#' ---
#' title: "Test: alpha2crit"
#' author: "Ivan Jacob Agaloos Pesigan"
#' date: "`r Sys.Date()`"
#' output: rmarkdown::html_vignette
#' vignette: >
#' %\VignetteIndexEntry{Test: alpha2crit}
#' %\VignetteEngine{knitr::rmarkdown}
#' %\VignetteEncoding{UTF-8}
#' ---
#'
#+ knitr_options, include=FALSE, cache=FALSE
knitr::opts_chunk$set(
error = TRUE,
collapse = TRUE,
comment = "#>",
out.width = "100%"
)
#'
#+ setup
library(testthat)
library(jeksterslabRboot)
context("Test alpha2crit.")
#'
#' ## Standard Normal Distribution
#'
#' ### Two-Tailed
#'
#+ testthat_01
test_that("z two-tailed vector", {
expect_equivalent(
round(
alpha2crit(
alpha = c(
0.001,
0.01,
0.05
)
),
digits = 3
),
round(
alpha2crit(
alpha = c(
0.05,
0.01,
0.001
)
),
digits = 3
),
round(
ci2crit(
ci = c(
0.999,
0.99,
0.95
)
),
digits = 3
),
round(
ci2crit(
ci = c(
0.95,
0.99,
0.999
)
),
digits = 3
),
round(
c(
-3.290527,
-2.575829,
-1.959964,
1.959964,
2.575829,
3.290527
),
digits = 3
)
)
})
#'
#+ testthat_02
test_that("z two-tailed single value", {
expect_equivalent(
round(
alpha2crit(
alpha = 0.05
),
digits = 3
),
round(
ci2crit(
ci = 0.95
),
digits = 3
),
round(
c(
-1.959964,
1.959964
),
digits = 3
)
)
})
#'
#' ## Student's t Distribution ($\nu = 1000$)
#'
#' ### Two-Tailed
#'
#+ testthat_03
test_that("t two-tailed vector", {
expect_equivalent(
round(
alpha2crit(
alpha = c(
0.001,
0.01,
0.05
),
dist = "t",
df = 1000
),
digits = 3
),
round(
alpha2crit(
alpha = c(
0.05,
0.01,
0.001
),
dist = "t",
df = 1000
),
digits = 3
),
round(
ci2crit(
ci = c(
0.999,
0.99,
0.95
),
dist = "t",
df = 1000
),
digits = 3
),
round(
ci2crit(
ci = c(
0.95,
0.99,
0.999
),
dist = "t",
df = 1000
),
digits = 3
),
round(
c(
-3.290527,
-2.575829,
-1.959964,
1.959964,
2.575829,
3.290527
),
digits = 3
)
)
})
#'
#+ testthat_04
test_that("t two-tailed single value", {
expect_equivalent(
round(
alpha2crit(
alpha = 0.05,
dist = "t",
df = 1000
),
digits = 3
),
round(
ci2crit(
ci = 0.95,
dist = "t",
df = 1000
),
digits = 3
),
round(
c(
-1.959964,
1.959964
),
digits = 3
)
)
})
#'
#' ## Standard Normal Distribution
#'
#' ### One-Tailed
#'
#' #### Right Tail
#'
#+ testthat_05
test_that("z one-tailed right vector", {
expect_equivalent(
round(
alpha2crit(
alpha = c(
0.001,
0.01,
0.05
),
two.tailed = FALSE
),
digits = 3
),
round(
alpha2crit(
alpha = c(
0.05,
0.01,
0.001
),
two.tailed = FALSE
),
digits = 3
),
round(
ci2crit(
ci = c(
0.999,
0.99,
0.95
),
two.tailed = FALSE
),
digits = 3
),
round(
ci2crit(
ci = c(
0.95,
0.99,
0.999
),
two.tailed = FALSE
),
digits = 3
),
round(
c(
1.644854,
2.326348,
3.090232
),
digits = 3
)
)
})
#'
#+ testthat_06
test_that("z one-tailed right single value", {
expect_equivalent(
round(
alpha2crit(
alpha = 0.05,
two.tailed = FALSE
),
digits = 3
),
round(
ci2crit(
ci = 0.95,
two.tailed = FALSE
),
digits = 3
),
round(
1.644854,
digits = 3
)
)
})
#'
#' ## Student's t Distribution
#'
#' ### One-Tailed
#'
#' #### Right Tail
#'
#+ testthat_07
test_that("t one-tailed right vector", {
expect_equivalent(
round(
alpha2crit(
alpha = c(
0.001,
0.01,
0.05
),
dist = "t",
two.tailed = FALSE,
df = 1000
),
digits = 3
),
round(
alpha2crit(
alpha = c(
0.05,
0.01,
0.001
),
dist = "t",
two.tailed = FALSE,
df = 1000
),
digits = 3
),
round(
ci2crit(
ci = c(
0.999,
0.99,
0.95
),
dist = "t",
two.tailed = FALSE,
df = 1000
),
digits = 3
),
round(
ci2crit(
ci = c(
0.95,
0.99,
0.999
),
dist = "t",
two.tailed = FALSE,
df = 1000
),
digits = 3
),
round(
c(
1.644854,
2.326348,
3.090232
),
digits = 3
)
)
})
#'
#+ testthat_08
test_that("t one-tailed right single value", {
expect_equivalent(
round(
alpha2crit(
alpha = 0.05,
dist = "t",
two.tailed = FALSE,
df = 1000
),
digits = 3
),
round(
ci2crit(
ci = 0.95,
dist = "t",
two.tailed = FALSE,
df = 1000
),
digits = 3
),
round(
1.644854,
digits = 3
)
)
})
#'
#' ## Standard Normal Distribution
#'
#' ### One-Tailed
#'
#' #### Left Tail
#'
#+ testthat_09
test_that("z one-tailed left vector", {
expect_equivalent(
round(
alpha2crit(
alpha = c(
0.001,
0.01,
0.05
),
two.tailed = FALSE,
right.tail = FALSE
),
digits = 3
),
round(
alpha2crit(
alpha = c(
0.05,
0.01,
0.001
),
two.tailed = FALSE,
right.tail = FALSE
),
digits = 3
),
round(
ci2crit(
ci = c(
0.999,
0.99,
0.95
),
two.tailed = FALSE,
right.tail = FALSE
),
digits = 3
),
round(
ci2crit(
ci = c(
0.95,
0.99,
0.999
),
two.tailed = FALSE,
right.tail = FALSE
),
digits = 3
),
round(
c(
-3.090232,
-2.326348,
-1.644854
),
digits = 3
)
)
})
#'
#+ testthat_10
test_that("z one-tailed left single value", {
expect_equivalent(
round(
alpha2crit(
alpha = 0.05,
two.tailed = FALSE,
right.tail = FALSE
),
digits = 3
),
round(
ci2crit(
ci = 0.95,
two.tailed = FALSE,
right.tail = FALSE
),
digits = 3
),
round(
-1.644854,
digits = 3
)
)
})
#'
#' ## Student's t Distribution
#'
#' ### One-Tailed
#'
#' #### Left Tail
#'
#+ testthat_11
test_that("t one-tailed left vector", {
expect_equivalent(
round(
alpha2crit(
alpha = c(
0.001,
0.01,
0.05
),
dist = "t",
two.tailed = FALSE,
right.tail = FALSE,
df = 1000
),
digits = 3
),
round(
alpha2crit(
alpha = c(
0.05,
0.01,
0.001
),
dist = "t",
two.tailed = FALSE,
right.tail = FALSE,
df = 1000
),
digits = 3
),
round(
ci2crit(
ci = c(
0.999,
0.99,
0.95
),
dist = "t",
two.tailed = FALSE,
right.tail = FALSE,
df = 1000
),
digits = 3
),
round(
ci2crit(
ci = c(
0.95,
0.99,
0.999
),
dist = "t",
two.tailed = FALSE,
right.tail = FALSE,
df = 1000
),
digits = 3
),
round(
c(
-3.090232,
-2.326348,
-1.644854
),
digits = 3
)
)
})
#'
#+ testthat_12
test_that("t one-tailed left single value", {
expect_equivalent(
round(
alpha2crit(
alpha = 0.05,
dist = "t",
two.tailed = FALSE,
right.tail = FALSE,
df = 1000
),
digits = 3
),
round(
ci2crit(
ci = 0.95,
dist = "t",
two.tailed = FALSE,
right.tail = FALSE,
df = 1000
),
digits = 3
),
round(
-1.644854,
digits = 3
)
)
})
#'
#' ## F Distribution
#'
#' ### One-Tailed
#'
#' #### Right Tail
#'
#+ testthat_13
test_that("F one-tailed right vector", {
expect_equivalent(
round(
alpha2crit(
alpha = c(
0.001,
0.01,
0.05
),
dist = "F",
df1 = 2,
df2 = 2
),
digits = 0
),
round(
alpha2crit(
alpha = c(
0.05,
0.01,
0.001
),
dist = "F",
df1 = 2,
df2 = 2
),
digits = 0
),
round(
ci2crit(
ci = c(
0.999,
0.99,
0.95
),
dist = "F",
df1 = 2,
df2 = 2
),
digits = 0
),
round(
ci2crit(
ci = c(
0.95,
0.99,
0.999
),
dist = "F",
df1 = 2,
df2 = 2
),
digits = 0
),
round(
c(
19,
99,
999
),
digits = 0
)
)
})
#'
#' ## $\chi^2$ Distribution
#'
#' ### One-Tailed
#'
#' #### Right Tail
#'
#+ testthat_14
test_that("chisq one-tailed right vector", {
expect_equivalent(
round(
alpha2crit(
alpha = c(
0.001,
0.01,
0.05
),
dist = "chisq",
df = 1
),
digits = 3
),
round(
alpha2crit(
alpha = c(
0.05,
0.01,
0.001
),
dist = "chisq",
df = 1
),
digits = 3
),
round(
ci2crit(
ci = c(
0.999,
0.99,
0.95
),
dist = "chisq",
df = 2
),
digits = 3
),
round(
ci2crit(
ci = c(
0.95,
0.99,
0.999
),
dist = "chisq",
df = 2
),
digits = 3
),
round(
c(
3.841459,
6.634897,
10.827566
),
digits = 3
)
)
})
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