Titlebook: Applied Multivariate Statistics with R; Daniel Zelterman Book 2022Latest edition Springer Nature Switzerland AG 2022 R software.clustering

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Bivariate Normal Distribution, helps us make the important leap from the univariate normal to the more general multivariate normal distribution. To accomplish this, we need to make the transition from the scalar univariate notation of the previous chapter to the matrix notation of the following chapter.

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Multivariable Linear Regression, is probably one of the most powerful and useful tools available to the applied statistician. This method uses one or more variables to explain the values of another. Statistics alone cannot prove a cause and effect relationship, but we can do show how changes in one set of measurements are associated with changes of the average values in another.

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Basic Models for Longitudinal Data,Longitudinal studies are a common form of studies including clinical trials where the treatment effect is visible only after several measurements are made on the same individual over a period of time. This chapter begins with an example of a randomized trial of an experimental medication.

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Time Series Models, for data described so far have been concerned with independent observations on multivariate values. The data examined in this chapter are for settings where successive observations are also correlated. The subject matter is not usually associated with multivariate methods but our choice of applications makes these methods more relevant.

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