Multilevel models, Advanced Statistics

 

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.

 

Posted Date: 7/30/2012 5:43:49 AM | Location : United States







Related Discussions:- Multilevel models, Assignment Help, Ask Question on Multilevel models, Get Answer, Expert's Help, Multilevel models Discussions

Write discussion on Multilevel models
Your posts are moderated
Related Questions
Quality-adjusted survival analysis is a method for evaluating the effects of treatment on survival which allows the consideration of quality of life as well as the quantity of lif

Described by the leading proponent as 'the conscientious, explicit, and judicious uses of present best evidence in making the decisions about the care of individual patients, and

Conditional logistic regression : The form of logistic regression designed to work with the clustered data, such as data including matched pairs of the subjects, in which subject-s

1) Let N1(t) and N2(t) be independent Poisson processes with rates, ?1 and ?2, respectively. Let N (t) = N1(t) + N2(t). a) What is the distribution of the time till the next epoch

Hurdle Model:  The model for count data which postulates two processes, one generating the zeros in the data and one generating positive values. The binomial model decides the bina

Multidimensional scaling (MDS)  is a generic term for a class of techniques or methods which attempt to construct a low-dimensional geometrical representation of the proximity matr

Given: There are 4 jobs and 4 persons. The cost incurred for each person and each job is as follows: Persons Job 1 Job 2 Job 3 Job 4 A 10 9 21 11 B 15 12 25 17 C 12 10 20 12 D 17

A term commonly encountered in the application of the agglomerative hierarchical clustering techniques, where it refers to the 'tree-like' diagram illustrating the series of steps

Banach's match-box problem : The person carries two boxes of matches, one in his left and one in his right pocket. At first they comprise N number of matches each. When the person

Paul Jordan has just been hired as a management analyst at Digital Cell Phone Inc. Digital Cell manufactures a broad line of phones for the consumer market. Paul's boss, John Smith