StatsWithR.md

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Modern Statistics With Software

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This is a homepage for MAT241, Modern Statistics with Software, with Dr. Gilbert at Southern New Hampshire University. This course covers an introduction to data, exploratory data analyses and data visualization, one- and two-sample inference via confidence intervals and hypothesis testing for both proportions and means, chi-squared tests for goodness of fit and independence, ANOVA for comparisons of multiple group means, and introduces linear regression. The course also provides and introduction to R, the use of which is embedded throughout the semester.

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MAT 241 - Modern Statistics with Software (R)

Syllabus (Fall 2026)

Course Description: This is a fundamental course in modern-day data, data visualization, and the application of statistical techniques to analyze and make inferences from sample data. In a world where data is being constantly collected, it is necessary for individuals to be data literate, to have exposure to the power of data, and to understand as well as practice proper and ethical analyses with data. In a world where data has become abundant, rather than scarce, statistical tools are evolving. This course looks at modern statistical techniques in the age of "Big-Data".

Software Use: Students in this course should expect to use R and RStudio locally. I’ve written setup instructions for both Windows and Mac users. If you are a student planning to complete this course with a Chromebook or tablet, then you may create a Posit Cloud account and use RStudio from the web, but you should see me about expectations for exams.

Still not quite sure what to expect? Check out this in-browser version of the Day 1 Material

Course Timeline and Notebooks

Below is a tentative timeline for our course. It includes preparatory work that should be done prior to each class meeting, a description of what to expect during a given class meeting, and assignments following each class meeting. The preparatory work consists of interactive R notebooks and is accessed via the tutorials tab of the rop-right pane in RStudio on Posit.cloud directly from your web-browser. The table below contains links to each activity.

Class Meeting	Before Class	During Class	After Class
1	Review Syllabus Setup Software	Introduction and What to Expect (Slides) Troubleshooting Data Exploration (html, or Quarto)
2	Intro to Data (opens in a new tab)	Austin Housing Dataset (html or Quarto) Companion Slides	MyOpenMath HW 1
3	Intro to R (opens in a new tab)	Getting Familiar with R Austin Housing (Cont'd) Companion Slides
4	Descriptive Statistics (opens in a new tab)	Exploring and Describing Data Austin Housing (Cont'd) Companion Slides	MyOpenMath HW 2
5	Data Visualization (opens in a new tab)	Data Visualization Austin Housing (Cont'd) Companion Slides
6	Discrete Probability Distributions (opens in a new tab)	Probabilities and Simulation Doris and Buzz (html or Quarto) or Companion Slides
7	Normal Distributions (opens in a new tab)	Probabilities and Normal Distributions MyOpenMath Problems (html or Quarto) or Companion Slides	MyOpenMath HW 4
8		Discrete Distributions Lab (opens in a new tab) or Mixed Probability Practice Exit Ticket
9		Normal Distribution Lab (opens in a new tab) or Mixed Probability Practice Exit Ticket
10		Exam I, Part I (Group)
11		Exam I, Part II (Individual)
12	Foundations for Inference (opens in a new tab)	Intro Inference Lab (opens in a new tab), or Companion Slides	MyOpenMath HW 5
13	Inference for a Proportion (opens in a new tab)	Hypothesis Tests and Confidence Intervals for Proportions Companion Slides
14	Inference on Proportions Practice (opens in a new tab)	Inference for Categorical Data (html or Quarto) Companion Slides	MyOpenMath HW 6
15		Inference on Proportions Lab (opens in a new tab) Exit Ticket
16	Chi Square Tests (opens in a new tab)	Inference for More than Two Proportions (html or Quarto) or Companion Slides	MyOpenMath HW 7
17	Inference for Numerical Data (opens in a new tab)	Hypothesis Tests and Confidence Intervals for One or Two Means (html or Quarto) or Companion Slides
18	Additional Inference Practice, Part A (opens in a new tab)	Practice Problems Exit Ticket
19	Additional Inference Practice, Part B (opens in a new tab)	Practice Problems Two Examples and Discussion on Error Types Exit Ticket	MyOpenMath HW 8
20	Additional Inference Practice, Part C (opens in a new tab)	Practice Problems "Answer" Key Exit Ticket
21		Inference for Numerical Data Lab (opens in a new tab) Slides on Reading Software Output	MyOpenMath HW 9
22		Exam II, Part I (Group)
23		Exam II, Part II (Individual)
24	Analysis of Variance (opens in a new tab)	ANOVA and Linear Regression (html or Quarto) or ANOVA and Linear Regression Slides
25		Linear Regression Lab (opens in a new tab)	MyOpenMath HW 10
26		Review
27		Final Exam, Part I
28		Final Exam, Part II (Optional)

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