Assessing model mimicry using the parametric bootstrap

We present a general sampling procedure to quantify model mimicry, defined as the ability of a model to account for data generated by a competing model. This sampling procedure, called the parametric bootstrap cross-fitting method (PBCM; cf. Williams (J. R. Statist. Soc. B 32 (1970) 350; Biometrics 26 (1970) 23)), generates distributions of differences in goodness-of-fit expected under each of the competing models. In the data informed version of the PBCM, the generating models have specific parameter values obtained by fitting the experimental data under consideration. The data informed difference distributions can be compared to the observed difference in goodness-of-fit to allow a quantification of model adequacy. In the data uninformed version of the PBCM, the generating models have a relatively broad range of parameter values based on prior knowledge. Application of both the data informed and the data uninformed PBCM is illustrated with several examples.     

Changes in executive control across the life span: examination of task-switching performance

A study was conducted to examine changes in executive control processes over the life span. More specifically, changes in processes responsible for preparation and interference control that underlie the ability to flexibly alternate between two different tasks were examined. Individuals (N = 152) ranging in age from 7 to 82 years participated in the study. A U-shaped function was obtained for switch costs (i.e., the time required to switch between tasks compared with a repeated-task baseline), with larger costs found for young children and older adults. Switch costs were reduced with practice, particularly for children. All age groups benefited from increased preparation time, with larger benefits observed for children and older adults. Adults benefited to a greater extent than children when the interval between the response to one task and the cue indicating which task to perform next was lengthened, which suggested faster decay of interference from the old task set for adults than for children. A series of hierarchical analyses indicated that the age-related variance in task-switching performance is independent, at least in part, from the age-related variance in other cognitive processes such as perceptual speed and working memory. The results are discussed in terms of the development and decline of executive control processes across the life span.     

Civic religion in England: Traditions and transformations

As the religious diversity of English towns and cities has grown over the past thirty years due to the establishment in some places of sizeable communities of Hindus, Muslims and Sikhs, as well as other faiths, there have been important changes to local public religion. Traditional civic ceremonies, such as Remembrance Sunday, as well as new forms of civic celebration and commemoration, are now increasingly taking account of the diversity of faiths represented in Britain. This paper examines the consequences of religious diversity for English civic religion by looking at some of the traditions of civic ceremonies in England and at the way in which they have been transformed by the changing religious landscape of towns and cities. The paper also explores some of the dilemmas and questions that have emerged both for the Church of England as well as for the other faith communities when it comes to the design and delivery of civic ceremonies.     

Mathematical engineering and mathematical change 1

In this paper, I introduce and examine the notion of “mathematical engineering” and its impact on mathematical change. Mathematical engineering is an important part of contemporary mathematics and it roughly consists of the “construction” and development of various machines, probes and instruments used in numerous mathematical fields. As an example of such constructions, I briefly present the basic steps and properties of homology theory. I then try to show that this aspect of contemporary mathematics has important consequences on our conception of mathematical knowledge, in particular mathematical growth.     

The impact of psychological distance on integrative internal dialogs

Negotiators more distanced from the negotiated goal more often exhibit integrative behavior, which maximizes both their individual and joint outcomes. Based on the assumption of an analogy between interpersonal negotiations and internal dialogs simulating social relationships, an experiment was carried out. It aimed to verify if psychological distance (proximal vs. distant perspective on the situation enacted in an internal dialog) affects the processes of integration and confrontation and, consequently, increases the frequency of integrative dialogs. Data from 115 participants (56 women) were analyzed. An increase in psychological distance was found to reduce the intensity of the confrontation process and to cause an increase in the number of integrative internal dialogs.     

Testing a model of codependency for college students in Taiwan based on Bowen's concept of differentiation

The purpose of this study was to test a model of codependency based on Bowen's concept of differentiation for college students in Taiwan. The relations between family‐of‐origin dysfunction, differentiation of self, codependency traits and related symptoms including low self‐esteem, relationship distress and psychological adjustment problems were examined. Data were collected from 567 college students from 2 large, urban universities in northern Taiwan. Results indicated a significantly negative relationship between levels of codependency and self‐differentiation and that self‐differentiation partially mediated the relationship between family‐of‐origin dysfunction and codependency. The implications of these findings for counselling Taiwanese college students who experience codependency traits and related symptoms as well as suggestions for future research are discussed.     

Rethinking the Great Commission: Incorporation of Akan Indigenous Symbols into Christian Worship

Symbols are communicative tools with performative functions in all cultures. Apart from their decorative functions, non‐Christian symbols adopted into Christianity have had a tremendous impact on Christian life since the early times, especially in liturgical practices. Through Western missionary activities, Ghana inherited Christian biblical‐liturgical art as has been developed in the home countries of the missionaries. However, since the 1960s Adinkra symbols have been incorporated into Christian worship and theology, receiving attention within secular and religious circles because of their communicative potential. On the religious level, some churches have adopted them as logos or incorporated them into architectural designs and liturgical art. This paper seeks to investigate what motivates various missions to choose particular Adinkra symbol(s) and what they hope to achieve with them. Furthermore, it attempts a theological reflection on the communicative potential of artefacts in Ghanaian Christianity as a response to the “Great Commission. “We approach the subject from a historical, contextual, and theological perspective, using selected Roman Catholic and Methodist churches in Ghana as case studies. The study employed unstructured in‐depth interviews and photo elicitations to trace the relationship between visual arts and religion, with particular emphasis on Christian visual arts and how they have informed Christianity in Ghana.