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Elementary Bayesian Statistics is a thorough and easily accessible
introduction to the theory and practical application of Bayesian
statistics. It presents methods to assist in the collection,
summary and presentation of numerical data.Bayesian statistics are
becoming an increasingly important and more frequently used method
for analysing statistical data. The author defines concepts and
methods with a variety of examples and uses a stage-by-stage
approach to coach the reader through the applied examples. Also
included are a wide range of problems to challenge the reader and
the book makes extensive use of Minitab to apply computational
techniques to statistical problems. Issues covered include
probability, Bayes's Theorem and categorical states, frequency, the
Bernoulli process and Poisson process, estimation, testing
hypotheses and the normal process with known parameters and
uncertain parameters. Elementary Bayesian Statistics will be an
essential resource for students as a supplementary text in
traditional statistics courses. It will also be welcomed by
academics, researchers and econometricians wishing to know more
about Bayesian statistics.
The first course in statistics, no matter how "good" or "long" it
is, typically covers inferential procedures which are valid only if
a number of preconditions are satisfied by the data. For example,
students are taught about regression procedures valid only if the
true residuals are independent, homoscedastic, and normally
distributed. But they do not learn how to check for indepen dence,
homoscedasticity, or normality, and certainly do not learn how to
adjust their data and/or model so that these assumptions are met.
To help this student out I designed a second course, containing a
collec tion of statistical diagnostics and prescriptions necessary
for the applied statistician so that he can deal with the realities
of inference from data, and not merely with the kind of classroom
problems where all the data satisfy the assumptions associated with
the technique to be taught. At the same time I realized that I was
writing a book for a wider audience, namely all those away from the
classroom whose formal statistics education ended with such a
course and who apply statistical techniques to data."
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