This program is designed to provide the learner with a solid foundation in probability theory to prepare for the broader study of statistics. It will also introduce the learner to the fundamentals of statistics and statistical theory and will equip the learner with the skills required to perform fundamental statistical analysis of a data set in the R programming language.

Discover new skills with $120 off courses from industry experts. Save now.


Data Science Foundations: Statistical Inference Specialization
Build Your Statistical Skills for Data Science. Master the Statistics Necessary for Data Science


Instructors: Anne Dougherty
15,621 already enrolled
Included with
(191 reviews)
Recommended experience
(191 reviews)
Recommended experience
What you'll learn
Skills you'll gain
- Probability
- Descriptive Statistics
- Statistics
- Applied Mathematics
- Probability Distribution
- Statistical Methods
- Statistical Inference
- Bayesian Statistics
- Sampling (Statistics)
- Data Ethics
- Data Analysis
- Artificial Intelligence
- Statistical Analysis
- Quantitative Research
- Data Science
- A/B Testing
- Probability & Statistics
- Statistical Hypothesis Testing
What’s included

Add to your LinkedIn profile
Advance your subject-matter expertise
- Learn in-demand skills from university and industry experts
- Master a subject or tool with hands-on projects
- Develop a deep understanding of key concepts
- Earn a career certificate from University of Colorado Boulder

Specialization - 3 course series
What you'll learn
Explain why probability is important to statistics and data science.
See the relationship between conditional and independent events in a statistical experiment.
Calculate the expectation and variance of several random variables and develop some intuition.
Skills you'll gain
What you'll learn
Identify characteristics of “good” estimators and be able to compare competing estimators.
Construct sound estimators using the techniques of maximum likelihood and method of moments estimation.
Construct and interpret confidence intervals for one and two population means, one and two population proportions, and a population variance.
Skills you'll gain
What you'll learn
Define a composite hypothesis and the level of significance for a test with a composite null hypothesis.
Define a test statistic, level of significance, and the rejection region for a hypothesis test. Give the form of a rejection region.
Perform tests concerning a true population variance.
Compute the sampling distributions for the sample mean and sample minimum of the exponential distribution.
Skills you'll gain
Earn a career certificate
Add this credential to your LinkedIn profile, resume, or CV. Share it on social media and in your performance review.
Build toward a degree
This Specialization is part of the following degree program(s) offered by University of Colorado Boulder. If you are admitted and enroll, your completed coursework may count toward your degree learning and your progress can transfer with you.¹
Instructors


Offered by
Why people choose Coursera for their career





Open new doors with Coursera Plus
Unlimited access to 10,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription
Advance your career with an online degree
Earn a degree from world-class universities - 100% online
Join over 3,400 global companies that choose Coursera for Business
Upskill your employees to excel in the digital economy
Frequently asked questions
Statistical Inference for Data Science Applications takes approximately 16 weeks of instruction.
Sequence in calculus up through Calculus II (preferably multivariate calculus) and some programming experience in R.
Courses do not have to be taken a specific order, though it's recommended that learners follow the sequence of courses if they have no previous experience with data structures or algorithm analysis and design.
More questions
Financial aid available,