Data methods in optometry. Part 10: non-linear regression analysis

1. The techniques associated with regression, whether linear or non-linear, are some of the most useful statistical procedures that can be applied in clinical studies in optometry. 2. In some cases, there may be no scientific model of the relationship between X and Y that can be specified in advance and the objective may be to provide a ‘curve of best fit’ for predictive purposes. In such cases, the fitting of a general polynomial type curve may be the best approach. 3. An investigator may have a specific model in mind that relates Y to X and the data may provide a test of this hypothesis. Some of these curves can be reduced to a linear regression by transformation, e.g., the exponential and negative exponential decay curves. 4. In some circumstances, e.g., the asymptotic curve or logistic growth law, a more complex process of curve fitting involving non-linear estimation will be required.

Reduced metal transferrin binding in neurological diseases

By employing G75 gel-filtration chromotography, it has been demonstrated that human plasma gallium speciation (and by implication, Al speciation) is bimodal. Normally, gallium was predominantly bound to a high molecular weight fraction which was presumably transferrin. Literature reviews and experimental work throughout this thesis provided evidence to support this idea. An aluminium-transferrin species was assumed to be relatively non-toxic and a protective function for this complex has been suggested. A second, low molecular weight species of gallium was observed and its identity has been suggested to be citrate. The results of this thesis support the concept citrate was a gallium binding ligand present in the plasma, but there was another species (tentatively identified as phosphate) which bound gallium to a much greater degree than did citrate in the majority of samples studied. The consequence of a low molecular weight species of aluminium is the possibility that this leads to a more rapid, uncontrolled deposition of the metal in the brain compared to a transferrin mediated mechanism. Plasma speciation studies in Alzheimer's disease, Parkinson's disease, Down's syndrome, and neonates has revealed an altered ratio of the two gallium species found in control subjects. In all groups there was an increase in the potentially more neurotoxic low molecular weight species. These observations have led to a suggested mechanism of accumulation of metals in the brain, which is known to occur in the first three groups. Possible pathogenic mechanisms are described. The results can also offer an explanation to the reported increased sensitivity to the toxic effects of aluminium in the neonate. Speciation studies on normal plasma has shown the balance between high and low molecular weight species of gallium to be influenced by many physiological factors. There appears to be a fine equilibrium between both species which can be altered without any great difficulty. Therefore, in the diseased groups studied, it is possible that there are subtle biochemical changes within the circulatory system to affect the equilibrium which results in an increased low molecular weight species of aluminium. Furthermore, it has been demonstrated that there is a group of normal controls with no clinical signs of Alzheimer's or Parkinson's disease which have reduced transferrin binding. This indicates there is a population of healthy people who are at risk to the development of either disease.

The need for wider supply chain management adoption:empirical results from Ireland

Purpose - This paper aims to provide empirical results which suggest that there is a need for more widespread adoption of supply chain management among Irish firms. Design/methodology/approach - The Republic of Ireland is a small, open, trade-dependent economy and is one of the fastest growing economies in the developed world. However, due to rising costs, there is an increasing trend in Ireland to outsource lower function manufacturing processes to lower-cost locations but to retain high-skill functions (such as R&D). This trend, together with other factors such as its peripheral location, suggests that supply chain management is critical from an Irish perspective. In order to gain unique insights of current levels of awareness/adoption of SCM and the potential impact SCM could have on competitiveness, a survey was conducted among 776 Irish firms. Findings - Overall, the findings suggest that many firms in Ireland pay lip-service to the importance of SCM elements and objectives but the majority of firms, about two thirds, have only a passing understanding of what constitutes SCM. Only 25 per cent adopt SCM programmes and only 9 per cent of Irish companies have a specialised SCM or logistics manager. The gaps in their understanding of SCM are matched by the gaps in their awareness of key costs (e.g. 59 per cent of companies do not know their total supply chain costs). While there are supply chain management adopters in Ireland that are already well up the s-curve of innovation transfer, it is the larger group of less aware companies that must become better at how they manage their supply chains. Originality/value - The paper offers a useful insight into supply chain management and its role in Irish industry. © Emerald Group Publishing Limited.

How unlucky is 25-sigma?

Purpose - To identify the likelihood of a 25-standard deviation occurring in stock prices over several successive days, in the light of comments by David Viniar, chief financial officer of Goldman Sachs.. Design/methodology/approach - Assumes a bell-curve of market losses and graphs the probability of an event relative to the number of deviations. Calculates using MATLAB for sigmas over 7. Considers whether the losses of US investment banks in 2008 were the result of bad luck or of incompetence. Findings - Finds that the probability of a 25-sigma event is every 100,000 +130 decimal points years. Practical implications - Argues that bad luck is usually associated with incompetence, and investors need not choose between them. Originality/value - Presents the mathematical absurdity of a finance officer's statement, and its implications.

Broadly tunable high-power random fibre laser

As shown recently, a long telecommunication fibre may be treated as a natural one-dimensional random system, where lasing is possible due to a combination of random distributed feedback via Rayleigh scattering by natural refractive index inhomogeneities and distributed amplification through the Raman effect. Here we present a new type of a random fibre laser with a narrow (∼1 nm) spectrum tunable over a broad wavelength range (1535-1570 nm) with a uniquely flat (∼0.1 dB) and high (>2 W) output power and prominent (>40 %) differential efficiency, which outperforms traditional fibre lasers of the same category, e.g. a conventional Raman laser with a linear cavity formed in the same fibre by adding point reflectors. Analytical model is proposed that explains quantitatively the higher efficiency and the flatter tuning curve of the random fiber laser compared to conventional one. The other important features of the random fibre laser like "modeless" spectrum of specific shape and corresponding intensity fluctuations as well as the techniques of controlling its output characteristics are discussed. Outstanding characteristics defined by new underlying physics and the simplicity of the scheme implemented in standard telecom fibre make the demonstrated tunable random fibre laser a very attractive light source both for fundamental science and practical applications such as optical communication, sensing and secure transmission. © 2012 Copyright Society of Photo-Optical Instrumentation Engineers (SPIE).

Online two-section PV array fault diagnosis with optimized voltage sensor locations

Photovoltaic (PV) stations have been widely built in the world to utilize solar energy directly. In order to reduce the capital and operational costs, early fault diagnosis is playing an increasingly important role by enabling the long effective operation of PV arrays. This paper analyzes the terminal characteristics of faulty PV strings and arrays, and it develops a PV array fault diagnosis technique. The terminal current-voltage curve of a faulty PV array is divided into two sections, i.e., high-voltage and low-voltage fault diagnosis sections. The corresponding working points of healthy string modules and of healthy and faulty modules in an unhealthy string are then analyzed for each section. By probing into different working points, a faulty PV module can be located. The fault information is of critical importance for the maximum power point tracking and the array dynamical reconfiguration. Furthermore, the string current sensors can be eliminated, and the number of voltage sensors can be reduced by optimizing voltage sensor locations. Typical fault scenarios including monostring, multistring, and a partial shadow for a 1.6-kW 3 $times$ 3 PV array are presented and experimentally tested to confirm the effectiveness of the proposed fault diagnosis method.

Virtuous or vicious cycle? Inscribing diverse professional values in lecture capture systems

This paper examines how the introduction and use of a new information system affects and is affected by the values of a diverse professional workforce. It uses the example of lecture capture systems in a university. Its contribution is to combine two concepts taken from actor-network theory, namely accumulation and inscription, and combine them with an integrated framework of diversity management. A model is developed of accumulation cycles in lecture capture usage, involving multiple interacting actants, including the broader environment, management commitment to diversity, work group characteristics, individual practices and the affordances of technology. Using this model, alternative future inscriptions can be identified - an optimal one, which enhances professional values, as a result of a virtuous accumulation cycle, or a sub-optimal one, as a result of a vicious cycle. It identifies diversity management as an important influence on how professional values are enhanced, modified or destroyed.