Multilevel models, Advanced Statistics

Assignment Help:

 

Multilevel models are the regression models for the multilevel or clustered data where units i are nested in the clusters j, for example a cross-sectional study where students are nested in schools or the longitudinal studies where measurement occasions are nested in subjects. In multilevel data responses are expected to be dependent or correlated even after the conditioning on observed covariates. Such dependence should be taken into account to ensure the valid statistical inference.

Multilevel regression models comprise random effects with the normal distributions to induce dependence among units belonging in the cluster. The simplest multilevel model is the linear random intercept model
1202_Multilevel Models.png 
The multilevel generalized linear models or the generalized linear mixed models are multilevel models where random effects are introduced in linear predictor of generalized linear models. Additionally to linear models for the continuous responses, such type of models include, for instance, the logistic random effects models for dichotomous, ordinal and nominal responses and the log-linear random effects models for counts.

Multilevel models can also be specified for the higher-level data where units are nested in clusters which are nested in the superclusters. An instance of such a design would be measurement occasions nested in subjects which are nested in communities. Other terms sometimes used for the multilevel models include mixed models, random effects models hierarchical models, and random coeffiencnt models.

 


Related Discussions:- Multilevel models

Integrated Economic Statistics, Advantages and disadvantages of Integrated ...

Advantages and disadvantages of Integrated Economic Statistics

Explain Geographical information system (gis), Geographical information sys...

Geographical information system (gis): The software and hardware configurations through which the digital georeferences are processed and displayed. Used to recognize the geograph

Alternative hypotheses and spss calculation, 1) Question on the first day q...

1) Question on the first day questionnaire asked students to rate their response to the question Are you deeply moved by the arts or music? Assume the population that is sampled

Expected-utility maximizer, There are two periods. You observe that Jack co...

There are two periods. You observe that Jack consumes 100 apples in period t = 0, and 120 apples in period t = 1. That is, (c 0 ; c 1 ) = (100; 120) Suppose Jack has the util

Explain Generalized poisson distribution, Generalized poisson distribution:...

Generalized poisson distribution: The probability distribution can be defined as follows:   The distribution corresponds to the situation in which the values of the rand

Centile reference charts, Centile reference charts : Charts which are used ...

Centile reference charts : Charts which are used inmedicine to observe the clinical measurements on individual patients in the context of the population values. If the population i

Describe multiple imputation, Multiple imputation : The Monte Carlo techniq...

Multiple imputation : The Monte Carlo technique in which missing values in the data set are replaced by m> 1 simulated versions, where m is usually small (say 3-10). Each of simula

Dot plot, The more effective display than a number of other methods or tech...

The more effective display than a number of other methods or techniques, for instance, pie charts and bar charts, for displaying the quantitative data which are labeled. An instanc

Bubble plot, Bubble plot : A method or technique for displaying the observa...

Bubble plot : A method or technique for displaying the observations which involve three variable values. Two of the variables are used to make a scatter diagram and values of the t

Explanatory variables, The variables appearing on the right-hand side of eq...

The variables appearing on the right-hand side of equations defining, for instance, multiple regressions or the logistic regression, and which seek to predict or 'explain' response

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