Andrews ‘Plots
A graphical display of multivariate data in which an observation, x0 = [x1, x2, . . . , xq] is represented can be represented in the form of function
A set of the multivariate observations is then displayed as the collection of these kind of plots and it can be shown that those functions which remain close together for all values of t correspond to the observations which are close to one another in the terms of their Euclidean distance. This property states that such plots can often be used to detect groups of similar observations and identify outliers in multivariate data both. The example given in the Fig drawn below consists of plots for the sample of 30 observations each of which having five variable values.
The plot signifies the presence of three groups in the data. These type of plots can cope only with a reasonable number of observations before becoming very complicated to unravel.
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)