On classical and other methods of discriminant analysis and estimation of log-odds

For two multinormal populations with equal covariance matrices the likelihood ratio discriminant function, an alternative allocation rule to the sample linear discriminant function when n1 ≠ n2 ,is studied analytically. With the assumption of a known covariance matrix its distribution is derived and the expectation of its actual and apparent error rates evaluated and compared with those of the sample linear discriminant function. This comparison indicates that the likelihood ratio allocation rule is robust to unequal sample sizes. The quadratic discriminant function is studied, its distribution reviewed and evaluation of its probabilities of misclassification discussed. For known covariance matrices the distribution of the sample quadratic discriminant function is derived. When the known covariance matrices are proportional exact expressions for the expectation of its actual and apparent error rates are obtained and evaluated. The effectiveness of the sample linear discriminant function for this case is also considered. Estimation of true log-odds for two multinormal populations with equal or unequal covariance matrices is studied. The estimative, Bayesian predictive and a kernel method are compared by evaluating their biases and mean square errors. Some algebraic expressions for these quantities are derived. With equal covariance matrices the predictive method is preferable. Where it derives this superiority is investigated by considering its performance for various levels of fixed true log-odds. It is also shown that the predictive method is sensitive to n1 ≠ n2. For unequal but proportional covariance matrices the unbiased estimative method is preferred. Product Normal kernel density estimates are used to give a kernel estimator of true log-odds. The effect of correlation in the variables with product kernels is considered. With equal covariance matrices the kernel and parametric estimators are compared by simulation. For moderately correlated variables and large dimension sizes the product kernel method is a good estimator of true log-odds.

Non-product related environmental process and production methods (NPR-PPMs): a view from international trade law and international environmental governance

The primary aim of this thesis is to analyse legal and governance issues in the use of Environmental NPR-PPMs, particularly those aiming to promote sustainable practices or to protect natural resources. NPR-PPMs have traditionally been thought of as being incompatible with the rules of the World Trade Organization (WTO). However, the issue remains untouched by WTO adjudicatory bodies. One can suggest that WTO adjudicatory bodies may want to leave this issue to the Members, but the analysis of the case law also seems to indicate that the question of legality of NPR-PPMs has not been brought ‘as such’ in dispute settlement. This thesis advances the argument that despite the fact that the legal status of NPR-PPMs remains unsettled, during the last decades adjudicatory bodies have been scrutinising environmental measures based on NPR-PPMs just as another expression of the regulatory autonomy of the Members. Though NPR-PPMs are regulatory choices associated with a wide range of environmental concerns, trade disputes giving rise to questions related to the legality of process-based measures have been mainly associated with the protection of marine wildlife (i.e., fishing techniques threatening or affecting animal species). This thesis argues that environmental objectives articulated as NPR-PPMs can indeed qualify as legitimate objectives both under the GATT and the TBT Agreement. However, an important challenge for the their compatibility with WTO law relate to aspects associated with arbitrary or unjustifiable discrimination. In the assessment of discrimination procedural issues play an important role. This thesis also elucidates other important dimensions to the issue from the perspective of global governance. One of the arguments advanced in this thesis is that a comprehensive analysis of environmental NPR-PPMs should consider not only their role in what is regarded as trade barriers (governmental and market-driven), but also their significance in global objectives such as the transition towards a green economy and sustainable patterns of consumption and production.

Source apportionment of PM2.5 in Cork Harbour, Ireland using a combination of single particle mass spectrometry and quantitative semi-continuous measurements

An aerosol time-of-flight mass spectrometer (ATOFMS) was deployed for the measurement of the size resolved chemical composition of single particles at a site in Cork Harbour, Ireland for three weeks in August 2008. The ATOFMS was co-located with a suite of semi-continuous instrumentation for the measurement of particle number, elemental carbon (EC), organic carbon (OC), sulfate and particulate matter smaller than 2.5 μm in diameter (PM2.5). The temporality of the ambient ATOFMS particle classes was subsequently used in conjunction with the semi-continuous measurements to apportion PM2.5 mass using positive matrix factorisation. The synergy of the single particle classification procedure and positive matrix factorisation allowed for the identification of six factors, corresponding to vehicular traffic, marine, long-range transport, various combustion, domestic solid fuel combustion and shipping traffic with estimated contributions to the measured PM2.5 mass of 23%, 14%, 13%, 11%, 5% and 1.5% respectively. Shipping traffic was found to contribute 18% of the measured particle number (20–600 nm mobility diameter), and thus may have important implications for human health considering the size and composition of ship exhaust particles. The positive matrix factorisation procedure enabled a more refined interpretation of the single particle results by providing source contributions to PM2.5 mass, while the single particle data enabled the identification of additional factors not possible with typical semi-continuous measurements, including local shipping traffic.

Hearing family carers: report on research undertaken with family carers in Cork

This report details the findings of research undertaken with family carers in Cork during 2007 – 2008. The research was undertaken to elicit the views and experiences of family carers, and in so doing, to gain insight into their perspectives on family caring and on associated support mechanisms. It is hoped that, thereafter, policy can draw on these observations. Three key themes emerged from the research itself. These are (i) the role and position of the family carer in society, (ii) the process of family caring itself and (iii) access to and knowledge of key support services. This report, then, draws attention to the extent and dynamics of family caring, as seen through the opinions and experiences of carers located in and nearby Cork city. It has the following format. In the first instance we turn our attention to a discussion of family caring in Ireland, and associated supports more generally. This includes a discussion on key issues arising in the general discourse around family caring in Ireland and internationally, in order to provide a context from which to locate the experiences of carers involved in this research study. Thereafter, we detail the methodology employed in this research study, which followed a method of research enquiry that values the input of participants from the early stages of research focus and design, and which incorporates qualitative and quantitative methods of enquiry. The research was conceptualised and developed in conjunction with The Carers Association, Cork in keeping with an approach to social research that attempts to link academic and activist/advocacy interests. Its aims were to identify issues that family carers in the locality considered important, with a view to contributing to local knowledge, providing a forum for ongoing research, and to informing policy developments on carers. The focus of the report then turns to profiling carers who participated in the research, examining the care they provide, and discussing support they receive from family, friends and neighbours – from informal sources. We then look to the access carers have to formal and public, community-based support services. We examine their experiences of, and concerns with regard to some of these key services, and look at ways that such issues might be addressed. The next section concentrates on financial supports, a range of which are available to carers, for instance, to supplement income and to assist with home renovations. We look at their uptake and issues arising, again with a view to understanding and addressing them from the perspectives of the service users. Finally, the report turns its attention to aspirations that carers have for themselves; in terms of their own personal, training, and employment options. The report concludes by drawing attention to key issues discussed throughout and makes a number of key recommendations, aimed at addressing the voiced opinions and experiences of carers that have emerged through the research.