| num_data | R Documentation |
Simulated Numerical Data
num_data
A data.frame with 1000 rows and 5 variables.
Structural equation: X_1 := \sqrt{Z} + \epsilon_1 with \epsilon_1 \sim \mathrm{Unif}[0, 2]
Structural equation: X_2 := 2 \cdot X_3 - \epsilon_2 with \epsilon_2 \sim N(5, 1)
Structural equation: X_3 := \epsilon_3 with \epsilon_3 \sim \mathrm{Unif}[5, 10]
Structural equation: Z := |\epsilon_4| with \epsilon_4 \sim N(10, 1)
Structural equation: Y := X_1^2 + X_2 - X_3 - Z + \epsilon_5 with \epsilon_5 \sim N(10, 1)
The R code used to generate this dataset is as follows:
set.seed(1405) n <- 1000 Z <- abs(rnorm(n, mean = 10)) X1 <- sqrt(Z) + runif(n, min = 0, max = 2) X3 <- runif(n, min = 5, max = 10) X2 <- 2 * X3 - rnorm(n, mean = 5) Y <- X1^2 + X2 - X3 - Z + rnorm(n, mean = 10) num_data <- data.frame(X1, X2, X3, Z, Y)
data(num_data)
head(num_data)
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