P421 Lab - Basic Statistics Homework
Sydney Pessin
2026-02-11
Basic Statistics
Load Libraries
# if you haven't used a given package before, you'll need to download it first
# after download is finished, insert a "#" before the install function so that the file will Knit later
# then run the library function calling that package
#install.packages("psych")
#install.packages("expss")
library(psych) # for the describe() command
library(expss) # for the cross_cases() command## Loading required package: maditr##
## To aggregate several columns with one summary: take(mtcars, mpg, hp, fun = mean, by = am)Import & Examine Data
# Import the "fakedata_2025.csv" file
d2 <- read.csv("Data/projectdata.csv")
str(d2)## 'data.frame': 581 obs. of 7 variables:
## $ X : int 520 2814 3146 3295 717 6056 4753 5365 2044 1965 ...
## $ mhealth : chr "none or NA" "none or NA" "none or NA" "none or NA" ...
## $ exercise : chr "1 less than 1 hour" "1 less than 1 hour" "1 less than 1 hour" "1 less than 1 hour" ...
## $ big5_con : num 3 4 6 4 3.33 ...
## $ pas_covid: num 3 3.44 4.67 2.44 1.56 ...
## $ pss : num 2.75 2.25 3 2 1.75 2 1 1.25 3 1.25 ...
## $ swemws : num 3 2.86 4 3.57 3.86 ...# Note: for the HW, you will import "projectdata.csv" that you created and exported in the Data Prep LabUnivariate Plots: Histograms & Tables
Tables are used to visualize individual categorical variables. Histograms are used to visualize individual continuous variables.
# use tables to visualize categorical data (2 variables)
table(d2$mhealth)##
## anxiety disorder bipolar
## 64 3
## depression eating disorders
## 10 15
## none or NA obsessive compulsive disorder
## 456 10
## other ptsd
## 14 9table(d2$exercise)##
## 1 less than 1 hour 2 1-2 hours 3 2-5 hours 4 5-8 hours
## 118 269 144 27
## 5 over 8 hours
## 23# use histograms to visualize continuous data (4 variables)
hist(d2$big5_con)
hist(d2$pas_covid)
hist(d2$pss)
hist(d2$swemws)
Univariate Normality for Continuous Variables
describe(d2)## vars n mean sd median trimmed mad min max range
## X 1 581 5052.12 2611.63 5592.00 5179.21 3156.46 20.00 8860 8840.00
## mhealth* 2 581 4.60 1.41 5.00 4.85 0.00 1.00 8 7.00
## exercise* 3 581 2.26 0.96 2.00 2.16 1.48 1.00 5 4.00
## big5_con 4 581 4.50 1.16 4.33 4.52 0.99 1.00 7 6.00
## pas_covid 5 581 3.21 0.66 3.22 3.23 0.66 1.22 5 3.78
## pss 6 581 3.11 0.95 3.25 3.12 1.11 1.00 5 4.00
## swemws 7 581 3.02 0.87 3.00 3.02 0.85 1.00 5 4.00
## skew kurtosis se
## X -0.34 -1.17 108.35
## mhealth* -1.50 2.45 0.06
## exercise* 0.84 0.77 0.04
## big5_con -0.14 -0.15 0.05
## pas_covid -0.25 0.17 0.03
## pss -0.14 -0.76 0.04
## swemws 0.02 -0.41 0.04## For the required write-up below, choose one of these options to paste and edit below based on your output.
## OPTION 1
# We analyzed the skew and kurtosis of our continuous variables and all were within the accepted range (-2/+2).
## OPTION 2
# We analyzed the skew and kurtosis of our continuous variables and (#) were within the accepted range (-2/+2). However, (#) variables (list variable name(s) here) were outside of the accepted range. For this analysis, we will use them anyway, but outside of this class this is bad practice.Write-up of Normality
We analyzed the skew and kurtosis of our continuous variables and all were within the accepted range (-2/+2).
Bivariate Plots
Crosstabs
Crosstabs are used to visualize combinations of two categorical variables.
cross_cases(d2, mhealth, exercise)|  exercise | |||||
|---|---|---|---|---|---|
|  1 less than 1 hour |  2 1-2 hours |  3 2-5 hours |  4 5-8 hours |  5 over 8 hours | |
|  mhealth | |||||
|    anxiety disorder | 13 | 29 | 16 | 5 | 1 |
|    bipolar | 1 | 2 | |||
|    depression | 1 | 5 | 2 | 2 | |
|    eating disorders | 4 | 4 | 5 | 1 | 1 |
| Â Â Â none or NAÂ | 93 | 214 | 112 | 19 | 18 |
|    obsessive compulsive disorder | 5 | 3 | 2 | ||
|    other | 1 | 8 | 4 | 1 | |
|    ptsd | 6 | 3 | |||
|    #Total cases | 118 | 269 | 144 | 27 | 23 |
## Some students may have issues with this function working. If this happens to you, please try these 2 options:
## Option 1: install the "maditr" package and then call in its library.
## Option 2: If Option 1 doesn't work, then you will use xtabs() instead. Fill in the code below and remove the "#" to run. Then hashtag out the cross_cases() line.
# xtabs(~ + , data=)
# Note: for HW, replace the two lab variables with your project ones)Scatterplots
Scatterplots are used to visualize combinations of two continuous variables.
plot(d2$big5_con, d2$swemws,
main="Scatterplot of Conscientiousness and Short Warwick-Edinburgh Mental Wellbeing Scale",
xlab = "Conscientiousness",
ylab = "Short Warwick-Edinburgh Mental Wellbeing Scale")
plot(d2$pas_covid, d2$pss,
main="Scatterplot of Pandemic Anxeity Scale and Percieved Stress Scale",
xlab = "Pandemic Anxeity Scale",
ylab = "Percieved Stress Scale")
# Note: for HW, you will choose to plot 2 combos of your 4 continuous variables, based on your potential hypotheses. You may repeat 1 variable to see its association with 2 others. You will need replace the variable names on the first line of the function as well as the 'main' (aka plot title), 'xlab' and 'ylab' lines to correctly label the graphs -- remember to use the actual construct names, NOT their R abbrev or full scales, so someone reading your plots can understand them.Boxplots
Boxplots are used to visualize combinations of one categorical and one continuous variable.
# ORDER MATTERS HERE: 'continuous variable' ~ 'categorical variable'
boxplot(data=d2, swemws~mhealth,
main="Boxplot of Mental Health by Short Warwick-Edinburgh Mental Wellbeing Scale",
xlab = "Short Warwick-Edinburgh Mental Wellbeing Scale",
ylab = "Mental Health")
boxplot(data=d2, pss~exercise,
main="Boxplot of Exercise by Percieved Stress Scale ",
xlab = "Percieved Stress Scale",
ylab = "Exercise")
# Note: for HW, you will choose to plot 2 combos of any of your 4 continuous variables with either of your 2 categorical variables, based on your potential hypotheses. You may repeat 1 variable to see its association with others. Again, will need replace the variable names on the first line of the function as well as the 'main' (aka plot title), 'xlab' and 'ylab' lines to correctly label the graphs -- remember to use the actual construct names, NOT their R abbrev or full scales, so someone reading your plots can understand them.That’s it!!