#' ---
#' title: "Tests: The Linear Regression Model (Descriptives - Simple Regression)"
#' author: "Ivan Jacob Agaloos Pesigan"
#' date: "`r Sys.Date()`"
#' output: rmarkdown::html_vignette
#' vignette: >
#' %\VignetteIndexEntry{Tests: The Linear Regression Model (Descriptives - Simple Regression)}
#' %\VignetteEngine{knitr::rmarkdown}
#' %\VignetteEncoding{UTF-8}
#' ---
#'
#+ include = FALSE
knitr::opts_chunk$set(
error = TRUE,
collapse = TRUE,
comment = "#>",
out.width = "100%"
)
#'
#'
# The Linear Regression Model: Descriptives - Simple Regression {#linreg-estimation-descriptives-simple-example}
#'
#+ echo = FALSE
library(testthat)
library(jeksterslabRlinreg)
#'
#' ## Data
#'
#' See `jeksterslabRdatarepo::wages.matrix()` for the data set used in this example.
#'
#+
X <- jeksterslabRdatarepo::wages.matrix[["X"]]
# age is removed
X <- X[, "education"]
X <- unname(
cbind(
1,
X
)
)
y <- unname(
jeksterslabRdatarepo::wages.matrix[["y"]]
)
head(X)
head(y)
#'
#+
data <- X[, -1]
data <- cbind(
y,
data
)
n <- nrow(X)
k <- ncol(X)
df1 <- k - 1
df2 <- n - k
muhatX <- as.vector(colMeans(X))
muhatX <- muhatX[-1]
muhaty <- mean(y)
muhat <- c(muhaty, muhatX)
Rhat <- as.vector(cor(data))
RXhat <- 1
ryXhat <- cor(data)
ryXhat <- ryXhat[1, 2]
Sigmahat <- as.vector(cov(data))
SigmaXhat <- as.vector(var(X[, -1]))
sigmayXhat <- cov(data)
sigmayXhat <- sigmayXhat[1, 2]
sigma2Xhat <- var(X[, -1])
sigma2yhat <- var(y)
sigma2hat <- c(sigma2yhat, sigma2Xhat)
sigmahat <- sqrt(sigma2hat)
#'
#' ## Descriptive Statistics
#'
#+
output <- descriptives(
X = X,
y = y,
)
result_X <- as.vector(output[["X"]])
result_y <- as.vector(output[["y"]])
result_data <- as.vector(output[["data"]])
result_n <- as.vector(output[["n"]])
result_k <- as.vector(output[["k"]])
result_df1 <- as.vector(output[["df1"]])
result_df2 <- as.vector(output[["df2"]])
result_muhatX <- as.vector(output[["muhatX"]])
result_muhaty <- as.vector(output[["muhaty"]])
result_muhat <- as.vector(output[["muhat"]])
result_Rhat <- as.vector(output[["Rhat"]])
result_RXhat <- as.vector(output[["RXhat"]])
result_ryXhat <- as.vector(output[["ryXhat"]])
result_Sigmahat <- as.vector(output[["Sigmahat"]])
result_SigmaXhat <- as.vector(output[["SigmaXhat"]])
result_sigmayXhat <- as.vector(output[["sigmayXhat"]])
result_sigma2Xhat <- as.vector(output[["sigma2Xhat"]])
result_sigma2yhat <- as.vector(output[["sigma2yhat"]])
result_sigma2hat <- as.vector(output[["sigma2hat"]])
result_sigmahat <- as.vector(output[["sigmahat"]])
#'
#'
#+
context("Test linreg-estimation-descriptives")
test_that("X", {
X_vector <- as.vector(X)
for (i in 1:length(result_X)) {
expect_equivalent(
result_X[i],
X_vector[i]
)
}
})
test_that("y", {
y_vector <- as.vector(y)
for (i in 1:length(result_y)) {
expect_equivalent(
result_y[i],
y_vector[i]
)
}
})
test_that("data", {
data_vector <- as.vector(data)
for (i in 1:length(result_data)) {
expect_equivalent(
result_data[i],
data_vector[i]
)
}
})
test_that("n", {
expect_equivalent(
n,
result_n
)
})
test_that("k", {
expect_equivalent(
k,
result_k
)
})
test_that("df1", {
expect_equivalent(
df1,
result_df1
)
})
test_that("df2", {
expect_equivalent(
df2,
result_df2
)
})
test_that("muhatX", {
for (i in 1:length(result_muhatX)) {
expect_equivalent(
muhatX[i],
result_muhatX[i]
)
}
})
test_that("muhaty", {
expect_equivalent(
muhaty,
result_muhaty
)
})
test_that("muhat", {
for (i in 1:length(result_muhat)) {
expect_equivalent(
muhat[i],
result_muhat[i]
)
}
})
test_that("Rhat", {
for (i in 1:length(result_Rhat)) {
expect_equivalent(
Rhat[i],
result_Rhat[i]
)
}
})
test_that("RXhat", {
expect_equivalent(
RXhat,
result_RXhat
)
})
test_that("ryXhat", {
for (i in 1:length(result_ryXhat)) {
expect_equivalent(
ryXhat[i],
result_ryXhat[i]
)
}
})
test_that("Sigmahat", {
for (i in 1:length(result_Sigmahat)) {
expect_equivalent(
Sigmahat[i],
result_Sigmahat[i]
)
}
})
test_that("SigmaXhat", {
for (i in 1:length(result_SigmaXhat)) {
expect_equivalent(
SigmaXhat[i],
result_SigmaXhat[i]
)
}
})
test_that("sigmayXhat", {
for (i in 1:length(result_sigmayXhat)) {
expect_equivalent(
sigmayXhat[i],
result_sigmayXhat[i]
)
}
})
test_that("sigma2Xhat", {
for (i in 1:length(result_sigma2Xhat)) {
expect_equivalent(
sigma2Xhat[i],
result_sigma2Xhat[i]
)
}
})
test_that("sigma2yhat", {
expect_equivalent(
sigma2yhat,
result_sigma2yhat
)
})
test_that("sigma2hat", {
for (i in 1:length(result_sigma2hat)) {
expect_equivalent(
sigma2hat[i],
result_sigma2hat[i]
)
}
})
test_that("sigmahat", {
for (i in 1:length(result_sigmahat)) {
expect_equivalent(
sigmahat[i],
result_sigmahat[i]
)
}
})
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.