Description Usage Arguments Value Author(s) References Examples
The function computes the asymmetric influential measure to identify influential observations in high dimensional linear regression using the single detection approach.
1 2 3 4 5 6 | shidetify(
x,
y,
asymvec,
alpha
)
|
x |
Matrix of the predictors. |
y |
Numeric vector of the response variable. |
asymvec |
Numeric vector of the asymmetric values. It is suggested to choose 3 asymetric points within the quartile. |
alpha |
Significance level. |
A dataframe with two variables.
ind |
Index of the observations |
outlier_ind |
Influential observations indicator: 1 if influential and 0 otherwise |
Amadou Barry barryhafia@gmail.com
Barry, A., Bhagwat, N., Misic, B., Poline, J.-B., and Greenwood, C. M. T. (2020). Asymmetric influence measure for high dimensional regression. Communications in Statistics - Theory and Methods.
Barry, A., Bhagwat, N., Misic, B., Poline, J.-B., and Greenwood, C. M. T. (2021). An algorithm-based multiple detection influence measure for high dimensional regression using expectile. arXiv: 2105.12286 [stat]. arXiv: 2105.12286.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 | ## Simulate a dataset where the first 10 observations are influentials
require("MASS")
# the vector of asymetric point
asymvec <- c(0.25,0.5,0.75)
# the parameter of interest
beta_param <- c(3,1.5,0,0,2,rep(0,1000-5))
# the contamination parameter
gama_param <- c(0,0,1,1,0,rep(1,1000-5))
# Covariance matrice for the predictors distribution
sigmain <- diag(rep(1,1000))
for (i in 1:1000)
{
for (j in i:1000)
{
sigmain[i,j] <- 0.5^(abs(j-i))
sigmain[j,i] <- sigmain[i,j]
}
}
# set the seed
set.seed(13)
# the predictor matrix
x <- mvrnorm(100, rep(0, 1000), sigmain)
# the error variable
error_var <- rnorm(100)
# the response variable
y <- x %*% beta_param + error_var
y <- as.numeric(y)
### Generate influential observations
# the contaminated response variable
youtlier <- y
youtlier[1:10] <- x[1:10,] %*% (beta_param + 1.2*gama_param) + error_var[1:10]
youtlier <- as.numeric(youtlier)
# the significance level
alpha <- 0.05
df_single_influential <-
shidetify(
x,
youtlier,
asymvec,
alpha)
|
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