Visualizing Dependence of Bootstrap Confidence Intervals for Methods Yielding Spatial Configurations

Several techniques (like MDS and PCA) exist for summarizing data by means of a graphical configuration of points in a low-dimensional space. Usually, such analyses are applied to data for a sample drawn from a population. To assess how accurate the sample based plot is as a representation for the population, confidence intervals or ellipsoids can be constructed around each plotted point, using the bootstrap procedure. However, such a procedure ignores the dependence of variation of different points across bootstrap samples. To display how the variations of different points depend on each other, we propose to visualize bootstrap configurations in a bootstrap movie.