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Clustered data: The term applied to both the data in which the sampling units are grouped into the clusters sharing some common feature, for instance families or geographical regions animal litters, and longitudinal data in which a cluster is de?ned by the set of repeated measures on the particular unit. A distinguishing feature of such type of data is that they tend to exhibit intracluster correlation, and their analysis requires address this correlation to reach valid conclusions or result. Methods of analysis which ignore the correlations tend to be inadequate enough. In particular they are likely to provide the estimates of the standard errors which are too low. When the observations contain the normal distribution, random effects models and the mixed effects models might be brought in use. When the observations are binary, giving rise to the clustered binary data, suitable methods or techniques are mixed- effects logistic regression and the generalized estimating equation approach.
The procedure in which the prior distribution is required in the application of Bayesian inference, it is determined from empirical evidence, namely same data for which the posteri
Weighted least squares is the method of estimation in which the estimates arise from minimizing the weighted sum of squares of the differences between response variable and its pr
The approach to statistics based on a frequency view of probability in which it is supposed that it is possible to consider an in?nite sequence of the independent repetitions of th
Completeness : A term applied to a statistic t when there is only one function of that the statistic which can have the given expected value. If, for instance, the one function of
Mauchly test is a test which a variance-covariance matrix of pair wise differences of responses in the set of longitudinal data is the scalar multiple of identity matrix, a proper
A manufacturing company has two factories F 1 and F 2 producing a certain commodity that is required at three retail outlets M 1 , M 2 and M 3 . Once produced, the commodity is
literature review of latin square design.
Partial least squares is an alternative to the multiple regressions which, in spite of using the original q explanatory variables directly, constructs the new set of k regressor v
Change point problems : Problems with chronologically ordered data collected over the period during which there is known to have been a change in the underlying data generation cou
Discuss the use of dummy variables in both multiple linear regression and non-linear regression. Give examples if possible
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