Course description
Probability and Statistics IV: Confidence Intervals and Hypothesis Tests
This course covers two important methodologies in statistics –confidence intervals and hypothesis testing.
Confidence intervals are encountered in everyday life, and allow us to make probabilistic statements such as: “Based on the sample of observations we conducted, we are 95% sure that the unknown mean lies between A and B,” and “We are 95% sure that Candidate Smith’s popularity is 52% +/- 3%.” We begin the course by discussing what a confidence interval is and how it is used. We then formulate and interpret confidence intervals for a variety of probability distributions and their parameters.
Hypothesis testing allows us to pose hypotheses and test their validity in a statistically rigorous way. For instance, “Does a new drug result in a higher cure rate than the old drug?” or “Is the mean tensile strength of item A greater than that of item B?” The second half the course begins by motivating hypothesis tests and how they are used. We then discuss the types of errors that can occur with hypothesis testing, and how to design tests to mitigate those errors. Finally, we formulate and interpret hypothesis tests for a variety of probability distributions and their parameters.
Upcoming start dates
Who should attend?
Prerequisites
Learners will be expected to come in knowing some set theory and basic calculus, as well as the material from the previous courses in this series ( A Gentle Introduction to Probability , Random Variables, and A Gentle Introduction to Statistics ). The prerequisite material is all available for you to access; and in any event, we will make the current course as self-contained as possible. In addition, this course will involve a bit of computer programming, so it would be nice to have at least a little experience in something like Excel and/or the R freeware statistical package.
Training content
Module 1: Confidence Intervals
- Lesson 1: Introduction to Confidence Intervals
- Lesson 2: Normal Mean (variance known)
- Lesson 3: Difference of Two Normal Means (variances known)
- Lesson 4: Normal Mean (variance unknown) (FCPS §6.4)
- Lesson 5: Difference of Two Normal Means (unknown equal variances)
- Lesson 6: Difference of Two Normal Means (variances unknown)
- Lesson 7: Difference of Paired Normal Means (variances unknown)
- Lesson 8: Normal Variance
- Lesson 9: Ratio of Variances of Two Normals
- Lesson 10: Bernoulli Proportion
Module 2: Hypothesis Testing
- Lesson 1: Introduction to Hypothesis Testing
- Lesson 2: The Errors of Our Ways
- Lesson 3: Normal Mean Test with Known Variance
- Lesson 4: Normal Mean Test with Known Variance: Design
- Lesson 5: Two-Sample Normal Means Test with Known Variances
- Lesson 6: Normal Mean Test with Unknown Variance
- Lesson 7: Two-Sample Normal Means Tests with Unknown Variances
- Lesson 8: Two-Sample Normal Means Test with Paired Observations
- Lesson 9: Normal Variance Test
- Lesson 10: Two-Sample Normal Variances Test
- Lesson 11: Bernoulli Proportion Test
- Lesson 12: Two-Sample Bernoulli Proportions Test
- Lesson 13: Goodness-of-Fit Tests: Introduction
- Lesson 14: Goodness-of-Fit Tests: Examples
- Lesson 15 [OPTIONAL]: Goodness-of-Fit Tests: Honors Example
Course delivery details
This course is offered through The Georgia Institute of Technology, a partner institute of EdX.
6-10 hours per week
Costs
- Verified Track -$199
- Audit Track - Free
Certification / Credits
What you'll learn
Upon completion of this course, learners will be able to:
- Identify what a confidence interval is and how it is used
- Formulate and interpret confidence intervals for a variety of probability distributions and their parameters
- Determine what a hypothesis test is and how it is used
- Identify the types of errors that can occur with hypothesis testing, and how to design tests to mitigate those errors
- Formulate and interpret hypothesis tests for a variety of probability distributions and their parameters
Contact this provider
edX
edX For Business helps leading companies upskill their labor forces by making the world’s greatest educational resources available to learners across a wide variety of in-demand fields. edX For Business delivers high-quality corporate eLearning to train and engage your employees...