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

correlation, i will like to submit my project for you to do on chi-square,...

i will like to submit my project for you to do on chi-square, ANOVA, and correlation and simple regression. how can we do this?

Pre analysis data screening, need answers to questions in book advanced and...

need answers to questions in book advanced and multivariate statistical methods

Explain kurtosis, Kurtosis: The extent to which the peak of the unimodal p...

Kurtosis: The extent to which the peak of the unimodal probability distribution or the frequency distribution departs from its shape of the normal distribution, by either being mo

Regression, calculate the mean yearly value using the average unemployment ...

calculate the mean yearly value using the average unemployment rate by month

Cohort component method, Cohort component method : A broadly used method or...

Cohort component method : A broadly used method or technique of forecasting the age- and sex-speci?c population to the upcoming years, in which the initial population is strati?ed

Generalized estimating equations (gee), Technically the multivariate analog...

Technically the multivariate analogue of the quasi-likelihood with the same feature that it leads to consistent inferences about the mean responses without needing specific supposi

Explain isobologram., Isobologram  is a diagram used to characterize the in...

Isobologram  is a diagram used to characterize the interactions among jointly administered drugs or the chemicals. The contour of the constant response (that is the isobole), which

Public network, This is given by common network e.g. Phone Company. The pub...

This is given by common network e.g. Phone Company. The public networks are those networks, which are given by common carriers. It can be a telephone company or an other organizati

Explain household interview surveys, Household interview surveys : The surv...

Household interview surveys : The surveys in which the primary sampling units are typically geographic regions such as nations or cities. For each such unit sampled, there are addi

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