cTMed (version 1.0.10)

TotalCentralStd: Standardized Total Effect Centrality

Description

Standardized Total Effect Centrality

Usage

TotalCentralStd(phi, sigma, delta_t, tol = 0.001)

Value

Returns an object of class ctmedmed which is a list with the following elements:

call

Function call.

args

Function arguments.

fun

Function used ("TotalCentralStd").

output

A matrix of standardized total effect centrality.

Arguments

phi

Numeric matrix. The drift matrix (\(\boldsymbol{\Phi}\)). phi should have row and column names pertaining to the variables in the system.

sigma

Numeric matrix. The process noise covariance matrix (\(\boldsymbol{\Sigma}\)).

delta_t

Vector of positive numbers. Time interval (\(\Delta t\)).

tol

Numeric. Smallest possible time interval to allow.

Author

Ivan Jacob Agaloos Pesigan

Details

The standardized total effect centrality of a variable is the sum of the standardized total effects of a variable on all other variables at a particular time interval.

See Also

Other Continuous-Time Mediation Functions: BootBeta(), BootBetaStd(), BootDirectCentral(), BootDirectCentralStd(), BootIndirectCentral(), BootIndirectCentralStd(), BootMed(), BootMedStd(), BootTotalCentral(), BootTotalCentralStd(), DeltaBeta(), DeltaBetaStd(), DeltaDirectCentral(), DeltaDirectCentralStd(), DeltaIndirectCentral(), DeltaMed(), DeltaMedStd(), DeltaTotalCentral(), DeltaTotalCentralStd(), Direct(), DirectCentral(), DirectCentralStd(), DirectStd(), Indirect(), IndirectCentral(), IndirectCentralStd(), IndirectStd(), MCBeta(), MCBetaStd(), MCDirectCentral(), MCDirectCentralStd(), MCIndirectCentral(), MCIndirectCentralStd(), MCMed(), MCMedStd(), MCPhi(), MCPhiSigma(), MCTotalCentral(), MCTotalCentralStd(), Med(), MedStd(), PosteriorBeta(), PosteriorBetaStd(), PosteriorDirectCentral(), PosteriorDirectCentralStd(), PosteriorIndirectCentral(), PosteriorIndirectCentralStd(), PosteriorMed(), PosteriorMedStd(), PosteriorTotalCentral(), PosteriorTotalCentralStd(), Total(), TotalCentral(), TotalStd(), Trajectory()

Examples

phi <- matrix(
  data = c(
    -0.357, 0.771, -0.450,
    0.0, -0.511, 0.729,
    0, 0, -0.693
  ),
  nrow = 3
)
colnames(phi) <- rownames(phi) <- c("x", "m", "y")
sigma <- matrix(
  data = c(
    0.24455556, 0.02201587, -0.05004762,
    0.02201587, 0.07067800, 0.01539456,
    -0.05004762, 0.01539456, 0.07553061
  ),
  nrow = 3
)

# Specific time interval ----------------------------------------------------
TotalCentralStd(
  phi = phi,
  sigma = sigma,
  delta_t = 1
)

# Range of time intervals ---------------------------------------------------
total_central_std <- TotalCentralStd(
  phi = phi,
  sigma = sigma,
  delta_t = 1:30
)
plot(total_central_std)

# Methods -------------------------------------------------------------------
# TotalCentralStd has a number of methods including
# print, summary, and plot
total_central_std <- TotalCentralStd(
  phi = phi,
  sigma = sigma,
  delta_t = 1:5
)
print(total_central_std)
summary(total_central_std)
plot(total_central_std)