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.

Size Matters: The Effect of the Size of Ethnic Groups on Development

The share of ethnic groups is one of the most important features of African politics. It affects civil wars, representation in government positions, distributive and allocative policies. In this paper we use the partition of ethnic groups as a natural experiment in order to estimate the effect of the share of these ethnic groups on development. We show that larger groups have an advantage in terms of development and that the partition in itself does not matter for development. This result is explained by the fact that the partition matters only when the resulting groups are relatively small, since their lack of political representation may weaken support for institutions, may bias policies and the provision of ethnic/regional public goods.

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.

The religious content of ethnic identities

The religious dimensions of ethnic identities have been under-theorized. In contemporary industrial societies there is a tendency to characterize religiously demarcated groups as 'really' ethnic.This article suggests that the religious content of ethnic boundaries may be more important than might initially be assumed. A religious identification may have specific religious content and assumptions that may cause it to operate in different ways from other identities. Even if identities do not seem primarily religious per se, they may have latent religious dimensions that can become reactivated. Whilst identity conflicts and other social struggles may stimulate the return of the religious, once reactivated, the religious dimensions of identity may take on a logic of their own.Therefore, the article argues that in many contexts there is a two-way relationship between religion and ethnicity. Each can stimulate the other, rather than religion simply playing a supporting role to the ethnic centrepiece.

Racist harassment in the white hinterlands: minority ethnic children and parents' experiences in schools in Northern Ireland

This article explores the nature and extent of racist harassment in predominantly white areas. It is based upon a case study of Northern Ireland and draws upon data from indepth interviews with a total of 32 children and 43 parents drawn from the four largest minority ethnic groups in the region: Chinese, Irish Travellers, South Asians and Black Africans. The article demonstrates that racist harassment is a significant problem in schools in Northern Ireland and highlights the varied forms that it can take from overt acts of physical and verbal abuse to more covert and subtle forms of teasing and 'friendly' banter. Following a consideration of the differing responses that schools have made to racist incidents reported to them by children and/or parents, the article concludes by considering the implications of the findings and re-affirming the argument that anti-racist strategies are as relevant and necessary for schools in predominantly white regions as they are in multi-ethnic areas.

The Masculine Habitus as 'Distributed Cognition': A Case Study of 5- to 6-Year-Old Boys in an English Inner-City, Multi-Ethnic Primary School

This article provides a case study demonstrating the active role that 5- to 6-year-old boys in an English inner-city, multi-ethnic primary school play in the appropriation and reproduction of their masculine identities. It is argued that the emphasis on physicality, violence and racism found among the boys cannot be understood without reference to the immediate contexts of the local community and the school within which they are located. In making this argument the article draws upon and applies the concept of the habitus and develops this with the notion of 'distributed cognition' as proposed in sociocultural theory. Some of the implications of this analysis for working with boys in early years settings are discussed in the conclusion.

Mathematical prerequisites for learning statistics in Psychology: Assessing core skills of numeracy and mathematical reasoning among undergraduates.

This study sought to extend earlier work by Mulhern and Wylie (2004) to investigate a UK-wide sample of psychology undergraduates. A total of 890 participants from eight universities across the UK were tested on six broadly defined components of mathematical thinking relevant to the teaching of statistics in psychology - calculation, algebraic reasoning, graphical interpretation, proportionality and ratio, probability and sampling, and estimation. Results were consistent with Mulhern and Wylie's (2004) previously reported findings. Overall, participants across institutions exhibited marked deficiencies in many aspects of mathematical thinking. Results also revealed significant gender differences on calculation, proportionality and ratio, and estimation. Level of qualification in mathematics was found to predict overall performance. Analysis of the nature and content of errors revealed consistent patterns of misconceptions in core mathematical knowledge , likely to hamper the learning of statistics.