Package depth.plot. December 20, 2015
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1 Package depth.plot December 20, 2015 Type Package Title Multivariate Analogy of Quantiles Version 0.1 Date Maintainer Could be used to obtain spatial depths, spatial ranks and outliers of multivariate random variables. Could also be used to visualize DD-plots (a multivariate generalization of QQ-plots). Imports mvtnorm, stats, graphics License GPL-2 RoygenNote NeedsCompilation no Author Omker Mahalanobish [aut], Somedip Karmakar [cre, aut] Repository CRAN Date/Publication :33:19 R topics documented: dd.plot multi.quant spatial.depth spatial.outlier spatial.rank Inde 7 1
2 2 dd.plot dd.plot Depth-Depth Plots dd.plot is a multivariate genralization of a normal QQ-plot. It produces a DD-plot of two sets. dd.plot(1, 2 = rmvnorm(nrow(1), array(0, ncol(1)), diag(1, ncol(1), ncol(1))), main = "Normal DD-plot", lab = "Sample Depths", ylab = "Normal Depths", col = "black", pch = 20) 1 2 main lab ylab col pch A matri or a.frame with each row as a p-variate observation. A matri or a.frame (defaults to a standard independent p-variate normal). Plot labels. The title of the plot. Plot labels. The -ais label of the plot. Plot labels. The y-ais label of the plot. The color of the points character string or vector of 1-characters or integers for plotting characters. A DD-plot of the input See Also spatial.depth u<-matri(rnorm(300,1,4),ncol=3) dd.plot(u)
3 multi.quant 3 multi.quant Multivariate Quantile Used to compute the p-variate quantile of a p-variate observation with respect to a p-variate cloud. multi.quant(, ) A numeric p-variate spatial rank. Elements must lie within -1 and +1, with a 0-vector denoting the median. A matri or a.frame with each row as a p-variate observation. The th mutivariate quantile with respect to. See Also spatial.rank u<-matri(rnorm(90,0,1),ncol=3) u0<-runif(3,0,1) multi.quant(spatial.rank(u0,u),u)
4 4 spatial.outlier spatial.depth Spatial Depth spatial.depth is used to find the spatial depth of one or more p-variate observation(s) in a cloud of numerous p-variate observations. spatial.depth(, ) A matri or a.frame of objects (numerical vector as one object) whose depth is to be found; each row consists a p-variate observation. A matri or a.frame of objects which acts as the cloud. Each row consists of a p-variate observation. Numerical vector of depths, one for each row in ; or one depth value if is numerical. u<-matri(rnorm(90,0,1),ncol=3) u0<-matri(runif(9,0,1),ncol=3) spatial.depth(u0,u) spatial.outlier Multivariate Spatial Outlier spatial.outlier is used to find the multivariate spatial outlier within a p-variate cloud or to identify if any p-variate observation is an outlier with respect to a p-variate cloud. spatial.outlier(, =, threshold = 0.05)
5 spatial.rank 5 threshold A matri or a.frame of p-variate observations which works as the cloud. A matri or a.framep-variate to test whether is an outlier with respect to the. Defaults to, to find outliers (if eists) within the. A decimal threshold between 0 and 1 on the spatial.depth. Spatial depth values less than which will be considered as outlier. Defaults to Usually taken as 0.1 or 0.05 or FALSE :: If there doesnot eist any outlier A list with objects (If outliers eist) inde :: Returns the indices of the outliers observation :: Returns the p-variate outliers u<-matri(rnorm(60,0,1),ncol=3) u0<-matri(runif(9,3,4),ncol=3) spatial.outlier(u,rbind(u,u0)) spatial.rank Spatial Rank Used to compute the Spatial Rank of a p-variate observation with respect to a p-variate cloud. spatial.rank(, ) A numeric p-variate vector whose spatial rank is to be calculated. A matri or a.frame with each row as a p-variate observation. The spatial rank of with respect to.
6 6 spatial.rank u<-matri(rnorm(90,0,1),ncol=3) u0<-runif(3,0,1) spatial.rank(u0,u)
7 Inde dd.plot, 2 multi.quant, 3 spatial.depth, 2, 4, 5 spatial.outlier, 4 spatial.rank, 3, 5 7
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