Non-normally distributed data and non-parametric statistics

Different types of numerical data can be collected in a scientific investigation and the choice of statistical analysis will often depend on the distribution of the data. A basic distinction between variables is whether they are ‘parametric’ or ‘non-parametric’. When a variable is parametric, the data come from a symmetrically shaped distribution known as the ‘Gaussian’ or ‘normal distribution’ whereas non-parametric variables may have a distribution which deviates markedly in shape from normal. This article describes several aspects of the problem of non-normality including: (1) how to test for two common types of deviation from a normal distribution, viz., ‘skew’ and ‘kurtosis’, (2) how to fit the normal distribution to a sample of data, (3) the transformation of non-normally distributed data and scores, and (4) commonly used ‘non-parametric’ statistics which can be used in a variety of circumstances.

Entre cartas e contos na sala de aula: diálogos e afetos em textos de Mário de Andrade e Câmara Cascudo

Specific educational material production for a group of level IV – 8th and 9th years of Youth and Adults Education, having as starting point the reading of a series of letter of correspondence between Câmara Cascudo and Mário de Andrade in the 1920s, and the verification of the way the dialog between the two authors reveals elements that transpire themselves in the tale entitled “Piá não sofre? Sofre”, from the book Os contos de Belazarte, de Mário de Andrade. The educational material production was preceded by the analysis of the selected tale, which will be studied along with some of the letters, in an analysis of the textual, discursive and semantic features of the text in representation of these both genres: letter and tale. The selected tale was written between 1923 and 1926, dates close to the years when the author came by Rio Grande do Norte state, in the years from 1927 to 1929, accompanied by Câmara Cascudo, being also this period that there are records of letters in the set of correspondence between them. To the reading of the selected material, it was used theoretical references from literature and literary historiography, especially the history of Brazilian modernist movement. To the production of the educational material, it was chosen as theoretical reference the accumulated knowledge in the area of literature teaching, literacy and the recommendations of the Brazilian National Curriculum Parameters. The methodology in this study was constructed from the theoretical references and had as basic support the study of didactic sequences from which a specific thematic unit got its shape from, required by the analyzed material and tested in a classroom.

Entre cartas e contos na sala de aula: diálogos e afetos em textos de Mário de Andrade e Câmara Cascudo

Specific educational material production for a group of level IV – 8th and 9th years of Youth and Adults Education, having as starting point the reading of a series of letter of correspondence between Câmara Cascudo and Mário de Andrade in the 1920s, and the verification of the way the dialog between the two authors reveals elements that transpire themselves in the tale entitled “Piá não sofre? Sofre”, from the book Os contos de Belazarte, de Mário de Andrade. The educational material production was preceded by the analysis of the selected tale, which will be studied along with some of the letters, in an analysis of the textual, discursive and semantic features of the text in representation of these both genres: letter and tale. The selected tale was written between 1923 and 1926, dates close to the years when the author came by Rio Grande do Norte state, in the years from 1927 to 1929, accompanied by Câmara Cascudo, being also this period that there are records of letters in the set of correspondence between them. To the reading of the selected material, it was used theoretical references from literature and literary historiography, especially the history of Brazilian modernist movement. To the production of the educational material, it was chosen as theoretical reference the accumulated knowledge in the area of literature teaching, literacy and the recommendations of the Brazilian National Curriculum Parameters. The methodology in this study was constructed from the theoretical references and had as basic support the study of didactic sequences from which a specific thematic unit got its shape from, required by the analyzed material and tested in a classroom.

Epítese gengival removível: alternativa estética e de rápida resolução para repor tecidos periodontais anteriores

The gingiva, part of the masticatory mucosa tissue that covers the alveolar process and surrounds the cervical portion of teeth, has a definitive shape and texture associated with the eruption of teeth. Therefore, it must be included in rehabilitative planning, as the absence of papillae induces problems with esthetics, phonetics and food-impaction. The purpose of the present study was to approach the indications, limitations and techniques for making a removable artificial gingiva made of acrylic resin, by reporting on a clinical case. The patient, a 29-year-old woman, with the sequelae of periodontal disease, presented loss of interdental papilla causing “black holes”. She was dissatisfied with the esthetic appearance of her teeth, and also complained of long teeth and air escaping when she spoke. As treatment, prosthetic reconstruction was proposed, by means of a removable artificial gingiva (gingival epithesis) to simulate the presence of interdental papillae, providing better esthetics and phonetics. Gingival epithesis is an easily made, inserted and hygienically cleaned appliance that provides a simple and safe alternative solution for cases in which surgical techniques are limited.

Epítese gengival removível: alternativa estética e de rápida resolução para repor tecidos periodontais anteriores

The gingiva, part of the masticatory mucosa tissue that covers the alveolar process and surrounds the cervical portion of teeth, has a definitive shape and texture associated with the eruption of teeth. Therefore, it must be included in rehabilitative planning, as the absence of papillae induces problems with esthetics, phonetics and food-impaction. The purpose of the present study was to approach the indications, limitations and techniques for making a removable artificial gingiva made of acrylic resin, by reporting on a clinical case. The patient, a 29-year-old woman, with the sequelae of periodontal disease, presented loss of interdental papilla causing “black holes”. She was dissatisfied with the esthetic appearance of her teeth, and also complained of long teeth and air escaping when she spoke. As treatment, prosthetic reconstruction was proposed, by means of a removable artificial gingiva (gingival epithesis) to simulate the presence of interdental papillae, providing better esthetics and phonetics. Gingival epithesis is an easily made, inserted and hygienically cleaned appliance that provides a simple and safe alternative solution for cases in which surgical techniques are limited.

STRUCTURAL ANALYSIS OF RIBOSOME BINDING ELEMENTS OF THE 3´ UTR IN TWO POSITIVE-STRAND PLANT RNA VIRUSES

Turnip crinkle virus (TCV) and Pea enation mosaic virus (PEMV) are two positive (+)-strand RNA viruses that are used to investigate the regulation of translation and replication due to their small size and simple genomes. Both viruses contain cap-independent translation elements (CITEs) within their 3´ untranslated regions (UTRs) that fold into tRNA-shaped structures (TSS) according to nuclear magnetic resonance and small angle x-ray scattering analysis (TCV) and computational prediction (PEMV). Specifically, the TCV TSS can directly associate with ribosomes and participates in RNA-dependent RNA polymerase (RdRp) binding. The PEMV kissing-loop TSS (kl-TSS) can simultaneously bind to ribosomes and associate with the 5´ UTR of the viral genome. Mutational analysis and chemical structure probing methods provide great insight into the function and secondary structure of the two 3´ CITEs. However, lack of 3-D structural information has limited our understanding of their functional dynamics. Here, I report the folding dynamics for the TCV TSS using optical tweezers (OT), a single molecule technique. My study of the unfolding/folding pathways for the TCV TSS has provided an unexpected unfolding pathway, confirmed the presence of Ψ3 and hairpin elements, and suggested an interconnection between the hairpins and pseudoknots. In addition, this study has demonstrated the importance of the adjacent upstream adenylate-rich sequence for the formation of H4a/Ψ3 along with the contribution of magnesium to the stability of the TCV TSS. In my second project, I report on the structural analysis of the PEMV kl-TSS using NMR and SAXS. This study has re-confirmed the base-pair pattern for the PEMV kl-TSS and the proposed interaction of the PEMV kl-TSS with its interacting partner, hairpin 5H2. The molecular envelope of the kl-TSS built from SAXS analysis suggests the kl-TSS has two functional conformations, one of which has a different shape from the previously predicted tRNA-shaped form. Along with applying biophysical methods to study the structural folding dynamics of RNAs, I have also developed a technique that improves the production of large quantities of recombinant RNAs in vivo for NMR study. In this project, I report using the wild-type and mutant E.coli strains to produce cost-effective, site-specific labeled, recombinant RNAs. This technique was validated with four representative RNAs of different sizes and complexity to produce milligram amounts of RNAs. The benefit of using site-specific labeled RNAs made from E.coli was demonstrated with several NMR techniques.

Optimizing countershading camouflage

Countershading, the widespread tendency of animals to be darker on the side that receives strongest illumination, has classically been explained as an adaptation for camouflage: obliterating cues to 3D shape and enhancing background matching. However, there have only been two quantitative tests of whether the patterns observed in different species match the optimal shading to obliterate 3D cues, and no tests of whether optimal countershading actually improves concealment or survival. We use a mathematical model of the light field to predict the optimal countershading for concealment that is specific to the light environment and then test this prediction with correspondingly patterned model “caterpillars” exposed to avian predation in the field. We show that the optimal countershading is strongly illumination-dependent. A relatively sharp transition in surface patterning from dark to light is only optimal under direct solar illumination; if there is diffuse illumination from cloudy skies or shade, the pattern provides no advantage over homogeneous background-matching coloration. Conversely, a smoother gradation between dark and light is optimal under cloudy skies or shade. The demonstration of these illumination-dependent effects of different countershading patterns on predation risk strongly supports the comparative evidence showing that the type of countershading varies with light environment.

Automatic segmentation of abdominal aortic aneurysm from medical images based on active shape models and texture models

A semi-automatic segmentation algorithm for abdominal aortic aneurysms (AAA), and based on Active Shape Models (ASM) and texture models, is presented in this work. The texture information is provided by a set of four 3D magnetic resonance (MR) images, composed of axial slices of the abdomen, where lumen, wall and intraluminal thrombus (ILT) are visible. Due to the reduced number of images in the MRI training set, an ASM and a custom texture model based on border intensity statistics are constructed. For the same reason the shape is characterized from 35-computed tomography angiography (CTA) images set so the shape variations are better represented. For the evaluation, leave-one-out experiments have been held over the four MRI set.

Texture Image Analysis in Differentiating Malignant from Benign Adrenal Cortical Tumors in Children and Adults

Objective: To investigate the possible role of chromatin texture parameters, nuclear morphology, DNA ploidy and clinical functional status in discriminating benign from malignant adrenocortical tumors (ACT). Patients and Methods: Forty-eight cases of clinically benign (n=40) and clinically malignant (n=8) ACT with a minimum of 5-years` follow-up were evaluated for chromatin texture parameters (run length, standard deviation, configurable run length, valley, slope, peak and other 21 Markovian features that describe the distribution of the chromatin in the nucleus), nuclear morphology (nuclear area, nuclear perimeter, nuclear maximum and minumum diameter, nuclear shape), and DNA ploidy. Nuclear parameters were evaluated in Feulgen-stained 5 mu m paraffin-sections analyzed using a CAS 200 image analyzer. Results: Since ACTs present different biological features in children and adults, patients were divided into two groups: children (<= 15 years) and adults (>15 years). In the group of children DNA ploidy presented a marginal significance (p=0.05) in discriminating ACTs. None of the parameters discriminated between malignant and benign ACT in the adult group. Conclusion: ACTs are uncommon and definitive predictive criteria for malignancy remain uncertain, particularly in children. Our data point to DNA content evaluated by image analysis as a new candidate tool for this challenging task. Texture image analysis did not help to differentiate malignant from benign adrenal cortical tumors in children and adults.

Grain shape of sediment from the Weddell Sea

Very fine quartz sand was examined from Paleogene and Neogene sediments of ODP Sites 693, 694, 695, 696, and 697 to determine their grain roundness using Fourier analysis and SEM surface texture characteristics. The objective of this study was to identify grain roundness and surface texture characteristics unique to East (Site 693) and West (Sites 695, 696, and 697) Antarctica and to glacial regimes. Once identified, these distinguishing features could then be used to determine changes in source area and glacial conditions in the central Weddell Sea Basin (Site 694). Three end members of very fine quartz sand are recognized in the Oligocene to Pleistocene sediments of the Weddell Sea: angular, rounded, and intermediate. End member 1 (angular) consists of extremely angular grains with numerous fracture textures. Previous investigations suggested that these sands are derived from crystalline rocks that fractured during formation or deformation and/or were exposed to weathering by ice. In this study, however, the correlation of angularity with ice activity is problematical as the most angular sands were recovered in the lower Oligocene sediments of the South Orkney Microcontinent, a period of temperate climatic conditions. End member 3 (rounded) consists of rounded grains with chemically and mechanically produced surface textures. These sands are presumed to be derived from the Beacon-type rocks in East Antarctica and the sedimentary deposits of the Northern Antarctic Peninsula. End member 2 (intermediate) grains display crystalline nodes and grain embayments. They are thought to be derived from felsic intrusives, East Antarctic quartzites, basement metamorphics of the South Orkney Microcontinent, and/or the Andean intrusive series of West Antarctica. Unfortunately, no features unique to either the East or West Antarctic sediment sources or to glacial conditions could be isolated. Therefore, the objective of determining provenance changes and sediment erosion and transport mechanisms could not be achieved using this approach.