In meta-analysis of odds ratios (ORs), heterogeneity between the studies is usually modelled via the additive random effects model (REM). An alternative, multiplicative REM for ORs uses overdispersion. The multiplicative factor in this overdispersion model (ODM) can be interpreted as an intra-class correlation (ICC) parameter. This model naturally arises when the probabilities of an event in on...

A multilocational field trial involving nine sweetpotato clones of diverse origins was conducted across four different locations to investigate GxE interaction effects on commercial root yield and beta-carotene pigment content in roots. None of the high-yielding cultivars had satisfactory stability, according to biplots for total root yield based on the additive main effect and multiplicative i...

Traditional measures of diversity, namely the number of species as well as Simpson's and Shannon's indices, are particular cases of Tsallis entropy. Entropy decomposition, i.e. decomposing gamma entropy into alpha and beta components, has been previously derived in the literature. We propose a generalization of the additive decomposition of Shannon entropy applied to Tsallis entropy. We obtain ...

Existing general definitions of beta diversity often produce a beta with a hidden dependence on alpha. Such a beta cannot be used to compare regions that differ in alpha diversity. To avoid misinterpretation, existing definitions of alpha and beta must be replaced by a definition that partitions diversity into independent alpha and beta components. Such a unique definition is derived here. When...

Rooth (1992) and Fiengo and May (1994) argue that elliptical structures are subject to both a semantic and a syntactic parallelism requirement. Pseudosluicing, where an elliptical cleft takes a non-cleft as its antecedent, pose a problem for the idea that there is a syntactic parallelism requirement. In this talk, we will look at Spanish data (building on the analysis of Rodrigues et al. 2008) ...

We prove the validity of an averaging principle for a class of systems of slow-fast reaction-diffusion equations with the reaction terms in both equations having polynomial growth, perturbed by a noise of multiplicative type. The models we have in mind are the stochastic Fitzhugh– Nagumo equation arising in neurophysiology and the Ginzburg–Landau equation arising in statistical mechanics.

Whittaker (1960, 1972) first proposed the idea that species diversity has spatial components, with alpha diversity estimating diversity within individual stands (or communities) and beta diversity estimating the number of community types in an area (or in Whittaker’s terminology, ‘‘differentiation of communities along gradients’’). These two values combined make up gamma diversity. Beta diversi...

In this paper we consider the following problem. Let k < K be fields. Suppose S ⊂ Mn(K) is an absolutely irreducible multiplicative semigroup with the property that the spectrum of every a ∈ S is contained in k. Does it follow that S is simultaneously realizable in Mn(k), that is, does there exist a p ∈ GLn(K) such that pSp−1 ⊂ Mn(k)? The overfield K plays no essential role in this situation. C...

In this paper we study the asymptotic dynamics of the stochastic strongly damped wave equation with multiplicative noise under homogeneous Dirichlet boundary condition. We investigate the existence of a compact random attractor for the random dynamical system associated with the equation.

Ecologists have traditionally viewed the total species diversity within a set of communities as the product of the average diversity within a community (alpha) and the diversity among the communities (beta). This multiplicative concept of species diversity contrasts with the lesser known idea that and -diversities sum to give the total diversity. This additi e partitioning of species di ersity ...