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Anne Dougherty and Jem Corcoran

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.

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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.

This specialization can be taken for academic credit as part of CU Boulder’s Master of Science in Data Science (MS-DS) degree offered on the Coursera platform. The MS-DS is an interdisciplinary degree that brings together faculty from CU Boulder’s departments of Applied Mathematics, Computer Science, Information Science, and others. With performance-based admissions and no application process, the MS-DS is ideal for individuals with a broad range of undergraduate education and/or professional experience in computer science, information science, mathematics, and statistics. Learn more about the MS-DS program at https://www.coursera.org/degrees/master-of-science-data-science-boulder.

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What's inside

Three courses

Probability Theory: Foundation for Data Science

(0 hours)
Understand probability's foundations and its relationship to statistics and data science. We'll learn probability calculation, independent and dependent outcomes, and conditional events. We'll study discrete and continuous random variables and their relevance to data collection. The course culminates with Gaussian random variables and the Central Limit Theorem, exploring their significance for statistics and data science.

Statistical Inference for Estimation in Data Science

(0 hours)
This course introduces statistical inference, sampling distributions, and confidence intervals. Students will learn how to define and construct good estimators, method of moments estimation, maximum likelihood estimation, and methods of constructing confidence intervals.

Statistical Inference and Hypothesis Testing in Data Science Applications

(0 hours)
This course focuses on hypothesis testing theory and implementation, particularly in data science applications. Students will learn to make informed decisions from data using hypothesis tests. We will emphasize the general logic of hypothesis testing, error and error rates, power, simulation, and the correct computation and interpretation of p-values. We will also discuss the misuse of testing concepts, especially p-values, and the ethical implications of such misuse.

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