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# Intro to the Tidyverse by Colleen O'Briant
# Koan #12: Stats in R
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# In order to progress:
# 1. Read all instructions carefully.
# 2. When you come to an exercise, fill in the blank, un-comment the line
# (Ctrl/Cmd Shift C), and execute the code in the console (Ctrl/Cmd Return).
# If the piece of code spans multiple lines, highlight the whole chunk or
# simply put your cursor at the end of the last line.
# 3. Save (Ctrl/Cmd S).
# 4. Test that your answers are correct (Ctrl/Cmd Shift T).
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# Statistical Distributions in R
# The first section of this exercise is an example of how to work with the
# normal distribution in R for random number generation, plots, and hypothesis
# testing.
# In the three sections that follow, you'll practice the same thing but with the
# t distribution and the F distribution.
# Run this code to get started:
library(tidyverse)
## ── Attaching packages ─────────────────────────────────────── tidyverse 1.3.1 ──
## ✔ ggplot2 3.3.6 ✔ purrr 0.3.4
## ✔ tibble 3.1.7 ✔ dplyr 1.0.9
## ✔ tidyr 1.2.0 ✔ stringr 1.4.0
## ✔ readr 2.1.2 ✔ forcats 0.5.1
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag() masks stats::lag()
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# ----- The normal distribution -----
# Read the help docs here:
?rnorm
# ----- rnorm() -----
# Random generation: 'rnorm(n, mean, sd)' (r is for random). This generates a
# vector of n random numbers from the normal (0, 1) distribution:
rnorm(n = 10, mean = 0, sd = 1)
## [1] -0.1984937 -1.5061672 0.4734800 0.4420842 0.3986300 1.5862660
## [7] -1.1236842 0.5965805 0.6070901 0.1113507
# ----- dnorm() -----
# Here I use 'dnorm' (d is for density) to draw the density of the normal
# distribution in a ggplot.
ggplot() +
stat_function(
fun = dnorm,
args = list(mean = 0, sd = 1),
geom = "line"
) +
xlim(-5, 5)
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)
# ----- qnorm() -----
# Hypothesis testing using 'qnorm()' (q for quantile):
# Is a test statistic of 1.6 in the accept region or the reject region? This
# looks up the critical value for the normal distribution for a two-sided test
# at the 5% level.
qnorm(p = .975, mean = 0, sd = 1)
## [1] 1.959964
# This will tell you if 1.6 exceeds that critical value:
1.6 > qnorm(p = .975, mean = 0, sd = 1)
## [1] FALSE
# Visualize the hypothesis test using ggplot:
ggplot() +
stat_function(fun = dnorm, args = list(mean = 0, sd = 1), geom = "line") +
stat_function(fun = dnorm, args = list(mean = 0, sd = 1), geom = "area",
fill = "red", xlim = c(qnorm(.975), 5)) +
xlim(-5, 5) +
geom_vline(xintercept = 1.6, color = "blue")
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)
#:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
# ----- The t distribution -----
#
# Read the help docs here:
?rt
# --- rt() ---
# 1. Generate 8 random numbers from the t distribution with 55 degrees of ------
# freedom.
#01@
# __
#@01
# --- dt() ---
# 2. Draw the t distribution (with 55 degrees of freedom) in a ggplot. ---------
#02@
# __
#@02
# --- qt() ---
# 3. Is a test statistic of 2.2 in the accept region or the reject region? -----
# Conduct a two-sided test at the 5% level using 55 degrees of freedom.
#03@
# __
#@03
# 4. Visualize the hypothesis test using ggplot: -------------------------------
#04@
# __
#@04
#:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
# ----- The F distribution -----
#
# Read the help docs here:
?rf
# --- rf() ---
# 5. Generate 10 random numbers from the F distribution with 10 degrees of -----
# freedom in the numerator and 20 degrees of freedom in the denominator.
#05@
# __
#@05
# --- df() ---
# 6. Draw the F distribution in a ggplot. Continue to use the degrees of -------
# freedom in question 5.
#06@
# __
#@06
# --- qf() ---
# 7. Is a test statistic of 2.2 in the accept region or the reject region? -----
# Perform a one-tailed test at the 5% level.
#07@
# __
#@07
# 8. Visualize the hypothesis test using ggplot: -------------------------------
#08@
# __
#@08
#:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
# Great work! You're one step closer to tidyverse enlightenment. Make sure to
# return to this topic to meditate on it later.