Problems of the randomization test for AB designs

N = 1 designs imply repeated registrations of the behaviour of the same experimental unit and the measurements obtained are often few due to time limitations, while they are also likely to be sequentially dependent. The analytical techniques needed to enhance statistical and clinical decision making have to deal with these problems. Different procedures for analysing data from single-case AB designs are discussed, presenting their main features and revising the results reported by previous studies. Randomization tests represent one of the statistical methods that seemed to perform well in terms of controlling false alarm rates. In the experimental part of the study a new simulation approach is used to test the performance of randomization tests and the results suggest that the technique is not always robust against the violation of the independence assumption. Moreover, sensitivity proved to be generally unacceptably low for series lengths equal to 30 and 40. Considering the evidence available, there does not seem to be an optimal technique for single-case data analysis

Data-division-specific robustness and power of randomization tests for ABAB designs

This study deals with the statistical properties of a randomization test applied to an ABAB design in cases where the desirable random assignment of the points of change in phase is not possible. In order to obtain information about each possible data division we carried out a conditional Monte Carlo simulation with 100,000 samples for each systematically chosen triplet. Robustness and power are studied under several experimental conditions: different autocorrelation levels and different effect sizes, as well as different phase lengths determined by the points of change. Type I error rates were distorted by the presence of autocorrelation for the majority of data divisions. Satisfactory Type II error rates were obtained only for large treatment effects. The relationship between the lengths of the four phases appeared to be an important factor for the robustness and the power of the randomization test.

Randomization tests for ABAB designs: Comparing-data-division-specific and common distributions

Monte Carlo simulations were used to generate data for ABAB designs of different lengths. The points of change in phase are randomly determined before gathering behaviour measurements, which allows the use of a randomization test as an analytic technique. Data simulation and analysis can be based either on data-division-specific or on common distributions. Following one method or another affects the results obtained after the randomization test has been applied. Therefore, the goal of the study was to examine these effects in more detail. The discrepancies in these approaches are obvious when data with zero treatment effect are considered and such approaches have implications for statistical power studies. Data-division-specific distributions provide more detailed information about the performance of the statistical technique.

Spatial pattern detection modeling of thrips (Thrips tabaci) on onion fields

Onion (Allium cepa) is one of the most cultivated and consumed vegetables in Brazil and its importance is due to the large laborforce involved. One of the main pests that affect this crop is the Onion Thrips (Thrips tabaci), but the spatial distribution of this insect, although important, has not been considered in crop management recommendations, experimental planning or sampling procedures. Our purpose here is to consider statistical tools to detect and model spatial patterns of the occurrence of the onion thrips. In order to characterize the spatial distribution pattern of the Onion Thrips a survey was carried out to record the number of insects in each development phase on onion plant leaves, on different dates and sample locations, in four rural properties with neighboring farms under different infestation levels and planting methods. The Mantel randomization test proved to be a useful tool to test for spatial correlation which, when detected, was described by a mixed spatial Poisson model with a geostatistical random component and parameters allowing for a characterization of the spatial pattern, as well as the production of prediction maps of susceptibility to levels of infestation throughout the area.

Global poly(A) mRNA expression profile measured in individual bovine oocytes and cleavage embryos

The objective of this article was to estimate quantitative differences for GAPDH transcripts and poly(A) mRNA: (i) between oocytes collected from cumulus-oocyte complexes (COCs) qualified morphologically as grades A and B; (ii) between grade A oocytes before and after in vitro maturation (IVM); and (iii) among in vitro-produced embryos at different developmental stages. To achieve this objective a new approach was developed to estimate differences between poly(A) mRNA when using small samples. The approach consisted of full-length cDNA amplification (acDNA) monitored by real-time PCR, in which the cDNA from half of an oocyte or embryo was used as a template. The GAPDH gene was amplified as a reverse transcription control and samples that were not positive for GAPDH transcripts were discarded. The fold differences between two samples were estimated using delta Ct and statistical analysis and were obtained using the pairwise fixed reallocation randomization test. It was found that the oocytes recovered from grade B COCs had quantitatively less poly(A) mRNA (p < 0.01) transcripts compared with grade A COCs (1 arbitrary unit expression rate). In the comparison with immature oocytes (I arbitrary unit expression rate), the quantity of poly(A) mRNA did not change during IVM, but declined following IVF and varied with embryo culture (p < 0.05). Amplification of cDNA by real-time PCR was an efficient method to estimate differences in the amount of poly(A) mRNA between oocytes and embryos. The results obtained from individual oocytes suggested an association between poly(A) mRNA abundance and different morphological qualities of oocytes from COCs. In addition, a poly(A) mRNA profile was characterized from oocytes undergoing IVM, fertilization and blastocyst heating.

Matéria orgânica do solo e emissão de C-CO2 em diferentes manejos e cultivos agrícolas

O manejo do solo deve ser realizado de tal forma que garanta a produção sustentável ao longo dos anos. Dentre as técnicas empregas, o manejo agroecológico e o plantio direto favorecem a manutenção da cobertura do solo e o aporte de matéria orgânica. Partindo da hipótese de que o maior aporte de resíduos culturais aumenta o conteúdo e estoque de matéria orgânica no solo, bem como reduz a emissão de C-CO2, o objetivo geral da pesquisa foi avaliar o impacto do manejo na matéria orgânica do solo e na emissão de C-CO2, nos períodos secos e chuvosos em diferentes cultivos agrícolas. O capítulo 1 foi desenvolvido na comunidade de Feliz Lembrança, Alegre–ES, onde foram avaliados sistemas de manejo em pastagem (PAST), café a pleno sol (PS) e café em sistema agroflorestal (SAF) e uma mata nativa (MN). O capítulo 2 foi desenvolvido no Incaper de Domingos Martins, onde se avaliou tratamentos de plantio direto de hortaliças sob palhada de gramínea (PD-G), leguminosa (PD-L), consórcio gramínea/leguminosa (PD-GL) e convencional utilizando enxada rotativa no pré-plantio (PC)em um delineamento de blocos casualizados. Amostras de solos em diferentes camadas foram coletadas para caracterização química e da matéria orgânica. Foram realizadas medições de emissão de C-CO2, temperatura do solo, umidade do solo e C biomassa microbiana do solo in situ. Foi utilizada análise de variância multivariada, vinculada a teste de aleatorização e aplicação de contrastes ortogonais no capítulo 1 e análise de variância aplicando teste F e teste de médias no capítulo 2. O SAF apresentou maior conteúdo de C orgânico total (19,8 g/kg) na camada de 0 a 5 cm e a PAST em subsuperfície. O menor estoque de C e N e os maiores valores de quociente metabólico foram encontrados no PS. O SAF reduziu a emissão de C-CO2 em 1,93 Mg ha-1 ano-1 em relação ao PS. O C orgânico total variou de 34,94 a 50,48 g/kg no PD-GL enquanto no sistema PC essa variação foi de 27,11 a 43,74 g/kg no perfil amostrado. A emissão média anual foi de 15,89 Mg C-CO2 ha-1 ano-1para a PD-G enquanto o PD-GL foi de 13,77; PD-L de 13,09 e PC de 11,20 Mg C-CO2 ha-1 ano-1. No PC, o balanço de C foi negativo (-2,15Mg ha-1), além de apresentar as menores médias anuais de umidade do solo e C biomassa microbiana e maior Qmet anual. Sistemas com contínuo e diversificado aporte de matéria orgânica promovem redução na emissão de C-CO2, bem como atuam no sequestro de C atmosférico.

Exact and approximate stepdown methods for multiple hypothesis testing

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

Tying up the loose ends in simple correspondence analysis

Although correspondence analysis is now widely available in statistical software packages and applied in a variety of contexts, notably the social and environmental sciences, there are still some misconceptions about this method as well as unresolved issues which remain controversial to this day. In this paper we hope to settle these matters, namely (i) the way CA measures variance in a two-way table and how to compare variances between tables of different sizes, (ii) the influence, or rather lack of influence, of outliers in the usual CA maps, (iii) the scaling issue and the biplot interpretation of maps,(iv) whether or not to rotate a solution, and (v) statistical significance of results.

Random assignment of intervention points in two phase single-case designs: data-division-specific distributions

The present study explores the statistical properties of a randomization test based on the random assignment of the intervention point in a two-phase (AB) single-case design. The focus is on randomization distributions constructed with the values of the test statistic for all possible random assignments and used to obtain p-values. The shape of those distributions is investigated for each specific data division defined by the moment in which the intervention is introduced. Another aim of the study consisted in testing the detection of inexistent effects (i.e., production of false alarms) in autocorrelated data series, in which the assumption of exchangeability between observations may be untenable. In this way, it was possible to compare nominal and empirical Type I error rates in order to obtain evidence on the statistical validity of the randomization test for each individual data division. The results suggest that when either of the two phases has considerably less measurement times, Type I errors may be too probable and, hence, the decision making process to be carried out by applied researchers may be jeopardized.

Spatial pattern detection modeling of thrips (Thrips tabaci) on onion fields

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A sazonalidade ambiental afeta a composição faunística de Ephemeroptera e Trichoptera em um riacho de Cerrado do Sudeste do Brasil?

In this paper, data on the fauna of Ephemeroptera and Trichoptera (ET) from a Cerrado stream was analysed in order to test the hypothesis that the high seasonality of this biome can influence the composition of ET between the wet and dry seasons. The community structure was evaluated using Detrended Correspondence Analysis and Cluster Analysis (Morisita Horn-UPGMA). Environmental factors were analyzed using the Principal Components Analysis. In order to test the effect of abiotic variables on the fauna, It was applied the Procrustean Randomization Test (Protest) and Mantel Test. The environmental factors recorded for this study had a significant effect on the ET fauna from Córrego do Pedregulho. Faunal similarity was high throughout the year, indicating that although there was density of fluctuation, due to rainfall variation, the faunal composition showed little temporal variability. On the other hand, it was possible to observe that the genus Lachlania (Ephemeroptera) occurred preferably during the rainy months and that the faunal composition during the dry season was less variable than those from other seasons. Therefore, environmental seasonality had a partial effect on the faunal composition of ET from Córrego do Pedregulho.

Spatial Learning and Stress Response of Male Rats Prenatally Exposed to Dexamethasone

Dexamethasone is routinely administered to women at risk for a preterm birth in order to enhance fetal lung development and reduce uterine contractions. Research has demonstrated possible behavioral abnormalities in adulthood as a result of dexamethasone treatment. Using nonlinear mixed effects modeling, this study found thatprenatal dexamethasone treatment impaired spatial learning and memory of adult male Sprague-Dawley rats. Prenatal dexamethasone treatment also led to more anxiety related behaviors on Elevated Plus Maze testing 1.5 hours after a stress challenge. Because theassumptions underlying the independent samples t-test were violated, the randomization test was used to compare groups on the Elevated Plus Maze.

Co-registration of magnetoencephalography with magnetic resonance imaging using bite-bar-based fiducials and surface-matching

Objective: To introduce a new technique for co-registration of Magnetoencephalography (MEG) with magnetic resonance imaging (MRI). We compare the accuracy of a new bite-bar with fixed fiducials to a previous technique whereby fiducial coils were attached proximal to landmarks on the skull. Methods: A bite-bar with fixed fiducial coils is used to determine the position of the head in the MEG co-ordinate system. Co-registration is performed by a surface-matching technique. The advantage of fixing the coils is that the co-ordinate system is not based upon arbitrary and operator dependent fiducial points that are attached to landmarks (e.g. nasion and the preauricular points), but rather on those that are permanently fixed in relation to the skull. Results: As a consequence of minimizing coil movement during digitization, errors in localization of the coils are significantly reduced, as shown by a randomization test. Displacement of the bite-bar caused by removal and repositioning between MEG recordings is minimal (∼0.5 mm), and dipole localization accuracy of a somatosensory mapping paradigm shows a repeatability of ∼5 mm. The overall accuracy of the new procedure is greatly improved compared to the previous technique. Conclusions: The test-retest reliability and accuracy of target localization with the new design is superior to techniques that incorporate anatomical-based fiducial points or coils placed on the circumference of the head. © 2003 International Federation of Clinical Neurophysiology. Published by Elsevier Ireland Ltd. All rights reserved.

Randomization tests for ABAB designs : Comparing-data-divisionspecific and common distributions. 'Pruebas de aleatorizaci??n para dise??os ABAB : comparaci??n entre distribuciones espec??ficas y comunes'

Resumen tomado de la publicaci??n. Resumen tambi??n en ingl??s

A score test for binary data with patient non-compliance

A score test is developed for binary clinical trial data, which incorporates patient non-compliance while respecting randomization. It is assumed in this paper that compliance is all-or-nothing, in the sense that a patient either accepts all of the treatment assigned as specified in the protocol, or none of it. Direct analytic comparisons of the adjusted test statistic for both the score test and the likelihood ratio test are made with the corresponding test statistics that adhere to the intention-to-treat principle. It is shown that no gain in power is possible over the intention-to-treat analysis, by adjusting for patient non-compliance. Sample size formulae are derived and simulation studies are used to demonstrate that the sample size approximation holds. Copyright © 2003 John Wiley & Sons, Ltd.