The efficient score test for overdispersion in the Poisson regression model is derived explicitly, and it is shown that by virtue of a particular matrix identity, the test has a surprisingly simple form provided the Poisson regression contains an intercept. It is also pointed out that the test is in
On the sensitivity of the overdispersion test in a Weibull model
β Scribed by Chris D Orme
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 87 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
This paper examines the O(n -1=2 ) sampling behaviour of the overdispersion test statistic in a Weibull hazard regression model, under the assumption of locally omitted covariates and in the absence of censoring. Although the O(1) sampling distribution is insensitive to this misspeciΓΏcation, by reΓΏning the approximation to O(n -1=2 ) it is shown how the non-centrality parameter of the O(1) asymptotic distribution of the precise score test (i.e., the variance of the omitted term) directly in uences the power of the overdispersion test.
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An inferential procedure is presented which provides confidence intervals for a future reliability parameter when reliability growth testing is only partially completed. Hypoth- esis tests based on this method are uniformly most powerful unbiased. These results are applicable if (1) the system failu