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Titlebook: Complex Surveys; Analysis of Categori Parimal Mukhopadhyay Book 2016 Springer Science+Business Media Singapore 2016 Survey Sampling.Superpo

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The Design Effects and Misspecification Effects,sampling with replacement (.) or equivalently the observations are independently and identically distributed (IID). As such the conventional formulae for standard statistical packages which implement these procedures are also based on IID assumptions. In practice, in large-scale surveys samples are
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Some Classical Models in Categorical Data Analysis,cal models and testing of parameters using goodness-of-fit tests, Wald’s maximum likelihood statistic, Rao’s statistic, likelihood ratio statistic, we return to the main distributions of categorical variables—multinomial distribution, Poisson distribution, and multinomial-Poisson distribution and ex
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Analysis of Categorical Data Under a Full Model,en use stratified multistage cluster design. Data obtained through such complex survey designs are not generally independently distributed and as a result multinomial models do not hold in such cases. Thus, the classical Pearson statistic and the related usually used test statistic would not be vali
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Analysis in the Presence of Classification Errors,present and in these situations usual tests of goodness-of-fit, independence, and homogeneity become untenable. This chapter considers modifications of the usual test procedures under this context. Again, units in a cluster are likely to be related. Thus in a cluster sampling design where all the sa
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Approximate MLE from Survey Data,in this chapter, consider some procedures and applications which are useful in obtaining approximate maximum likelihood estimates from survey data. After addressing the notion of ignorable sampling designs Sect. . considers exact MLE from survey data. The concept of weighted distributions due to Rao
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Polish Leaders and the Hungarian Revolutionf the usual test procedures under this context. Again, units in a cluster are likely to be related. Thus in a cluster sampling design where all the sampled clusters are completely enumerated, Pearson’s usual statistic of goodness-of-fit seems unsuitable. This chapter considers modification of . statistic under these circumstances.
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