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

Multi co linearity, Multi co linearity is the term used in the regression ...

Multi co linearity is the term used in the regression analysis to indicate situations where the explanatory variables are related by a linear function, making the inference of the

Quasi-experiment, Quasi-experiment is a term taken in use for studies whic...

Quasi-experiment is a term taken in use for studies which resemble experiments but are weak on some of the characteristics, particularly that allocation of the subjects to groups

To create a relative frequency histogram, The total amount of protein produ...

The total amount of protein produced by a dairy cow can be estimated from periodic testing of her milk.  The following are the total annual protein production values (lb) for 28 tw

Fan-spread model, This term sometimes is applied to the model for explainin...

This term sometimes is applied to the model for explaining the differences found between naturally happening groups which are greater than those observed on some previous occasion;

Intention-to-treat analysis, Intention-to-treat analysis is the process in...

Intention-to-treat analysis is the process in which all the patients randomly allocated to a treatment in the clinical trial are analyzed together as representing that particular

Machine learning, Machine learning  is a term which literally means the ab...

Machine learning  is a term which literally means the ability of a machine to recognize patterns which have occurred repetitively and to improve its performance based on the past

Descriptive statistics, how to describe association between quantitative an...

how to describe association between quantitative and categorical variables

Calculate the standard deviation, Q. A toothpaste company want to know if i...

Q. A toothpaste company want to know if its new product increases the length of time in-between dentist visit to its user. The company sets a target for 180 days to determine if it

Describe non linear model, Non linear model : A model which is non-linear i...

Non linear model : A model which is non-linear in the parameters, for instance are   Some such type of models can be converted into the linear models by linearization (the s

Multivariate data, Multivariate data is the data for which each observatio...

Multivariate data is the data for which each observation consists of the values for more than one random variable. For instance, measurements on the blood pressure, temperature an

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