Summary statistics, educational achievement gaps and the ecological fallacy

Summary statistics continue to play an important role in identifying and monitoring patterns and trends in educational inequalities between differing groups of pupils over time. However, this article argues that their uncritical use can also encourage the labelling of whole groups of pupils as ‘underachievers’ or ‘overachievers’ as the findings of group-level data are simply applied to individual group members, a practice commonly termed the ‘ecological fallacy’. Some of the adverse consequences of this will be outlined in relation to current debates concerning gender and ethnic differences in educational attainment. It will be argued that one way of countering this uncritical use of summary statistics and the ecological fallacy that it tends to encourage, is to make much more use of the principles and methods of what has been termed ‘exploratory data analysis’. Such an approach is illustrated through a secondary analysis of data from the Youth Cohort Study of England and Wales, focusing on gender and ethnic differences in educational attainment. It will be shown that, by placing an emphasis on the graphical display of data and on encouraging researchers to describe those data more qualitatively, such an approach represents an essential addition to the use of simple summary statistics and helps to avoid the limitations associated with them.

The effects and side-effects of statistics education: Psychology students’ (mis-)conceptions of probability

In three studies we looked at two typical misconceptions of probability: the representativeness heuristic, and the equiprobability bias. The literature on statistics education predicts that some typical errors and biases (e.g., the equiprobability bias) increase with education, whereas others decrease. This is in contrast with reasoning theorists’ prediction who propose that education reduces misconceptions in general. They also predict that students with higher cognitive ability and higher need for cognition are less susceptible to biases. In Experiments 1 and 2 we found that the equiprobability bias increased with statistics education, and it was negatively correlated with students’ cognitive abilities. The representativeness heuristic was mostly unaffected by education, and it was also unrelated to cognitive abilities. In Experiment 3 we demonstrated through an instruction manipulation (by asking participants to think logically vs. rely on their intuitions) that the reason for these differences was that these biases originated in different cognitive processes.

End-of-Life care and people with intellectual disabilities: A multi-media educational resource

Aim This study aimed to develop and evaluate a multi-media educational resource in palliative and end-of-life care for specialist palliative care and intellectual disability services which promoted collaborative working. Methods: A mixed methods design involving three phases was used. Qualitative data were obtained from semi-structured interviews with a purposive sample of professionals (n=30) and family carers (n=5) and from two focus groups with people with intellectual disabilities (n=17). Data were content analysed as outlined y Newell and Burnard (2006). This identified training needs and issues, in end-of-life care for this population which were confirmed through quantitative data from services in a regional scoping study analysed using descriptive statistics. A DVD and manual were developed and evaluated with twelve professionals. Data were collected using a solicited diary, the Readiness for Inter-professional Learning Scale, Likert Scales and an evaluation questionnaire. Thematic analysis and descriptive statistics appropriate to data were used.Results: Findings suggest that this resource demonstrates the need for and benefits of partnership working and transferability of this learning to practice could address issues at end-of-life for people with intellectual disabilities. Conclusions: Findings of this study have importance for partnership working and service provision in end-of-life care for this population.

Fault Diagnosis in Internal Combustion Engines Using Nonlinear Multivariate Statistics

This paper presents a statistical-based fault diagnosis scheme for application to internal combustion engines. The scheme relies on an identified model that describes the relationships between a set of recorded engine variables using principal component analysis (PCA). Since combustion cycles are complex in nature and produce nonlinear relationships between the recorded engine variables, the paper proposes the use of nonlinear PCA (NLPCA). The paper further justifies the use of NLPCA by comparing the model accuracy of the NLPCA model with that of a linear PCA model. A new nonlinear variable reconstruction algorithm and bivariate scatter plots are proposed for fault isolation, following the application of NLPCA. The proposed technique allows the diagnosis of different fault types under steady-state operating conditions. More precisely, nonlinear variable reconstruction can remove the fault signature from the recorded engine data, which allows the identification and isolation of the root cause of abnormal engine behaviour. The paper shows that this can lead to (i) an enhanced identification of potential root causes of abnormal events and (ii) the masking of faulty sensor readings. The effectiveness of the enhanced NLPCA based monitoring scheme is illustrated by its application to a sensor fault and a process fault. The sensor fault relates to a drift in the fuel flow reading, whilst the process fault relates to a partial blockage of the intercooler. These faults are introduced to a Volkswagen TDI 1.9 Litre diesel engine mounted on an experimental engine test bench facility.

Constructions of locality and gender and their impact on the educational aspirations of working class children

Over recent years the moral panic that has surrounded 'boys' underachievement' has tended to encourage crude and essentialist comparisons between all boys and all girls and to eclipse the continuing and more profound effects on educational achievement exerted by social class and 'race'/ethnicity. While there are differences in educational achievement between working class boys and girls, these differences are relatively minor when comparing the overall achievement levels of working class children with those from higher, professional social class backgrounds. This paper argues that a need exists therefore for researchers to fully contextualise the gender differences that exist in educational achievement within the over-riding contexts provided by social class and 'race'/ethnicity. The paper provides an example of how this can be done through a case study of 11-year-old children from a Catholic, working class area in Belfast. The paper shows how the children's general educational aspirations are significantly mediated by their experiences of the local area in which they live. However, the way in which the children come to experience and construct a sense of locality differs between the boys and girls and this, it is argued, helps to explain the more positive educational aspirations held by some of the girls compared to the boys. The paper concludes by considering the relevance of locality for understanding its effects on educational aspirations among other working class and/or minority ethnic communities.

Teachers and pupils: educational experiences and school based responses to the conflict in Northern Ireland

This article describes a study which examined (a) the impact of the political conflict on teachers' and ppils' experiences of education in Northern Ireland and (b) the impact of curricular-based interventions designed to support the ppils and reduce prejudice. The focus of the second part of the article is on the prejudice reduction initiatives identified. A total of 44 staff and 78 pupils spread across 8 schools participated and both teachers' and ppils' perspectives were identified, the latter being an extremely important dimension which has rarely been addressed in previous studies of this area. The findings, which highlight the complexity of the impact of the political conflict, are considered to have both practical and theoretical implications for prejudice reduction programs.