2. Standard Normal Theory Inference Problems
Published Online: 25 JAN 2011
DOI: 10.1002/9781118033197.ch2
Copyright © 1973 George E.P. Box
Book Title
Bayesian Inference in Statistical Analysis
Additional Information
How to Cite
Box, G. E.P. and Tiao, G. C. (1992) Standard Normal Theory Inference Problems, in Bayesian Inference in Statistical Analysis, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118033197.ch2
Publication History
- Published Online: 25 JAN 2011
- Published Print: 6 APR 1992
ISBN Information
Print ISBN: 9780471574286
Online ISBN: 9781118033197
- Summary
- Chapter
Keywords:
- normal distribution;
- distributional assumptions;
- Bayesian intervals;
- linear model;
- asymptotic distribution
Summary
This chapter contains sections titled:
Introduction
Inferences Concerning a Single Mean from Observations Assuming Common Known Variance
Inferences Concerning the Spread of a Normal Distribution from Observations Having Common Known Mean
Inferences When Both Mean and Standard Deviation are Unknown
Inferences Concerning the Difference Between Two Means
Inferences Concerning a Variance Ratio
Analysis of the Linear Model
A General Discussion of Highest Posterior Density Regions
H.P.D. Regions for the Linear Model: A Bayesian Justification of Analysis of Variance
Comparison of Parameters
Comparison of the Means of k Normal Populations
Comparison of the Spread of k Distributions
Summarized Calculations of Various Posterior Distributions