A text that stresses the general concepts of the theory of statistics Theoretical Statistics provides a systematic statement of the theory of statistics, emphasizing general concepts rather than mathematical rigor. Chapters 1 through 3 provide an overview of statistics and discuss some of the basic philosophical ideas and problems behind statistical procedures. Chapters 4 and 5 cover hypothesis testing with simple and null hypotheses, respectively. Subsequent chapters discuss non-parametrics, interval estimation, point estimation, asymptotics, Bayesian procedure, and deviation theory. Student...

The analysis of survival data is a traditional statistical theme. However, in the last 10-15 years there has been an explosion of interest resulting in the development of many new theoretical ideas and useful methods, especially in the study of the relationship between survival times and explanatory variables. This monograph brings together the older and newer ideas to present a comprehensive up-to-date account of the field.

The first edition of this book (1970) set out a systematic basis for the analysis of binary data and in particular for the study of how the probability of success depends on explanatory variables. The first edition has been widely used and the general level and style have been preserved in the second edition, which contains a substantial amount of new material. This amplifies matters dealt with only cryptically in the first edition and includes many more recent developments. In addition the whole material has been reorganized, in particular to put more emphasis on maximum likelihood methods.

Offering a comprehensive nonmathematical treatment regarding the design and analysis of experiments, this book focuses on basic concepts rather than calculation of technical details. Much of the discussion is in terms of examples drawn from numerous fields of applications.

This monograph is designed to help researchers understand the theory of the design of experiments, so they can easily adapt general principles to their specialty. It seeks to bring the theory to non-statisticians at a reasonable mathematical level so that they can apply and adapt the designs. The authors use self-contained chapters, illustrated applications, and examples to teach the ideas and concepts needed for sound experiment design, and consequently, analysis. The volume includes extensive bibliographic notes and a detailed account of S-Plus.

Identifying the sources and measuring the impact of haphazard variations are important in any number of research applications, from clinical trials and genetics to industrial design and psychometric testing. Only in very simple situations can such variations be represented effectively by independent, identically distributed random variables or by random sampling from a hypothetical infinite population.Components of Variance illuminates the complexities of the subject, setting forth its principles with focus on both the development of models for detailed analyses and the statistical techniques...

In this definitive book, D. R. Cox gives a comprehensive and balanced appraisal of statistical inference. He develops the key concepts, describing and comparing the main ideas and controversies over foundational issues that have been keenly argued for more than two-hundred years. Continuing a sixty-year career of major contributions to statistical thought, no one is better placed to give this much-needed account of the field. An appendix gives a more personal assessment of the merits of different ideas. The content ranges from the traditional to the contemporary. While specific applications...

Applied statistics is more than data analysis, but it is easy to lose sight of the big picture. David Cox and Christl Donnelly distil decades of scientific experience into usable principles for the successful application of statistics, showing how good statistical strategy shapes every stage of an investigation. As you advance from research or policy question, to study design, through modelling and interpretation, and finally to meaningful conclusions, this book will be a valuable guide. Over a hundred illustrations from a wide variety of real applications make the conceptual points concrete,...

Applied statistics is more than data analysis, but it is easy to lose sight of the big picture. David Cox and Christl Donnelly distil decades of scientific experience into usable principles for the successful application of statistics, showing how good statistical strategy shapes every stage of an investigation. As you advance from research or policy question, to study design, through modelling and interpretation, and finally to meaningful conclusions, this book will be a valuable guide. Over a hundred illustrations from a wide variety of real applications make the conceptual points concrete,...