally. EBVaGC exhibit an intermediate viral transcription profile known as "Latency II", expressing specific viral genes and non-coding RNAs. In this study, we investigated the impact of PARP1 inhibition on CTCF/Cohesin binding in Type II latency. We observed a destabilization of the binding of both factors, leading to a disrupted three-dimensional architecture of the episomes and consequently, an altered viral gene expression. Despite sharing the same CTCF binding profile, Type I, II, and III latencies display different 3D episomal structures that correlate with variations in viral gene expression. Additionally, our analysis of H3K27ac-enriched chromatin interactions revealed differences between Type II latency episomes and a link to cellular transformation through docking of the EBV episomes at specific sites of the Human genome, thus promoting oncogene expression. Overall, this work provides insights into the role of PARP1 in maintaining active latency and novel mechanisms of EBV-induced cellular transformation.

Comparative analysis between statistical and artificial intelligence models in business failure prediction

A growing number of predicting corporate failure models has emerged since 60s. Economic and social consequences of business failure can be dramatic, thus it is not surprise that the issue has been of growing interest in academic research as well as in business context. The main purpose of this study is to compare the predictive ability of five developed models based on three statistical techniques (Discriminant Analysis, Logit and Probit) and two models based on Artificial Intelligence (Neural Networks and Rough Sets). The five models were employed to a dataset of 420 non-bankrupt firms and 125 bankrupt firms belonging to the textile and clothing industry, over the period 2003–09. Results show that all the models performed well, with an overall correct classification level higher than 90%, and a type II error always less than 2%. The type I error increases as we move away from the year prior to failure. Our models contribute to the discussion of corporate financial distress causes. Moreover it can be used to assist decisions of creditors, investors and auditors. Additionally, this research can be of great contribution to devisers of national economic policies that aim to reduce industrial unemployment.

Comparative Analysis between Statistical and Artificial Intelligence Models in Business Failure Prediction

A growing number of predicting corporate failure models has emerged since 60s. Economic and social consequences of business failure can be dramatic, thus it is not surprise that the issue has been of growing interest in academic research as well as in business context. The main purpose of this study is to compare the predictive ability of five developed models based on three statistical techniques (Discriminant Analysis, Logit and Probit) and two models based on Artificial Intelligence (Neural Networks and Rough Sets). The five models were employed to a dataset of 420 non-bankrupt firms and 125 bankrupt firms belonging to the textile and clothing industry, over the period 2003–09. Results show that all the models performed well, with an overall correct classification level higher than 90%, and a type II error always less than 2%. The type I error increases as we move away from the year prior to failure. Our models contribute to the discussion of corporate financial distress causes. Moreover it can be used to assist decisions of creditors, investors and auditors. Additionally, this research can be of great contribution to devisers of national economic policies that aim to reduce industrial unemployment.

Sintomas somatoformes em Medicina Geral e Familiar

RESUMO: Os doentes que vão à consulta com sintomas físicos para os quais o médico não encontra uma causa orgânica, são frequentes na Medicina Geral e Familiar, embora não sejam específicos, e são o objecto de estudo do presente trabalho. Não deixar uma doença por diagnosticar (erro de tipo II) sem contudo rotular pessoas saudáveis como doentes (erro de tipo I) é um dos mais difíceis problemas da prática clínica diária e para o qual não existe uma orientação infalível e não é previsível que alguma vez venha a existir. Mas se o diagnóstico de doença ou não-doença é difícil, o tratamento dos que não tem doença, embora com sofrimento, também não é mais fácil, sobretudo, se estivermos conscientes do sofrimento que determina a medicalização e a iatrogenia. O presente trabalho está estruturado em 3 partes. Na primeira parte descrevemos a nossa visão integrada do que apreendemos da leitura da literatura publicada e à qual tivemos acesso. À semelhança do que se verifica na maioria das áreas da Medicina esta é também uma em que o conhecimento cresce a ritmo exponencial. No entanto, à falta de conceitos precisos e de definições consensuais sucede um conhecimento, por vezes, pouco consistente, tanto mais que estamos na fronteira entre a cultura leiga e a cultura erudita médica em que os significados devem, a todo o momento, ser validados. Fizemos uma revisão sobre as definições do que está em questão, sobre o que se sabe sobre a frequência dos sintomas físicos na população, quantos recorrem aos serviços de saúde e o que lhes é feito. Passámos por uma revisão da fisiologia destes sintomas e algumas explicações fisiopatológicas para terminarmos sobre o que os doentes pensam sobre os seus sintomas e os cuidados que recebem e o que os profissionais pensam sobre estes doentes. Esta parte termina com uma revisão das propostas de abordagem para este tipo de doentes. Na segunda parte, descrevemos os estudos empíricos focados no problema dos pacientes com sintomas físicos mas sem evidência de doença orgânica. Começa por uma apresentação dos aspectos processuais e metodológicos dos estudos realizados, mais especificamente, de dois estudos quantitativos e um qualitativo. No primeiro estudo pretendeu-se avaliar quais são os sintomas físicos e a sua frequência na população em geral e a frequência de pacientes que procuram (ou não) os serviços de saúde tendo como motivo este tipo de sintomas. O objectivo deste estudo é contribuir para a demonstração que este tipo de sintomas faz parte da vida do dia-a-dia e que, na maioria das vezes, só por si não significa doença, sem contudo negar que representa sofrimento, por vezes até maior do que quando há patologia orgânica. Se no primeiro estudo era demonstrar que os sintomas físicos são frequentes na população, no segundo estudo o objectivo é demonstrar que pacientes com este tipo de sintomas são igualmente frequentes e que o tipo de sintomas apresentados na consulta não difere dos referidos pela população em geral. Pretendia-se ainda saber o que é feito ou proposto pelo médico a estes doentes e se estes doentes traziam ou não, junto com os sintomas, ideias explicativas para os mesmos. Finalmente e não menos importante, é avaliar o grau de fidedignidade do diagnóstico de sintoma somatoforme, chamando assim ao sintoma físico que foi “levado” à consulta e que o médico diagnosticou como não tendo causa orgânica. O terceiro estudo parte do conhecimento adquirido que a Medicina tem muitas respostas para este problema, mas poucas que se possam considerar satisfatórias se usadas isoladamente. Que a maioria das soluções é procurada entre a cultura médica e num paradigma reducionista de separação mente-corpo. Contudo, se o sintoma é “construído” pelo doente, se o principal problema não está no sintoma mas na forma como o paciente o vê, então pareceu-nos lógico que a solução também tem que passar por integrarmos no plano de abordagem o que o doente entende ser melhor para si. Nesta sequência, entrevistaram-se alguns doentes cujo diagnóstico de sintomas somatoformes estava demonstrado pelo teste do tempo. Por isso, entrevistaram-se doentes que já tinham ido à consulta de MGF há mais de 6 meses por sintomas somatoformes e, na data da entrevista, o diagnóstico se mantinha inalterado, independentemente da sua evolução. As entrevistas visaram conhecer as ideias dos doentes sobre o que as motivou a procurarem a consulta, o que pensavam da forma como foram cuidados e que ideias tinham sobre o que os profissionais de saúde devem fazer para os ajudar a restabelecer o equilíbrio com o seu ambiente evitando a medicalização, a iatrogenia e a evolução para a cronicidade. Na terceira parte, discutem-se e integram-se os resultados encontrados no conhecimento previamente existente. Tenta-se teorizar, fazer doutrina sobre o tema e contribuir para abordagens terapêuticas mais personalizadas, abrangentes, variadas e multimodais, baseadas sempre no método clínico centrado no paciente, ou de modo menos correcto mas enfático, baseadas no método centrado na relação. Apresentam-se algumas hipóteses de trabalhos futuros sobre o tema e, sobretudo, esperamos ter contribuído para o reconhecimento da necessidade de a comunicação médico-doente ser uma aprendizagem transversal a todos os profissionais de saúde e ao longo da vida, com a ideia que é sempre possível fazer melhor, caso contrário tenderemos, inexoravelmente, a fazer cada vez pior.-----------ABSTRACT: Patients who go to consultation with physical symptoms, for which the doctor does not find an organic cause, are the subject of the present study. They are common in family medicine, although not specific. Do not let an undiagnosed disease (type II error), but without labeling healthy people as patients with disease (type I error) is one of the most difficult problems in clinical practice and for which doesn’t exist an infallible guide and it is unlikely that any since coming into existence. But, if the diagnosis of disease or non-disease is difficult, the treatment of those who do not have the disease, though suffering, it is not easy, especially if we are aware of the suffering that medicalization and iatrogenic determines. This work is structured in three parts. In the first part we describe our integrated view of what we grasp from reading the published literature and to which we had access. Similar to that found in most areas of medicine, this is also one in which knowledge grows exponentially. However, the absence of precise concepts and consensual definitions determines an inconsistent knowledge, especially because we're on the border between secular culture and medical culture where, at all times, the meaning must be validated. We did a review on the definitions of what is at issue, what is known about the frequency of physical symptoms in the population, how many use the services of health and what they receive as care. We went through a review of the physiology of these symptoms and some pathophysiological explanations, to finish on what patients think about their symptoms and how they perceived the care they received and, finally, what professionals think about these patients. This part ends with a review of the approaches proposed for such patients. In the second part, we describe the empirical studies focused on the problem of patients with physical symptoms but no evidence of organic disease. Begins with a presentation of the procedural and methodological aspects of studies, more specifically, two quantitative and one qualitative. The first study sought to assess which are the physical symptoms, their incidence in the general population and the frequency they seek (or not) health services on behalf of those symptoms. The aim behind this study was to contribute to the demonstration that this type of symptoms is part of life's day-to-day and that, in most cases, does not represent disease by itself, without denying that they represent suffering, sometimes even greater than when there are organic disease. The first study endeavor to demonstrate that the physical symptoms are common in the population. The second study aspires to demonstrate that patients with such symptoms are also common and that the type of symptoms presented in the consultation does not differ from those in the general population. The aim was also to know what is done or proposed by the physician for these patients and if these patients brought or not, along with the symptoms, explanatory ideas for them. Finally and not least, it would try to assess the degree of reliability of diagnosis of somatoform symptoms, thus drawing the physical symptom that patient presents in the consultation and that the doctor diagnosed as having no organic cause. The third study starts from the acquired knowledge that medicine has many answers to this problem, but few can be considered satisfactory if used in isolation. The most solutions are sought in the medical culture and based on a reductionist paradigm of mind-body. However, if the symptom is "built" by the patient, if the main problem is not the symptom but the way the patient sees it, then it seemed logical to us that the solution must integrate the approaches that patients believes are best for them. Subsequently, a few patients, whose diagnosis of somatoform symptoms was demonstrated by the test of time, were interviewed. Therefore, patients who were interviewed had gone to the consultation of family medicine more than 6 months before for somatoform symptoms and. at the moment of the interview, the diagnosis remained unchanged, regardless of their evolution. The interviews aimed to ascertain the patients' ideas about what motivated them to seek consultation, what they thought about the care they got and which ideas they have about what health professionals should do to help these patients to re-establish equilibrium with its environment avoiding medicalization, iatrogenic effects and the evolution to chronicity. In the third section, we discuss and integrate the results found in previously existing knowledge. Attempts to theorize on the subject and contribute to more personalized treatment, comprehensive, varied and multi-modal approaches, always based on patient-centered clinical method, with emphasis on the relationship. We presents some hypotheses for future work on the subject and,above all, defend the recognition of the importance of lifelong learning communication skills for all health professionals, with the idea that we can always do better, otherwise we tend inexorably to do worse.

Early maternal investment in mice: no evidence for compatible-genes sexual selection despite hybrid vigor.

Confronting a recently mated female with a strange male can induce a pregnancy block ('Bruce effect'). The physiology of this effect is well studied, but its functional significance is still not fully understood. The 'anticipated infanticide hypothesis' suggests that the pregnancy block serves to avoid the cost of embryogenesis and giving birth to offspring that are likely to be killed by a new territory holder. Some 'compatible-genes sexual selection hypotheses' suggest that the likelihood of a pregnancy block is also dependent on the female's perception of the stud's and the stimulus male's genetic quality. We used two inbred strains of mice (C57BL/6 and BALB/c) to test all possible combinations of female strain, stud strain, and stimulus strain under experimental conditions (N(total) = 241 mated females). As predicted from previous studies, we found increased rates of pregnancy blocks if stud and stimulus strains differed, and we found evidence for hybrid vigour in offspring of between-strain mating. Despite the observed heterosis, pregnancies of within-strain matings were not more likely to be blocked than pregnancies of between-strain matings. A power analysis revealed that if we missed an existing effect (type-II error), the effect must be very small. If a female gave birth, the number and weight of newborns were not significantly influenced by the stimulus males. In conclusion, we found no support for the 'compatible-genes sexual selection hypotheses'.

A simple permutation test for clusteredness

Hierarchical clustering is a popular method for finding structure in multivariate data,resulting in a binary tree constructed on the particular objects of the study, usually samplingunits. The user faces the decision where to cut the binary tree in order to determine the numberof clusters to interpret and there are various ad hoc rules for arriving at a decision. A simplepermutation test is presented that diagnoses whether non-random levels of clustering are presentin the set of objects and, if so, indicates the specific level at which the tree can be cut. The test isvalidated against random matrices to verify the type I error probability and a power study isperformed on data sets with known clusteredness to study the type II error.

Sample size and statistical power in the hierarchical analysis of variance: applications in morphometry of the nervous system.

Analysis of variance is commonly used in morphometry in order to ascertain differences in parameters between several populations. Failure to detect significant differences between populations (type II error) may be due to suboptimal sampling and lead to erroneous conclusions; the concept of statistical power allows one to avoid such failures by means of an adequate sampling. Several examples are given in the morphometry of the nervous system, showing the use of the power of a hierarchical analysis of variance test for the choice of appropriate sample and subsample sizes. In the first case chosen, neuronal densities in the human visual cortex, we find the number of observations to be of little effect. For dendritic spine densities in the visual cortex of mice and humans, the effect is somewhat larger. A substantial effect is shown in our last example, dendritic segmental lengths in monkey lateral geniculate nucleus. It is in the nature of the hierarchical model that sample size is always more important than subsample size. The relative weight to be attributed to subsample size thus depends on the relative magnitude of the between observations variance compared to the between individuals variance.