Comparison of sample size formulae for 2x2 cross-over designs applied to bioequivalence studies

We consider the comparison of two formulations in terms of average bioequivalence using the 2 × 2 cross-over design. In a bioequivalence study, the primary outcome is a pharmacokinetic measure, such as the area under the plasma concentration by time curve, which is usually assumed to have a lognormal distribution. The criterion typically used for claiming bioequivalence is that the 90% confidence interval for the ratio of the means should lie within the interval (0.80, 1.25), or equivalently the 90% confidence interval for the differences in the means on the natural log scale should be within the interval (-0.2231, 0.2231). We compare the gold standard method for calculation of the sample size based on the non-central t distribution with those based on the central t and normal distributions. In practice, the differences between the various approaches are likely to be small. Further approximations to the power function are sometimes used to simplify the calculations. These approximations should be used with caution, because the sample size required for a desirable level of power might be under- or overestimated compared to the gold standard method. However, in some situations the approximate methods produce very similar sample sizes to the gold standard method. Copyright © 2005 John Wiley & Sons, Ltd.

Probiotics and cancer: from in vitro to human studies

Studies in cell cultures and animal models provide evidence that probiotics can beneficially influence various stages in development of colon cancer including tumor initiation, promotion and metastasis. For example, oral administration of Lactobacillus and Bifidobacterium strains can prevent genotoxic damage to the colonic epithelium (considered to be an early stage of the carcinogenic process). Administration to rats of probiotics reduced the incidence of carcinogen-induced pre-cancerous lesions (aberrant crypt foci) in the colon. Furthermore a combination of Bifidobacterium longum and inulin (a prebiotic) was more effective than either treatment alone. In this latter study, the dietary treatments were given after exposure to the carcinogen, which suggests that the protective effects were being exerted at the promotional phase of carcinogenesis. L. acidophilus feeding has been shown to decrease the incidence of colon tumors in rats challenged with a carcinogen and B. longum reduced the incidence of carcinogeninduced colon, liver and mammary tumors. There is limited evidence from epidemiological studies for protective effects of products containing probiotics in humans, but a number of recent dietary intervention studies in healthy subjects and in polyp and cancer patients have yielded promising results on the basis of biomarkers of cancer risk and grade of colorectal tumors.

Application of the BRAFO-tiered approach for benefit-risk assessment to case studies on natural foods

There is evidence that consumption of fish, especially oily fish, has substantial beneficial effects on health. In particular an inverse relationship of oily fish intake to coronary heart disease incidence has been established. These beneficial effects are ascribed to fish oil components including long chain ω-3 polyunsaturated fatty acids. On the other hand it should be noted that oily fish also contains hazardous substances such as dioxins, PCBs and methylmercury. Soy consumption has been associated with potential beneficial and adverse effects. The claimed benefits include reduced risk of cardiovascular disease; osteoporosis, breast and prostate cancer whereas potential adverse effects include impaired thyroid function, disruption of sex hormone levels, changes in reproductive function and increased breast cancer risk The two cases of natural foods highlight the need to consider both risks and benefits in order to establish the net health impact associated to the consumption of specific food products. Within the Sixth Framework programme of the European Commission, the BRAFO project was funded to develop a framework that allows for the quantitative comparison of human health risks and benefits in relation to foods and food compounds. This paper describes the application of the developed framework to two natural foods, farmed salmon and soy protein. We conclude that the BRAFO methodology is highly applicable to natural foods. It will help the benefit-risk managers in selecting the appropriate dietary recommendations for the population.

An introduction to television studies. 3rd edition.

This is a comprehensive textbook for students of Television Studies, now updated for its third edition. The book provides students with a framework for understanding the key concepts and main approaches to Television Studies, including audience research, television history and broadcasting policy, and the analytical study of individual programmes. The book includes a glossary of key terms used in the television industry and in the academic study of television, there are suggestions for further reading at the end of each chapter, and chapters include suggested activities for use in class or as assignments. The case studies in the book include analysis of advertisements, approaches to news reporting, television scheduling, and challenges to television in new contexts of viewing on computers and mobile devices. The topics of individual chapters are: studying television, television histories, television cultures, television texts and narratives, television genres and formats, television production, television quality and value, television realities and representation, television censorship and regulation, television audiences, and the likely future for television.