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Leverage in Bayesian Regression

✍ Scribed by Bert M. Steece

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
425 KB
Volume
31
Category
Article
ISSN
0323-3847

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✦ Synopsis

Using the concept of an extended data set (ZIELLNEB, 1986). we derived the projection or hat matrix for Bayeaien regreasion analysis. The hat matrix shows how much influence or leverage the observed responses and the prior means bave on each of the posterior fitted values. The amount of leverage essociated with the observed data is shown to be a monotonically decreasing function of the ratio of the process variance to the prior variance. Additional properties of the Bayesian hat matrix are discussed. Two illustrative examples are presented.

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