Numeracy counts in the statistical reasoning equation

The relationship between mathematics and statistical reasoning frequently receives comment (Vere-Jones 1995, Moore 1997); however most of the research into the area tends to focus on maths anxiety. Gnaldi (Gnaldi 2003) showed that in a statistics course for psychologists, the statistical understanding of students at the end of the course depended on students’ basic numeracy, rather than the number or level of previous mathematics courses the student had undertaken. As part of a study into the development of statistical thinking at the interface between secondary and tertiary education, students enrolled in an introductory data analysis subject were assessed regarding their statistical reasoning ability, basic numeracy skills and attitudes towards statistics. This work reports on the relationships between these factors and in particular the importance of numeracy to statistical reasoning.

Some Exact-Solutions Describing Unsteady Plane Gas-Flows With Shocks

A new class of exact solutions of plane gasdynamic equations is found which describes piston-driven shocks into non-uniform media. The governing equations of these flows are taken in the coordinate system used earlier by Ustinov, and their similarity form is determined by the method of infinitesimal transformations. The solutions give shocks with velocities which either decay or grown in a finite or infinite time depending on the density distribution in the ambient medium, although their strength remains constant. The results of the present study are related to earlier investigations describing the propagation of shocks of constant strength into non-uniform media.

A Branch and Bound Algorithm for a Transportation Type Problem with Piecewise Linear Convex Objective Function

A branch and bound type algorithm is presented in this paper to the problem of finding a transportation schedule which minimises the total transportation cost, where the transportation cost over each route is assumed to be a piecewice linear continuous convex function with increasing slopes. The algorithm is an extension of the work done by Balachandran and Perry, in which the transportation cost over each route is assumed to beapiecewise linear discontinuous function with decreasing slopes. A numerical example is solved illustrating the algorithm.

Water-wave scattering by two submerged plane vertical barriers-Abel integral-equation approach

The classical problem of surface water-wave scattering by two identical thin vertical barriers submerged in deep water and extending infinitely downwards from the same depth below the mean free surface, is reinvestigated here by an approach leading to the problem of solving a system of Abel integral equations. The reflection and transmission coefficients are obtained in terms of computable integrals. Known results for a single barrier are recovered as a limiting case as the separation distance between the two barriers tends to zero. The coefficients are depicted graphically in a number of figures which are identical with the corresponding figures given by Jarvis (J Inst Math Appl 7:207-215, 1971) who employed a completely different approach involving a Schwarz-Christoffel transformation of complex-variable theory to solve the problem.

Should I stay or should I go?: Rural and remote students in first year university stem courses

Research on the achievement of rural and remote students in science and mathematics is located within a context of falling levels of participation in physical science and mathematics courses in Australian schools, and underrepresentation of rural students in higher education. International studies such as the Programme of International Student Assessment (PISA), have reported lower levels of mathematical and scientific literacy in Australian students from rural and remote schools (Thomson et al, 2011). The SiMERR national survey of science, mathematics and ICT education in rural and regional Australia (Lyons et al, 2006) identified factors affecting student achievement in rural and remote schools. Many of the issues faced by rural and remote students in their schools are likely to have implications on their university enrolments in science, technology, engineering and mathematics (STEM) courses. For example, rural and remote students are less likely to attend university in general than their city counterparts and higher university attrition rates have been reported for remote students nationally. This paper examines the responses of a sample of rural/remote Australian first year STEM students at Australian universities to two questions. These related to their intentions to complete the course; and whether -and if so, why- they had ever considered withdrawing from their course. Results indicated that rural students who were still in their course by the end of first year were no more or less likely to consider withdrawing than were their peers from more populous centres. However, almost 20% of the rural cohort had considered withdrawing at some stage in their course, and their explanations provide insights into the reasoning of those who may not persist with their courses at university. These results, in the context of the greater attrition rate of remote students from university, point to the need to identify factors that positively impact on rural and remote students’ interest and achievement in science and mathematics. It also highlights a need for future research into the particular issues remote students may face in deciding whether or not to do science at the two key transition points of senior school and university/TAFE studies, and whether or not to persist in their tertiary studies. This paper is positioned at the intersection of two problems in Australian education. The first is a context of falling levels of participation in physical science and mathematics courses in Australian universities. The second is persistent inequitable access to, and retention in, tertiary education for students from rural and remote areas. Despite considerable research attention to both of these areas over recent years these problems have thus far proved to be intractable. This paper therefore aims to briefly review the relevant Australian literature pertaining to these issues; that is, declining STEM enrolments, and the underrepresentation and retention of rural/remote students in higher education. Given the related problems in these two overlapping domains, we then explore the views of first year rural students enrolled in courses, in relation to their intentions of withdrawing (or not) and the associated reasons for their views.

An exponential stability criterion for certain nonlinear systems

Improved sufficient conditions are derived for the exponential stability of a nonlinear time varying feedback system having a time invariant blockG in the forward path and a nonlinear time varying gain ϕ(.)k(t) in the feedback path. φ(.) being an odd monotone nondecreasing function. The resulting bound on is less restrictive than earlier criteria.

Essays on corporate governance, stakeholders, and restructuring

This dissertation consists of an introductory section and three theoretical essays analyzing the interaction of corporate governance and restructuring. The essays adopt an incomplete contracts approach and analyze the role of different institutional designs to facilitate the alignment of the objectives of shareholders and management (or employees) over the magnitude of corporate restructuring. The first essay analyzes how a firm's choice of production technology affects the employees' human capital investment. In the essay, the owners of the firm can choose between a specific and a general technology that both require a costly human capital investment by the employees. The specific technology is initially superior in using the human capital of employees but, in contrast to the general technology, it is not compatible with future innovations. As a result, anticipated changes in the specific technology diminish the ex ante incentives of the employees to invest in human capital unless the shareholders grant the employees specific governance mechanisms (a right of veto, severance pay) so as to protect their investments. The results of the first essay indicate that the level of protection that the shareholders are willing to offer falls short of the socially desirable one. Furthermore, when restructuring opportunities become more abundant, it becomes more attractive both socially and from the viewpoint of the shareholders to initially adopt the general technology. The second essay analyzes how the allocation of authority within the firm interacts with the owners' choice of business strategy when the ability of the owners to monitor the project proposals of the management is biased in favor of the status quo strategy. The essay shows that a bias in the monitoring ability will affect not only the allocation of authority within the firm but also the choice of business strategy. Especially, when delegation has positive managerial incentive effects, delegation turns out to be more attractive under the new business strategy because the improved managerial incentives are a way for the owners to compensate their own reduced information gathering ability. This effect, however, simultaneously makes the owners hesitant to switch the strategy since it would involve a more frequent loss of control over the project choice. Consequently, the owners' lack of knowledge of the new business strategy may lead to a suboptimal choice of strategy. The third essay analyzes the implications of CEO succession process for the ideal board structure. In this essay, the presence of the departing CEO on the board facilitates the ability of the board to find a matching successor and to counsel him. However, the ex-CEO's presence may simultaneously also weaken the ability of the board to restructure since the predecessor may use the opportunity to distort the successor's project choice. The results of the essay suggest that the extent of restructuring gains, the firm's ability to hire good outside directors and the importance of board's advisory role affect at which point and for how long the shareholders may want to nominate the predecessor to the board.

An exponential stability criterion for certain nonlinear systems

Improved sufficient conditions are derived for the exponential stability of a nonlinear time varying feedback system having a time invariant blockG in the forward path and a nonlinear time varying gain ϕ(.)k(t) in the feedback path. φ(.) being an odd monotone nondecreasing function. The resulting bound on $$\left( {{{\frac{{dk}}{{dt}}} \mathord{\left/ {\vphantom {{\frac{{dk}}{{dt}}} k}} \right. \kern-\nulldelimiterspace} k}} \right)$$ is less restrictive than earlier criteria.

Ministers as strategic political leaders? : Strategic political steering after NPM reforms in Finland

This study explores strategic political steering after the New Public Management (NPM) reforms, with emphasis on the new role assigned to Government ministers in Finland. In the NPM model, politicians concentrate on broad, principal issues, while agencies have discretion within the limits set by politicians. In Finland, strategic steering was introduced with Management by Results (MBR), but the actual tools for strategic political steering have been the Government Programme, the Government Strategy Portfolio (GSP) and Frame Budgeting. This study addresses these tools as means of strategic steering conducted by the Cabinet and individual ministers within their respective ministries. The time frame of the study includes the two Lipponen Cabinets between 1995 and 2003. Interviews with fourteen ministers as well as with fourteen top officials were conducted. In addition, administrative reform documents and documents related to strategic steering tools were analysed. The empirical conclusions of the study can be summarised as follows: There were few signs of strategic political steering in the Lipponen Cabinets. Although the Government Programmes of both Cabinets introduced strategic thinking, the strategic guidelines set forth at the beginning of the Programme were not linked to the GSP or to Frame Budgeting. The GSP could be characterised as the collected strategic agendas of each ministry, while there was neither the will nor the courage among Cabinet members to prioritise the projects and to make selections. The Cabinet used Frame Budgeting mainly in the sense of spending limits, not in making strategic allocation decisions. As for the GSP at the departmental level, projects were suggested by top officials, and ministers only approved the suggested list. Frame Budgeting at the departmental level proved to be the most interesting strategic steering tool from ministers viewpoint: they actively participated in defining which issues would need extra financing. Because the chances for extra financing were minimal, ministers had an effect only on a marginal share of the budget. At the departmental level, the study shows that strategic plans were considered the domain of officials. As for strategies concerning specific substances, there was variation in the interest shown by the ministers. A few ministers emphasised the importance of strategic work and led strategy processes. In most cases, however, officials led the process while ministers offered comments on the drafts of strategy documents. The results of this study together with experiences reported in other countries and local politics show that political decision-makers have difficulty operating at the strategic level. The conclusion is that politicians do not have sufficient incentive to perform the strategic role implied by the NPM type of reforms. Overall, the empirical results of the study indicate the power of politics over management reforms.

A denotational semantics for the generalized ER model and a simple ER algebra

The recent spurt of research activities in Entity-Relationship Approach to databases calls for a close scrutiny of the semantics of the underlying Entity-Relationship models, data manipulation languages, data definition languages, etc. For reasons well known, it is very desirable and sometimes imperative to give formal description of the semantics. In this paper, we consider a specific ER model, the generalized Entity-Relationship model (without attributes on relationships) and give denotational semantics for the model as well as a simple ER algebra based on the model. Our formalism is based on the Vienna Development Method—the meta language (VDM). We also discuss the salient features of the given semantics in detail and suggest directions for further work.

On computing an equivalent symmetric matrix for a nonsymmetric matrix

A real or a complex symmetric matrix is defined here as an equivalent symmetric matrix for a real nonsymmetric matrix if both have the same eigenvalues. An equivalent symmetric matrix is useful in computing the eigenvalues of a real nonsymmetric matrix. A procedure to compute equivalent symmetric matrices and its mathematical foundation are presented.

Elämänmuutoksen, jännityksen ja asiantuntijuuden representointi Veikkaus Oy:n mainonnassa vuosina 1970— 2006

Aim of this master's thesis paper for consumer economics, is to research gambling advertisements in Finland over a period of 35 years, from 1970 to 2006. Veikkaus Oy (later Veikkaus), was founded in 1940, as one of the three licensed gambling organizations in Finland. Material for the current research comprised 1494 advertisements published by Veikkaus in newspapers and magazines at that time. Veikkaus has the exclusive licence to organize lotto games, sport games, instant games and other draw games in Finland. The other two operators, The Finnish Slot Machine Association RAY and Fintoto (on-track horse betting), were not included in the current analysis. This study has been completed according to research contract and grand by the Finnish Foundation for Gaming Research (Pelitoiminnan tutkimussäätiö). In general, advertisements reflect surrounding culture and time, and their message is built on stratified meanings, symbols and codes. Advertising draws the viewer's attention, introduces the advertised subject, and finally, affects the individual's consumption habits. However, advertisements not only work on individual level, but also influence public perception of the advertised product. Firstly, in order to assess gambling as a phenomenon, this paper discusses gambling as consumer behaviour, and also reviews history of gambling in Finland. Winning is a major feature of gambling, and dreaming about positive change of life is a centre of most gambling ads. However, perceived excitement through risk of losing can also be featured in gambling ads. Secondly, this study utilizes Veikkaus’ large advertising archives, were advertising data is analyzed by content analysis and the semiotic analysis. Two methods have been employed to support analyzing outcome in a synergistic way. Content analysis helps to achieve accuracy and comprehensiveness. Semiotic analysis allows deeper and more sensitive analysis to emerged findings and occurrences. It is important to understand the advertised product, as advertising is bound to the culture and time. Hence, to analyze advertising, it is important to understand the environment where the ads appear. Content analysis of Veikkaus data discovered the main gambling and principal advertisement style for each.period. Interestingly, nearly half of Veikkaus’ advertisements promoted topic other than “just winning the bet”. Games of change, like Lotto, typically advertised indirectly represented dreams about winning. In the category of skill gambling, features were represented as investment, and the excitement of sporting expertise was emphasized. In addition, there were a number of gambling ads that emphasize social responsibility of Veikkaus as a government guided organization. Semiotic methods were employed to further elaborate on findings of content analysis. Dreaming in the advertisements was represented by the product of symbols, (e.g. cars and homes) that were found to have significance connection with each other. Thus, advertising represents change of life obtained by the winning. Interestingly, gambling ads promoting jackpots were often representing religious symbolisms. Ads promoting social responsibility were found to be the most common during economical depression of the 90’s. Deeper analysis showed that at that time, advertisements frequently represented depression-related meanings, such as unemployment and bank loans. Skill gaming ads were often represented by sports expertise – late 90’s, their number started sky rocketing, and continued increasing until 2006 (when this study ended). One may conclude that sport betting draws its meanings from the relevant consumer culture, and from the rules and features of the betted sport.