Modeling cumulative evidence for freedom from disease with applications to BSE surveillance trials

This investigation deals with the question of when a particular population can be considered to be disease-free. The motivation is the case of BSE where specific birth cohorts may present distinct disease-free subpopulations. The specific objective is to develop a statistical approach suitable for documenting freedom of disease, in particular, freedom from BSE in birth cohorts. The approach is based upon a geometric waiting time distribution for the occurrence of positive surveillance results and formalizes the relationship between design prevalence, cumulative sample size and statistical power. The simple geometric waiting time model is further modified to account for the diagnostic sensitivity and specificity associated with the detection of disease. This is exemplified for BSE using two different models for the diagnostic sensitivity. The model is furthermore modified in such a way that a set of different values for the design prevalence in the surveillance streams can be accommodated (prevalence heterogeneity) and a general expression for the power function is developed. For illustration, numerical results for BSE suggest that currently (data status September 2004) a birth cohort of Danish cattle born after March 1999 is free from BSE with probability (power) of 0.8746 or 0.8509, depending on the choice of a model for the diagnostic sensitivity.

Evaluation of the cumulative evidence for freedom from BSE in birth cohorts

Substantial resources are used for surveillance of bovine spongiform encephalopathy (BSE) despite an extremely low detection rate, especially in healthy slaughtered cattle. We have developed a method based on the geometric waiting time distribution to establish and update the statistical evidence for BSE-freedom for defined birth cohorts using continued surveillance data. The results suggest that currently (data included till September 2004) a birth cohort of Danish cattle born after March 1999 is free from BSE with probability (power) of 0.8746 or 0.8509, depending on the choice of a model for the diagnostic sensitivity. These results apply to an assumed design prevalence of 1 in 10,000 and account for prevalence heterogeneity. The age-dependent, diagnostic sensitivity for the detection of BSE has been identified as major determinant of the power. The incorporation of heterogeneity was deemed adequate on scientific grounds and led to improved power values. We propose our model as a decision tool for possible future modification of the BSE surveillance and discuss public health and international trade implications.

The "freedom to frame questions... worth asking" or three stories and three (other) fragments of research

In our state of centralised control of the curriculum and high-stakes testing an examination subject's assessment objectives have become high profile. Some of the anomalous effects of this profile are shown in the teaching, question-setting, and marking of English literature. Glimpses of earlier times are revealed, all three secondary school key stages are considered, examination performances are discussed, and the views of beginning teachers about teaching to the test are sought.

'Between slavery and freedom': the expulsion and enslavement of free women of colour in the US South before the Civil War

For free black women in the pre-Civil War American South, the status offered by ‘freedom’ was uncertain and malleable. The conceptualization of bondage and freedom as two diametrically opposed conditions therefore fails to make sense of the complexities of life for these women. Instead, notions of enslavement and freedom are better framed as a spectrum. This article develops this idea by exploring two of the ways in which some black women negotiated their status before the law—namely though petitioning for residency or for enslavement. While these petitions are atypical numerically, and often offer tantalizingly scant evidence, when used in conjunction with evidence from the US census, it becomes clear that these women were highly pragmatic. Prioritizing their spousal and broader familial affective relationships above their legal status, they rejected the often theoretical distinction between slavery and liberation. As such, the petitions can be used to reach broader conclusions about the attitudes of women who have left little written testimony.