Statistical inference : an integrated bayesian / likelihood approach /
Murray Aitkin
- Boca Raton : CRC Press, 2010
- xvii, 236p. 23cm.
- Monographs on statistics and applied probability ; 116 .
After an overview of the competing theories of statistical inference, the book introduces the Bayes/likelihood approach used throughout. It presents Bayesian versions of one- and two-sample t-tests, along with the corresponding normal variance tests. The author then thoroughly discusses the use of the multinomial model and no informative Dirichlet priors in model-free or nonparametric Bayesian survey analysis, before covering normal regression and analysis of variance. In the chapter on binomial and multinomial data, he gives alternatives, based on Bayesian analyses, to current frequents nonparametric methods. The text concludes with new goodness-of-fit methods for assessing parametric models and a discussion of two-level variance component models and finite mixtures.