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Fay and Brittain present statistical hypothesis testing and
compatible confidence intervals, focusing on application and proper
interpretation. The emphasis is on equipping applied statisticians
with enough tools - and advice on choosing among them - to find
reasonable methods for almost any problem and enough theory to
tackle new problems by modifying existing methods. After covering
the basic mathematical theory and scientific principles, tests and
confidence intervals are developed for specific types of data.
Essential methods for applications are covered, such as general
procedures for creating tests (e.g., likelihood ratio, bootstrap,
permutation, testing from models), adjustments for multiple
testing, clustering, stratification, causality, censoring, missing
data, group sequential tests, and non-inferiority tests. New
methods developed by the authors are included throughout, such as
melded confidence intervals for comparing two samples and
confidence intervals associated with Wilcoxon-Mann-Whitney tests
and Kaplan-Meier estimates. Examples, exercises, and the R package
asht support practical use.
In the early part of the eighteenth century, Francesco Bianchini of
Verona turned his primitive telescope - a refractor of only a few
centimetres aperture but with an enormous focal length of around 20
metres - on the planet Venus. He recorded some of the first
telescopic observations of Venus, outstanding in terms of care and
accuracy. Bianchini determined the parallax of the planet,
estimated the period of rotation, and carefully mapped surface
features (although we now know that only Venus' atmospheric clouds
can be seen in visible light).
Peter Fay and Sally Beaumont have translated this historic document
into English, keeping as much as possible of the flavour and
appearance of the original 1728 publication. As part of his
research, Peter Fay constructed and tested a telescope similar to
the one Bianchini had used. The results are given as an appendix to
the text. Astronomers and historians alike will find this book
fascinating. It is published by Springer-Verlag London to celebrate
the launch of the Astronomy publishing programme in the UK.
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