Since 1984, when I was matriculated as a medical student, I have taken an interest in all the three major areas, but my main occupation in the past 12 years has been with the quantitative epistemological discipline of statistics, which deals with the collection, analysis, interpretation, and presentation of numerical data. The formal foundation for theoretical statistics is mathematical statistics, in which I took a master's degree (MSc) in 1995.Concurrently, in the past nine years, and especially since 1995, when I was first employed at the Department of Biostatistics, I have been occupied with biostatistics, which focuses on the development and use of statistical methods to solve problems and to answer questions that arise in human biology and medicine. My experience has been within various scientific disciplines including different medical specialties, and in every case I have found that knowledge of the subject matter of the particular area is an important prerequisite in order to be able to communicate with the specialist.A remarkable feature of many of the scientific problems I have encountered as a biostatistician is their similarity! It is striking, and fascinating, how different scientific areas have encountered the same epistemological challenges and how they independently have invented almost the same (good or bad) strategies for dealing with the analysis and interpretation of data. Another striking feature is the difference in language and traditions, which hinders the different areas in communicating their epistemological problems and discoveries to each other. With this in mind I consider it the principal goal of biostatistics to 1) collect epistemological and cognitive problems and solutions from different subject matter areas of research; 2) distill the problems and solutions through the language of mathematical statistics; 3) present, analyze and discuss the problems and solutions in a general setting within the mathematical-statistical scientific community; and 4) translate possible solutions to the problems to the language and traditions of the particular subject matter disciplines.A major challenge as a biostatistician is the translation of solutions and suggestions from very general terms to terms which are recognized by the subject matter specialist. I hope that this dissertation will be judged on the scientific usefulness of its applications of general statistical methodology, rather than on its exact compliance with the language and traditions of the subject matter disciplines, which it involves.