#' ---
#' title: "Tests: The Linear Regression Model (Predicted)"
#' author: "Ivan Jacob Agaloos Pesigan"
#' date: "`r Sys.Date()`"
#' output: rmarkdown::html_vignette
#' vignette: >
#' %\VignetteIndexEntry{Tests: The Linear Regression Model (Predicted)}
#' %\VignetteEngine{knitr::rmarkdown}
#' %\VignetteEncoding{UTF-8}
#' ---
#'
#+ include = FALSE
knitr::opts_chunk$set(
error = TRUE,
collapse = TRUE,
comment = "#>",
out.width = "100%"
)
#'
#'
# The Linear Regression Model: Predicted Values {#linreg-estimation-predicted-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[, -ncol(X)]
y <- jeksterslabRdatarepo::wages.matrix[["y"]]
head(X)
head(y)
#'
#' ## $\mathrm{Py}$
#'
#+
Pmatrix <- P(X = X)
betahat <- betahat(
X = X,
y = y
)
result_Py1 <- .Py(
y = y,
P = Pmatrix
)
result_Py2 <- .Py(
y = y,
X = X
)
result_Py3 <- Py(
X = X,
y = y
)
#'
#' ## $\mathrm{X} \hat{\boldsymbol{\beta}}$
#'
#+
result_Xbetahat1 <- .Xbetahat(
X = X,
y = y
)
result_Xbetahat2 <- .Xbetahat(
X = X,
betahat = betahat
)
result_Xbetahat3 <- Xbetahat(
X = X,
y = y
)
#'
#' ## $\hat{\mathrm{y}}$
#'
#+
result_yhat <- yhat(
X = X,
y = y
)
#'
#' ## `lm()` function
#'
#+
lmobj <- lm(
wages ~ gender + race + union + education + experience,
data = jeksterslabRdatarepo::wages
)
lm_yhat <- as.vector(predict(lmobj))
#'
#'
#+
context("Test linreg-estimation-projection")
test_that("Py = yhat.", {
expect_equivalent(
length(result_Py1),
length(result_Py2),
length(result_Py3),
length(result_Xbetahat1),
length(result_Xbetahat2),
length(result_Xbetahat3),
length(result_yhat),
length(lm_yhat)
)
for (i in seq_along(result_Py1)) {
expect_equivalent(
result_Py1[i],
lm_yhat[i]
)
}
for (i in seq_along(result_Py2)) {
expect_equivalent(
result_Py2[i],
lm_yhat[i]
)
}
for (i in seq_along(result_Py3)) {
expect_equivalent(
result_Py3[i],
lm_yhat[i]
)
}
for (i in seq_along(result_Xbetahat1)) {
expect_equivalent(
result_Xbetahat1[i],
lm_yhat[i]
)
}
for (i in seq_along(result_Xbetahat2)) {
expect_equivalent(
result_Xbetahat2[i],
lm_yhat[i]
)
}
for (i in seq_along(result_Xbetahat3)) {
expect_equivalent(
result_Xbetahat3[i],
lm_yhat[i]
)
}
for (i in seq_along(result_yhat)) {
expect_equivalent(
result_yhat[i],
lm_yhat[i]
)
}
})
test_that("error.", {
expect_error(
.Py(
y = y
)
)
expect_error(
.Xbetahat(
X = X
)
)
})
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