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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.
Suppose we estimate the following model: Passengersi = 1 + 2Populationi + ui a) Generate a scatter plot with passengers on the vertical axis and population on the horizonta
Suppose that $4 million is available for investment in three projects. The probability distribution of the net present value earned from each project depends on how much is invest
Ignorability : The missing data mechanism is said to be ignorable for likelihood inference if (1) the joint likelihood for the responses of the interest and missing data indicators
Residual plots are the plots of some type of residual which might be helpful in assessing the assumption made by the fitted model. In regression analysis there are various method
cholscores Treatment income ($000) Patient ID low Income? 0.6 Old 21.3 2 Yes 0.17 Old 27.2 13 Yes 0.69 New 27.1 16 Yes 1.09 Old 94.8
How to estimate MLE for statistical anslysis using Markov Model?
Formal graphical representation of the "causal diagrams" or the "path diagrams" where the relationships are directed but acyclic (that is no feedback relations allowed). Plays an
Negative binomial distribution is the probability distribution of number of failures, X, before the kth success in the sequence of Bernoulli trials where the probability of succes
The distribution over distributions in the sense that each draw from the process is itself the distribution. The name Dirichlet process or procedure is due to the fact that the ?ni
Evaluate the following statistical arguments. Begin by identifying the sample, population, and the property which is being investigated. Do these arguments sound acceptable? Would
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