Rock fracture mean trace length estimation and confidence interval calculation using maximum likelihood methods

There has been a resurgence of interest in the mean trace length estimator of Pahl for window sampling of traces. The estimator has been dealt with by Mauldon and Zhang and Einstein in recent publications. The estimator is a very useful one in that it is non-parametric. However, despite some discussion regarding the statistical distribution of the estimator, none of the recent works or the original work by Pahl provide a rigorous basis for the determination a confidence interval for the estimator or a confidence region for the estimator and the corresponding estimator of trace spatial intensity in the sampling window. This paper shows, by consideration of a simplified version of the problem but without loss of generality, that the estimator is in fact the maximum likelihood estimator (MLE) and that it can be considered essentially unbiased. As the MLE, it possesses the least variance of all estimators and confidence intervals or regions should therefore be available through application of classical ML theory. It is shown that valid confidence intervals can in fact be determined. The results of the work and the calculations of the confidence intervals are illustrated by example. (C) 2003 Elsevier Science Ltd. All rights reserved.

Stereological and other methods applied to rock joint size estimation - Does Crofton's theorem apply?

A number of authors concerned with the analysis of rock jointing have used the idea that the joint areal or diametral distribution can be linked to the trace length distribution through a theorem attributed to Crofton. This brief paper seeks to demonstrate why Crofton's theorem need not be used to link moments of the trace length distribution captured by scan line or areal mapping to the moments of the diametral distribution of joints represented as disks and that it is incorrect to do so. The valid relationships for areal or scan line mapping between all the moments of the trace length distribution and those of the joint size distribution for joints modeled as disks are recalled and compared with those that might be applied were Crofton's theorem assumed to apply. For areal mapping, the relationship is fortuitously correct but incorrect for scan line mapping.

Selecting methods to solve multi-well master equations

There are several competing methods commonly used to solve energy grained master equations describing gas-phase reactive systems. When it comes to selecting an appropriate method for any particular problem, there is little guidance in the literature. In this paper we directly compare several variants of spectral and numerical integration methods from the point of view of computer time required to calculate the solution and the range of temperature and pressure conditions under which the methods are successful. The test case used in the comparison is an important reaction in combustion chemistry and incorporates reversible and irreversible bimolecular reaction steps as well as isomerizations between multiple unimolecular species. While the numerical integration of the ODE with a stiff ODE integrator is not the fastest method overall, it is the fastest method applicable to all conditions.

A comparison of two methods for the calculation of accumulated oxygen deficit

The aim of this study was to compare accumulated oxygen deficit data derived using two different exercise protocols with the aim of producing a less time-consuming test specifically for use with athletes. Six road and four track male endurance cyclists performed two series of cycle ergometer tests. The first series involved five 10 min sub-maximal cycle exercise bouts, a (V) over dotO(2peak) test and a 115% (V) over dotO(2peak) test. Data from these tests were used to estimate the accumulated oxygen deficit according to the calculations of Medbo et al. (1988). In the second series of tests, participants performed a 15 min incremental cycle ergometer test followed, 2 min later, by a 2 min variable resistance test in which they completed as much work as possible while pedalling at a constant rate. Analysis revealed that the accumulated oxygen deficit calculated from the first series of tests was higher (P< 0.02) than that calculated from the second series: 52.3 +/- 11.7 and 43.9 +/- 6.4 ml . kg(-1), respectively (mean +/- s). Other significant differences between the two protocols were observed for (V) over dot O-2peak, total work and maximal heart rate; all were higher during the modified protocol (P

Lectures and other types of teaching

A questionnaire on lectures was completed by 351 students (84% response) and 35 staff (76% response) from all five years of the veterinary course at the University of Queensland. Staff and students in all five years offered limited support for a reduction in the number of lectures in the course and the majority supported a reduction in the number of lectures in the clinical years. Students in the clinical years only and appropriate staff agreed that the number of lectures in fifth year should be reduced but were divided as to whether lectures in fifth year should be abolished. There was limited support for replacement of some lectures by computer assisted learning (CAL) programs, but strong support for replacement of some lectures by subject-based problem based learning (PBL) and strong support for more self-directed learning by students. Staff and students strongly supported the inclusion of more clinical problem solving in lectures in the clinical years and wanted these lectures to be more interactive. There was little support for lectures in the clinical years to be of the same type as in the preclinical years.

Constructing and reconstructing teaching roles: A focus on generative metaphors and dichotomies

Over the last several decades, a shift in thinking has brought to the fore the power of language as more than simply a method of expression. Indeed, language is a constituent part of social practices and social identity. For teachers, both pre-service and in-service, teaching roles are often represented through surface and generative metaphors, the latter of which are tacit. In order to study the way in which language, and in particular metaphor, influences thinking about teaching roles, the authors of this article combined their data to examine the metaphoric discourse of both pre-service and in-service teachers. Contextualizing two separate studies in their respective teacher education programs, this article highlights the obstacle of unexposed generative metaphors and the value of ongoing professional development. In addition, it emphasizes the importance of deconstructing traditional dichotomies as central to teacher education reform.

Normal values for pelvic organ descent in health nulligravid young caucasian women

Translabial ultrasound is increasingly being used for the assessment of women presenting with pelvic floor dysfunction and incontinence (1,2). However, there is little information on normal values for bladder neck descent, with the two available studies disagreeing widely (3,4). No data has so far been published on mobility of the central and posterior compartment which can now also be assessed by ultrasound (5). This study presents normal values for urethral, bladder, cervical and rectal mobility in a cohort of young, stress continent, nulliparous nonpregnant women. Methods 118 nonpregnant nulliparous Caucasian women between 18 and 23 years of age were recruited for an ongoing twin study of pelvic floor function. Translabial ultrasound assessment of pelvic organ mobility was undertaken supine and after bladder emptying (6,7). The best of at least three effective Valsalva manoeuvres was used for evaluation, with no attempts at standardization of Valsalva pressure. Parameters of anterior compartment mobility were obtained by the use of on-screen calipers; cervical and rectal descent were evaluated on printouts. All examinations were carried out under direct supervision of the first author or by personnel trained by him for at least 100 consecutive assessments. Results The median age of participants in this study was 20 (range 18- 23). Mean body mass index was 23 (range 16.9- 36.7). Of 118 women, 2 were completely unable to perform a Valsalva manoeuvre despite repeated efforts at teaching and were excluded from analysis, as were ten women who complained of urinary stress incontinence, leaving 106 datasets. Average measurements for the parameters ‘retrovesical angle at rest’ (RVA-R) and on Valsalva (RVA-S), urethral rotation, bladder neck mobility, cysto-cele descent, cervical descent and descent of the rectal ampulla are given in Table 1.

Historical and dialectical perspectives on the teaching of Aboriginal and Torres Strait Islander musics in the Australian education system

Indigenous studies (also referred to as Aboriginal and Torres Strait Islander studies) has a double identity in the Australian education system, consisting of the education of Indigenous students and education of all students about Aboriginal and Torres Strait Islander cultures and histories. Through explanations of the history of the inclusion of Aboriginal and Torres Strait Islander musics in Australian music education, this article critiques ways in which these musics have been positioned in relation to a number of agendas. These include definitions of Aboriginal and Torres Strait Islander musics as types of Australian music, as ethnomusicological objects, as examples of postcolonial discourse, and as empowerment for Indigenous students. The site of discussion is the work of the Australian Society for Music Education, as representative of trends in Australian school-based music education, and the Centre for Aboriginal Studies in Music at the University of Adelaide, as an example of a tertiary music program for Indigenous students.