A note on extension variances in IR2

Matheron (1971) proposed an approximation of the extension variance in IR. We propose in this note an extension of this formula in IR2, based on a MacLaurin formula. Its application is shown in an example, the estimation of the maximum depressional storage of a soil surface.

A note on the decomposition of the health concentration index

In recent work, the concentration index has been widely used as a measure of income-related health inequality. The purpose of this note is to illustrate two different methods for decomposing the overall health concentration index using data collected from a Short Form (SF-36) survey of the general Australian population conducted in 1995. For simplicity, we focus on the physical functioning scale of the SF-36. Firstly we examine decomposition 'by component' by separating the concentration index for the physical functioning scale into the ten items on which it is based. The results show that the items contribute differently to the overall inequality measure, i.e. two of the items contributed 13% and 5%, respectively, to the overall measure. Second, to illustrate the 'by subgroup' method we decompose the concentration index by employment status. This involves separating the population into two groups: individuals currently in employment; and individuals not currently employed. We find that the inequality between these groups is about five times greater than the inequality within each group. These methods provide insights into the nature of inequality that can be used to inform policy design to reduce income related health inequalities. Copyright (C) 2002 John Wiley Sons, Ltd.

Binocular rivalry and the cerebral hemispheres with a note on the correlates and constitution of visual consciousness

In addressing the scientific study of consciousness, Crick and Koch state, "It is probable that at any moment some active neuronal processes in your head correlate with consciousness, while others do not: what is the difference between them?" (1998, p. 97). Evidence from electrophysiological and brain-imaging studies of binocular rivalry supports the premise of this statement and answers to some extent, the question posed. I discuss these recent developments and outline the rationale and experimental evidence for the interhemispheric switch hypothesis of perceptual rivalry. According to this model, the perceptual alternations of rivalry reflect hemispheric alternations, suggesting that visual consciousness of rivalling stimuli may be unihemispheric at any one time (Miller et al., 2000). However, in this paper, I suggest that interhemispheric switching could involve alternating unihemispheric attentional selection of neuronal processes for access to visual consciousness. On this view, visual consciousness during rivalry could be bihemispheric because the processes constitutive of attentional selection may be distinct from those constitutive of visual consciousness. This is a special case of the important distinction between the neuronal correlates and constitution of visual consciousness.

A critical note on UNDP's gender inequality indices

This paper analyses the different indices applied for the measurement of human development as constructed by the United Nations Development Program. Of special interest is the Gender Development Index (GDI), introduced in the 1995 Human Development Report and the Gender Empowerment Measure (GEM). In light of the mate bias in the Indian socioeconomic context, the application of the GDI and GEM acquires special significance. A critical appraisal of their theoretical base and their application has been undertaken in this paper. The conclusion is that GDI and GEM. although praise-worthy achievements on the part of the UNDP, do not adequately reflect or measure male/female disparity in the Indian context. Both indices suffer from the weakness of employing a pre-assigned value of the Gender Sensitive Equity Indicator. They also exhibit several other shortcomings, outlined here. GDI is a poor indicator of the relative deprivation of females as shown by our analysis of the relationship between the GDI and the female/male ratio for 16 Indian core states.

Integrating technology to improve the efficiency of qualitative data analysis - A note on methods

Qualitative data analysis (QDA) is often a time-consuming and laborious process usually involving the management of large quantities of textual data. Recently developed computer programs offer great advances in the efficiency of the processes of QDA. In this paper we report on an innovative use of a combination of extant computer software technologies to further enhance and simplify QDA. Used in appropriate circumstances, we believe that this innovation greatly enhances the speed with which theoretical and descriptive ideas can be abstracted from rich, complex, and chaotic qualitative data. © 2001 Human Sciences Press, Inc.

Brief note on the variation of constants formula for fuzzy differential equations

This note gives a theory of state transition matrices for linear systems of fuzzy differential equations. This is used to give a fuzzy version of the classical variation of constants formula. A simple example of a time-independent control system is used to illustrate the methods. While similar problems to the crisp case arise for time-dependent systems, in time-independent cases the calculations are elementary solutions of eigenvalue-eigenvector problems. In particular, for nonnegative or nonpositive matrices, the problems at each level set, can easily be solved in MATLAB to give the level sets of the fuzzy solution. (C) 2002 Elsevier Science B.V. All rights reserved.

The role of handouts, note-taking and overhead transparencies in veterinary science lectures

Objective To study student and staff views of the role and use of handouts, note-taking and overhead transparencies in veterinary science lectures at the University of Queensland Methods The Nominal Group Technique was used to help develop a questionnaire, which was completed by 351 students (a response rate of 84%) and 35 staff (76%) from the 5 years of the veterinary course. The data were analysed using the SAS statistical computer package. Results Staff and students held different views as to the frequency with which handouts should be used, their educational value, and whether they should be complete or partial. Fewer students than staff agreed that handouts discourage further reading in a subject. Almost all staff and students saw the central functions of note-taking to be provision of notes for subsequent revision and encoding information given by the lecturer. More students than staff however, considered that note-taking in lectures interferes with understanding. Staff and students held similar views as to the uses of overheads in lectures. Interestingly however, more staff than students agreed that overheads often contain too much information. Conclusion Both students and staff saw the central role of note-taking as providing a set of good notes for revision. Generally students preferred that this information be provided in the form of partial or complete handouts, while staff preferred students to take notes and to read outside lectures. Surprisingly, more staff than students felt that overhead transparencies often contained too much information. Note-taking, handouts and overhead transparencies need to be linked in a coherent educational strategy to promote effective learning.

A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemic

For Markov processes on the positive integers with the origin as an absorbing state, Ferrari, Kesten, Martinez and Picco studied the existence of quasi-stationary and limiting conditional distributions by characterizing quasi-stationary distributions as fixed points of a transformation Phi on the space of probability distributions on {1, 2,.. }. In the case of a birth-death process, the components of Phi(nu) can be written down explicitly for any given distribution nu. Using this explicit representation, we will show that Phi preserves likelihood ratio ordering between distributions. A conjecture of Kryscio and Lefevre concerning the quasi-stationary distribution of the SIS logistic epidemic follows as a corollary.