funcharts: regr_cc_fof_real_time – R documentation

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regr_cc_fof_real_time

Real-time functional regression control chart

Description

This function produces a list of data frames, each of them is produced by regr_cc_fof and is needed to plot control charts for monitoring a functional response variable and multivariate functional covariates each evolving up to an intermediate domain point.

Usage

regr_cc_fof_real_time(
  mod_list,
  mfdobj_y_new_list,
  mfdobj_x_new_list,
  mfdobj_y_tuning_list = NULL,
  mfdobj_x_tuning_list = NULL,
  alpha = list(T2 = 0.025, spe = 0.025),
  ncores = 1
)

Arguments

`mod_list`	A list of lists produced by `fof_pc_real_time`, containing a list of function-on-function linear regression models estimated on functional data each evolving up to an intermediate domain point.
`mfdobj_y_new_list`	A list created using `get_mfd_df_real_time` or `get_mfd_list_real_time`, denoting a list of functional data objects in the phase II monitoring data set, each evolving up to an intermediate domain point, with observations of the functional response variable The length of this list and `mod_list` must be equal, and their elements in the same position in the list must correspond to the same intermediate domain point.
`mfdobj_x_new_list`	A list created using `get_mfd_df_real_time` or `get_mfd_list_real_time`, denoting a list of functional data objects in the phase II monitoring data set, each evolving up to an intermediate domain point, with observations of the multivariate functional covariates. The length of this list and `mod_list` must be equal, and their elements in the same position in the list must correspond to the same intermediate domain point.
`mfdobj_y_tuning_list`	A list created using `get_mfd_df_real_time` or `get_mfd_list_real_time`, denoting a list of functional data objects in the tuning data set (used to estimate control chart limits), each evolving up to an intermediate domain point, with observations of the functional response variable. The length of this list and `mod_list` must be equal, and their elements in the same position in the list must correspond to the same intermediate domain point. If NULL, the training data, i.e. the functional response in `mod_list`, is also used as the tuning data set. Default is NULL.
`mfdobj_x_tuning_list`	A list created using `get_mfd_df_real_time` or `get_mfd_list_real_time`, denoting a list of functional data objects in the tuning data set (used to estimate control chart limits), each evolving up to an intermediate domain point, with observations of the multivariate functional covariates. The length of this list and `mod_list` must be equal, and their elements in the same position in the list must correspond to the same intermediate domain point. If NULL, the training data, i.e. the functional covariates in `mod_list`, are also used as the tuning data set. Default is NULL.
`alpha`	See `regr_cc_fof`.
`ncores`	If you want parallelization, give the number of cores/threads to be used when creating objects separately for different instants.

Value

A list of data.frames each produced by regr_cc_fof, corresponding to a given instant.

Examples

library(funcharts)
data("air")
air1 <- lapply(air, function(x) x[1:8, , drop = FALSE])
air2 <- lapply(air, function(x) x[9:10, , drop = FALSE])
mfdobj_x1_list <- get_mfd_list_real_time(air1[c("CO", "temperature")],
                                         n_basis = 15,
                                         lambda = 1e-2,
                                         k_seq = c(0.5, 1))
mfdobj_x2_list <- get_mfd_list_real_time(air2[c("CO", "temperature")],
                                         n_basis = 15,
                                         lambda = 1e-2,
                                         k_seq = c(0.5, 1))
mfdobj_y1_list <- get_mfd_list_real_time(air1["NO2"],
                                         n_basis = 15,
                                         lambda = 1e-2,
                                         k_seq = c(0.5, 1))
mfdobj_y2_list <- get_mfd_list_real_time(air2["NO2"],
                                         n_basis = 15,
                                         lambda = 1e-2,
                                         k_seq = c(0.5, 1))
mod_list <- fof_pc_real_time(mfdobj_y1_list, mfdobj_x1_list)
cclist <- regr_cc_fof_real_time(
  mod_list = mod_list,
  mfdobj_y_new_list = mfdobj_y2_list,
  mfdobj_x_new_list = mfdobj_x2_list)
plot_control_charts_real_time(cclist, 1)

funcharts

Functional Control Charts

v1.0.0

GPL-3

Authors

Christian Capezza [cre, aut], Fabio Centofanti [aut], Antonio Lepore [aut], Alessandra Menafoglio [aut], Biagio Palumbo [aut], Simone Vantini [aut]

Initial release