We consider locally finite geometries of rank 3 belonging to certain diagrams where all strokes represent classes of non-trivial designs, at least one of them consisting of symmetric designs other than projective planes. The gonality diagram of such geometry is of spherical type, whereas the diameter diagram is of affine type. In cases like this, the criteria available from 24 cannot tell us an...

The phenomenon of information cascades is widely observed in economic and social systems. In a highly connected random network of interacting agents whose decisions are determined by the actions of their neighbours according to a simple threshold rule, the size distribution of cascades is bimodal. There is an exponential tail at small cascade size and a second peak at the size of the entire sys...

Many classification problems have in fact an ordinal nature, i.e., the class labels are ordered. We introduce a decision rule algorithm, called RankRules, tailored for this type of problems, that is based on minimization of the rank loss. In general, the complexity of the rank loss minimization is quadratic with respect to the number of training examples, however, we show that the introduced al...

Pattern matching in stock time series is an active research area in data mining. We propose a new real-time hybrid pattern-matching algorithm in this paper. The algorithm is based on the Spearman’s rank correlation, rule sets and sliding window. The concept of sliding windows enables patterns matching to be performed only based on subsequence of stock data which are freshly received. Therefore ...

The Significance Analysis of Microarrays (SAM) software is a very practical tool for detecting significantly expressed genes and controlling the proportion of falsely detected genes, the False Discovery Rate (FDR). However, SAM tends to find biased estimates of the FDR. We show that the same method with the data replaced by rank scores does not have this tendency. We discuss the choice of the r...

Sexual size dimorphism (SSD) is widespread within the animal kingdom. Rensch's rule describes a relationship between SSD and body size: SSD increases with body size when males are the larger sex, and decreases with body size when females are the larger sex. Rensch's rule is well supported for taxa that exhibit male-biased SSD but patterns of allometry among taxa with female-biased size dimorphi...

Despite the potential benefits of sequential designs, studies evaluating treatments or experimental manipulations in preclinical experimental biomedicine almost exclusively use classical block designs. Our aim with this article is to bring the existing methodology of group sequential designs to the attention of researchers in the preclinical field and to clearly illustrate its potential utility...

Research often necessitates of samples, yet obtaining large enough samples is not always possible. When it is, the researcher may use one of two methods for deciding upon the required sample size: rules-of-thumb, quick yet uncertain, and estimations for power, mathematically precise yet with the potential to overestimate or underestimate sample sizes when effect sizes are unknown. Misestimated ...

The empirical rules relating metabolic rate and body size are described in terms of (i) a scaling exponent, which refers to the ratio of the fractional change in metabolic rate to a change in body size, (ii) a proportionality constant, which describes the rate of energy expenditure in an organism of unit mass. This article integrates the chemiosmotic theory of energy transduction with the metho...