Provides central regions or global envelopes or confidence bands in 2D
central_region2d(image_sets, ...)An image set, i.e. a set of 2d functions (or a list of them).
See create_image_set.
Additional parameters to be passed to central_region.
An object of class "global_envelope2d" (and "list"), which can be printed and plotted directly.
Essentially a data frame containing columns
r = a list of vectors of values of x- and y-coordinates at which the test was made
obs = the data function (matrix), if there is only one data function. Otherwise not existing.
lo = the lower envelope (matrix) based on the simulated functions
hi = the upper envelope (matrix) based on the simulated functions
central = the central curve, mean or median (default) of the test functions T_i(r), i=2, ..., s+1. Used for visualization only.
Additionally, the return value has attributes method, type, alternative,
k_alpha, alpha, k, and call, see more detailed description in
central_region.
Mrkvi<U+010D>ka, T., Soubeyrand, S., Myllym<U+00E4>ki, M., Grabarnik, P. and Hahn, U. (2016). Monte Carlo testing in spatial statistics, with applications to spatial residuals. Spatial Statistics 18, Part A: 40--53. doi: 10.1016/j.spasta.2016.04.005
Myllym<U+00E4>ki, M., Mrkvi<U+010D>ka, T., Grabarnik, P., Seijo, H. and Hahn, U. (2017). Global envelope tests for spatial point patterns. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 79: 381<U+2013>404. doi: 10.1111/rssb.12172
Mrkvi<U+010D>ka, T., Hahn, U. and Myllym<U+00E4>ki, M. (2018). A one-way ANOVA test for functional data with graphical interpretation. arXiv:1612.03608 [stat.ME]