Poisson regression, Advanced Statistics

Assignment Help:

Poisson regression

In case of Poisson regression we use ηi = g(µi) = log(µi) and a variance V ar(Yi) = φµi. The case φ = 1 corresponds to standard Poisson model. Poisson regression is used when the response to model is counts which typically follow a Poisson distribution. Examples include colony counts for bacteria or viruses, accidents, equipment failures, insurance claims, incidence of disease. Interest often lies in estimating a rate of incidence and determining its relationship to a set of explanatory variables. Again, an IRLS procedure is used to ?nd the MLE estimators of the β coeffcients. When we can not assume φ = 1, (this is the case of over- or under- dispersion discussed in McCullagh and Nelder (1989)), the iterative procedure is changed to so called "quasi-likelihood estimation". Finally in this section, we shall also mention shortly the extension of GLM to GAM.


Related Discussions:- Poisson regression

Explain missing values, Missing values : The observations missing from the ...

Missing values : The observations missing from the set of data for some of the reason. In longitudinal studies, for instance, they might occur because subjects drop out of the stud

Explain human height growth curves, Human height growth curves : The growth...

Human height growth curves : The growth of human height is, in common, remarkably regular, apart from the pubertal growth spurt. The satisfactory longitudinal development curve is

Implementation of huffman coding, Input to the compress is a text le with a...

Input to the compress is a text le with arbitrary size, but for this assignment we will assume that the data structure of the file fits in the main memory of a computer. Output of

Gambling, It is the art of attempting to exchange something quite small and...

It is the art of attempting to exchange something quite small and certain, for something which are large and uncertain. Gambling is big business; in the US, for instance, it is at

Statistics, cholscores Treatment income ($000) Patient ID low Income? ...

cholscores Treatment income ($000) Patient ID low Income? 0.6 Old 21.3 2 Yes 0.17 Old 27.2 13 Yes 0.69 New 27.1 16 Yes 1.09 Old 94.8

Factorization theorem, The theorem relating structure of the likelihood to ...

The theorem relating structure of the likelihood to the concept of the sufficient statistic. Officially the necessary and sufficient condition which a statistic S be sufficient for

Common cause failures (ccf), Common cause failures (CCF): Simultaneous fai...

Common cause failures (CCF): Simultaneous failures of the number of components due to a same reason. A reason can be external to the components, or it can be the single failure wh

Generaliz ability theory, The theory of measurement which recognizes that i...

The theory of measurement which recognizes that in any measurement situation there are multiple (actually infinite) sources of variation (known as facets in the theory), and that a

Central tendency, explain the graphical method of measure of central tenden...

explain the graphical method of measure of central tendency

Define misspecification, Misspecification  is the term is applied to descri...

Misspecification  is the term is applied to describe the assumed statistical models which are incorrect for one of the several of reasons, for instance, using the wrong probability

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd