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# Probability and Statistics - Self-Paced

##
Probability and Statistics - Self-Paced

## AN INCLUSIVE AND SUPPORTIVE ENVIRONMENT TO LEARN

## ABOUT PROBABILITY AND STATISTICS

## THE CONTENT

## REQUIREMENTS

## FREQUENTLY ASKED QUESTIONS

This course aims to provide an accessible, inclusive, and supportive space to learn. Anyone can enroll for free from anywhere in the world. All learners, no matter what their gender, ethnicity, or socio-economic status, can be successful in this course. The primary goal is not to test and evaluate learners, but to offer a supportive environment to learn more about probability and statistics. Welcome!

This course is self-paced and is provided free of charge. There are no due dates, and participants are welcome to work through as much or as little of the material as they wish. There is no instructor involved, and no credit, Statement of Accomplishment, or any type of verification or certification of completion is given. The course is simply here for people who want to learn more about Statistics.

**Price:** Free

The Probability and Statistics course contains four main units that have several sections within each unit.

**Exploratory Data Analysis:** This unit is organized into two sections – Examining Distributions and Examining Relationships. The general approach is to provide participants with a framework that will help them choose the appropriate descriptive methods in various data analysis situations.

**Producing Data:** This unit is organized into two sections – Sampling and Designing Studies.

**Probability:** In this course the unit is a classical treatment of probability and includes basic probability principles, finding probability of events, conditional probability, discrete random variables (including the Binomial distribution) and continuous random variables (with emphasis on the normal distribution). The probability unit culminates in a discussion of sampling distributions that is grounded in simulation. For a streamlined version of probability that forgoes the classical treatment of probability in favor of an empirical approach using relative frequency, participants may see the OLI Statistical Reasoning course.

**Inference:** This unit introduces participants to the logic as well as the technical side of the main forms of inference: point estimation, interval estimation and hypothesis testing. The unit covers inferential methods for the population mean and population proportion, inferential methods for comparing the means of two groups and of more than two groups (ANOVA), the Chi-Square test for independence and linear regression. The unit reinforces the framework that the participants were introduced to in the Exploratory Data Analysis for choosing the appropriate, in this case, inferential method in various data analysis scenarios.

Throughout the course there are many interactive elements. These include: simulations, “walk-throughs” that integrate voice and graphics to explain an example of a procedure or a difficult concept, and, most prominently, interactive activities in which participants practice problem solving, with hints and immediate and targeted feedback.

The course is built around a series of carefully devised learning objectives that are independently assessed.

Knowledge of basic algebra.

**How much time will it take to complete this course?**

This course is designed to be equivalent to one semester of a college statistics course.

**Does this course require any software?**

No.

**Does this course offer a Statement of Accomplishment?**

No.

Course topic: