Introductory Statistics (Statistics 1 & Statistics 2)
Online Course for Credit taught by Michelle Everson
Aim of Course:
Why take this course instead of another online statistics course?
- You'll understand why you are learning something - a business or other real-world context for a topic will be clear.
- No memorizing formulas. The tricky concepts of hypothesis testing and confidence intervals are made crystal clear via resampling simulations (the computer equivalent of picking cards from a hat)
- Data-Science friendly. Most traditional statistics courses are blind to Data Science and its rapid growth in the statistics job market. Not this course.
- Innovative and Authoritative. The course developer, Peter Bruce, wrote the Wiley text on which the course is based, and is the co-author (with Shmueli and Patel) of Data Mining for Business Analytics (3rd ed.).
- Affordable rates & flexible scheduling. Starts every month, work at your own pace during each session.
- Approved for academic credit recommendation (3 credits) by the American Council on Education, which makes it easy to get credit at your institution.
Part 1: Statistics 1 - Probability and Study Design
WEEK 1: Study Design, Statistical Significance
- Intro, Study Design
- Measures of Central Location and Variability
- Data Format
- Null Hypothesis
- Normal Distribution
WEEK 2: Categorical Data, Contingency Tables
- Categorical Data
- Graphical Exploration
- Simple Probability
- Normal Distribution again
- 2-Way (Contingency) Tables
- Conditional Probability
WEEK 3: More Probability, Random Sampling, The Bootstrap
- Bayes Rule
- Random Sampling
WEEK 4: Confidence Intervals
- Point Estimates
- Confidence Intervals
- Formula Counterparts
- Standard Error
- Beyond Random Sampling
Part 2: Statistics 2 - Inference and Association
WEEK 1: Confidence Intervals for Proportions and Means
- CI Proportion
- CI Mean
- CI Difference in Means
- CI Difference in Proportions
- Hypothesis Tests vrs. Confidence Intervals
WEEK 2: Tests for Two Means, Proportions; Paired Comparisons
- Test 2 Means
- Test 2 Proportions
- Paired Comparisons
- 1-way and 2-way hypotheses
WEEK 3: Chi-Square, Directional Hypotheses
- More than 2 Samples
- Chi Square
- Goodness of Fit
- Null and Alternative Hypotheses
- 1-Way and 2-Way Hypotheses
WEEK 4: Simple Linear Regression
- Simple Regression
- Regression Inference
Homework in this course consists of short response exercises; the use of software is required for some exercises.
How can you get credit for these courses at your university or college? Awarding credit is up to your university, but the American Council on Education (ACE) has reviewed this course and recommends that it be recognized as the equivalent of a 3-credit undergraduate course in statistics. This is part of the "credit recommendation service" of ACE; click here for instructions on obtaining academic credit.
Those seeking ACE credit, and PASS candidates needing to satisfy their introductory statistics requirement MUST pass an online exam.
Introductory Statistics for Credit
Who Should Take This Course:
Anyone who needs a statistics course.
Beginner / Introductory
No prior study of statistics is required. The only mathematics you need is arithmetic. This course requires the use of software - read the "Software" section below.
Organization of the Course:
The course is comprised of two separate courses, taken together with a week off in-between:
Part 1: Statistics 1 - Probability and Study Design (4 weeks)
Part 2: Statistics 2 - Inference and Association (4 weeks)
Note: Parts 1 and 2 can be taken separately.
This course takes place online at the Institute for 8 weeks. During each course week, you participate at times of your own choosing - there are no set times when you must be online. Course participants will be given access to a private discussion board. In class discussions led by the instructor, you can post questions, seek clarification, and interact with your fellow students and the instructor.
At the beginning of each week, you receive the relevant material, in addition to answers to exercises from the previous session. During the week, you are expected to go over the course materials, work through exercises, and submit answers. Discussion among participants is encouraged. The instructor will provide answers and comments, and at the end of the week, you will receive individual feedback on your homework answers.
About 15 hours per week, at times of your choosing.
Students come to The Institute for a variety of reasons. As you begin the course, you will be asked to specify your category:
- You may be interested only in learning the material presented, and not be concerned with grades or a record of completion.
- You may be enrolled in PASS (Program in Analytics and Statistical Studies), which requires demonstration of proficiency in the subject, in which case your work will be assessed for a grade.
- You may require a "Record of Course Completion," along with professional development credit in the form of Continuing Education Units (CEU's). For those successfully completing the course, 5.0 CEU's and a record of course completion will be issued by The Institute, upon request.
- You may need academic credit: While each institution makes its own decisions about whether to grant credit and how much to grant, most U.S. higher education institutions participate in the American Council on Education's (ACE) credit recommendation service. ACE has evaluated and recommended college credit of 3.00 Semester Hours in Statistics or Mathematics for Introduction to Statistics by taking both Statistics 1 and Statistics 2. ACE credit recommendation requires marks of 70% or better on the two courses combined, plus passing an online proctored final online exam scheduled at the end of the Statistics 2. Click here for details about the examination process.
Introductory Statistics for Credit has been evaluated by the American Council on Education (ACE) and is recommended for the lower-division baccalaureate/associate degree category, 3 semester hours in statistics. Note: The decision to accept specific credit recommendations is up to each institution. More info here
The text for this course is Introductory Statistics and Analytics: A Resampling Perspective by Peter Bruce, (2014, Wiley). This course material will also be provided electronically, with updates, as part of the course, but you may wish to purchase the book as a reference to retain after the course is over.
In this course, software is needed for statistical analysis and simple resampling/simulation operations. We recommend one of these 4 options:
- Regular Excel (not Excel Starter) and Box Sampler
- Regular Excel (not Excel Starter) and Resampling Stats for Excel
Excel: you will need to have some facility with using formulas in Excel. If you don't, please review either this tutorial or this tutorial before the course starts.
Box Sampler: this is a free add-in for Excel, designed as a visual teaching and learning tool for doing resampling simulations. Runs only on Windows. Installation file is here, documentation here.
Resampling Stats for Excel: this is a commercial add-in for Excel, designed as a practitioner's tool for doing resampling simulations. A free license is available to all course participants, while they are enrolled in the statistics.com sequence of introductory statistics courses. Runs only on Windows. Enrolled students will be given access to a free 1-year trial of Resampling Stats through the software download link on the main Stats course webpage. You can also visit the Resampling Stats website and download the 1-year trial here.
StatCrunch: this is a very affordable web-based statistical software program, which also has simulation and resampling capabilities. Runs over the web, so can be used with both Windows and Mac. Resampling is not as intuitive as with Box Sampler and Resampling Stats for Excel. Learn more at www.statcrunch.com.
NOTE for StatCrunch Users: On all platforms, we recommend that you use the New version of StatCrunch. All examples in the textbook supplement are based on the New version of StatCrunch.
R: R is a powerful opensource statistical scripting language that is widely recognized as an industry standard. You will need to have familiarity with R and RStudio prior to taking the Statistics 1, 2 or 3 courses if you choose to use R as your software package. Comprehensive supplemental materials are available for R users. You can learn more about R here and RStudio here.