P421 Lab - Basic Statistics Homework
Lillian Brown
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 data: take(mtcars, mean_mpg = mean(mpg), by = am)##
## Use 'expss_output_rnotebook()' to display tables inside R Notebooks.
## To return to the console output, use 'expss_output_default()'.Import & Examine Data
# Import the "fakedata_2025.csv" file
d2 <- read.csv("Data/projectdata.csv")
str(d2)## 'data.frame': 3143 obs. of 7 variables:
## $ ResponseID: chr "R_BJN3bQqi1zUMid3" "R_2TGbiBXmAtxywsD" "R_12G7bIqN2wB2N65" "R_39pldNoon8CePfP" ...
## $ income : chr "1 low" "1 low" "rather not say" "rather not say" ...
## $ edu : chr "2 Currently in college" "5 Completed Bachelors Degree" "2 Currently in college" "2 Currently in college" ...
## $ swb : num 4.33 4.17 1.83 5.17 3.67 ...
## $ mindful : num 2.4 1.8 2.2 2.2 3.2 ...
## $ efficacy : num 3.4 3.4 2.2 2.8 3 2.4 2.3 3 3 3.7 ...
## $ stress : num 3.3 3.3 4 3.2 3.1 3.5 3.3 2.4 2.9 2.7 ...# 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$edu)##
## 1 High school diploma or less, and NO COLLEGE
## 57
## 2 Currently in college
## 2544
## 3 Completed some college, but no longer in college
## 34
## 4 Complete 2 year College degree
## 179
## 5 Completed Bachelors Degree
## 135
## 6 Currently in graduate education
## 134
## 7 Completed some graduate degree
## 60table(d2$income)##
## 1 low 2 middle 3 high rather not say
## 879 876 535 853# use histograms to visualize continuous data (4 variables)
hist(d2$swb)
hist(d2$mindful)
hist(d2$efficacy)
hist(d2$stress)
Univariate Normality for Continuous Variables
describe(d2)## vars n mean sd median trimmed mad min max
## ResponseID* 1 3143 1572.00 907.45 1572.00 1572.00 1165.32 1.00 3143.0
## income* 2 3143 2.43 1.16 2.00 2.42 1.48 1.00 4.0
## edu* 3 3143 2.50 1.25 2.00 2.17 0.00 1.00 7.0
## swb 4 3143 4.47 1.32 4.67 4.53 1.48 1.00 7.0
## mindful 5 3143 3.71 0.84 3.73 3.72 0.79 1.13 6.0
## efficacy 6 3143 3.13 0.45 3.10 3.13 0.44 1.10 4.0
## stress 7 3143 3.05 0.60 3.00 3.05 0.59 1.30 4.7
## range skew kurtosis se
## ResponseID* 3142.00 0.00 -1.20 16.19
## income* 3.00 0.15 -1.44 0.02
## edu* 6.00 2.21 3.77 0.02
## swb 6.00 -0.36 -0.45 0.02
## mindful 4.87 -0.06 -0.14 0.02
## efficacy 2.90 -0.24 0.45 0.01
## stress 3.40 0.03 -0.16 0.01## 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 (6) were within the accepted range (-2/+2). However, (1) variable (Education Level) were outside of the accepted range. For this analysis, we will use them anyway, but outside of this class this is bad practice.
Bivariate Plots
Crosstabs
Crosstabs are used to visualize combinations of two categorical variables.
cross_cases(d2, edu, income)|  income | ||||
|---|---|---|---|---|
|  1 low |  2 middle |  3 high |  rather not say | |
|  edu | ||||
| Â Â Â 1 High school diploma or less, and NO COLLEGEÂ | 20 | 9 | 7 | 21 |
|    2 Currently in college | 633 | 724 | 470 | 717 |
|    3 Completed some college, but no longer in college | 14 | 14 | 2 | 4 |
|    4 Complete 2 year College degree | 74 | 44 | 24 | 37 |
|    5 Completed Bachelors Degree | 55 | 37 | 16 | 27 |
|    6 Currently in graduate education | 65 | 25 | 8 | 36 |
|    7 Completed some graduate degree | 18 | 23 | 8 | 11 |
|    #Total cases | 879 | 876 | 535 | 853 |
## 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$swb, d2$stress,
main="Scatterplot of Satisfaction with Life and Stress",
xlab = "Satisfaction with Life",
ylab = "Stress")
plot(d2$mindful, d2$efficacy,
main="Scatterplot of Mindfulness and Efficacy",
xlab = "Mindfulness",
ylab = "Efficacy")
# 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, efficacy~edu,
main="Boxplot of Efficacy by Education Level",
xlab = "Education Level",
ylab = "Efficacy")
boxplot(data=d2, stress~income,
main="Boxplot of Stress by Income",
xlab = "Income",
ylab = "Stress")
# 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!!